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3 years ago

Can someone please help with this question?

1 answer:

5 0

Ok so basically, Beth is traveling at 8MPH. And her bro leaves 1/4 of an hour later, this means she has cycled 8/4 = 2 miles. After another 15 minutes, Beth will have cycling 4 miles, while Brandon will have carted 12/4 = 3 miles. Repeat this, and Beth has cycled 6 miles in 45 minutes, and Brandon has also gone 6 miles in 30 minutes.

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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

2 years ago

The radius of a tire is 1.2 feet. How far will you travel after ten complete rotations of the tire?

Montano1993 [528]

Well you have to start of by finding the circumference of the tire, which you can do with the equation 2πr. If the radius is 1.2 feet, you just plug this into the equation to get 2.4π, which we will round to 7.5. After 10 rotations, you should've traveled approximately 75 feet

7 0

2 years ago

Read 2 more answers

Please answer this correctly without making mistakes

IrinaVladis [17]

Answer:

44 5/6 "the second one"

5 0

3 years ago

Select the THREE equations that this diagram could represent.

Vladimir [108]

Question

Select the three equations that this diagram could represent.

Answer

Well, we first have to find out what the diagram says.

So what the diagram says is that 18 + 18 + 18 = 54.

Given this information, we have to figure what other answers = 54.

Therefore the answers are

(A) 18 * 3 = 54.

(D) 54/18 = 3

(E) 54/3 =18

6 0

2 years ago

A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of

Bezzdna [24]

The answer to that wil be A 24 sqaure inches

8 0

3 years ago