Answer:
43
Step-by-step explanation:
b) The mean is 19.
c) The standard deviation is 0.974.
d) The binomial probability is 20.
What is Standard Deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given:
n = 20, p = 0.95, q = 1 - 0.95 = 0.05
a) There are only two results per shot and they are independent of each other. Each pitch is independent of the outcome of the other pitches.
b) To calculate the mean of X.
{ E(x) = np }
So, E(x) = 95% of 20
= 19
c) The Standard Deviation is √npq
= √95/10
= 0.974
d) The binomial probability
p(x = 19) = 20! / 19!(20-19)!
=20 / 1
20
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The um of three number i 50 the firt number i twice the econd number the third number i half the firt number
If the sum of three numbers is 50, it forms a linear equation that is x + y + z = 50. By solving this equation we can get the value of x, y and z.
The Equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. There are different types of equations like linear, quadratic, cubic, etc. There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. The most basic and simple algebraic equations consist of one or more variables in math.
The sum of three number is 50 the first number is twice the second number the third number is half the first number.
x + y + z = 50
x = 2y
z = x / 2
Here we form a linear equation. A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. By solving this linear equation we can get the value of x, y and z.
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I’m confused and I need help with this question?
Answer:
c. x=9 or x=-9
Step-by-step explanation:
i hope this helps :)
Answer: C
Begin by dividing 4 on both sides to get [tex]x^{2}[/tex]=81. When a term is squared, that basically means you need to square root the equation. This would equal [tex]\sqrt{x^{2}[/tex]=[tex]\sqrt{81}[/tex]. Square rooting cancels out the x^2, leaving it as x=[tex]\sqrt{81}[/tex]. This also refers to 9,-9. (Keep in mind that when you're square rooting a number, you should always consider both positive and negative.)
-5 3/4 - 3 1/2
2 1/4
-2 1/4
-9 1/4
-8 2/3
Answer:
Step-by-step explanation:
i think you should use the graph it will help you to get your answer and see what’s the slope
If the scale of a map is 1:32000 then what will be the actual distance of 20 cm on the map?
Therefore, By using the formula actual distance = (Map distance) x (Scale ratio) the actual distance of 20 cm on the map of 1:32000 is 0.000625 km or 625 meters.
Define Scale ratio.A ratio scale is a numerical scale with a genuine zero and uniform distances between adjacent points. The Kelvin scale is an illustration of a ratio scale. The actual zero point exists on a Kelvin scale.
What are adjacent points?Two locations that are close to one another are said to be adjacent points.
A scale of 1:32000 means that one unit of measurement on the map represents 32000 units of the same measurement in the real world.
To calculate the actual distance of 20 cm on the map,
We know,
Actual distance = (Map distance) x (Scale ratio)
Actual distance = (20 cm) x (1/32000)
Actual distance= 20/32000
Actual distance = 0.000625 km or 625 meters.
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There are 96 girls in a junior class of 176 students. Find the ratio of girls to boys.a.11:6c.6:11b.5:6d.6:5
The ratio tells us how often one number is contained in another. In the class, there are six girls for every five boys. D is the right answer.
What is a Ratio?A ratio is an ordered pair of numbers a and b, expressed as a / b, where b is not equal to 0. A percentage is an equation in which two ratios are made equal to one another. For instance, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) One-fourth are boys and three-fourths are girls.
The ratio tells us how often one number is contained in another.
Considering that 96 of the 176 junior students are female. Consequently, the class's gender distribution is,
96 girls are present.
80 boys out of 176, or 96 boys.
Currently, the junior class's gender distribution is as follows:
Girls to Boys in Ratio
96 girls and 80 boys.
Divide the numerator and denominator by 16 to simplify.
Boys/Girls: 6 to 5.
Therefore, the answer is option d) 6:5.
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What is the minimum value of 2x^2 3x 5?
The minimum value of the given quadratic equation is 31/8. Solved using graph method to find a minimum value that is c - b^2/4a.
By graphing the equation and locating the minimum point on the graph, you may visually determine the minimum value. The graph's vertex will have the lowest y-value. When you have a graphing calculator that can perform the majority of the work for you, this is very simple.
