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3 years ago

What is 9 to the -2 power

Mathematics

1 answer:

Rina8888 [55]3 years ago

4 0

9 to the 2 power is 81, so 9 to the -2 power is 1/81.

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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

A. (0,-1); maximum <br> B. (-1,0); minimum <br> C. (-1,0); maximum <br> D. (0,-1); minimum

Zolol [24]

Hey! This is a maximum because that's where it peaks. It doesn't go any higher from there so the coordinates are (0,-1) or A.

5 0

4 years ago

X+3=5 . Find x in the given equation

Oduvanchick [21]

Answer:

Step-by-step explanation:

x + 3 = 5

x = 5 - 3

x = 2

Therefore, x=2 in the given equation

4 0

3 years ago

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I need help with solving isosceles and equilateral triangles

Scilla [17]

Answer:

60º

Step-by-step explanation:

The interior angles of a triangle equals 180º. And 60+60+60=180, that is your answer.

3 0

3 years ago

Is 2/3 bigger than 3/5

alina1380 [7]

2/3 is greater than 3/5 because if you cross multiply, you'll get 10 on left side and 9 on the right, which means 3/5 is less than 2/3.

8 0

4 years ago

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