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3 years ago

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A girl standing on a bridge throws a stone vertically downward with an initial velocity of 15.0 m/s into the river below. If the

stone hits the water 4.0 seconds later, what is the height of the bridge above the water?

1 answer:

Arturiano [62]3 years ago

8 0

you do 15.0 x 4.0 and that would give you the answer of 60.

the bridge is 60m above the water.

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~please help, thank you~

solong [7]

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so volume of cylinder=1/3 times height tiimes pi times radius^2
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3 years ago

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Anettt [7]

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3 years ago

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Roman55 [17]

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3 years ago

An instructor who taught two sections of engineering statistics last term, the first with 20 students and the second with 30, de

Lelechka [254]

Answer:

(a) $P(X=10) = 0.2070$

(b) $P(X\geq 10) = 0.3798$

Step-by-step explanation:

Note that in this problem we have an initial population N = 50, of which 30 fulfill a certain characteristic "m" (belong to the second section). Then, from the population N, a sample of size n = 15 is selected and it is desired to know how many comply with the desired characteristic (second section).

So

Let X be the number of projects in the second section, then X is a discrete random variable that can be modeled by a hypergeometric distribution.

(a)

Therefore, to answer question (a) we use the following equation presented in the attached image:

Where:

$N = 50\\m = 30\\n = 15\\X = 10$

Then:

$P (X = 10) = \frac{\frac{30!}{10!(30-10)!}\frac{20!}{5!(20-5)!}}{\frac{50!}{15!(50-15)!}}\\\\\\P(X=10) = 0.2070$

(b)

For part (b) we have:

$P(X\geq10) = 1-P(X$

$P(X\geq 10) = 1-0.6202 \\\\P(X\geq 10) = 0.3798$

4 0

3 years ago

Write 1+√-32/4 as a complex number in the form a + bi, where a and b are real numbers.

bulgar [2K]

<h3>Answer: Choice C</h3>

Work Shown:

$\frac{1+\sqrt{-32}}{4}\\\\\frac{1+\sqrt{-1*16*2}}{4}\\\\\frac{1+\sqrt{-1}*\sqrt{16}*\sqrt{2}}{4}\\\\\frac{1+i*4*\sqrt{2}}{4}\\\\\frac{1+4i*\sqrt{2}}{4}\\\\\frac{1}{4}+\frac{4i*\sqrt{2}}{4}\\\\\boldsymbol{\frac{1}{4}+i\sqrt{2}}\\\\$

This matches with choice C. The imaginary 'i' term is not under the square root.

5 0

2 years ago