Suppose commute times in a large city are normally distributed and that 63.70% of commuters in this city take more than 22 minutes to commute one-way. If the standard deviation of such commutes is 6.3 minutes, what is the mean commute?

Answers

Answer 1

Answer:

The mean is 24.205

Step-by-step explanation:

Firstly, we need to get the z-score

From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way

So the probability we had was;

P( x > 22)

So we need the z-score corresponding to 63.70% or simply 0.637

We can use the standard normal distribution table to get this

Mathematically, from the standard normal distribution table this is -0.35

z-score = (x- mean)/SD

-0.35 = (22-mean)/6.3

22-mean = -2.205

mean = 22 + 2.205 = 24.205


Related Questions

Please help! i’ve been stuck on this for over 10 minutes.

Answers

Pick two points in the graph
(-2,0) and (3,4)
Slope: (y2-y1)/(x2-x1)
(4-0)/(3+2)
Slope is 4/5

combine like terms: 80 + 50m + 65 + 40m​

Answers

Answer:

90m+145

Step-by-step explanation:

80 + 50m + 65 + 40m​

90m+145

OMG My teacher posted this stupid assignment and I CANT find WALDO!!! HELP!!!
(also she is my math teacher for those wondering why this was posted in math)

Answers

Answer:

hes at the top left corner with the bootsss

Step-by-step explanation:

b) What is the value of 3V125 ?

Answers

Answer: 5

Explanation:

Cube root (125) = Cube root(5^3) = 5

Answer: 5

Step-by-step explanation: 5 x 5 x 5 = 125 and since your finding the cubed root of 125, there are supposed to be 3 numbers you multiply that are the same. This is why the answer is 5. Plus, Roots are the inverse operation of exponents.

It said that it was wrong.

Answers

answer: what was wrong?
what was wrong? does this have a picture or what,?

What is angle MNT? Help

Answers

Answer: acute

Step-by-step explanation: it is less than 90 degrees so it is less the right angle

120 degrees.

Angle MNT is equal to its opposite angle, (I cant tell you the angle as one of the points is not showing, it uses T and Q)

Remember, all triangles have angles that when added together, equal 180 degrees.

So, add 35 and 25, which is 60.

Now subtract 60 from 180, 120.

Have a great day!

A saleswoman is paid $10 per hour and $6 for each sale she makes. She wants to earn
more than $150 in an 8-hour work period.

What inequality that represents the number of sales, x, the saleswoman must make in an 8-hour
period to earn more than $150.
O A 80 + 62 > 150
OB. 80 + 62 > 150
o C 80+ 6 > 150
D. 802 + 6 > 150
Activity 2 of 2
What is the least number of sales she must make to reach her sales goal? Show your work or
explain your answer.

Answers

Answer: It's, 80+6>150

Step-by-step explanation:

Answer:

80+6x>150

The least amount of sales are 12

Step-by-step explanation:

A centroid of a triangle is always inside the triangle because the
passes through a vertex and the side opposite.
A. median
B. angle bisector
C. altitude
D. perpendicular bisector

Answers

The answer is B. Hope this helps!

Pls do this 10 points will mark brainliest pls I need help this is multiplying positive and negative integers

Answers

-2 11/35

Explanation

All you have to do is multiply a crossed and if there is only one negative then it will be a negative and if there are two negative than it will be a positive after you get the imporoper fraction divided the top and bottom and you will get 2 remandier 11 then you just put it like this -2 11/35

*20 POINTS*

A coffee table is shaped like a square and has an area of 22 square feet. Find the length of the side of the table to the nearest tenth of a foot.

Answers

Answer:

4.69 feet

Step-by-step explanation:

If the table is a square, all the sides are equal and the area is the length of one side squared.  A=l^2

The length must then be the square root of the area. The square root of 22 square feet is 4.6904 feet. Rounded to the nearest tenth, that is 4.69 feet.

3/5x - 2/3y = 5 in standard form

Answers

Answer:

9x - 10y =75

Step-by-step explanation:

y = 9/10x - 15/2y

that should be standard form

10 less than the product
Of 7 and a number is 25

Answers

Answer:

165

Step-by-step explanation:

7*25-10

175-10

165

I'm answering any 5th grade and below questions​

Answers

Answer:

In at least one hundred words, describe how what Markandaya reveals about Kenny helps to shape his character, and which themes in Nectar in a Sieve are developed with this information.

Step-by-step explanation:

could someone help? picture Is included. "Even More Situations, Diagrams, and Equations"

Answers

Answer:

story 1- B  and story 2-Ax and y is the amount of flyers she gave to each volunteer.  3x+12=90   3y+36=90x= 26   y=18

3x+12=90

3x+12-12=90-12

3x=78

3x/3=78/3

x=26

3y+36=90

3y+36-36=90-36

3y=54

3y/3=54/3

y=18

I hope this is good enough:

4. (08.01, 08.02, 08.03 HC)
Create a factorable polynomial with a GCF of 5z. Rewrite that polynomial in two other equivalent forms. Explain how each form was created. (10 points)

Answers

Answer:

Here GCF is 5z

all terms are divisible by 5z. so greatest common factor is 5z

One form of polynomial is

We factor the polynomial further

Other form of polynomial is

 and  are the two forms of polynomial

First form   is created by taking out GCF 5z

SEcond form   is created by factoring x^2 + 5x + 6

Step-by-step explanation:

Here GCF is 5z
all terms are divisible by 5z. so greatest common factor is 5z

One form of polynomial is
We factor the polynomial further
Other form of polynomial is
and are the two forms of polynomial
First form is created by taking out GCF 5z
SEcond form is created by factoring x^2 + 5x + 6

There are 1,496 souvenir paperweights that need to be packed in boxes. Each box will hold 16 paperweights. How many boxes will be needed?

