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4 years ago

The height in feet of a toy rocket is modeled by the function y = -167 + 128t, where t is the time in seconds after

Mathematics

1 answer:

ValentinkaMS [17]4 years ago

8 0

Answer:

Step-by-step explanation:

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A man and a woman agree to meet at a cafe about noon. If the man arrives at a time uniformly distributed between 11:40 and 12:10

kompoz [17]

Answer:

0.3888

Step-by-step explanation:

To solve the exercise we need a neutral time, so we define at 12:00 as time 0.

If the man arrives in a uniformly distributed time between 11:40 and 12:10, the time is distributed from -20 to 10.

If the woman arrives in a time evenly distributed between 11:45 and 12:20, the time is distributed from -15 to 20.

Assuming that each one arrives at 12: X and 12: Y for men and women, then the space of our time is defined as

Man [-20,10]

Woman [-15,20]

So,

$f_x(x)=\frac{1}{10-(-20)}=\frac{1}{30}\\f_y(y)=\frac{1}{20-(-15)}=\frac{1}{35}$

Then,

$f_{xy}(x,y)=f_x(x)f_y(y)=\frac{1}{30} \frac{1}{35} = \frac{1}{1050}$

The probability of finding an arrival less than 5 minutes is

$P(|X-Y|\leq 5) = \int\limit^20_{-15} \int\limit^{x+5}_{x-5} f(x,y)dydx$

$P(|X-Y|\leq 5)= \frac{1}{1050}\int\limit^{20}_{-15} y|^{x+5}_{x-5}dx$

$P(|X-Y|\leq 5)= \frac{35*10}{900}=0.3888$

6 0

3 years ago

Which characteristics best describe an obtuse isosceles triangle? I. One angle is greater than 90°. II. All side lengths are equ

nlexa [21]

An obtuse triangle is a triangle that has an angle greater than 90 degrees, so 1. One angle is greater than 90 degrees is correct.

8 0

3 years ago

Read 2 more answers

Mason opens a savings account by making a $165.85 deposit. Every week, he deposits another $20.50 in the account. The following

yanalaym [24]

<span>165.85 + 20.5x

Hope this helped!</span>

3 0

3 years ago

PLS HELP plsssssssssssssssssssssss

dezoksy [38]

I would say D, remember a negative plus a negative is a positive.

4 0

3 years ago

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A rectangular window is topped with a semicircle the height of the rectangle part is 1 more than 3 times its width W meters whic

devlian [24]

Answer:

A = 3W² + W + 1/8πW²

Step-by-step explanation:

rectangular window is L x W

semicircle is 1/2 πr²

r = 1/2 W

L = 3W + 1

A = W(3W + 1) + 1/2 π(1/2W)²

A = 3W² + W + 1/8πW²

4 0

4 years ago

Read 2 more answers