A graph makes it simple to determine the minimum value of a quadratic equation. One can use the graph to identify the minimum point of the quadratic equation and to find the minimum value in a visual way. If the quadratic equation is written as [tex]y= ax^2 + b*x + c[/tex]one can follow the equation that says the minimum value is min = c- (b^2/4a) to obtain the minimum value of the quadratic equation.
Given Quadratic equation is y = 2x^2 + 3x + 5
a = 2 , b =3 ,c = 5.
Minimum value = c - (b^2/4a)
= 5 - 9/8
=31/8.
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freda is laying mulch in her garden. the garden is 8 feet by 12 feet and the mulch should be 3 inches deep. how much mulch does she need?
Answer:
288
Step-by-step explanation:
8x12x3
a car travels at a constant speed.what does the gradient of a distance-time graph of the car's journey represent?distance the car travelled, the area under the graph,the speed of the car, the acceleration of the car
the speed of the car
=========================================================
Reason:
The term "gradient" is the same as "slope".
Recall that slope = rise/run = (change in y)/(change in x).
The change in y represents how far you travel, as the distance is along the vertical axis. The change in x is the time duration.
Then,
speed = distance/time
which helps show the slope of this distance-time graph is the speed of the car. The steeper the slope, the faster the car.
-------------
An example:
The equation y = 50x has slope 50. The x is the time and y is the distance traveled.
At time x = 0 hours, you have traveled y = 0 miles.
At time x = 1 hour, you have traveled y = 50 miles.
The two points (0,0) and (1,50) are on this line. Use the slope formula to get a slope of 50, which represents the speed of the car in miles per hour (mph). Or note that y = 50x is in the form y = mx+b
m = slope = 50
b = y intercept = 0
Solve dy/dx + y/x square = 1/x square
Answer:
See below.
Step-by-step explanation:
[tex]\frac{dy}{dx}+\frac{y}{x^2}=\frac{1}{x^2}\\\\\frac{dy}{dx}=\frac{1}{x^2}-\frac{y}{x^2}\\\\\frac{dy}{dx}=\frac{1-y}{x^2}[/tex]
The first step could be more complicated if the fractions didn't already have a common denominator.
How do you solve a 3 system of equations with 3 variables?
One way to solve a system of 3 equations with 3 variables is to use Gaussian elimination or Gauss-Jordan elimination method.
Gaussian elimination method:
Write the augmented matrix of the system of equations.Use row operations to transform the matrix into an upper triangular matrix.Use back substitution to find the values of the variables.The steps for Gaussian elimination are as follows:
Write the system of equations in matrix form, where the coefficients of the variables are in the matrix and the constants are in the column vector on the right side.Use row operations to transform the matrix into an upper triangular matrix. These operations include adding or subtracting multiples of one row to another, and multiplying or dividing a row by a non-zero scalar.Use back substitution to find the values of the variables. Starting with the last equation, substitute the known values of the variables into the other equations to find the value of the next variable. Repeat until all variables are known.Gauss-Jordan elimination method is similar to Gaussian elimination, however in the final step, it converts the matrix into a Reduced Row Echelon Form (RREF) which leads to more easily solving the system of equations.
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Factor Completely:
-3x² + 15x - 12
Answer:
-3 (x - 4) (x - 1)
Step-by-step explanation:
Find the centre focus,vertex,directrix and axis of each parabola and sketch the graph? (x-1)² = y+2
The answers to each part of the question are mentioned above.
What is parabola?In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.The general equation of a parabola is given by -y = a(x – h)² + k or x = a(y – k)² +h.
where - (h, k) denotes the vertex.
