Among the thirty largest U.S. cities, the mean one-way commute time to work is 25.8 minutes. The longest one-way travel time is in New York City, where the mean time is 38.5 minutes. Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 7.2 minutes. Use Appendix B.3. What percent of the New York City commutes are for less than 26 minutes

Answers

Answer 1

Answer:

4.093%

Step-by-step explanation:

Here, we want to calculate the proportion of Newyork commutes that are less than 26 minutes

We start by calculating the z-score

z = (x - mean)/SD

here;

x = 26

mean = 38.5 minutes

SD = 7.2 minutes

Thus, we have;

z = (26-38.5)/7.2

z = -1.74

We proceed to use the standard normal distribution table to get the probability of P(x < -1.74)

That will be 0.04093

So the proportion will be this in %

That will be 4.093%


Related Questions

Karie's dog weighs 18 pounds. How many ounces does the dog weigh?

Answers

Answer:

288 ounces

Step-by-step explanation:

Answer:

288 oz.

Step-by-step explanation:

According to Google.. I hope this helps you. Have a wonderful day/night. :3

A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per
hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per
week. His goal is to make at least $300 per week.
1. Create a system of equations or inequalities that models the situation. Define the variable you use

Answers

Answer:

15x20/300

Step-by-step explanation:

you multiply 15 and 20 then didvide that answer to 300

These are the  points (20,0), (0,20), (20,5) are a few points which represent the number of hours a student can work each job to meet his goal.

Let ;

The hour spent in mow lawns is represent by x,

And represent the hour spent for gardening by y.

According to the question;

He charges $15 per hour to work mow lawns .

And $20 per  hour to gardening .

Total no. of hours allowed to work = 20 hours per week

Then the inequality to represent the cost constraint will be,

15x+20y ≥ 300

Since,

He cannot work for more than 15 hours per week, the inequality to represent the time constraint will be,

x + y ≤ 20

On solving the inequalities,

15(20-y) + 20y = 300

300 - 15y + 20y = 300

5y= 0

y = 0

For value of x put y = 0

x + 0 = 20

It states if he work only in mows law for 20 hours he can earn $15 =(15)(20) =$300

All pairs of positive numbers whose sum is less than 20, are solutions to the given system of inequalities.

A pair of negative numbers will also solve both constraints, but is not applicable in this situation because a student, cannot work for negative hours, or  for a negative amount of money.

So, (20,0), (0,20), (20,5) are a few points which represent the number of hours a student can work each job to meet his goal.

For more information about system of inequalities click the link given below.

https://brainly.in/question/32858820

Please help! I’m terrible at math. You have a box that is 2 by 3 by 5. How many cubes does it hold? How do I figure out the answer?

Answers

Answer:

38 cubes

Step-by-step explanation:

The volume is calculated by multiplying the length x width x height. So the volume of this box is 30 cm3.

Assuming the cube is 1 x 1 x 1 (volume= 1cm3), then 30 cubes would be able to fit into the box. (30/1 = 30)

However, if the cube is 2x2x2, it would be able to fit 8 cubes.

The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.

Answers

Answer:

there is no slope

Step-by-step explanation:

there is no graph or points sooooooo

A parabola whose equation is y = (x - 5) 2 - 2 has a vertex at _____.

Answers

Answer:

The vertex would be at (5,-2).

A man earned wages of $36,300, received $2200 in interest from a savings account, and contributed $2700 to a tax-deferred retirement plan. He was entitled to a personal exemption of $4050 and a standard deduction of S6300. The interest on his home mortgage was $7800, he contributed $2900 to charity, and he paid $1750 in

state taxes. Find his gross income, adjusted gross income, and taxable income Base the taxable income on the greater of a standard deduction or an itemized

deduction

Answers

Answer:

Gross income = $38500

Adjusted gross income = $35800

Taxable income = $13000

Step-by-step explanation:

1. Gross income = wages + interest received

Gross income = $36,300 + $2200

Gross income = $38500

2. Adjusted gross income = Gross income - adjustments

Adjusted gross income = $38500 - $2700

Adjusted gross income = $35800

3. Taxable income = adjusted income - (exemption + deductions)

Taxable income = $35800 - ($4050 + $6300 + $7800 + $2900 + $1750)

Taxable income = $35800 - $22800

Taxable income = $13000

please help me with this math

Answers

i’m pretty sure it’s the third option

A system of linear equations is given by these equations 3y-2x=9 and y=-2x+5

Answers

Answer:

It would be (3/4,7/2).

oskjdkeowjbsndkwowjhdnekowu

Answers

Answer:

heifefhdhduhvndbaiuhdlfd

Step-by-step explanation:

what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald’s, at least 40 can taste the difference between the two oils? (2.5 pts.)

