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3 years ago

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A right circular cone has a volume of 25π ft.. If the radius of the cone is doubled but the height remains fixed, what is the vo

lume of the resulting larger cone?
A. 400π ft.
B. 100π ft.
C. 75π ft.
D. 50π ft.

1 answer:

Nat2105 [25]3 years ago

8 0

Answer:

B. 100

Step-by-step explanation:

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The second of two numbers is 3 less than twice the first. Their sum is 36. Find the numbers.

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<span>The first number = x
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Uestion 2 (1 point)

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Answer:

-The probability of choosing a meat dish is equal to the probability of choosing a pasta dish or a soup( $P(meat)\neq P(pasta)+P(soup)$ )

Step-by-step explanation:

Given that the number of events is 25 and 13 are meat dishes, 8 are pasta dishes, and 4 are soups.

-Probability is defined as the number of successful event divide by the total number of events.

#find probability of each event:

$P(meat)=\frac{13}{25}=0.52\\\\P(pasta)=\frac{8}{25}=0.32\\\\P(soup)=\frac{4}{25}=0.16$

$P(meat)\neq P(pasta)\neq P(soup)$

Hence, the FALSE choice is:The probability of choosing a meat dish is equal to the probability of choosing a pasta dish or a soup.

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A class survey in a large class for first-year college students asked, “About how many minutes do you study on a typical weeknig

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Answer: (110.22, 125.78)

Step-by-step explanation:

The confidence interval for the population mean is given by :-

$\mu\ \pm z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size = 463

$\mu=118\text{ minutes}$

$\sigma=65\text{ minutes}$

Significance level : $\alpha=1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=\pm2.576$

We assume that the population is normally distributed.

Now, the 90% confidence interval for the population mean will be :-

$118\ \pm\ 2.576\times\dfrac{65}{\sqrt{463}} \\\\\approx118\pm7.78=(118-7.78\ ,\ 118+7.78)=(110.22,\ 125.78)$

Hence, 99% confidence interval for the mean study time of all first-year students = (110.22, 125.78)

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3 years ago