Given is the equation of a parabola as -
(x - 1)² = y + 2
We can write the equation as -
y = (x - 1)² - 2
The coordinates of the vertex are : (h, k). So, we can write the coordinates of the vertex as V(1, - 2).The equation of a parabola is -[tex]$y=\frac{1}{4 \left(f - k\right)} \left(x - h\right)^{2} + k[/tex]
We can rewrite the equation of the parabola given as -[tex]$y=\frac{1}{4 \left(\frac{-7}{4} - (-2)\right)} \left(x - h\right)^{2} + k[/tex]
The coordinates of the focus are : (h, f). The coordinates of the focus will be - F(h, f) or F(1, -7/4)The distance from the focus to the vertex is the same as the distance from the vertex to the directrix so -- 2 - (- 7/4) = d - (- 2)
d = - 9/4
The equation of directrix will be :y = d
y = -9/4
The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: x = 1
Therefore, the answers to each part of the question are mentioned above.
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I NEED HELPPPPppppppp
Check the picture below.
which expression is equivalent to 20x−8y
1. 2(10x+4y)
2. 4(5x−8y)
3. 4(5x−2y)
4. x(20−8y)
Answer:
1.
Step-by-step explanation:
We are trying to find out what is equal to 2(10x+4y)
2(10x+4y)
because 2 times 10x is 20x, 4y times 2 is 8y!
Given g(x) = -x + 5, find g(-6).
Answer:
g(- 6) = 11
Step-by-step explanation:
substitute x = - 6 into g(x) , that is
g(- 6) = - (- 6) + 5 = 6 + 5 = 11
Answer:
11
Step-by-step explanation:
g(x) = -x + 5
Let x = -6
g(-6) = -(-6) + 5
=6+5
=11
Sally makes craft kits. She needs 14 colored tiles for each kit. The area model represents the number of colored tiles in 15 kits. Drag the number to complete the area model. Numbers may be used once, more than once, or not at all.
4,10,100,50,20,40,9,5
The number that can be used to complete the area model is 210 and it can be used with numbers that are dragged are 100,100,10 bearing in mind that numbers may be used more than once
We already know that we have 14 colored tiles and that each of the area models is represented by 15 colored kits
The number of colored tiles in 15 kits is 210.
To find the total number of kits to use to complete the area model, you can multiply the number of tiles per kit (14) by the number of kits (15):
14 x 15 = 210
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$115. Today, the price rose to $161. Find the percentage increase.
$
?
Answer:
40%
Step-by-step explanation:
(HELP AS FAST AS YOU CAN)!!! This dot plot is symmetric, and the data set has no
extreme values.
1 2
3
4 5
6
7
8
9 10
Which of these measures is the best measure of variability for the dot plot?
O A. Mean
B. Mean absolute deviation (MAD)
O C. Median
D. Interquartile range (IQR)
Answer:
d. interquartile range
Step-by-step explanation:
the iqr measures the first, second, and third quartile, and the median.
Can someone please please help
Answer:
144 ounces.
Step-by-step explanation:
Since 1 pound=16 ounces, we will multiply 9 times 16.
9x16=144
Therefore, the answer is 144 ounces.
What is equivalence and example?
Equivalence Relation is a type of Relation that satisfies the property of Reflexive , Symmetric and Transitive , and an example of such relation is [tex][(1, 1), (1, 3), (2, 2), (2, 4), (3, 1), (3, 3), (4, 2), (4, 4)][/tex] .
What is an Equivalence Relation ?
A relation R on a set A is can be called as an equivalence relation if and only if the relation is reflexive, symmetric and transitive.
It is a relationship on the set which is represented by symbol “∼”.
(i) Reflexive: A relation is termed as reflexive, if [tex](a, a) \in R[/tex], for every [tex]a \in A[/tex].
(ii) Symmetric: A relation is termed as symmetric, if [tex](a, b) \in R[/tex] , then [tex](b, a) \in R[/tex] .
(iii) Transitive: A relation is termed as transitive if [tex](a, b) \in R[/tex] and [tex](b, c) \in R[/tex], then [tex](a, c) \in R[/tex] .
An Example of Equivalence Relation is [tex][(1, 1), (1, 3), (2, 2), (2, 4), (3, 1), (3, 3), (4, 2), (4, 4)][/tex] because ;
(i) [tex][ (1, 1),(2, 2), (3, 3), (4, 4) ] \in R[/tex] , So , R is Reflexive .
(ii) [tex](2,4) \in R[/tex] and [tex](4,2)\in R[/tex] , Thus , relation given by R is Symmetric .
