The probability of picking a card at random from a standard deck of 52 cards is 0.019 or 0.02(approx)
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening being equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here: A card is drawn from a standard deck of 52 cards. Let the probability be P then P= 1/52
=0.02
Hence, The probability of picking a card at random from a standard deck of 52 cards is 0.019 or 0.02(approx)
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An online furniture store sells chairs for $200 each and tables for $450 each. Every day, the store can ship a maximum of 20 pieces of furniture and must sell at least $4800 worth of chairs and tables. If xx represents the number of tables sold and yy represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution. Inequality 1
Using the provided values and the conditions, The inequality equations required are : [tex]x+y \leq 20[/tex] and [tex]450x+200y \geq 4800[/tex].
What do you mean by equation?An equation is a mathematical statement in which two expressions are set equal to each other. It is typically written using an "=" sign, with the expressions on either side of the sign representing equivalent values. For example, the equation 2 + 2 = 4 states that the value of 2 plus 2 is equal to the value of 4. Equations can be used to express relationships and to solve problems.
What are inequalities?An inequality is a mathematical statement that compares two values or expressions. It is similar to an equation, but instead of using the "=" sign to indicate that the two sides are equal, it uses one of the following symbols: ">", "<", "≥", "≤" to indicate that the two sides are not equal. For example, the inequality 2 + 2 > 4 states that the value of 2 plus 2 is greater than 4. Similarly, the inequality 2 + 2 < 4 states that the value of 2 plus 2 is less than 4. Inequalities can be used to express constraints in a problem or to define a range of solutions. They can also be represented graphically by using a number line.
x= number of tables sold
y= number of chair sold
max furniture in a day = 20
so, [tex]x+y \leq 20[/tex].
least selling amount = 4800
so, [tex]450x+200y \geq 4800[/tex]
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The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the annual premium for a $110,000 5-year term policy for a 22-year-old female. Round your answer to the nearest cent.
Answer: $244.20
Step-by-step explanation:
The amounts listed are per $1,000 of coverage so if the coverage is $110,000, first find the number of $1,000 coverages this entails:
= 110,000 / 1,000
= 110
Then multiply this by the cost per $1,000 for a 22 year old female for a 5 year policy:
= 110 * 2.22
= $244.20
1. Indicate whether the value of each expression is positive or negative.
-3(-6)
(-3)(6)
-(-3)(6)
2(3)(-6)
-2(-3)(-6)
2(-3)(-6)
So we know that if you multiply a negative number by a positive number, you get a negative number. We also know that if you multiply a negative number by a negative number you get a positive number! (Two negatives cancel each other out!)
So going down the list:
(-3)(-6) = positive (two negatives!)
(-3)(6) = negative (one negative, one positive!)
-(-3)(6) = positive (this is because you multiple left to right. because the negative is technically a -1 multiplying the -3, your -3 turns into a +3!)
(2)(3)(-6) = negative
(-2)(-3)(-6) = negative (remember, you multiply in the order of left to right! So multiplying the -2 and -3 gives you a positive. However, the -6 makes that positive number negative!)
(2)(-3)(-6) = positive
I hope this helps!
Optimization A cone is made from a circular sheet of radium R by cutting out a sector and gluing the cut edges. What is the maximum volume of the cone
The cone should have its maximum volume. V=1/*3r2h is the formula for calculating the volume V of a cone with height h and radius r.
How do you find the maximum volume of a cone?The cone has a volume of
V=πr2h/3
Therefore, we must calculate the values of r and h in terms of R. R is the diameter of the cone's top-circular circle, and h is the cone's height.
R is the cone's slant height, and it serves as the hypotenuse of a right triangle.
R2 = h2 + r2, or r2 = R2-h2.
So V = (1/3)π
[R2-h2]
h = (π/3)[R2h-h3]
You must take the derivative of the cone's volume, set it to zero, then solve for h to determine the cone's maximum volume.
dV/dh=(π/3)[R2-3h2]
R2-3h2=0 --> h2=R2/3 -> h = R/√3
Now we can determine r:
r2=R2-R2/3 = (2/3)R2
The volume formula with r and h substituted:
V = (π/3)
r2h = (π/3)(2R2/3)
(R/√3)
V(R)=2πR3/(9√3)
The complete question is:
A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup (Your answer may depend on R).
