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3 years ago

Pleaseee someone resolve this quick!!!!!!

Mathematics

1 answer:

liubo4ka [24]3 years ago

4 0

What in the math- I’m in college and I’ve never seen this girl this is Albert Einstein level- sorry I couldn’t help but holy Jesus at that point just don’t do it

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1.) A sphere with a radius of 3 cm has the same volume as a cone with a radius of 6 cm. What is the height of the cone? A.) 2cm

OLEGan [10]

Part A)
we know that
[volume sphere]=(4/3)*pi*r³------> (4/3)*pi*3³--------> 113.04 cm³
[volume cone]=113.04=pi*r²*h/3------> h=[V*3]/[pi*r²]
r=6 cm
h=[V*3]/[pi*r²]---------> [113.04*3]/[pi*6²]---------> 3
h=3 cm

the answer part A) is h=3 cm

Part B)
[volume cylinder]=pi*r² *h---------> pi*1²*21------> 65.94 cm³
[volume cone]=65.94 cm³=pi*r²*h/3
h=7 cm
r=√[(V*3)/(pi*h)]---------> √[(65.94*3)/(pi*7)]---------> 3 cm

the answer Part B) is r=3 cm

4 0

3 years ago

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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 the customers in t

andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: $H_{0} = 3$

Alternate: $H_{a} = 3$

The test-statistic is given by:

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

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.

Sample of 100 customers.

This means that $n = 100$

3 tested at the null hypothesis

This means that $\mu = 3$

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that $X = 3.1$

The population standard deviation is known at 0.5 minutes.

This means that $\sigma = 0.5$

Value of the test-statistic:

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

$z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}$

$z = 2$

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

7 0

3 years ago

On the day a person is born, a deposit of $10,000 is made in a trust fund that pays 5% interest, compound quarterly. Find the ba

Phantasy [73]

Given:

Amount deposited on birth = $10,000.

Interest rate = 5% compound quarterly.

To find:

The balance on the person's 18th birthday.

Solution:

The formula for amount is

$A=P\left(1+\dfrac{r}{n}\right)^{nt}$

where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.

Substitute P=10000, r=0.05, n=4, t=18 in the above formula.

$A=10000\left(1+\dfrac{0.05}{4}\right)^{4(18)}$

$A=10000\left(1+0.0125\right)^{72}$

$A=10000\left(1.0125\right)^{72}$

$A=24459.2026814$

$A\approx 24459.20$

Therefore, the balance on the person's 18th birthday is $24459.20.

3 0

3 years ago

What is equivalent to 2/5

LuckyWell [14K]

There are many answers. I’ll give you three examples...

4/10
6/15
8/20

There is a pattern too, just a trick!

7 0

3 years ago

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Why do we randomly select our samples?

Vadim26 [7]

Answer:

The purpose is to increase the generalizability of the results. By drawing a random sample from a larger population the goal is that the sample will be representative of the larger group and less likely to be subject to bias

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers