The probability that they include at least five persons having blood of type O is given as follows:
0.1075 = 10.75%.
The number of donors needed so that the probability of including at least one student donor of type O shall be 0.9 or more is of 184 donors.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of the parameters for this problem are given as follows:
n = 200, p = 1/80 = 0.0125.
The probability of less than five is given as follows:
P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).
Using a binomial distribution calculator, these probabilities are given as follows:
P(X = 0) = 0.0808. P(X = 1) = 0.2046.P(X = 2) = 0.2576.P(X = 3) = 0.2153.P(X = 4) = 0.1342.Hence the probability of less than five successes is given as follows:
P(X < 5) = 0.0808 + 0.2046 + 0.2576 + 0.2153 + 0.1342 = 0.8925.
Hence the probability of at least five is given as follows:
P(X >= 5) = 1 - P(X < 5) = 1 - 0.8925 = 0.1075.
The probability of at least one is given as follows:
P(X >= 1) = 1 - P(X = 0)
P(X >= 1) = 1 - (1 - 0.0125)^n.
This probability is of 0.9 when:
1 - (1 - 0.0125)^n = 0.9
(0.9875)^n = 0.1
log((0.9875)^n) = log(0.1)
nlog(0.9875) = log(0.1)
n = log(0.1)/log(0.9875)
n = 183.1.
Rounding up, at least 184 donors must be surveyed.
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Solve for : -3(x+8)=30
Answer: -18
Step-by-step explanation:
Distribute the -3 to the values inside the parentheses, (x and 8) which equals -3x-24.
Then, use inverse operations by adding 24 on both sides (it will cancel on the left) to get -3x=53
Then divide -3 on both sides to get x by itself
Answer:
-18
Step-by-step explanation:
-3(x+8)=30
by dividing 3 from both sides
-(x+8)=10
by multiplying -1 for both sides
(x+8)= -10
by subtracting 8 from both sides
x = -18
From the set {28, 56, 112}, use substitution to determine which value of x makes the equation true.
x ÷ 2 = 56
The number in the replacement set that will make the equation true is (c) 112
How to determine the solution to the expressione/equation?From the question, we have the following parameters that can be used in our computation:
x ÷ 2 = 56
Rewrite the expression properly
so, we have the following representation
x/2 = 56
Also, we have the replacement set to be
{28, 56, 112}
In the given equation, we have the variable to be
The variable is x
Multiply 2 to both sides of the expression
So, we have the following representation
2 * x/2 = 56 * 2
Evaluate the products on both sides of the equation
x = 112
Hence, the solution is x = 112
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Which is the graph of the equation y-1=(x-3)?
O
(-31).
10
CO
8
fi
Q
4.
y
Answer:
The graph of the equation "y - 1 = (x - 3)" is a straight line.
To graph this equation, we can start by rearranging the equation to get "y = x - 3 + 1". This simplifies to "y = x - 2".
This equation is in slope-intercept form, which means that the slope of the line is given by the coefficient of the x term, and the y-intercept (the point where the line crosses the y-axis) is given by the constant term. In this case, the slope is 1 and the y-intercept is (-2, 0).
To graph the line, we can start by plotting the y-intercept at the point (0, -2). Then, we can use the slope of 1 to find a second point on the line and draw a straight line through these two points. The graph of the equation "y = x - 2" is shown below:
[asy]
unitsize(1.5cm);
draw((-1.5,0)--(1.5,0));
draw((0,-2.5)--(0,2.5));
draw((-1.5,-2)--(1.5,2),dashed);
label("$x$", (1.5,0), E);
label("$y$", (0,2.5), N);
[/asy]
The graph of the equation "y - 1 = (x - 3)" is the same as the graph of the equation "y = x - 2", except that all the y-values on the graph are increased by 1. This means that the graph of the equation "y - 1 = (x - 3)" is obtained by shifting the graph of "y = x - 2" upward by 1 unit. The graph of the equation "y - 1 = (x - 3)" is shown below:
[asy]
unitsize(1.5cm);
draw((-1.5,0)--(1.5,0));
draw((0,-2.5)--(0,2.5));
draw((-1.5,-1)--(1.5,3),dashed);
label("$x$", (1.5,0), E);
label("$y$", (0,2.5), N);
[/asy]
The answer choices given in the question do not match the description of the graph of the equation "y - 1 = (x - 3)". "O" does not match the description of the graph, as it is not a graph of a straight line. "(-31)" and "10" do not match the description of the graph, as they are not graphs at all. "CO" does not match the description of the graph, as it is the graph of a circle, not a straight line. "8" does not match the description of the graph, as it is the graph of an exponential function, not a straight line. "fi" does not match the description of the graph, as it is not a graph of a function. "Q" does not match the description of the graph, as it is not a graph at all. "4." does not match the description of the graph, as it is not a graph of a function. "y" does not match the description of the graph, as it is not a graph at all.
