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zheka24 [161]
3 years ago
5

Which shows the following expression after the negative exponents have been eliminated?

Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

Answer:

its A

Step-by-step explanation:

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A spherical tank has a capacity of 800 gallons. Using the fact that 1 gallon is about 0.1337 ft3, find the radius of the tank (t
nydimaria [60]

Solution-

Capacity of the spherical tank = 800 gallons.

1 gallon = 0.1337 ft³,

Volume of 800 gallons = 800 × 0.1337 = 106.96 ft³

Formula for the volume of sphere

V =\frac{4\pi r^{3}}{3}

Equating both the volumes

⇒ \frac{4\pi r^{3}}{3} = 106.96

⇒ r^{3} = 25.53

⇒ r = \sqrt[3]{25.53}

⇒ r = 2.94

∴ Radius of the sphere is 2.94 ft


6 0
3 years ago
-2
Elodia [21]

Answer:

It would be the 2nd one

Step-by-step explanation:

4 0
3 years ago
A random survey of 1000 students nationwide showed a mean ACT score of 21.1. Ohio was not used. A survey of 500 randomly selecte
vodka [1.7K]

Answer:

We conclude that the mean Ohio score is below the national average.

Step-by-step explanation:

We are given that a random survey of 1000 students nationwide showed a mean ACT score of 21.1. Ohio was not used.

A survey of 500 randomly selected Ohio scores showed a mean of 20.8. The population standard deviation is 3.

<u><em>Let </em></u>\mu<u><em> = mean Ohio scores.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 21.1      {means that the mean Ohio score is above or equal the national average}

Alternate Hypothesis, H_A : \mu < 21.1      {means that the mean Ohio score is below the national average}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about population standard deviation;

                    T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n}}}  ~ N(0,1)

where, \bar X = sample mean Ohio score = 20.8

            \sigma = population standard deviation = 3

            n = sample of Ohio = 500

So, <u><em>test statistics</em></u>  =  \frac{20.8-21.1}{\frac{3}{\sqrt{500}}}  

                              =  -2.24

The value of z test statistics is -2.24.

<em>Now, at 0.1 significance level the z table gives critical value of -1.2816 for left-tailed test.</em><em> Since our test statistics is less than the critical values of z as -2.24 < 1.2816, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that the mean Ohio score is below the national average.

4 0
3 years ago
James bought the computer which was discounted from $350 to $273. What is the discount rate?
sasho [114]
<h3>Answer:  22%</h3>

Explanation:

amount saved = 350-273 = 77 dollars.

Divide this amount over the original price

77/350 = 0.22 = 22% is the discount rate

8 0
2 years ago
Read 2 more answers
It costs $12.50 to see a movie at a theater near Jason’s house. It costs only $1.95 to rent a DVD from an online service. A DVD
dolphi86 [110]
The answer would be $11.8 then just round that up to the nearest whole number which would be $12. Hope this helped if I’m incorrect I apologize:/but I’m pretty sure that’s right!

5 0
3 years ago
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