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Order the following number from greatet to leat. When entering fraction pleae ue "/". For example 1/2 or 3 2/3
-0. 44, -3/8, -0. 5, -2/5
The order from greatest to least is -3/8> -2/5>-0.44>-0.5
To compare all the numbers, we first convert the numbers to their fractional equivalent.
Therefore, -0.44= -44/100
And -0.5= -5/10
Now, we covert all the numbers to get the same denominator in all the numbers, therefore, let the denominator be 100
Therefore, we multiply -3/8 with 12.5 in both numerator and denominator to get, -37.5/100
Then, we multiply -2/5 with 20 in both numerator and denominator to get, -40/100
and, we multiply -5/10 with 10 in both numerator and denominator to get -50/100
Therefore, with these resultant value we can say that, -37.5/100> -40/100 >-44/100> -50/100
Thus, -3/8> -2/5>-0.44>-0.5
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Can someone please help me with this I'm not great with math.
The width of a rectangle is unknown. The length of the rectangle is two more units than its width.
Write a simplified algebraic expression for the area of the rectangle in terms of width (w).
Write your answer in descending order with no spaces. Use w as your variable and use ^ infront of exponents
The algebraic expression for area of rectangle in terms of width(w) is w^2+2w.
What is algebraic expression?
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).
The expressions are mainly of 4 types that includes:
Monomial Expression: These expressions have only one term.Binomial Expression: These expressions have two terms.Trinomial Expression: These expressions have three terms.Polynomial Expression: These expressions have many terms.Let the width be w.
So, length of rectangle will be w+2
Now, area of rectangle is length*width
Area= (w+2)*w
= w^2+2w
Hence, a simplified algebraic expression for the area of the rectangle in terms of width (w) is w^2+2w.
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Steve wanted to build a small racetrack for his remote-control car in his back yard. He used makeshift equipment to make a perfect circle for his racetrack. The circle had a radius of 32 feet. If a car takes 3 complete turns around the racetrack, approximately, how many feet did the car travel?
Answer:
602.88 feet
Step-by-step explanation:
Number of turns = distance travelled / circumference of the circle
The circumference of a circle can be described as the linear distance round the circle
The circumference of a circle = 2πr or πD
π = 3.14
r = radius
d = diameter
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
2 x 3.14 x 32 = 200.96
feet traveled - 200.96 x 3 = 602.88 feet
Please help me with this question
Answer:
-29
Step-by-step explanation:
(−4−3)(2^2)−1
=−7(2^2)−1
=(−7)(4)−1
=−28−1
=−29
Answer:
NEGATIVE 29
Step-by-step explanation:
p
Exponents
Multiply
D
Add
Subtract
So the first exponent is
[tex]2^{2}[/tex] which is 4
So now we have multiply so
4 x ( - 4 + - 3 )
4 x - 4 = - 16
4 x - 3 = - 12
So our new equation is
- 12 - 16 - 1 = - 29 :)
So the answer is NEGATIVE 29
pls i need to know what the answer is!!!
The solution of the equation 3(2m - 1) ≤ 4m + 7 is option A m ≤ 5.
What are inequalities?A mathematical statement known as an inequality in algebra uses the inequality symbol to show the relationship between two expressions. An inequality symbol denotes that the expressions on each side are not equal.
The given inequality is 3(2m - 1) ≤ 4m + 7
Remove the brackets by multiplying 3 with each term inside it:
6m - 3 ≤ 4m + 7
Subtract 4m from both sides of the equation.
6m - 3 - 4m ≤ 4m + 7 - 4m
2m -3 ≤ 7
Add 3 to both sides of the equation.
2m - 3 + 3 ≤ 7 + 3
2m ≤ 10
Divide both sides of the equation with 2.