Consider the line whose equation is y=x+3.
Fill in the table below and then plot the line.
For the given line whose equation is [tex]y=x+3[/tex] :
x y (x,y)
0 3 (0,3)
1 4 (1,4)
2 5 (2,5)
3 6 (3,6)
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
A line in slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept .
Given the equation y = x + 3, the slope (m) is 1 and the y-intercept (b) is 3.
So, we can fill the table like this:
For the given line whose equation is [tex]y=x+3[/tex] :
x y (x,y)
0 3 (0,3)
1 4 (1,4)
2 5 (2,5)
3 6 (3,6)
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GEOMETRY PLEASE HELP. Can you see triangles in this baseball player’s posture? Find how players improve using the properties of geometry to evaluate their positions and postures. Choose at least three examples and explain how the concepts you learned about in this Unit relate to the examples you find. For example, you might look for certain triangles formed in golf or baseball swings, or you could look for the triangles formed by players on a soccer field.
Therefore , the solution to the given problem of trigonometry comes out to be Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided form may be reduced to a set of triangles. Amazingly intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series.
Here,
Geometry has a wide variety of shapes depending on the size. The 2-d shapes include a variety of polygonal forms and the following: circle, triangle, square, rectangle, kite, trapezium, parallelogram, and rhombus.
The fundamental shapes in three dimensions are cube, cuboid, sphere, cone, and cylinder.
Many sports use geometric forms to help delineate the precise areas of play.
View the soccer field below to see how it is composed of quadrilaterals, rectangles, 90-degree angles, and circles.
Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.
Therefore , the solution to the given problem of trigonometry comes out to be Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.
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i’ll mark whoever brain list for the best answer
As a result, the necessary linear equations for the rectangle's area and perimeter are y = 18[x - 1] and z = 6[x + 1], respectively.
what is area ?An object's surface area is a measurement of the total volume of space that it occupies. The entire region surrounding a three-dimensional shape is referred to as its surface area. Its surface area is the total area of a three-dimensional shape. By adding the surfaces of each of a cuboid's six rectangular sides, one may determine the cuboid's surface area. The box's dimensions could also be named using the following formula: Surface (SA) = 2lw + 2lh + 2hw. A three-dimensional shape's surface area is a measurement of the total area it occupies (a three-dimensional shape is a shape that has height, width, and depth).
given
here,
Length = 3x + 3
Width = 6
Area of the rectangle = y, = length × width
y = [3x - 3 ] × [6]
y = 18x - 18 = 18[x -1]
Perimeter of the rectangle = 2[length + width]
z = 2 [3x + 3]
z = 6[x + 1]
As a result, the necessary linear equations for the rectangle's area and perimeter are y = 18[x - 1] and z = 6[x + 1], respectively.
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The correct question is :- Write a linear equation that represents the area and a linear equation that represents the perimeter of the rectangle (3x-3) cm and 6 cm .
Question 9 of 10
Which is the largest number?
OA. 5.8 x 10-3
B. 2.5 x 105
о C. 1.9 × 106
OD. 8.7 x 10²
On solving the provided question, we can say that F= The lifting force is 27135 0.003357*250*180*180 = F=27135, surface area
What is surface area and an illustration?The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.
The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.
F= k*a*v^2
a= 250
v=190
30300=k*250*{190^2}
k= 0.03357
F= 0.003357*250*180*180
F=27135
The lifting force is 27135
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Which of the following are examples of voluntary exchange ? SELECT ALL THAT APPLY .
Elena swaps her cookies for a
friend's doughnut.
Jesse spends $12 to see a movie.
