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4 years ago

The volume of a sphere is found using the formula . If the volume of a sphere is 36 , what is the radius, in feet?

1 answer:

4 0

$V=\frac{4}{3}.\pi.r^3\\
\\
\frac{4}{3} \pi.r^3=36\\
\\
4 \pi r^3=108\\
\\
r^3=\frac{108}{4 \pi}=\frac{27}{\pi}\\
\\
r =\sqrt[3]{\frac{27}{\pi}}= \frac{3}{1,46} \approx 2,05 \ ft$

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The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customer

Katena32 [7]

Answer:

Margin of error = 0.196

Step-by-step explanation:

We are given that the manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3 minutes. It is known that the standard deviation of the population of checkout times is 1 minute.

That means; Sample size, n = 100

Population standard deviation = 1 minute

Sample mean = 3 minutes

Now, the Margin of error means how much deviation is there from the sample mean to calculate the confidence interval for true population mean.

Margin of error formula is given by = $Z_\frac{\alpha}{2} \times \frac{\sigma}{\sqrt{n} }$

where, $\sigma$ = population standard deviation

n = sample size of customers

$\alpha$ = significance level = 5%

Now, the z probability area at 5% significance level is given to be 1.96 from z table.

So, Margin of error = $1.96 \times \frac{1}{\sqrt{100} }$ = $\frac{1.96}{10}$ = 0.196 .

Therefore, with a .95 probability, the sample mean will provide a margin of error of 0.196 .

7 0

3 years ago

For whole numbers between 1 and 1001, inclusive, let m be the sum of odd numbers and n be the sum of even numbers. What is the v

Svetradugi [14.3K]

Answer:

m - n = 501

Step-by-step explanation:

Remark

The first thing you have to do is find the number of odd and even numbers. This is where you have to be careful because there is a danger of being out by one.

equation

l = a + (n - 1)*d

Solution even

l = 1000

a = 2

d = 2

1000 = 2 + (n - 1)*2

998/2 = (n - 1) * 2 / 2

499 = n - 1

n = 500

Solution odd

l = 1001

a = 1

d = 2

1001 = 1 + (n - 1)*2

1000 = (n - 1)*2

1000/2 = (n - 1)2/2

500 = n - 1

501 = n

Sum Even of even numbers from 1 to 1001

Givens

a = 2

n = 500

l = 1000

Equation

Sum = (a + l ) * n / 2

Solution

Sum = (2 + 1000)*500/2

Sum = 1002 * 250

Sum = 250500

Sum of Odd numbers from 1 to 1001

a = 1

l = 1001

n = 501

Equation

sum = (a + l)*n/2

sum = (1 + 1001) * 501

sum = (1002)*501 / 2

Sum = 251001

Answer

m - n = 251001 - 250500 = 501

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3 years ago

Which ordered pair is a viable solution if x represents the

oee [108]

Answer:

The only option (0,0) is possible.

Step-by-step explanation:

Here in options four ordered pairs are given and they are (-3,-18), (-0.5,-3), (0,0) and (0.5,3).

Here, the x-values represent the number of books and the y-value represents the total weight of the books, in ounces.

Now, x must be 0 or a positive integer as it is the number of books.

Hence, the only option (0,0) is possible which means that the weight of zero books is zero. (Answer)

3 0

3 years ago

Help me please this is due by 4:00 p.m today

Irina18 [472]

Answer:

8. 500.8

9. 5008

10. 50080

Step-by-step explanation:

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3 years ago

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grigory [225]

Answer:

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Step-by-step explanation:

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5 0

3 years ago

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