2m/2 ≤ 10/2
m ≤ 5
Hence the solution of the equation is m ≤ 5, that is option A.
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URGENT
The time it takes Susan to drive to work each day is normally distributed with a mean of 42 minutes and a standard deviation of 4 minutes.
Approximately what percent of workdays does it take Susan between 38 and 46 minutes to drive to work?
50%
68%
95%
99.7%
Answer:
99.7%
Step-by-step explanation:
the standard deviation is 4 minuet but there is always outliers so thats why its not 100% of the time and the minutes are coverd by the deviation.
Answer:
68%
Step-by-step explanation:
The attached normal table shows area under the standard normal curve that are to the left of a particular z-score.
To find the area between two z-scores, say [tex]z_1 < z_2[/tex], find the area to the left of [tex]z_2[/tex] then subtract the area to the left of [tex]z_1[/tex]. That difference is the area between the two z-scores.
38 minutes has a z-score [tex]z_1=\frac{38-42}{4}=-1[/tex]
46 minutes has a z-score [tex]z_2\frac{46-42}{4}=1[/tex]
Find z= 1.0 in the table. The area in that row is .8413.
Find z=-1.0 in the table. The area in that row is .1587.
The difference, .8413 - .1587 = .6826 is the area under the normal curve between z=-1 and z=1.
.6826 is about 68%
For items 15 -16 refer to the figure at the right
15. Which is the common side of Ļ BCA and Ļ ACD ?
A. segment BC B. segment CE C. segment AC D. segment CD
16. Which two angles are congruent if segment CD bisects ĻACE
A. Ļ BAC and ĻACE B. Ļ BAC and ĻACD C. Ļ CDE and ĻACE
D. Ļ ACD and ĻCDE
17. What property is described in the statement: AB ≅ AB?
A. transitive B. reflexive C. substitution D. symmetric
18. Which term refers to the collection of axioms or statements about undefined terms?
A. numeral system B. postulates C. axiomatic system D. theorems
19. What basic geometric principle are proven to be true by making connections between accepted definitions?
A. axioms B. postulates C. theorems D. defined terms
20. Which statements are assumed to be true without any proof ?
A. undefined terms B. postulates C. theorems D. defined terms
Answer:
15. C. segment AC
16. D. angles ACD and DCE
17. C. substitution
18. C. axiomatic systems
19. A. Axioms
20. D. Defined Terms
Which angle is a vertical angle to with <7?
Answer: <9
Step-by-step explanation:
Create the quadratic function that contains the points (0,2), (1,0), and (3,10). Show all of your work for full credit.
Answer:
y=7/3x²-13/3x+2
Step-by-step explanation:
Determine the value of c:
y=ax²+bx+c
2=a(0)²+b(0)+c
2=c
Substitute (1,0) into the quadratic and create an equation with a and b:
y=ax²+bx+2
0=a(1)²+b(1)+2
0=a+b+2
-2=a+b
Do the same with (3,10) to get a second equation:
y=ax²+bx+2
10=a(3)²+b(3)+2
10=9a+3b+2
8=9a+3b
Set the two equations equal to each other and solve for a and b:
-2=a+b
8=9a+3b
Multiply first equation by 3 and eliminate b to find a:
-6=3a+3b
- (8=9a+3b)
_______
-14=-6a
14/6=a
7/3=a
Substitute 7/3=a into the first equation:
-2=7/3+b
-2-(7/3)=b
-13/3=b
Final equation:
y=7/3x²-13/3x+2
See the graph for a visual representation
Can u please help.......
Using the centroid P on the triangle, the value of QN is 25.5 and PN is 8.5
What is Centroid of a TriangleThe centroid of a triangle is a point located at the intersection of the three medians (the lines that connect the vertices to the midpoints of the opposite sides). The centroid divides each median in two segments that have the same length. It is the center of gravity of the triangle and is the point at which the triangle's three medians intersect.
The centroid theorem states that the centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.