Jan buys herself a jacket that she really can't afford.
Miguel pays $250,000 for a new house.
Elena swaps her cookies for a friend's doughnut is the examples of voluntary exchange. Hence,
What is voluntary exchange?A voluntary exchange occurs when two parties freely exchange products or services without the use of coercion or other restrictive measures. Both parties will gain from the deal and both parties want to make the exchanged items. The idea of voluntary exchange is crucial to a free market economy.
Customers also willingly swap money to buy his strawberries. They can choose to buy strawberries somewhere else if they see that some of his strawberries have flaws. This is a voluntary exchange because both sides gain from it.
One of the most crucial principles of economics is voluntary exchange. In a market economy, where producers and consumers freely exchange products and services, this transaction is taking place. In the end, both sides benefit from the process.
Thus, option A is correct.
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The sum of two angles is 85, one angle is five more than the measure of the other angle. Write the equation that represents this scenario and find the measure of each angle. Be sure to show your
work.
Therefore , the solution of the given problem of angles comes out to be equation : x+ y =85°.
'
An angle is what?In Euclidean geometry, an angle is a shape that is made up of two rays, known as the tone's flanks, that meet at a midpoint known as such angle's vertex. Two rays may combine to form an angle there in plane where they are positioned. When two planes collide, an angular is also generated. They are referred to as dihedral angles. An angle in plane geometry is the possible configuration of two rays of lines that share a termination. The origin of the English term "angle" is the Latin phrase "angulus," which meaning "horn." The vertex is the point in which the two vectors, also known as that of the faces of the angle, converge.
Here,
Given :
Let two angles be x and y is
=> x+ y =85°
So, the equation is represented as x+ y =85°.
Therefore , the solution of the given problem of angle comes out to be equation : x+ y =85°.
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Solve for Inequality 5-1/2 x >30
Answer:
X < - 50
Step-by-step explanation:
5 - 1/2 x > 30
Move 5 to the other side of the inequality
- 1/2 x > 25
Multiply both sides by 2, to get rid of the denominator on the left side
-x > 50
Now switch the inequality sign and multiply to get the minus on the other side
x < - 50
[tex]5-\dfrac{1}{2} x > 30[/tex]
Simplify:
[tex]-\dfrac{1}{2} x+5 > 30[/tex]
Subtract 5 from both sides:
[tex]-\dfrac{1}{2} x+5-5 > 30-5[/tex]
[tex]-\dfrac{1}{2} x > 25[/tex]
Multiply both sides by [tex]-\dfrac{2}{1}[/tex]:
[tex]-\dfrac{2}{1} \times(-\dfrac{1}{2} x) > -\dfrac{2}{1} \times(25)[/tex]
[tex]\fbox{x} < \fbox{-50}[/tex]
B. Higher Order Thinking For keeping business records, every three months of a year is called a quarter. How many months are equal to three-quarters of a year? Explain how you found your answer.
Answer:
9 months
Step-by-step explanation:
1 quarter is 3 months
3 quarters is 3 times 1 quarter, so it is 3 times 3 months.
3 x 3 months = 9 months
Answer: 9 months
can you simplify 2/6?
Answer:
1/3
Step-by-step explanation:
2÷2=1
6÷2=3
Solution: 1/3
1. The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height of the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.What is the surface area of the solid formed?
100 POINTS!!! IF YOU DRAW AN ACCURATE DIAGRAM TOO, YOU WILL BE AUTOMTIC BRAINLIEST!!!!!!
If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.
First step:-
Right triangular prism=1⁵/₆ inches= 11/6 inches
Height of the base=8²/₃ inches = 26/3 inches
Second step:-
Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)
Surface area = 5(100) +43.33+ 3(18.33)
Surface area = 500) +43.33 + 55
Surface area = 598.33 in²
Therefore the surface area of the solid formed is about 598.33 in²
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The numerical coefficient of 3xy2 is 2 true or false
Answer:
false
Step-by-step explanation:
[tex]3xy^{2}[/tex]
The coefficient is 3
Hope this helps
Person A baked 4 1/2 Dozens of cookies for a bake sale.
Person B Baked 1 1/2 as many as Person A
Person C Baked 2 1/3 as many as Person B
How many cookies did each person bake? How many did they bake altogether?
