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3 years ago

7

ou own a car wash with three of your friends. Your total profit in the first month was $438. In two months, each of you had made

a profit of $184. You always divide the profits equally. How much profit did the car wash make in the second month?

1 answer:

velikii [3]3 years ago

4 0

Well all together $876.00 but if your talking about split it three ways it would be $292.00

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A sample of 16 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is n

Olegator [25]

Answer:

i) $2 - 1.64 \frac{0.1}{\sqrt{16}}= 1.959$

$2 + 1.64 \frac{0.1}{\sqrt{16}}= 2.041$

So then the 90% confidence interval is given by (1.959, 2.041)

ii) Figure attached

iii) $ME= 1.64 *\frac{0.1}{\sqrt{16}}= 0.041$

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 confidence interval is given by this formula:

$\bar X \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}}$ (1)

And for a 90% of confidence the significance is given by $\alpha=1-0.9=0.1$ , and $\frac{\alpha}{2}=0.05$ . Since we know the population standard deviation we can calculate the critical value $z_{0.05}= \pm 1.64$

We know the folllowing data:

$\bar X = 2$ represent the sample mean

$\sigma = 0.1$ represent the population deviation

n =16 represent the sample size

Part i)

If we replace the values given into formula (1) we got:

$2 - 1.64 \frac{0.1}{\sqrt{16}}= 1.959$

$2 + 1.64 \frac{0.1}{\sqrt{16}}= 2.041$

So then the 90% confidence interval is given by (1.959, 2.041)

Part ii)

Figure attached. We have the illustration for the confidence interval obtained.

Part iii)

The margin of error is given by:

$ME=z_{\alpha/2} \frac{\sigma}{\sqrt{n}}}$

And if we replace we got:

$ME= 1.64 *\frac{0.1}{\sqrt{16}}= 0.041$

3 0

3 years ago

A mysterious orb is in the shape of a sphere with radius 9.5 inches. Find the volume and surface

Andru [333]

A 9.5-inch-diameter spherical in the shape of a strange orb is present. 3591.36 m3 of volume and surface

<h3>Explain about the Radius?</h3>

The radius of a circle is the separation between any two points on its circumference. R or r is typically used to indicate it.

The diameter of a circle cuts through the centre whereas the radius extends from the centre to the edges of the circle. The diameter of a circle effectively divides the shape in two.

A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.

The radius of a circle is the distance from the center to any point on the edge. The radius is equal to the diameter in half, or 2r=d2 r=d.

V=4 \3πr³

= 4/3 π 9.5³

=3591.36

To learn more about Radius refer to:

brainly.com/question/390660

#SPJ1

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1 year ago

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irakobra [83]

30000 is the answer I think

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Debora [2.8K]

3.71 is the answer:)
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3 years ago