Answers

Answer:

Step-by-step explanation:

what you need to do is 1496 divided by 16 because you have 1496 and 16 go into each box so u divide

Please anyone help me

Answers

Answer:

-52

Step-by-step explanation:

plug 2 into u(x) which is equal to

2(5) + 1= 5

plug 5 into w(x) which is equal to

-2(5^2) - 2

-2(25) - 2

-50 - 2 = -52

HELP!!
Graph the following direct proportions: y=-2.5x
If possible please explain how to do this so I won’t have to ask future questions :)

Answers

since the equation doesn’t have a constant term following the slope then it goes through the origin (0,0)

so start from the origin and go down 2.5 and over to the right 1 and keep repeating that pattern

then to make the left end of the line, go 2.5 up and 1 left

this will result in a line going downwards at a slope of 2.5 (aka making a y = -2.5x line)

A number n is no less than -3. what is the inequality

Answers

Answer:

n ≥ -3

Step-by-step explanation:

If n can be no less than -3... then we know that n has to be bigger than or equal to -3.

This could also be said as greater than or equal to -3

Conveniently enough... there is a sign for greater than or equal to and it is ≥

PLEASE HELP ME! THANK YOU!

Answers

Answer:

i suppose it is on the 1, so it is (-1, inf) (-inf, 1)

HElppppppp!!!!
everything is on the image

Answers

Answer:

a. 6

b. 12

c. [tex] y = 6x + 12 [/tex]

Step-by-step explanation:

a. Using two pairs of values given, (0, 12) and (1, 18)

Rate/slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{18 - 12}{1 - 0} = \frac{6}{1} = 6 [/tex]

Unit rate/slope (m) = 6

b. The starting value is the y-intercept (b). It is the value of of y when x = 0.

From the table, when x = 0, y = 12.

Therefore the starting value (b) would be 12.

c. The equation can be written in slope-intercept form, [tex] y = mx + b [/tex], where,

m = slope/rate = 6

b = starting value/intercept = 12.

Plug in the values into the equation

The equation would be:

✅[tex] y = 6x + 12 [/tex]

how many fifths are in 4 4/10​

Answers

Answer:

2 fifths

Step-by-step explanation:

hope this helps

Answer:

22

Step-by-step explanation:

4 4/10 = 44/10 = 22/5 = 4 2/5

4 2/5

5х2 +х — 4
Factor completely

Answers

Answer:

(5x-4)(x+1)

Step-by-step explanation:

Two rectangles with perimeters that are proportional if the area is proportional

Answers

Answer: I'm so sorry, but I'm not sure what you are asking.

I just read your comment, thank you for clarifying, I just was expecting a question, so I didn't really get it. Yeah you are right.

Answer:

Yep

Step-by-step explanation:

Just do that and this then u got it u got to figure out life lol

In a TV contest show, Abraham has 1600 points. To determine his final score in the game, Thomas
will spin the spinner shown below, and multiply his current number of points by the fraction the
spinner landson.
10
3
10
10
10
3
Which statement correctly describes the effect of multiplying his current score by the fractions shown on
the spinner?

Answers

Answer: It makes it smaller, but I don’t know what the fractions are

Step-by-step explanation:

Have a happy thanksgiving!

Answer:

Step-by-step explanation:

What are the fractions on the spinner? What are the statements?

edhesive 4.5 Code Practice

Answers

Question: Write a loop that inputs words until the user enters STOP.

Answer:

count = 0

word = input("User Input: ")

while word!="STOP":

    count = count+1

    print("You entered: "+str(word))

    word = input("User Input: ")

print("All done. "+str(count)+" words entered")

Step-by-step explanation:

This line initializes counter variable count to 0

count = 0

This line prompts user for input

word = input("User Input: ")

The following iteration is executed until user enters STOP

while word!="STOP":

This increments counter variable by 1

    count = count+1

This prints the word entered by the user

    print("You entered: "+str(word))

This line prompts user for another input

    word = input("User Input: ")

This prints the number of input by the user

print("All done. "+str(count)+" words entered")

Answer:

c = 0

word = input("Enter a word: ")

while word!="STOP":

  c = c+1

  print("#" + str(c) + ": You entered "+str(word))

  word = input("Please enter the next word: ")

print("All done. "+str(c)+" words entered.")

PLEASE HELP ME!!!

A particle, initially 15m from the origin and travelling at –2 ms^-1, accelerates at a constant rate and ends up –20 m from the origin and travelling at –5 ms^-1. What
is its acceleration?

Answers

is: v² = v₀² + 2ax.

Solve for a: a = (v² - v₀²)/(2x).
You are given v₀ and v, and x is easy to calculate since you are given its initial and final values. The rest is just arithmetic.

Timmy flies out to Vail. After day one he has a bank account balance of -$2.50. If his debt
increases by $2.50 each day and he spends 5 days out in Vail what is his bank account
balance?

Answers

Answer:

$-12.50

Step-by-step explanation:

Take -2.50 and multiply it by 5 to get the answer.

if u = < 8,6> and v = (-8,-8>, what is u + v​

Answers

Answer:

(0,-2)

Step-by-step explanation:

[8+(-8)},[6+(-8)}

[8-8},[6-8}

0,2

Luke Bryant is a train conductor. He earns $36/hour and time and a half for overtime. Last week he worked 37 hours plus 8 hours of overtime. Solve for a. straight-time pay, b. over-time pay, and c. total pay ?

Answers

Answer:

Step-by-step explanation:

a Calculate Remas wage in a week where she works 37 hours. ... To calculate the hourly rate earned when working overtime we multiply the normal hourly rate by ... overtime factor, which is 1 2 for time and a half and 2 for double time. ... 3 Gareth works as a train driver and is normally paid $11.48 per hour.

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