Please also tell me how you got the answer, thanks.
This question is related to Fractions.
The cookies that each person bake will be:
A = 4 1/2 dozen cookies
B = 6 3/4 dozen cookies
C = 15 3/4 dozen cookies.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
Person A baked 4 1/2 Dozens of cookies for a bake sale. Person B Baked 1 1/2 as many as Person A. This will be:
= 1 1/2 × 4 1/2
= 6 3/4
Person C Baked 2 1/3 as many as Person B. This will be:
= 2 1/3 × 6 3/4
= 7/3 × 27/4
= 15 3/4
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10. What is a composition of rigid motions and a dilation that maps APZY onto ARST
I’m confused on this subject please explain to me how you got an answer thank you
Answer:
dilation by a factor of 1/2reflection over the line y = -xStep-by-step explanation:
You want to find a sequence of transformations that will map ∆PZY to ∆RST as shown in the figure.
DilationFirst of all, we notice the triangles are not the same size. We can find the required dilation factor by finding the ratio of corresponding side lengths.
The first two letters in the triangle designators in the similarity statement are PZ and RS. Since RS is the target size, the dilation factor needs to be ...
k = RS/PZ
Counting grid squares in the figure, we see this ratio is ...
k = 2/4 = 1/2
Dilation by a factor of 1/2 will make triangle PZY the same size as ∆RST.
Using the origin as the center of the dilation, all of the points of ∆PZY move to a position that is half their original distance from the origin. The dilated triangle is purple triangle P'Z'Y' in the attached figure.
ReflectionWhen we name the vertices of ∆PZY or ∆P'Z'Y', we are naming them in counterclockwise order. The vertices of ∆RST are being named in clockwise order. This reversal of the sequence of vertices is caused by a reflection over a line.
The line of reflection will be halfway between a vertex and its reflected image. For example, reflecting ∆P'Z'Y' across the y-axis give ∆P"Z"Y", as shown in the attached figure. This reflection requires an additional transformation to map P"Z"Y" to RST.
We want to map P' to R, Z' to S, and Y' to T. As it happens the line halfway between these pairs of points is the line y=-x, the dashed line shown in the attachment.
Reflection across the line y = -x will map ∆P'Z'Y' to ∆RST.
This transformation, together with the dilation above, will map the ∆PZY to ∆RST as required.
__
RotationIf we use the reflection over the y-axis described above, we are faced with mapping ∆P"Z"Y" to ∆RST. We notice that segment P"Z" points "east" (in the +x direction). We want to map this segment to RS, which points "north" (in the +y direction). That can be accomplished by rotating ∆P"Z"Y" 90° counterclockwise about the origin.
So, another sequence of transformation that will make the required mapping is ...
dilation by a factor of 1/2reflection across the y-axisrotation 90° CCWThe order of reflection and rotation is important. The dilation can occur anywhere in the sequence.
Alternate solutionPerhaps you realize that we could reflect the figure across the x-axis instead of the y-axis. In that case, the rotation needs to be 90° CW to complete the mapping. That is, yet another sequence could be ...
dilation by a factor of 1/2reflection across the x-axisrotation 90° CWIf you decide you want to do the rotation before the reflection, then the direction of rotation is reversed.
__
Additional comment
Figuring the answer to these mapping problems requires a certain amount of spatial sense. It can help to cut a figure from paper or cardboard and label the vertices. Then you can translate it, rotate it, flip it over, to see what works to get it to the right position. If you have a little trouble with the rotation, you can stick a pin through the center of rotation so your figure keeps its appropriate distance and orientation relative to that center.
Tracing paper and/or transparencies can be helpful for these exercises.
Carlos measures an angle x. He then finds that the complement of the angle is 35 degrees. A. What is the measure of angle x? B. What is the supplement of angle x?
Therefore , the solution of the given problem of complementary angles comes out to be x = 55° and y =125°.
