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

Solve the following percentage problem 85%of 40

Answers

Answer:34

85% of 40 = 34

Step-by-step explanation:85 percent of 40? = 34.

Answer:

34

Step-by-step explanation:

A box contains 6 red marbles, 10 blue marbles and 4 yellow marbles.
Which colour marble is impossible to take from the box?
red blue white yellow

Answers

Answer:

White because there is no white marble.

Step-by-step explanation:

white , there’s every colour but white

Select the correct answer,
Factor the given expression,
X2 + 16x + 64
O A. (X + 8)(x-8)
OB. (x+ 16)(x + 4)
Oc. (x+4)?
OD. (x+8)?

Answers

Answer:

(x+8)^2

Step-by-step explanation:

x^2 +16x+64

What two numbers multiply to 64 and add to 16

8*8 = 64

8+8 = 16

(x+8)(x+8)

(x+8)^2

AABC is isosceles.
MZA = 48° and mZB = 4x + 4.
A
B
x= [?]


Answers

11 I hope that is on of your options

What is the area of the triangle? 13 5 12 ​

Answers

Answer:29

Step-by-step explanation:

HELP! SIMPLE PROBLEM!
Find the slope m of the line that passes through points (1, 1) and (7, 5)

Answers

Answer:2/3

Step-by-step explanation:

PLLS HELP I HAVE BEEN ASKING FOR 2 DAYS NOBODY HAS HELPED ME PLSSS OMG IM CRYING I WILL GIVE BRAINLIEST

Answers

Answer:

D. -(22/4)

Step-by-step explanation:

22/-4= -5.5

-(22/4)= -5.5

A player of a video game is confronted with a series of opponents and has an 80% probability of defeating each one. Success with any opponent is independent of previous encounters. Until defeated, the player continues to context opponents. 1). What is the probability that a player defeats at least three opponents in a game

Answers

Answer:

0.512 = 51.2% probability that a player defeats at least three opponents in a game

Step-by-step explanation:

Outcomes in which he defeats less than three opponents:

Lose to the first opponent: 0.2 probability.

Beats the first opponent, loses to the second: 0.8*0.2 probability

Beats the first two opponents, loses to the third: 0.8*0.8*0.2 probability:

Probability of losing before beating three opponents:

[tex]P(b < 3) = 0.2 + 0.8*0.2 + 0.8*0.8*0.2 = 0.488[/tex]

What is the probability that a player defeats at least three opponents in a game?

[tex]P(b \geq 3) = 1 - p(b < 3) = 1 - 0.488 = 0.512[/tex]

0.512 = 51.2% probability that a player defeats at least three opponents in a game

Prove that triangle Bad is congruent to triangle ABC​

Answers

Answer:

Step-by-step explanation:

From the diagram,

i. To prove that; ΔBAD ≅ ΔABC

It can be inferred that;

<BAD ≅ <ABC (right angle of a triangle)

AC ≅ BD (diagonal of a rectangle)

AD ≅ BC (property of the sides of a rectangle)

AB ≅ CD (property of the sides of a rectangle)

Therefore,

ΔBAD ≅ ΔABC (SAS, Side-Angle-Side, congruent relations)

ii. From the given rectangle,

AC = BD = diagonal

Since;

AD ≅ BC (property of the sides of a rectangle)

AB ≅ CD (property of the sides of a rectangle)

Then,

AC ≅ BD (diagonal property of a rectangle)

The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below:

Step 1: 3(3y − 8) = 10 + 3y
Step 2: 6y − 5 = 10 + 3y
Step 3: 3y − 5 = 10
Step 4: 3y = 15
Step 5: y = 5

In which step did the student first make an error and what is the correct step?

Step 2: 9y − 24 = 10 + 3y
Step 2: 6y + 11 = 10 + 4y
Step 3: 6y − 8 = 3(6 + y)
Step 3: 3(3y − 8) = 7 + y

Answers

Step 2 9y - 24 = 10 + 3y because 3 times 3y its not 6y nor is 3 times 8 equal to 5

find x, y, and z do not include degrees

Answers

Answer:

x is 64 , y is18 and z is 98

Step-by-step explanation:

these angles are congruent and u get z by adding 64 and 18 then subtracting it for 180 since it makes a straight line

Jayla had some video games, and then she bought 4 more games. Now she has 10 games.
1) Write the equation that matches this situation.
2) Define the variable.
3) Find the solution.

Answers

Step-by-step explanation:

Jalya's video games = x

She bought four more = +4

Now what she has = 10

1. x+4=10

2. The variable x represents the unknown value of the video games Jayla had.

3. x+4=10(Group like terms)

x=10-4

x=6

5. The owners of a two-person business make their decisions independently of each other and then compare their decisions. If they agree, the decision is made; if they do not agree, then further consideration is necessary before a decision is reached. The first owner makes the right decision 60% of the time; the second - 70% of the time. Enter your answers as decimals. 5(a) What is the probability that they make the right decision on the first try. 5(b) What is the probability that they make the wrong decision on the first try. 5(c) What is the probability that they delay the decision for further study.

