The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probability that a randomly selected commuter spends for the following cases.
1. More than 31 minutes commuting one way.
2. Less than 8 minutes commuting one way.

Answers

Answer 1

Answer:

1. 0.1635

2. 0.0026

Step-by-step explanation:

The computation of the probability in the following cases are as follows:

1.

Given that

Mean = 25 minutes

ANd, the standard deviation is 6.1 minutes

So here the z score would be

= (31 - 25) ÷(6.1)

= 0.98

Now the probability is

= P(Z>0.98)

= 0.1635

2. the z score would be

= (8 - 25) ÷(6.1)

= -2.79

Now the probability is

= P(Z<-2.79)

= 0.0026


Related Questions

Help me please I’m not smart -

Answers

don’t use any links, there scams!

add;200g+0.04kg=-----------dag

Answers

It's 200.04 dag

blah blah

Answer:

0.240kg

Step-by-step explanation:

the reason for this is because my teacher taught me this:

KHDMDCM

       L

       G

so you would go grams to kilograms and then you would find your answer because 200. +0.04 was the original equation correct so you would move the decimal in 200. back 3 times were you converted it to kilograms and the you would add so what your new equation is 0.200+0.04=0.240kg

Round the nearest hundredth. 53.789

Answers

Answer: 53.79

Step-by-step explanation:

everyday at 9:15 a.m. Jesse takes his dog for a walk for 30 minutes. he then takes the next 2 hours to work on his computer before he eats lunch. what time does he eat lunch?​

Answers

Answer:

Jesse eats lunch at 11:45 a.m.

Explain:In (4a)^3


•c

Answers

Answer:

Step-by-step explanation:

(4a)^3

4^3 a^3

=12a

can you guys help me on this please

Answers

[tex]9^{2}+a^{2}=15^{2} \\144=a^{2}\\a=12[/tex]

The answer is 144=a

Reuben will rent a car for the weekend. he can choose one of two plans. the first has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $65 and costs an additional $0.70 per mile driven. How many miles would Reuben need to drive for the two plans to cost the same? ​

Answers

Answer:

80 miles for the .9 one.

Step-by-step explanation:

Problem of the week, provide step-by-step please!

Answers

Answer:

Step-by-step explanation:

The smallest perfect square that has three different prime numbers as factor is 900

900 = 30 * 30

Factors = 2² * 3² * 5² = 900

HELP PLEASE ! 15 POINTS NO SCAM LINKS OR REPORTED.

Answers

Answer:

I think it is either C or D

Step-by-step explanation:

I'm so sorry id didn't find the answer, i tried

Harry wants to ride his bicycle the same of miles every day. His goal is to ride 46 miles. If he rides 4 miles each morning and 3 miles each night,how many days will it take him to reach 46 miles

Answers

7 days king is the the answer

HELP ME PLEASE
15 points and brainliest if right

Answers

Step-by-step explanation:

area of a rectangle bh

4x7=28

7x9=63

9x4=36

the only rectangle that has an area equal to 28 is the 4x7 which is the front face and back face.

Hope that helps :)

the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence

Answers

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

[tex]a_{n} = a_0 + (n-1)d[/tex]

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

[tex]S_{n} = \frac{n(a_1+a_n)}{2}[/tex]

ai = ai-1 + 6

This means that [tex]d = 6[/tex]

In this question:

Sum of the first 800 terms, so [tex]n = 800[/tex]

First term is -53, so [tex]a_1 = -53[/tex]

The 880th term is:

[tex]a_{880} = -53 + (880-1)*6 = 5221[/tex]

Sum

[tex]S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920[/tex]

The sum of the first 880 terms in the sequence is 2,273,920.