Describe complimentary angles.A pair of angles is considered to be complementary if their sum equals 90 degrees. Two angles are referred to as submissive if their sums total 180 degrees. Follow-up pain Utilizing fresh gruesome milk, as usual Prior to, before, ahead of The angles of thirty and sixty degrees, for example, are supplementary. In contrast to a supplemental angle, which is two angles joined to create a 90 degree angle, a supplementary triangle tilt is two possible approaches combined to create a 180 degree angle. If the sum of two angles is 90 degrees, they are said to be complementary. A straight angle, to put it another way
Here,
Given : complementary angle one of the angle is 35°
=> x+ 35° = 90°
=> x = 55°
Let y be the supplement of angle x
=> x+ y = 180°
=>55° + y =180°
=>y =125°
Therefore , the solution of the given problem of angle comes out to be
x = 55° and y =125°.
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15 points help please solve each equation for both variables
Answer:
I hope this helps. Let me know if you have any doubts. Have a nice day!!
find the volume of the following solids:
The volume of the solid is 104 cubic centimeters.
What is cuboid?A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.
Given:
We have the cuboid.
And the height of the cuboid is 2 centimeters.
Length = 9 centimeters.
Width = 8 centimeters.
The volume of a cuboid is,
= Length × Width × Height Cubic units.
= 9 x 8 x 2
= 144 cubic centimeters.
And we have missing part of the cuboid.
And the height of the missing cuboid is 2 centimeters.
Length = 9-4 = 5 centimeters.
Width = 8 - 4 = 4 centimeters.
The volume of the missing cuboid is,
= Length × Width × Height Cubic units.
= 5 x 4 x 2
= 40 cubic centimeters.
So, the required volume,
= Total volume - missing volume
= 144 - 40
= 104 cubic centimeters.
Therefore, the required volume is 104 cubic centimeters.
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i am Once again asking for help on this difficult question- i am timed pls help :
Find the range of the relation. x y –3 4 –2 2 –1 0 0 –2 1 –4 Responses {–4, 4} {–4, 4} {–3, –2, –1, 0, 1} {–3, –2, –1, 0, 1} {–4, –3, –2, –1, 0, 1, 2, 4} {–4, –3, –2, –1, 0, 1, 2, 4} {–4, –2, 0, 2, 4}
The range of the function will be;
⇒ { 4, 2, 0, - 2, - 4 }
or, { - 4, - 2, 0, 2, 4 }
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The relation is,
⇒ (x, y) = (- 3, 4) , (- 2, 2), (- 1, 0), (0, - 2), (1, - 4)
Now,
Since, The relation is,
⇒ (x, y) = (- 3, 4) , (- 2, 2), (- 1, 0), (0, - 2), (1, - 4)
We know that;
The range of relation is the value of y.
Hence, The range of relation = { 4, 2, 0, - 2, - 4 }
Thus, The range of the function will be;
⇒ { - 4, - 2, 0, 2, 4 }
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Show that 20 subtracted by O is 20, using at least four daily life examples
Answer:Sure! Here are four daily life examples where 20 subtracted by 0 is equal to 20:
1. You have 20 pieces of fruit in a basket, and you take 0 pieces of fruit out of the basket. You are left with 20 pieces of fruit in the basket.
2. You have 20 minutes left on your parking meter, and you add 0 more minutes to the meter. You still have 20 minutes left on the meter.
3. You have 20 dollars in your wallet, and you spend 0 dollars. You still have 20 dollars in your wallet.
4. You have 20 pages left to read in a book, and you haven't read any additional pages. You still have 20 pages left to read.
Keshia goes to the post office to mail a package and a few letters. Stamps cost 49 cents each. It will cost $7.65 to mail the package. Keshila has 10.00. a. Write an inequality to represent this situation, where x is the number of stamps.
The inequality to represent the number of stamps Keshia can buy with $10.00, considering that each stamp costs 49 cents, can be written as:
0.49x + 7.65 <= 10.00
Define Inequality.An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
The inequality to represent the number of stamps Keshia can buy with $10.00, considering that each stamp costs 49 cents, can be written as:
0.49x + 7.65 <= 10.00
This inequality can be read as "the cost of x number of stamps plus the cost of the package is less than or equal to Keshia's budget of $10.00."
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What is the repeated addition of 9x0=
Answer:
The answer is zero
Step-by-step explanation:
Hope it helps
Ready
Equivalent Expressions & the Distributive Property-
A tiny house has a length of 25 feet. The width of the kitchen is 3 feet, and the width of the
remaining living space is 12 feet.