Answers

Answer:

A. 0.42

B. 0.12

C. 0.45

Step-by-step explanation:

A. The probability that they make the right decision on the first try

First person = 60%

Second person = 70%

= 60% * 70%

= 0.42

B. Probability that they make wrong decision

= Wrong decision from first person * wrong decision from second person

Wrong decision = 1- right decision

= 1-0.60 * 1-0.70

= 0.40x0.30

= 0.12

3. Probability they delay decision

= 0.60(1-0.60)+0.70(1-0.70)

= 0.60x0.40 + 0.70x0.30

= 0.24+ 0.21

= 0.45

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:

Bella, Tia, and Ron participate in a trivia contest at a book shop. Tia scores 4 points, Ron scores 3 points, and Bella scores 2 points. Each player gets a number of paperback books equal to the square of the points he or she scores. What is the total number of books the players receive?


42 × 32 × 22

42 + 32 + 22


24 × 23 × 22


24 + 23 + 22

Answers

Answer:

4(2 on top) + 3(2 on top) + 2(2 on top)

Step-by-step explanation:

Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) Can you do 1 and 4 thanks!! :)))

Answers

Answer:

1. 18.85in

4. 25.13m

Step-by-step explanation:

I got you

So to find the circumference of any circle we use the equation 2pi(r)

2(3.1415)(3)= 18.85in for the first one because radius is half of the diameter which is 6 so half of 6 is 3

For 4. 4m is actually the radius so just plug that into the equation 2pi(4)=25.13m

In AJKL, j = 55 inches, k = 51 inches and L=38°. Find the area of AJKL, to the
nearest square inch.

Answers

Answer:

863

Step-by-step explanation:

From reference sheet.

Plug in values.

Area≈863.465≈863

Evaluate and round.

What is the solution to the linear equation?
2/3 x-1/2=1/3+5/6x

O x = 5
0 x = 1 - 2
0 x =
O x=5

Answers

[tex]2.3x - 5.6x = 1.3 + 1.2 \\ - 3.3x = 2.5 \\ - x = 0.75 \\ x = - 0.75[/tex]

i hope it helps u



Someone actually help me w this ☝

Answers

Answer

Sorry If this is not correct, but I believe you keep the X varriable the same and multiply the Y varriable by 4. This means it will move to the right on the grid.

New coordinates: G(3,4) T(1,4) B(3, 20)

someone please help me answer this!!

Answers

Answer:

8 units is the answer.

Step-by-step explanation:

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-9)^2 + (-7-1)^2}\\\\d=\sqrt{(0\\)^2+(-8)^2} \\\\d=\sqrt{64} \\\\d=8[/tex]

∴ d = 8 units

complete the table for the equation

Answers

Answer:

(2,5)

(3,-4)

(4,-7)

(5,-4)

(6,5)

Consider the functions f(x) = x2 - 4x and
g(x) = (x - 2)2 + 3.
Which of the following statements are true? Select all that apply.

A)The graphs of f(x) and g(x) share the same axis of symmetry.

B)The graphs of f (x) and g(x) share the same y-intercept.

C)The graphs of f(x) and g(x) share the same
x-intercepts.

D)The graph of f(x) and g(x) open in the same direction.
The graph of f(x) is wider than the graph of g(x).

E)The vertical distance between the vertex of f(x) and the vertex of g(x) is 4 units.

Answers

Answer:

A, D

Step-by-step explanation:

graphed each function and looked at graphs to determine which statements were true

you don't have to answer them all but help me out !!

Answers

Answer:

1. 10n

2. 3x^2z^2

3. 2(9n^3 - 3n^2 + 3n - 1)

4. (Put the same thing)

5. There are no common factors so it is completely factored out.

Step-by-step explanation:

For 1, you gotta find the gcf of the numbers and the variables. So, the common factor of 90, 70, 70, and -80 is 10. Nothing else greater than 10 divides these numbers. For the variables, only "n" is the GCF, as there is one "n" and all the other numbers have n^2 and etc.

For 2, same thing, you have to find the gcf for the numbers and the variables.

3. same thing ;-; (gcf is 2 btw, nothing divides the variables because 2 has no "n".

4. theres nothing that divides the numbers or the variables. So, the gcf is just 1.

The following is a data set of five quiz scores.



92, 88, 90, 96, 84



What is the mean absolute deviation of the scores?

Answers

Answer:

The mean absolute deviation is 36.8. Hope this was helpful

Step-by-step explanation:

7. carmen estimates that deductions from his gross pay will be 25%. assuming the weekly gross pay is $229.22, carmen can expect the weekly paycheck to be $_________.​

Answers

Amount of deduction

25% of 229.22229.22/4$57.3

Net pay check

229.22-57.3$171.92

Answer:

$171.92

Step-by-step explanation:

Given information:

Weekly gross pay = $229.22

Gross pay is the pay received before any deductions are taken.

Therefore, if 25% of deductions are taken from the given gross pay, the net pay will be 75%, since 100% - 25% = 75%.

Therefore, to calculate the expected weekly paycheck, find 75% of the gross weekly pay:

  75% of $229.22

= 0.75 × 229.22

= 171.915

= $171.92

NO LINKS.
12 ÷ x = 36
Find x.

Answers

Answer:

x=1/3 or 0.3

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

Answer:

Solution given:12 ÷ x = 36

x=12/36=1/3 is your answer

Naming with the vertex only won't work when there are multiple angles with the same vertex. True or False?

Answers

True
Extra characters

Find the surface area of the shape

Answers

Answer:

180

Step-by-step explanation:

Find the lateral and surface area for the pyramid with a regular base. Where necessary, round to the nearest tenth.

Answers

Answer:

Lateral area -288. Surface area-96

Step-by-step explanation: teacher told me

Use a formula to find the are.​

Answers

The area of is: 200 cm^2
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