(iii) [tex](3,1) \in R[/tex] and [tex](1,3) \in R[/tex] ⇒ [tex](3,3) \in R[/tex] , So R is Transitive .
Therefore , the Relation given by R is Equivalence Relation .
The given question is incomplete , the complete question is
What is Equivalence Relation and its Example ?
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5,000 is what percent of 10,000
Answer:
50%
Step-by-step explanation:
it's half
Answer:
5,000 is half of 10,000
Step-by-step explanation:
5,000 x 2 = 10,000
10,000 divided by 2 = 5,000
5,000 plus 5,000 = 10,000
According to a "how to stop bullying" Web site, 15% of students report experiencing bullying one to three times within the most recent month. Let's assume the standard deviation is 4.5% of students. Joseph collects data from 186 students at a medium-sized school in Iowa and finds that only 11% reported this rate of bullying. What is his 95% confidence interval?
Select one:
A. [8.75, 13.25]
B. [10.353, 11.647]
C. [10.5, 19.5]
D. [6.5, 15.5]
c) A concern or risk of reporting significant mean differences between groups is that people may
If Joseph collects data from 186 students from a medium sized school in Iowa and finds that only 11% students has reported rate of bullying , then the 95% confidence interval is option (b) [tex](10.353, 11.647)[/tex] .
the students who report bullying in middle sized school is ⇒ [tex]15[/tex] percent ;
the standard deviation is given as ⇒ 4.5% = 0.045 .
the sample size is ⇒ 186 students ;
the sample proportion is ⇒ 11% = 0.11 .
we know that the for the 95 percent confidence interval the value of z score is 1.96 .
The formula to calculate the upper and lower limit of 95 percent confidence interval is :
= [tex]( Sample Proportion \pm \frac{Zscore \times Standard Deviation}{\sqrt{Population Size} })[/tex]
So , the lower limit of the interval will be calculated as :
= [tex]( 0.11 - \frac{1.96 \times 0.045}{\sqrt{186} })[/tex]
On simplifying ,
we get
= [tex]0.1035[/tex] = [tex]10.35\%[/tex] ;
So , the upper limit of the interval will be calculated as :
= [tex]( 0.11 + \frac{1.96 \times 0.045}{\sqrt{186} })[/tex]
On simplifying ,
we get ;
= [tex]0.1165[/tex] = [tex]11.65 \%[/tex]
Therefore , the required interval is [tex](10.353, 11.647)[/tex].
The given question is incomplete , the complete question is
According to a "how to stop bullying" Web site, 15% of students report experiencing bullying one to three times within the most recent month. Let's assume the standard deviation is 4.5% of students. Joseph collects data from 186 students at a medium-sized school in Iowa and finds that only 11% reported this rate of bullying. What is his 95% confidence interval ?
(a) (8.75, 13.25)
(b) (10.353, 11.647)
(c) (10.5, 19.5)
(d) (6.5, 15.5)
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Can someone help please and thank you
Answer:
Table A: f(x) = -4x - (-5)
Table B: f(x) = 4x + ⅖
Table C: f(x) = -4x + (-⅕)
Step-by-step explanation:
See explanation in the attachement below
Doughnuts at one shop cost £1.80 each.
Doughnuts at a second shop cost 15% more.
What is the difference in the cost of doughnuts at the two shops?
Answer:
Given:
Cost of doughnut at one shop = £1.40
Unknown:
Difference in the cost of doughnuts at the two shops = ?
To find the difference in the cost of doughnuts at the two shops, we must know the cost of doughnut at the second shop;
Given that the cost of doughnut at the other shop is 20% more;
= 1.20 x £1.4
= £1.68
The difference in the cost of doughnuts = £1.68 - £1.40 = £0.28
So the answer is £0.28
Answer:
If the donut cost 1.80 at the first shop it will cost 2.07 at the second shop. the difference is 27 cents
1.80×15%=.27
1.80+.27=2.07
The Drama Club is showing a video of their recent play. The first showing begins at 4:35 p.M. The second showing is scheduled at 7:15 p.M. With a 1 2 −hour break between the showings. How long is the video in hours and minutes? The video is hours and minutes. Complete the explanation of how you can use a number line to find the answer. You can work backward from the start time of the second showing at : . You count back 1 2 hour, which is minutes, for the break between showings to : . The second showing started 20 minutes late. Will the second showing be over by 9:35 p.M.? Complete the explanation why your answer is reasonable. The second showing started at : p.M. The movie lasts hours minutes, so it ends at :45 p.M. So, ? The second showing ? Be over by 9:35 p.M.
