Ask question

Ask question

All categories

s344n2d4d5 [400]

3 years ago

10

Joseph walks his dog 4 times a day to make sure he gets enough exercise. If he walks his dog 2/3 of a mile each time he walks hi

m, how far will Joseph have walked his dog by the end of a 7 day week? Explain how you know.

1 answer:

charle [14.2K]3 years ago

7 0

Answer:

18 2/3 miles. 4 x 2/3 =8/3 x 7 = 56/3 ÷3 = 18 2/3 miles.

You might be interested in

An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do

vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

$P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107$

Then,

$P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007$

c) In this case, the distribution is B(1200,0.01)

$P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924$

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

$P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366$

5 0

3 years ago

7oz is equal to how many lbs round it to the nearest tenth

Juli2301 [7.4K]

There are 16 ounces in one pound. So we do 7 divided by 16 to get our answer.

7 / 16 = 0.4375 ≈ 0.4 lbs

7 oz is approximately 0.4 lbs.

7 0

3 years ago

Lisa want to ask her mom if he can buy ticket to the carnival with her friend if he saved 45.67 and each ticket cot 5.50 how man

olasank [31]

$8.00 if you round it up

4 0

3 years ago

Read 2 more answers

What is the surface area?<br>square Varas

UNO [17]

Answer:

1083 square feet

Explanation:

6 0

3 years ago

Your friend says that the solutions to the inequality 5x - 14x < - 18 are x ≤2. Solve the inequality correctly. What error di

katrin2010 [14]

<h3>Answer: x > 2</h3>

Work Shown:

5x - 14x < - 18

-9x < - 18

x > -18/(-9)

x > 2

The inequality sign flips when dividing both sides by a negative number.

Here's another approach you could take.

5x - 14x < - 18

-9x < -18

0 < -18+9x

18 < 9x

9x > 18

x > 18/9

x > 2

It's a slightly longer pathway, but it avoids a sign flip when you divide both sides by the positive number 9.

The sign flip happens two steps earlier when going from 18 < 9x to 9x > 18. In other words, A < B is the same as B > A.

6 0

2 years ago