In this triangle, the centroid is at P and the QP is 17.
a) QN
The distance between QP is two-thirds the length of QN
The length of QP = 17
QP = 2/3 QN
17 = 2/3 QN
QN = (3 * 17) / 2
QN = 25.5
b) PN
The distance between PN is calculated as;
PN = QN - QP
PN = 25.5 - 17
PN = 8.5
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Dominik uses 20 grams of filling for each dumpling he makes. He has 1500 grams of dumpling filling. The grams F of filling remaining is a function of d, the number of dumplings Dominik makes.
Answer:
75 dumplings
Step-by-step explanation:
1500/20= 75
Answer:
−20d+1500
Step-by-step explanation:
I did it on khan and it worked
HELP FAST !!!
“Find the volume of the triangular prism below”
Answer:
1,848 m3
Step-by-step explanation:
ive tried everything and cant get the answer
Answer:
Slope of perpendicular line: 5
Slope of parallel line: -1/5
Step-by-step explanation:
Convert the equation to slope-intercept form (y=mx+b where m is the slope and b is the y-intercept)
x+5y=6
subtract x on both sides
5y=-x+6
divide by 5 on both sides
y=-(1/5)x+6/5
The slope of this equation is the coefficient of x, -1/5.
The slopes of two perpendicular lines are negative reciprocals of each other.
To get the negative reciprocal of a number, flip the numerator and denominator and multiply by -1.
-1/5 becomes 5, so that's the slope of a line perpendicular to our original line.
Parallel lines have the same slope, so that's just -1/5.
Slope of perpendicular line: 5
Slope of parallel line: -1/5
6(x+4)=30
how do i solve this?
I WILL MARK BRAINLYIST
Describe a meal that you could put together that provides 4 servings of both a main
course and a side dish. Explain how you know that it will not exceed the weight limit of the box
A meal that you could put together that provides 4 servings of both a main
course and a side dish and not exceeding the weight limit is 4 servings of
chicken and 4 servings of baked beans.
What are the types of representing data?Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.
Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.
Given, Each box can hold a maximum of 44 ounces.
By observing the given table we see 4 servings of chicken would weight
2×12.6 oz = 25.2 oz.
And 4 serves of baked beans weigh 14.2 oz.
Therefore, The total serving would weigh (25.2 + 14.2) oz.
= 39.4 oz.
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Anybodyyy know how to do thisss ???
Answer:
volume of a sphere is ⁴/³π r³
⁴/³ ×3.14 × 23³
3 goes into 3.14 , 1.047 times
4 ×1.047×23³
50939.17
Step-by-step explanation:
hope itade sense
What should be the value of a if the value of 2x² XA 4 equals to 5 when X 0?
The value of a is -1 When we put the value of x as zero all the terms which include x become zero then only constant terms are remaining.
The given question is in the form of an equation.
let's try to understand what is an equation.
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance,
the equation 4x + 56 = 14 consists of the two equations 4x + 56 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
There are so many types of equations present linear equations, quadratic equations, and cubic equations.
According to the degree of the equation so many different types of equations.
2x^2 + x -a + 4 = 5 put x = 0.
2*0 + 0 - a + 4 = 5
-a + 4 = 5
-a = 5 - 4
-a = 1
a = -1.
So the value of a is -1.
Given Question is incomplete complete question here
What should be the value of a if the value of 2x^2 + x -a + 4 equals to 5 when x =0.
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Katie says that if a number is a multiple of 8, it is also a multiple of 4. Is Katie correct? Explain.
Katie is correct. Any number that has 4 as a factor will also have 8 as a factor; therefore, any number that has 8 as a factor will have 4 as a factor.
Katie is correct. Since 4 is a factor of 8, any multiple of 8 will also be a multiple of 4.
Katie is incorrect. 80 is a number that has 8 as a factor but not 4.
Katie is incorrect; just because 4 is half of 8 does not mean that a number that has 8 as a factor will also have 4 as a factor. HELP PLS ASAP PLS AND THANK U
Katie is correct. Any number with 4 as a factor will also have 8 as a factor; therefore, any number with 8 as a factor will have 4 as a factor.
