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A roll of quarters is shaped like a cylinder and contains 40 each quarter has a thickness of 1.75 and a diameter of 24.26 mm Wha

jarptica [38.1K]

Answer:

D) 32,357mm^3

Step-by-step explanation:

Given

$Quarters = 40$

$Thickness = 1.75mm$

$diameter = 24.26mm$

First, we calculate the volume of 1 roll.

The volume of the cylinder is:

$V = \pi r^2h$

Where

$r = \frac{1}{2} * diameter$

$r = \frac{1}{2} * 24.26mm$

$r = 12.13mm$

And the thickness represents the height.

So:

The volume is:

$V = 3.142 * 12.13^2 * 1.75$

$V = 809.03mm^3$

The volume of the 40 is:

$Roll= 40 * 809.03mm^3$

$Roll=32361.20mm^3$

The closest option is (d):

7 0

3 years ago

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted t

LekaFEV [45]

Answer:

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Step-by-step explanation:

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:

At the null hypothesis, we test if the mean is the same, that is:

$H_0: \mu = 59.5$

At the alternate hypothesis, we test that it is different, that is:

$H_a: \mu \neq 59.5$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

59.5 is tested at the null hypothesis:

This means that $\mu = 59.5$

After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.

This means that $n = 250, X = 59.2, \sigma = 1.9$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}$

$z = -2.5$

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.

Looking at the z-table, Z = -2.5 has a pvalue of 0.0062

2*0.0062 = 0.0124

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

5 0

3 years ago

There was a Rockets game on Friday and Saturday.

katrin [286]

18,055
-
3,138
———-
14,927

14,927
+
18,055
———-
32,982

6 0

2 years ago

Read 2 more answers

I asked before and didn’t get an answer I really don’t understand this thanks.

dmitriy555 [2]

The answer is D, because that is what you should get when you multiply it out.

4x^2 times x^2 = 4x^4 because...

1) multiply the 4 and the one in front of the x on the second term = 4 then

2) multiply x^2 times x^2 to get x^4, not x^3, so you can immediately eliminate A and B to save time.

Now let's deal with the second part..."may or may not be" part

A polynomial is an expression with more than two algebraic terms

terms are like...
2x + 3y ---there's two terms there, eventhough the 2 and x are multiplied, it doesn't count (same with the 3 and y)
since it only have two terms, not more than two terms, it is called a binomial, not polynomial. I think that's what they mean by that

one term with a variable (y,x,and so on) is called a monomial

one term with no var is called a constant

there's many more but hope this gave you some help

3 0

3 years ago

Read 2 more answers

Math hw write an expression step by step

FrozenT [24]

Look it up on google man

8 0

2 years ago