Would 3.99. million flies or 47,000,000 ants have a greater mass

You always need some time to get up after the alarm has rung. You get up from 10 to 20 minutes later, with any time in that inte

Mama L [17]

Answer:

a) P(x<5)=0.

b) E(X)=15.

c) P(8<x<13)=0.3.

d) P=0.216.

e) P=1.

Step-by-step explanation:

We have the function:

$f(x)=\left \{ {{\frac{1}{10},\, \, \, 10\leq x\leq 20 } \atop {0, \, \, \, \, \, \, otherwise }} \right.$

a) We calculate the probability that you need less than 5 minutes to get up:

$P(x$

Therefore, the probability is P(x<5)=0.

b) It takes us between 10 and 20 minutes to get up. The expected value is to get up in 15 minutes.

E(X)=15.

c) We calculate the probability that you will need between 8 and 13 minutes:

$P(8\leq x\leq 13)=P(10\leqx\leq 13)\\\\P(8\leq x\leq 13)=\int_{10}^{13} f(x)\, dx\\\\P(8\leq x\leq 13)=\int_{10}^{13} \frac{1}{10} \, dx\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot [x]_{10}^{13}\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot (13-10)\\\\P(8\leq x\leq 13)=\frac{3}{10}\\\\P(8\leq x\leq 13)=0.3$

Therefore, the probability is P(8<x<13)=0.3.

d) We calculate the probability that you will be late to each of the 9:30am classes next week:

$P(x>14)=\int_{14}^{20} f(x)\, dx\\\\P(x>14)=\int_{14}^{20} \frac{1}{10} \, dx\\\\P(x>14)=\frac{1}{10} [x]_{14}^{20}\\\\P(x>14)=\frac{6}{10}\\\\P(x>14)=0.6$

You have 9:30am classes three times a week. So, we get:

$P=0.6^3=0.216$

Therefore, the probability is P=0.216.

e) We calculate the probability that you are late to at least one 9am class next week:

$P(x>9.5)=\int_{10}^{20} f(x)\, dx\\\\P(x>9.5)=\int_{10}^{20} \frac{1}{10} \, dx\\\\P(x>9.5)=\frac{1}{10} [x]_{10}^{20}\\\\P(x>9.5)=1$

Therefore, the probability is P=1.

3 0

3 years ago

Last week, the price of cherries at the corner deli was $4.99 per pound. This week, cherries at the same deli are on sale at a 1

ANEK [815]

Answer:

Your answer should be 15.905625, if it's not 15 percent off per pound.

Step-by-step explanation:

Multiply 4.99 x 3.75 then multiply that answer (18.7125) by .15

That will leave you with 2.806875, which then you subtract that from 18.7125

That will give you your answer, 15.90...

4 0

3 years ago

Evaluate -(2^-6)(2^3) apex A.-1 over 8 B. -8 C.1 over 8 D.8

Andrews [41]

Answer:

option c is the correct answer.

5 0

3 years ago

I need help please?!!!

Lubov Fominskaja [6]

Y-axis, because what i’ve been taught with coordinates, is you crawl before you walk which means is first it’s x-axis then y-axis. so (0,4) would be on the y-axis. :)

3 0

3 years ago

Read 2 more answers

Given l ∥ m ∥ n l∥m∥n, find the value of x.

lawyer [7]

Answer:

180-63= 117

Step-by-step explanation:

the lines are parallel so the opposite of x is 63. it is a straight line so it adds up to 180

4 0

2 years ago