Answers

Complete Question

In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its French fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that only 3 out of 100 people can detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion), what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, at least 40 can taste the difference between the two oils? (2.5 pts.)

Answer:

The probability is  [tex]P(\^ p \ge 0.04 ) = 0.03216[/tex]

Step-by-step explanation:

From the question we are told that

   The population proportion is  [tex]p = \frac{3}{100} = 0.03[/tex]

    The sample size is  n  = 1000

 Generally the mean of this sampling distribution is  [tex]\mu_{x} = 0.03[/tex]

Generally the standard deviation of this sapling distribution is  mathematically evaluated as  

        [tex]\sigma = \sqrt{\frac{p (1 - p)}{n} }[/tex]

=>      [tex]\sigma = \sqrt{\frac{0.03 (1 - 0.03)}{1000} }[/tex]

=>      [tex]\sigma = 0.0054[/tex]

Generally the sample proportion when the number of those that can taste the difference is 40  is mathematically represented as

      [tex]\^ p = \frac{40}{1000} = 0.04[/tex]

Generally the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, at least 40( [tex]\^ p = 0.04[/tex]) can taste the difference between the two oils is mathematically represented  as

     [tex]P(\^ p \ge 0.04 ) = 1 - P(\^ p < 0.04 )[/tex]

Here

      [tex]P(\^ p < 0.04 ) = P(\frac{ \^ p - \mu_{x}}{\sigma } < \frac{0.04 - 0.03}{0.0054} )[/tex]

[tex]\frac{\^ p -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \^ p )[/tex]

=>   [tex]P(\^ p < 0.04 ) = P(Z < 1.85 )[/tex]

From the z table the probability of  (Z < 1.85  ) is

      [tex]P(Z < 1.85 ) = 0.96784[/tex]

So

    [tex]P(\^ p < 0.04 ) = 0.96784[/tex]

So

   [tex]P(\^ p \ge 0.04 ) = 1 - 0.96784[/tex]

=> [tex]P(\^ p \ge 0.04 ) = 0.03216[/tex]

         

A point has a positive x-coordinate and a positive y-coordinate. Which coordinate is it in?

A. Quadrant 1
B. Quadrant 2
C. Quadrant 3
D. Quadrant 4​

Answers

Answer: A. Quadrant 1

Step-by-step explanation: Quadrant 1 is for if both x and y values are positive.

Answer:

B quadrant 2

Step-by-step explanation:

Not sure though

Answer this to get brainliest


Goodluck!! (●'◡'●)

People come visit me but rarely stay long. I can be clean but am often very dirty. People usually reveal to me a part of them that they rarely show others. What am I?

Answers

Answer:

private part

Step-by-step explanation:

if people com visit but rarely stay long.. clean but dirty.. we reveal things to you.. you’re a shower.

2x + 4 = -8 X= ? Me need help .

Answers

So you subtract 4 and you get 2x=-12. Then divide by 2 and get x=-6. So -6 is the final. Can I get brainliest also please :)

Answer:

x = -6

Step-by-step explanation:

2x + 4 = -8

Subtract 4 from both sides, -8 - 4 is -12

2x = -12

Divide 2 from both sides

x = -6

What is the name for the smallest multiple that two whole numbers share?
A
greatest common factor
B.
infinite multiple
с
least common multiple
D
prime factor

Answers

Answer:

C. least common multiple

C least common multiple

Select the correct answer.
Aaron travels a distance of 680 miles in 8 hours by train. What is the speed of the train?

A.
75 miles/hour
B.
80 miles/hour
C.
85 miles/hour
D.
90 miles/hour

Answers

Answer:

B.

