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3 years ago

I need the volume of this cone

Mathematics

1 answer:

valkas [14]3 years ago

4 0

Answer:

Step-by-step explanation:

V = $V=\frac{1}{3}Bh\\B=\pi r^{2} \\B=\pi (5^{2})\\10\pi \\V=\frac{1}{3} Bh\\V=\frac{1}{3} x 10\pi x 7\frac{1}{2}\\78$

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Find the volume of the cylinder

goblinko [34]

Answer: 769.3ft³

Step-by-step explanation:

V = $\pi$ r²h

V = (3.14)(7)²(5)

V = 769.3ft³

5 0

3 years ago

A professor finds that the average SAT score among all students attending his college is 1150 ± 150 (μ ± σ). He polls his class

solniwko [45]

Answer:

Step-by-step explanation

Hello!

Be X: SAT scores of students attending college.

The population mean is μ= 1150 and the standard deviation σ= 150

The teacher takes a sample of 25 students of his class, the resulting sample mean is 1200.

If the professor wants to test if the average SAT score is, as reported, 1150, the statistic hypotheses are:

H₀: μ = 1150

H₁: μ ≠ 1150

α: 0.05

$Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } } ~~N(0;1)$

$Z_{H_0}= \frac{1200-1150}{\frac{150}{\sqrt{25} } } = 1.67$

The p-value for this test is 0.0949

Since the p-value is greater than the level of significance, the decision is to reject the null hypothesis. Then using a significance level of 5%, there is enough evidence to reject the null hypothesis, then the average SAT score of the college students is not 1150.

I hope it helps!

7 0

3 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Annika borrowed a book

ZanzabumX [31]

Answer:

Annika was 14 days late with her book.

Step-by-step explanation:

The first four days would cost Annika 1.0 dollar (4x0.25), then we need to divide the rest of the ammount by 0.30 to calculate for how many days she paid the 0.30 dollar fine.

4.00 - 1.00 = 3.00

3.00/0.30 = 10

Therefore, Annika was 4 +10 = 14 days late with her book.

6 0

3 years ago

The prime factorization of 396 is _____ .

Elena L [17]

Answer:

396 : 2 * 2 * 3 * 3 * 11

Step-by-step explanation:

using long division of prime factors, you will end up with the following:

396 : 2 * 2 * 3 * 3 * 11

4 0

3 years ago

Find the reference angle for 404 degrees

Hitman42 [59]

It would have to be 44°. If you go around 360° nothing happens. So subtract 404°-360° and you get 44°. 44°<90° from the x-axis so we are done.

3 0

4 years ago