Answer:
Part A
2 hours 10 minutes
Part B;
Please find attached a number line created with MS Visio
Part C
The completed explanation is given as follows
The second showing starts at 7:35 p.m. The movie lasts 2 hours 10 minutes so it ends 9:45 p.m. So the second sowing be over by 9:45 p.m
Step-by-step explanation:
Part A
The given parameters are;
The time the first showing starts, t₁ = 4:35 p.m.
The time the first showing starts, t₂ = 7:15 p.m.
The time interval between shows, [tex]t_{interval}[/tex] = 1/2 hours = 30 minutes
Let 'x' represent the video in minutes, we have;
x = 7:15 - 4:35 - 30 = 2 hours 40 minutes - 30 minutes = 2 hours 10 minutes
The length of the video = 2 hours 10 minutes
Part B;
Using the number line, we have;
1) Plotting the points for the starting and points for the two showing points which are 4:35 pm. and 7:15 p.m.
2) Plot the point 30 minutes before the start of the second movie which is 6:45 p.m and find the time difference between the start of the first showing and the point 6:45 p.m. which gives the length of the movie which is 2 hours and 10 minutes
3) Given that the second showing starts 20 minutes late, the second showing will start at 7:15 p.m. + 20 min = 7:35 p.m.
4) The second showing ends at 7:35 p.m. + 2 hours 10 minutes = 9:45 p.m.
Therefore, the second showing will be over 9:35 p.m.
Part C
The second showing starts at 7:35 p.m. The movie lasts 2 hours 10 minutes so it ends 9:45 p.m. So the second sowing be over by 9:45 p.m.
cv0627
Dr. Potter provides vaccinations against polio and measles. Each polio vaccination consists of 4 doses and each measles vaccination consists of 2 doses. Last year, Dr. Potter gave a total of 54 vaccinations that consisted of a total of 142 doses.
Answer:
dr. potter provides 54 vaccinations TOTAL (including both measles and polio).
p+m=54
since there are 4 doses of polio and of measles, you have to use a variable to distinguish how many doses were given for measles and polio out of 142 given doses.
4p+2m=142
p+m=54
4p+2m=142
^^system of equation
p+m=54
4p+2m=142
p=54-m
4p+2m=142
(substitute 54-m to the equation)
4(54-m)+2m=142
m=37
(collect like terms, then substitute the value of m into the first equation)
p=54-37
p=17
(m, p)=(37, 17)
Step-by-step explanation:
i hope this helps, sorry for the wait
What is the smallest positive multiple of $13$ that is greater than $500?$
Answer:
Step-by-step explanation:
The smallest possible multiple of 13 dollars greater than 500 dollars would be 507 which is 13*39 (i assume you mean whole numbers when you say positive numbers, if not the other answer would be 13*38.461)
I need the answer ASAP!!
Answer:
I'm pretty sure the answer is J
11 is not equal to z
Answer:
11=z put the slash line in the equal sign
hope this helps
have a good day :)
Step-by-step explanation:
A quadrilateral with vertices at A(4, -4), B(4, -16), C(12, -16), and D(12,-4) has been dilated with a center at the
origin. The image of D, point D', has coordinates (36, -12). What is the scale factor of the dilation? 1/9. 1/3
3
9
Answer:
scale factor = 3
Step-by-step explanation:
since the origin is the centre of dilatation then the scale factor is the ratio of corresponding coordinates, image to original.
given D (12, - 4 ) and D' (36, - 12 ) , then
scale factor = [tex]\frac{36}{12}[/tex] = [tex]\frac{-12}{-4}[/tex] = 3