WILL GIVE BRAINLIEST IF SOLVED IN 10 MINS : Solve each equation with the quadratic :

Answers

Answer:

5. x = -1 or x = -3

6. b = -2 or b = 6

7. n = 5 or n = 4

Step-by-step explanation:

5. x² + 4x + 3 = 0

Factorize

x² + 3x + x + 3 = 0

x(x + 3) +1(x + 3) = 0

(x + 1)(x + 3) = 0

Set each of the factors equal to zero and solve for x

x + 1 = 0 or x + 3 = 0

x = -1 or x = -3

6. b² - 4b - 14 = -2

Put all terms on one side of the equation leaving zero on one side

b² - 4b - 14 + 2 = 0

b² - 4b - 12 = 0

Factorize

b² - 6b + 2b - 12 = 0

b(b - 6) +2(b - 6) = 0

(b + 2)(b - 6) = 0

Set each of the factors equal to zero and solve for b

b + 2 = 0 or b - 6 = 0

b = -2 or b = 6

7. n² = 9n - 20

Put all terms on one side of the equation leaving zero on one side

n² - 9n + 20 = 0

n² - 5n - 4n + 20 = 0

n(n - 5) -4(n - 5) = 0

(n - 5)(n - 4) = 0

Set each of the factors equal to zero and solve for b

n - 5 = 0 or n - 4 = 0

n = 5 or n = 4

In Ms. Chance's first period class, there are 9 students with hazel eyes, 10 with brown eyes, 7 with blue eyes, and 2 students with green eyes. Ms. Chance picks a student at random. Which color eyes is the student most likely to have?

Answers

Answer:

Brown eyes

Step-by-step explanation:

10/28 Fraction form

0.3571 Decimal form

35.71 % Percentage form

10 is the greatest number out of all the other colors

One way of checking the effect of undercoverage, nonresponse, and other sources of error in a sample survey is to compare the sample with known facts about the population. About 12% of American adults identify themselves as black. Suppose we take an SRS of 1500 American adults and let X be the number of blacks in the sample. Use a Normal distribution to estimate the probability that the sample will contain between 165 and 195 blacks.

Answers

Solution :

Given :

p = 12% = 0.12

n = 15..

Mean is defined as the product of a sample size n and the probability p such that :

[tex]$\mu_X = np = 1500 \times 0.12$[/tex]

             = 180

Standard deviation may be defined as the square of a product of the sample size n, the probability p and the probability 1-p :

[tex]$\sigma_X = \sqrt{np(1-p)}$[/tex]

[tex]$\sigma_X = \sqrt{1500 \times 0.12 \times (1-0.12)}$[/tex]

     ≈  12.5857

The z-score is given by :

[tex]$z=\frac {x- \mu}{\sigma } $[/tex]

[tex]$z=\frac {165-180} {12.5857 }$[/tex]

 ≈  -1.19  

[tex]$z=\frac {x- \mu}{\sigma } $[/tex]

[tex]$z=\frac{195-180} {12.5857 }$[/tex]

 ≈  1.19  

Now determining the corresponding probability using table  :

P (165 ≤ X ≤ 195 ) = P (-1.19 ≤ Z ≤ 1.19 )

                            = 1-2 x P(Z < -1.19)

                            = 1-2 x 0.1170

                            = 1-0.2340

                            = 0.7660

                             = 76.60%

"76.06%" would be the probability that the sample will contain between 165 as well as 195 blacks.

Given values,

p = 12%

           = 0.12

n = 1500

The mean will be

→ [tex]\mu x = np[/tex]

By putting the values,

       [tex]= 1500\times 0.12[/tex]

       [tex]= 180[/tex]

The standard deviation will be:

→ [tex]\sigma x = \sqrt{np(1-p)}[/tex]

       [tex]= \sqrt{1500\times 0.12\times (1-0.12)}[/tex]

       [tex]= 12.5857[/tex]

The z-score will be:

→ [tex]z = \frac{x- \mu}{\sigma}[/tex]

     [tex]= \frac{165-180}{12.5857}[/tex]

     [tex]= -1.19[/tex]

and,

→ [tex]z = \frac{195-180}{12.5857}[/tex]

     [tex]= 1.19[/tex]

hence,

The probability will be:

→ [tex]P(165 \leq X \leq 195) = P(-1.19 \leq Z \leq 1.19)[/tex]

                                [tex]= 1-2\times P(Z < -1.19)[/tex]

                                [tex]= 1-2\times 0.1170[/tex]

                                [tex]= 1-0.2340[/tex]

                                [tex]= 0.7660[/tex]

                                [tex]= 76.60[/tex] (%)

Thus the answer above is right.  