Which expression represents the area
of the tiny house?
3(12+25)
25-3+12
25(3+12)
3-12 +25
25 ft
3 ft
12 ft
Answer: The area of the tiny house can be represented by multiplying the length of the house by the width. Since the width of the kitchen is 3 feet, and the width of the remaining living space is 12 feet, the total width of the house is 3+12 = 15 feet.
So the area of the tiny house is 25 ft * 15 ft = 2515 = 375 sq ft.
The expression that correctly represents the area of the tiny house is 25 * 15 =375.
So the correct answer is 2515 = 375 ft^2
The other expressions you gave are not the correct representation of the area of the house
3(12+25) = 3 * 37 = 111 ft^2
25-3+12 = 25 - 3 + 12 = 34 ft^2
25(3+12) = 25 * 15 = 375 ft^2
3-12 +25 = 3 - 12 + 25 = 16 ft^2
25 ft , 3 ft and 12 ft are not represent the area of the house.
Step-by-step explanation:
Please help
Which poly nominal has the zeros 1,-2i and 3
The polynomial has the zeros 1,-2i and 3 is = x³ - 5x² + 11x -15.
What does a polynomial in mathematics mean?A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, as well as division (No division operation by a variable).
How can you recognize a polynomial?A polynomial function is a function that only uses non-negative numeric powers or only positive integer exponents of something like a variable in an equation, such as the quadratic equation, cubic equation, etc. As an illustration, the polynomial 2x+5 has an exponent of 1.
According to the given information:given zeros are 1-2i and 3 .
The polynomial function p(x) is
[x - (1+2i)] × [x - (1 - 2i)] × (x - 3)
[(x - 1) - 2i] × [(x - 1) + 2i] × (x - 3)
[(x - 1)² - (2i)² × (x - 3)]
∴ (x² - 2x + 1 + 4)(x - 3)
∴ (x² - 2x + 5)(x - 3)
The polynomial has the zeros 1,-2i and 3 is = x³ - 5x² + 11x -15.
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mkaqvzcdwp how to grow a plant in various types
Answer:
Choose the right container: Select a container that is appropriate for the size and type of plant you want to grow. Make sure the container has drainage holes to allow excess water to drain away.
Use the right soil: Use a well-draining soil mix that is appropriate for the type of plant you are growing. Avoid using soil from your garden, as it may contain pests or diseases that can harm your plant.
Provide proper lighting: Most plants need plenty of sunlight to grow, so choose a location that gets plenty of light. If you are growing plants indoors, you may need to use grow lights to provide adequate lighting.
Water properly: Water your plants regularly, but avoid overwatering, as this can lead to root rot. Check the soil moisture level regularly and water when the top inch of soil is dry.
Fertilize: Use a balanced fertilize to provide your plants with the nutrients they need to grow. Follow the instructions on the fertilize package for the proper amount and frequency of application.
Pest control: Keep an eye out for pests such as aphids, thrips, and mealybugs, and take action if necessary. There are many natural ways to control pests, such as introducing predatory insects or using neem oil.
By following these general tips, you should be able to successful
There are three popular choices when it comes to growing - Hydroponics, Soil and Coco. These methods vary widely according to the source, understanding the source of your media can lead to a grower getting better results.
1. The following information relates to YANET PLC for the year ended 31 December, 2021 The statement of profit or loss for the year ended 31 December, 2021 Birr (000) 55,000 35,100 19,900 Revenue (net sales) Less: Cost of sales Gross profit Total expense EBIT Less: Interest Profit before tax Less: tax Profit for the year Assets Non-current assets Current assets Inventory Receivables Statement of Financial Position as at 31 December, 2021 2000 (Birr 000) 15,330 Cash Total Current assets Total Asset Equity and liabilities Equity Share capital Retained earnings Total Equity Non-current liabilities Long term- Loan Current liabilities 1. Rate of return on total asset 2. Profit Margin ratio 3. Current ratio 4. Inventory turnover ratio 5. Account receivable turnover ratio 1,908 4,362 2021 (Birr 000) 17,190 7,000 4,100 12,070 7,830 1,560 6,270 1,645 12,745 29,935 7,700 6,515 14,215 9,940 5,780 Total liabilities 15,720 Total equity and liabilities 29,935 Required: A) Calculate the following ratios for 2021. 22% 4% 2.5:1 6,930 3,675 2,110 12,715 28,045 6 13 40% 6 7,700 4,905 12,605 Industry Average 9,450 5,990 15.440 28,045 6. Debt ratio 7. Times interest earned B) Based on the above industry average, suggest the company profitability, liquidity and use of financial gearing.
