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3 years ago

What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters

Mathematics

1 answer:

sammy [17]3 years ago

8 0

Answer:

the height of the prism =3cm

Step-by-step explanation:

From the question :there is 30 square centimeters, we can deduce this is the area due to the unit

the volume is 90 cubic centimeters

Volume of prism = Area of base × height

We are to determine the height

90cm³ = 30cm² × height

divide both sides by 30cm²

height = 90cm³/30cm²

height = 3cm

Therefore the height of the prism is 3centimeters

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Suppose that only 65% of all drivers in a certain state wear a seat belt. a random sample of 80 drivers is selected. what is the

jonny [76]

Answer:

Pr(X >42) = Pr( Z > -2.344)

= Pr( Z< 2.344) = 0.9905

Step-by-step explanation:

The scenario presented can be modeled by a binomial model;

The probability of success is, p = 0.65

There are n = 80 independent trials

Let X denote the number of drivers that wear a seat belt, then we are to find the probability that X is greater than 42;

Pr(X > 42)

In this case we can use the normal approximation to the binomial model;

mu = n*p = 80(0.65) = 52

sigma^2 = n*p*(1-p) = 18.2

Pr(X >42) = Pr( Z > -2.344)

= Pr( Z< 2.344) = 0.9905

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3 years ago

Emilio has to run 7 1/2 miles a week to train for the football team. If he runs 1 1/2 miles everyday , how many days will it tak

PilotLPTM [1.2K]

Answer:

5 days

Step-by-step explanation:

1/2 + 1/2 = 3 (2 days) times by 2 makes it 4 days and finally 5th day 7 1/2

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3 years ago

Read 2 more answers

If 29% of the students wore jeans what percent of he students did not wear jeans?

igor_vitrenko [27]

So you just take 100% - 29% = 71%

So 71% of the students did not wear jeans

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3 years ago

In a simple regression analysis for a given data set, if the null hypothesis β = 0 is rejected, then the null hypothesis ρ = 0 i

kati45 [8]

Answer:

Null hypothesis: $\rho =0$

Alternative hypothesis: $\rho \neq 0$

The statistic to check the hypothesis is given by:

$t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}$

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

$t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}$

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

Step-by-step explanation:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: $\rho =0$

Alternative hypothesis: $\rho \neq 0$

The statistic to check the hypothesis is given by:

$t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}$

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

$t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}$

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

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3 years ago

A circular swimming pool is installed in a rectangular shaped backyard. An underwater light is placed as its center, 16 feet fro

Daniel [21]

What is the question?

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4 years ago