Explanation:

If you divide 680 by 8 you can get 80 miles/hour

Hope this helps ;)

Answer:

Answer : C

Step-by-step explanation:  If u divide 680 by 8 you will get 85 miles per hour if u don't believe me look it up

hope it help :)

Solve for x:
6 + x = 6(1 + 7x)​

Answers

The answer is: 0

Hope it helps!!!!!!

NEED HELP WITH MATH! Will Give brainliest! Picture of problem is below

Answers

Answer:

when the leading coefficient is negative it will affect the right and left side to also be negative

Step-by-step explanation:

Enter the ordered pair for the point.

Answers

Answer:

4,-4

Step-by-step explanation:

cuz

HELP FOR THE TRUE/FALSE

Answers

Answer:

True, eating cooked vegetables provides more nutrients than eating raw vegetables.

Answer:

1. false 2.true 3. true 4.true 5.true

Step-by-step explanation:

Solve for the value of k.
(8k+1)°
49°

Answers

(8(6)+1)° = 49

(48+1)°= 49

k = 6

i need the answer to this question: 5/2k-2

Answers

Answer:

5= 2k-2

5+2= 2k

7/2 =k

. k = 3.5

2y+1<7 answer that question

Answers

Answer:

y < 3

Step-by-step explanation:

2y + 1 < 7

~Subtract 1 to both sides

2y < 6

~Divide 2 to both sides

y < 3

Best of Luck!

Which one is greater less than and or equal to?

Answers

Answer:

a greater than

b equal to

C equal to

d greater than

8. Nineteen out of
twenty people are
born right-handed.
What is this ratio as a
decimal?

Answers

.95 because 19/20 multiply that by 5 to get 95/100 and 95 divided by 100 is 0.95

what is 2/3 divided by 1/2?

Answers

Answer:

4/3

Step-by-step explanation

When dividing fractions you flip the secod fraction then multipy.

Hope this helps :)

The cost of a monthly cell phone plan is represented by the expression 0.35m+55, where mis
the number of text messages sent.

What could the 55 represent?

Answers

It might be the amount of times they pay a year?

Fill in the blank. The critical value tα/2 that corresponds to a​ ________% confidence level with 1000 degrees of freedom is 2.33.

Answers

Answer:

The critical value tα/2 that corresponds to a​ 98% confidence level with 1000 degrees of freedom is 2.33.

Step-by-step explanation:

From the question we are told that

   The critical value is  [tex]t_{\frac{\alpha }{2} } = 2.33[/tex]

From the student's t distribution table the probability of     [tex]( t > 2.33)[/tex] at a degree of freedom of  1000 is  

        [tex]\frac{\alpha }{2} = (t > 2.33 ) = 0.01[/tex]

Hence the level of significance is mathematically evaluated as

        [tex]\alpha = 2 * 0.01[/tex]

=>    [tex]\alpha = 0.02[/tex]

Generally the confidence level  is mathematically represented as

      [tex]C = 1- \alpha[/tex]

=>  [tex]C = 1- 0.02[/tex]

=>  [tex]C = 0.98[/tex]

Converting to  percentage

=>  [tex]C = 0.98 * 100[/tex]  

=>  [tex]C = 98\%[/tex]  

The sum of two integers is 9. Their difference is 5.
What are the two integers?
A 7 and 12
B-7 and 16
C -12 and -7
D 2 and 7

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( D )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Look :

[tex]7 + 2 = 9[/tex]

[tex]7 - 2 = 5[/tex]

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It’s D because 7+2 is 9 and they are 5 numbers apart therefore the difference is 5a

Using the diagram to find the value of x.

Answers

Answer:

x i a 90 degree anglt

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Sum of all angles = 360°

85° + x + 35° + 2x = 360°

3x + 120° = 360°

3x = 360° - 120°

3x = 240°

x = 80°

Describe how to model two digit by two digit multiplication using an area model

Answers

Answer:

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Properties of Multiplication and Division and Problem Solving with Units of 2–5 and 10. Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10 Multi-Digit Whole Number and Decimal Fraction Operations.

Step-by-step explanation:

can i have brainliest plz :)

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