A) The ratios for 2021 are as follows:
Rate of return on total asset = (Profit for the year / Total assets) * 100 = (12,605 / 29,935) * 100 = 42%
Profit margin ratio = (Profit for the year / Revenue) * 100 = (12,605 / 55,000) * 100 = 22.9%
Current ratio = (Current assets / Current liabilities) = (17,190 / 7,700) = 2.23:1
Inventory turnover ratio = (Cost of sales / Inventory) = (35,100 / 3,675) = 9.58
Accounts receivable turnover ratio = (Revenue / Receivables) = (55,000 / 4,905) = 11.22
Debt ratio = (Total liabilities / Total assets) = (15,720 / 29,935) = 52.6%
Times interest earned = (EBIT / Interest) = (12,715 / 1,560) = 8.14
B) Based on the above industry averages:
profitability: the company's profit margin ratio of 22.9% is lower than the industry average of 40%, which suggests that the company's profitability is lower than the industry average.
liquidity: the company's current ratio of 2.23:1 is lower than the industry average of 2.5:1, which suggests that the company's liquidity is lower than the industry average.
use of financial gearing: the company's debt ratio of 52.6% is higher than the industry average of 6%, which suggests that the company is more heavily leveraged than the industry average.
In summary, the company profitability is lower than the industry average, liquidity is lower than the industry average, and the company is more heavily leveraged than the industry average.
What is a company's profitability?
A company's profitability refers to its ability to generate a profit and return on investment. It is a measure of how well a company is able to generate revenue, control costs, and manage its assets and liabilities. Profitability ratios are used to evaluate a company's financial performance and to compare it to other companies in the same industry. Some of the most common profitability ratios include:
Gross profit margin: measures the percentage of revenue that remains after accounting for the cost of goods sold. It's calculated by dividing gross profit by revenue.
Operating profit margin: measures the percentage of revenue that remains after accounting for all operating expenses. It's calculated by dividing operating profit by revenue.
Net profit margin: measures the percentage of revenue that remains after accounting for all expenses, including taxes and interest. It's calculated by dividing net profit by revenue.
Return on assets (ROA): measures how efficiently a company is using its assets to generate a profit. It's calculated by dividing net income by total assets.
Return on equity (ROE): measures how efficiently a company is using shareholder's equity to generate a profit. It's calculated by dividing net income by shareholder's equity.
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PLEASE HELP FRACTION S EASY!! A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses pounds of gravel. For each pound of gravel, he uses pound of cement. He is making enough concrete that he needs to use 3 pounds of sand.
How many pounds of cement does he use?
The pound of cement used based on the information will be C. 2 pounds.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
In this case, for each pound of sand, he uses 1 2/3 pounds of gravel and for each pound of gravel, he uses 2/5 pound of cement.
The pound of cement used will be:
Gravel = 1 2/3 × 3
= 5 pounds
Cement used will be:
= 2/5 × 5.
= 2 pounds.
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what is schur polynomial in numerical analysis.
Schur polynomials, named after Issai Schur, are certain symmetric polynomials in n variables, indexed by partitions, that generalize the elementary symmetric polynomials and the complete homogeneous symmetric polynomials.
What is Schur polynomial?Issai Schur gave the name Schur to a class of symmetric polynomials in n variables that generalize both the complete homogeneous symmetric polynomials and the elementary symmetric polynomials. They are the features of polynomial irreducible representations of the generic linear groups in representation theory. For the space of all symmetric polynomials, the Schur polynomials provide a linear basis. Any Schur polynomial product can be expressed as a linear combination of Schur polynomials with non-negative integral coefficients; these coefficients' values are supplied combinatorially by the Littlewood-Richardson rule. More generally, skew Schur polynomials are connected to pairs of partitions and share Schur polynomials' characteristics.To learn more about Schur polynomial refer to:
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