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The graph represents a distribution of data. What is the mean of the data?

Gnom [1K]

With this type of graph with is called a Symetric Distribution graph, the mean iin the middle of the graph. the answer to your question is 50 is your mean. (and 50 is also your median)

3 0

3 years ago

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You are running a concession stand selling hot dogs and sodas. Each hot dog costs $2 and each soda costs $1. At the end of the n

amm1812

Answer:

see the explanation

The number of hot dogs that were sold is 15 and the the number of sodas that were sold is 75

Step-by-step explanation:

Let

x ---> the number of hot dogs that were sold

y ---> is the number of sodas that were sold

we know that

You sold a total of 90 hot dogs and sodas combined

so

$x+y=90$ ----> equation A

You made a total of $105

so

$2x+y=105$

isolate the variable y

$y=105-2x$ ----> equation B

substitute equation B in equation A

$x+(105-2x)=90$

solve for x

$x=105-90\\x=15$

Find the value of y (equation B)

$y=105-2(15)=75$

therefore

The number of hot dogs that were sold is 15 and the the number of sodas that were sold is 75

4 0

3 years ago

A fourth grade class of 28 students is given a standardized math test. The mean score of the 12 boys is 25 with a standard devia

Mashcka [7]

Answer:

The standard error for the sampling distribution is 1.323.

Step-by-step explanation:

Let X = scores of girls and Y = scores of boys.

The information provided is:

$\bar x=24\\s_{x}=4\\n_{x}=16\\\bar y=25\\s_{y}=3\\n_{y}=12$

As the population standard deviations are not known, use a pooled standard deviation to estimate the standard error of the sampling distribution.

The formula of pooled standard deviation is:

$S_{p}=\sqrt{\frac{s_{x}^{2}}{n_{x}^{2}}+\frac{s_{y}^{2}}{n_{y}^{2}}}$

Compute the standard error for the sampling distribution as follows:

$SE=\sqrt{\frac{s_{x}^{2}}{n_{x}^{2}}+\frac{s_{y}^{2}}{n_{y}^{2}}}=\sqrt{\frac{4^{2}}{16}+\frac{3^{2}}{12}}=\sqrt{1+\frac{9}{12}}=\sqrt{\frac{21}{12}}=1.323$

Thus, the standard error for the sampling distribution is 1.323.

7 0

3 years ago

A rectangle has a width of 7.9ft and a perimeter of 27.2 Ft enter the length of the rectangle, in decimal form in the box

vodomira [7]

5.7 is the answer because if one side is 7.9 the parallel is the same a rectangle. The is you add those, you get 15.8. The equation now is 15.8+x=27.2. 27.2-15.8 is 11.4 which is then divided to find the two sides which makes them 5.7.

7 0

4 years ago

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Suppose theta= 11pi/12. How do you use the sum identity to find the exact value of sin theta?

SIZIF [17.4K]

The better way is, first we have to find the equivalent in degrees

$2\pi=360\º$

$\frac{11\pi}{12}=345\º$

now we can change this value to $-15\º$

how do we get an angle like this?!

$30\º-45\º=-15\º$

then

$sin(30\º-45\º)=sin(30\º)*cos(45\º)-sin(45\º)*cos(30\º)$

$\begin{Bmatrix}sin(30\º)&=&\frac{1}{2}\\\\sin(45\º)&=&cos(45\º)&=&\frac{\sqrt{2}}{2}}\end{matrix}\\\\cos(30\º)&=&\frac{\sqrt{3}}{2}\end{matrix}$

now we replace this values

$sin(-15\º)=\frac{1}{2}*\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}*\frac{\sqrt{3}}{2}$

$sin(-15\º)=\frac{\sqrt{2}}{4}-\frac{\sqrt{6}}{4}$

$\boxed{\boxed{sin(-15\º)=sin(345\º)=\frac{\sqrt{2}-\sqrt{6}}{4}}}$

4 0

3 years ago