Learn more about probability here:

https://brainly.com/question/13796006

r − 38 = 9
please solve the equation

Answers

Answer:

r = 47

Step-by-step explanation:

r - 38 = 9

r- 38 + 38 = 9 + 38

simplify

r = 47

Answer:

[tex]r=47[/tex]

Step-by-step explanation:

[tex]r-38=9[/tex]

Add 38 to both sides of the equation:

[tex]r-38+38=9+38\\r=47[/tex]

r = 47 is your final answer.

In a poll, a random sample of 2163 adults (aged 18 and over) was asked, "When you see an ad emphasizing that a product is made in your country, are you more likely to buy it, less likely to buy it, ar neither more nor less likely to
buy it? The results of the survey are presented in the side by side graph. Complete parts (a) through (d) below
Leihood to Buy When Made in Home Country
More
Les likely
| Neither
02
(a) What proportion of 18 to 34 year-old respondents are more likely to buy when made in their country? What proportion of 35 to 44 year-old respondents are more likely to buy when made in their country?

Answers

Answer:

Step-by-step explanation:

​(a) What proportion of​ 18- to​ 34-year-old respondents are more likely to buy when made in their​ country? What proportion of​ 35- to​ 44-year-old respondents are more likely to buy when made in their​ country?

The proportion of​ 18- to​ 34-year-old respondents is

0.66

The proportion of​ 35- to​ 44-year-old respondents is

0.56

(b) What age group has the greatest proportion who are more likely to buy when made in their country?

18-34 yrs

(c) Which age group has a majority of respondents who are less likely to buy when made in their country?

55+

(d) What is the apparent association between age and likelihood to buy when made in their country?

As age decreases, the likelihood to buy homegrown increases

help pls will give brainliest !!!!

Answers

Answer:

can you retake the picture i cant really see this one very well

Step-by-step explanation:

10^(4x−1)=2^5 round the answer to the nearest tenth
HELP!

Answers

Try searching up “wolfram alpha” and put that question in. It’s a great math website and answers almost any math question you have.

which expression can be used to find the surface area of the following triangular prism. choose 1 answer.​

Answers

A the answer is A...

Answer:

A is in fact correct.

Step-by-step explanation:

What’s the answer and work for this? Someone please tell me

Answers

Answer:

Step-by-step explanation:

# 12

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12 is a median of a data

finding missing angles in triangles worksheet answers house

Answers

Step-by-step explanation:

What exactly are you looking for?

Multiply (6+3i)(3+i)

Answers

Correct answer is B.

Peterson Packaging Inc. does not currently pay dividends. The company will start with a ​$0.70 dividend at the end of year three and grow it by 10​% for each of the next six years. After six years of​ growth, it will fix its dividend at ​$1.36 forever. If you want a 15​% return on this​ stock, what should you pay today given this future dividend​ stream?

Answers

$1.40 because I think so


Evaluate the following algebraic expression at x = 4 and simplify your answer.
- 5x – 18 – 7x

Answers

step by step:
first you need to plug in the x into the equation
-5(4)-18-7(4)
now you solve
-20-18-28
which equals
-66

Without graphing, tell whether the line containing (6. -3) and (0, -8) is horizontal, vertical, or neither.
A neither
O B. vertical
ci horizontal

Answers

The best answer to go with is b your welcome

If you have $2000 and you made an investment that cost $400 and it gives back 1000 how much

Answers

Answer:

you made 600 profit

Step-by-step explanation:

2000-400=1600

1600+1000=2600

2600-2000=600

Answer: 2600

Step-by-step explanation:

2000 - 400 = 1600 + 1000 = 2600

what is the total of 8 and 4 times y​

Answers

Answer:

12y?

Step-by-step explanation:

I’m assuming total meansd addition in this case and multiplying that by a variable or “y” would be 12y

i read the question wrong, nvm.

Simone asked her classmates, "How many days do you floss your teeth in a
typical week?" The table shows Simone's data.
Days of Flossing per Week
6
3
1
4
3
3
5
6
6
7
7
6
5
3
2.
4
0
4.
5
7
1
2
6
7
How many observations did she record?

Answers

Answer:

24

Step-by-step explanation:

Count the amount of answers she got.

Keisha’s basketball game started at 3:30 and ended at 4:47. How much time elapsed during the game?

Answers

Answer:

1 hour and 17 min

Step-by-step explanation:

it takes 30 min to get to 4  the another 30 min to get to 4:30 then 17 min to get to 4:47

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