Katie is correct. Any number that is a multiple of 8 will also be a multiple of 4 because 8 is divisible by 4. For example, 8 is a multiple of 4 (8 = 2 x 4) and 16 is a multiple of 8 (16 = 2 x 8) and also a multiple of 4 (16 = 4 x 4). So, any number that is a multiple of 8 will also be a multiple of 4. So any number that is a multiple of 8 will also be a multiple of 4. Note that 80 is a multiple of 8, but not 4.
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The length of ome material i 8. 3m correct to 1 decimal place. Write the error interval for the length ,x, of the material
The error interval for the length ,x, of the material is [8.25, 8.35)
We know that error interval is nothing but the limits of accuracy when a number has been rounded.
It is the range of possible values that a number could have been before a number was rounded.
Here, The length L of a some material is 8.3 meters.
The length of the material has been rounded to 8.3 to one decimal place.
The number below 8.3 is 8.2 and the number above is 8.4
Consider a half way between 8.2 and 8.3 for the lower bound and half way between 8.3 and 8.4 for the upper bound.
This means, the length of the material must have been between 8.25 meters and 8.35 meters to round to 8.3 meters to one decimal place.
Therefore, the required error interval would be 8.25 ≤ x < 8.35
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Can zero be negative
Answer: no
Step-by-step explanation:
Zero is neither positive or negative
HELP PLEASE—lindo pours 5 gallons of water into 3 buckets. He pours the same amount into each bucket. How much water is in each bucket?
Answer:
5/3 or 1 2/3
Step-by-step explanation:
Simply do 5 / 3 to get your answer. You can either say it is 5/3 or 1 2/3.
plzzzzzzzzzzzzzzzzzzzzzzz help I will give 10 points and mark brainlest
Answer:
5^6
Step-by-step explanation:
help i have to turn this in today !
Rosa is 402 meters from a tall skyscraper in Chicago. Your line of sight to the top of the skyscraper is a 20 ° elevation angle to the ground. How tall is the skyscraper to the nearest decimal?
Answer:
900 meters
Step-by-step explanation:
If the height of the building (unknown) is opposite of the angle of elevation (20°) and the distance from the building (402 meters) is adjacent to the angle of elevation, then we use the tangent function to find the height of the building:
tanθ=opposite/adjacent
tan(20°)=x/402
402tan(20°)=x
900=x
Therefore, the height of the skyscraper is 900 meters.
Identify all of the necessary assumptions for a significance test for comparing dependent means.
>Categorical Data
>At least 15 successes and 15 failures in both groups
>Quantitative Data
>Random Samples or Random application of treatments
>n is greater than or equal to 30 OR Population of Differences could be Normally distributed.
>Both sample sizes are greater than 30 or Both population distributions could be Normally Distributed
The correct answer will be:
Quantitative data, both sample sizes are greater than 30 or Both population distributions could be Normally Distributed, Random Samples or Random application of treatments
There should be just one group for each subject. The observations in each category are unrelated to one another. There were no notable outliers in any category.
The following are the presumptions for a percentage significance test: Data come from a random sample [Sample is large enough, which is presumed to be true when. It should be noted that both quantitative and categorical data can be subjected to a significance test for a proportion.
Most parametric tests begin with the underlying presumption of population distribution. The ratio scale or interval scale measurements, easy random extraction, normal distribution of the data, a sufficient sample size, and homogeneity of variance are all prerequisites for performing the t-test.
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Select all the equation that depicts one of the properties of exponents
Answer:
1st, 4th and 5th are correct.
Step-by-step explanation:
How do you write a log function?
A logarithmic function can be said to be an inverse function of exponents.
There are 2 kinds of logarithmic functions, natural lo and log with a base of 10.
The natural lo has an "e" as its base. This is an irrational number often used in Mathematics.
Here we write it as:-
ln a
where a refers to any number a. We generally don't mention anything for the base because it automatically implies that the base is e.
The second way is to write:-
logₓa,
here the "x" is the base while a is any number. Now logₓa will actually give us the exponent or the power of x that will give us a result of a. Here it is important to mention the value of the base.
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