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2 years ago

Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the

1 answer:

7 0

The diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.

<h3>What is of volume of cylinder?</h3>

Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of the cylinder can be given as,

$V=\pi r^2h$

Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.

Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the diameter of the barrel was.

She needs to know the diameter so that she can build a platform for it to sit on.

The seller told her the volume of the barrel is 6,925pi cubic in and its height is 38 in.

$V=\pi r^2h\\6925=\pi r^2(38)\\\dfrac{6925}{38\pi}= r^2\\r=\sqrt{\dfrac{6925}{38\pi}}\\r\approx7.62 \rm\; in$

The diameter of the cylinder is twice the radius of it. Thus, the diameter of the cylinder is,

$d=7.62\times2\\d=15.23\rm\\d\approx15\rm\; in$

Thus, the diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.

Learn more about the volume of cylinder here;

brainly.com/question/12748872

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Vlad the Impaler promotes many of his soldiers into generals (don't ask what happened to the past generals). Haley thinks the pr

marin [14]

Using the formula for the margin of error, it is found that Haley should sample 12,724 soldiers.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

Estimate of the proportion of 64%, hence $\pi = 0.64$ .

94% confidence level

So $\alpha = 0.94$ , z is the value of Z that has a p-value of $\frac{1+0.94}{2} = 0.97$ , so $z = 1.88$ .

Margin of error of <u>less than 0.008</u> is wanted, hence, we have to find n when M = 0.008.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.008 = 1.88\sqrt{\frac{0.64(0.36)}{n}}$

$0.008\sqrt{n} = 1.88\sqrt{0.64(0.36)}$

$\sqrt{n} = \frac{1.88\sqrt{0.64(0.36)}}{0.008}$

$(\sqrt{n})^2 = (\frac{1.88\sqrt{0.64(0.36)}}{0.008})^2$

$n = 12723.84$

Rounding up, Haley should sample 12,724 soldiers.

A similar problem is given at brainly.com/question/25404151

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3 years ago

What is the cross section created when a slice is made perpendicular to the 2 bases of a cylinder?

scZoUnD [109]

<span>The answer would be C. A cross section is defined is the intersection of a plane in a three-dimensional space. Therefore, cutting a cross section perpendicular to a cylinder would result to a rectangle where the height is equal to the height of the cylinder and its width is same as the diameter of the cylinder base.</span>

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3 years ago

Solve the system of equations.<br> 2x + 7y = 3<br> x= -4y

I am Lyosha [343]

Answer:

(12, -3)

Step-by-step explanation:

You can solve it algebraically or graphically. Graphically you find the intersection point. Algebraically with substitution/elimination.