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2 years ago

Find the volume of the figure.

Mathematics

1 answer:

Lisa [10]2 years ago

5 0

Answer:

The volume of the figure is 51.66 in3

Step-by-step explanation:

sol;

volume of prism=area of trangular base * length of prism

=1/2*b*p*7.2

=1/2*4.1*3.5*7.2

=51.66 in3

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Which function would be produced by a horizontal stretch of the graph of y = sqrt(x) followed by a reflection in the x - axis ?

vichka [17]

Answer:it’s either the first or second one

Step-by-step explanation:

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3 years ago

1) Ten samples of a process measuring the number of returns per 100 receipts were taken for a local retail store.

densk [106]

Answer:

E) .0863

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

For this case we can find the sample proportion for each observation with the following formula:

$\hat p = \frac{X}{n}$

Where X represent the number of returns and n =100 for each case since the standard value used. Using the last formula we got:

$p_1 = \frac{10}{100}=0.1$

$p_2 = \frac{9}{100}=0.09$

$p_3 = \frac{11}{100}=0.11$

$p_4 = \frac{7}{100}=0.07$

$p_5 = \frac{3}{100}=0.03$

$p_6 = \frac{12}{100}=0.12$

$p_7 = \frac{8}{100}=0.08$

$p_8 = \frac{4}{100}=0.04$

$p_9 = \frac{6}{100}=0.06$

$p_{10} = \frac{11}{100}=0.11$

And now witht those values we can find the sample mean of proportions with the following formula:

$hat p = \frac{\sum_{i=1}^n p_i}{n}= \frac{0.1+0.09+0.11+0.07+0.03+0.12+0.08+0.04+0.06+0.11}{10}=0.081$

And we can find the standard error with the following formula:

$SE= \sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.081(1-0.081)}{10}}=0.0863$

So then the best option on this case is given by:

E) .0863

6 0

3 years ago

2.1x10 to the -3 power x 2x10 to the second power

ad-work [718]

Answer:

$4.2*10^{-1}$

Step-by-step explanation:

We want to simplify:

$2.1*10^{-3}\times 2*10^2$

We rewrite to get:

$2.1*2*10^2*10^{-3}\times10^2$

We now apply the laws of indices

$4.2*10^{-3+2}$

We simplify to get $4.2*10^{-1}$

We leave our final answer is scientific form.

The final answer is therefore:

$4.2*10^{-1}$

5 0

3 years ago

Graph 18x-6y=-30 indentify the slope and y intercept

CaHeK987 [17]

Answer:

y=3x+5

Step-by-step explanation:

start by putting 18x on the other side of the equation

- to do this you have to subtract, so it will be -18x now

2. now you have -6y=-18x-30

3. now you need to divide -6 by -18 and -30 on the other side to get y by itself

4. this will leave you with y=3x+5 because 6 divided by 18 is three and 30 divided by 6 is five.

I hope this helps!!

5 0

3 years ago

two rectangles are similar. if the height of the first rectangle is 3 inches, and the height of the second rectangle is 9 inches

Nesterboy [21]

3 times larger good luck :)

8 0

3 years ago