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

Ebru is an entrepreneur. She plans to start 2 different very small businesses in the next year. Both businesses are independent of each other, and each business has a 50%, percent chance of being successful and a 50%, percent chance of failing.

Each business will make Ebru $200 if it succeeds or lose her $200 if it fails.

if X is a random variable that represents Ebru's profit from starting these 2 businesses, draw a graph to show the probability distribution for all possible values of X.

Answers

Answer:

Step-by-step explanation:

Question
Use the Quotient Rule of Logarithms to write an expanded expression equivalent to ln(2/7).Make sure to use parenthesis
around your logarithm functions log(x + y).
Provide your answer below:

Answers

Answer:

ln(2) - ln(7)

Step-by-step explanation:

Logarithmic expressions are represented using ln or log keywords

The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

The expression is given as:

[tex]\mathbf{ln(2/7)}[/tex]

The quotient rule of logarithm states that:

[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]

So, by comparison:

a = 2, and b = 7

So, we have:

[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]

Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

Read more about logarithms at:

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pls help me :( Find the value of x. Round to the
nearest tenth.

Answers

Answer:

11.3

Step-by-step explanation:

Set up your equation:

a² + b² = c²

Plug in your values:

a² + 4² = 12²

Get a² by itself:

a² = 12² - 4²

Square your numbers and subtract:

a² = 144 - 16

a² = 128

Find the square root of both sides:

√a² = √128

a = 11.3

A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the experimental probability of rolling the given result? a prime number a. 0.45 c. 0.71 b. 0.55 d. 0.73 Please select the best answer from the choices provided A B C D

Answers

Answer: B

Step-by-step explanation:

The prime numbers here are outcomes 2, 3, and 5.

Therefore, we must add the frequency numbers for these prime numbers:  

                36 + 44 + 30 = 110

Out of 200 dice rolls, 110 were prime numbers. This can be represented as:

              110/200 = 11/20 (fraction form)

                             = 0.55 (decimal form)

Therefore, the answer is b. 0.55

In a survey of 292 students, about 9.9% have attended more than one play. Which
is closest to the number of students in the survey who have attended more than one
play?
3 students
10 students
20 students
30 students

Answers

Answer: it's 30 I rook the quiz and got 100

Step-by-step explanat

Suppose that the ingredients for a large bucket of popcorn cost a movie theater 80 cents
to buy. If the theater charges $9 for the bucket, what is the percent markup? Give your
answer as a percent rounded to the nearest whole percent.

Answers

Answer:

The percent markup is 91%.

Step-by-step explanation:

1. find the amount of profit per large bucket of popcorn

9 - 0.8 = $8.2

2. divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn

8.2 / 9 = 91%

Answer:

The percent markup is 91%.

1. find the amount of profit per large bucket of popcorn

9 - 0.8 = $8.2

2 divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn

8.2 / 9 = 91%

Which of the following grids does the
shaded portion represent 10% of the grid?




Answers

Answer:

C

Step-by-step explanation:

Since the area all of the grids are 100 (10X10), in order for the shaded portion to be 10% of that it would have to be 10 of the squares. (10% = 10/100) Therefore because the one with 10 squares shaded is C, the answer is C!

Answer:

meow meow ............

.......

Mr. Jamison bought a toaster oven that was originally priced at
$89. He received a 20% discount. What is the sale price of the
toaster oven?
please help

Answers

$89(0.20) = $17.8
$89-$17.8 = $71.20

Answer: $71.20

Step-by-step explanation: 20% discount means 20% of the original price is subtracted from the original price, so to find 20% of the original price multiply 89 by 0.2 and you will get 17.8. Subtract the 17.8 from 89 and you get the answer, $71.20!  

In a certain clothing store 6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41 determine the cost of each shirt

Answers

Answer:

Step-by-step explanation:

lets have the shirts represent s and the ties t.

1. 6s+3t=79.50

2. 3s+2t=41

These would be the equations.

you multiply the second equation by -2 to cancel s and add both equations.

6s+3t=79.50

-6s+-4t=-82

-1t=-2.5 (after adding you divide by -1)

t=2.5

You can then subsitute that in either equation.

I am going to ue teh second one.

3s+2t=41

3s+2(2.5)=41

3s+5=41 (subract 5 to isolate variable)

3s=36 (divide by 3 to isolate variable)

s=12

Hence, one shirt is 12$.

Which figures can have all of the properties shown below?



2 pairs of parallel sides
Sides that are perpendicular
Opposite sides that are equal

square, pentagon, rectangle


trapezoid, triangle, square


quadrilateral, square, rectangle


rectangle, hexagon, square

Answers

Answer:

Quadrilateral, square, rectangle

Step-by-step explanation:

An object have parallel sides if the sides have the same distance apart and they never meet.  

Quadrilaterals usually have parallel sides

Polygons including triangles and pentagons do not have parallel sides

the sides of a quadrilateral are also perpendicular. the sides form a 90 degree angle with each other

Opposite sides of a quadrilateral are usually equal. For example, the opposite lengths of a rectangle are equal. the four sides of a square are equal

he response times for a random sample of 40 medical emergencies were tabulated. The sample mean is 13.25 minutes. The population standard deviation is believed to be 3.2 minutes. The EMS director wants to perform a hypothesis test, with a .05 level of significance, to determine whether the service goal of 12 minutes or less is being achieved.

Answers

Answer:

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

The EMS director wants to service goal of 12 minutes or less is being achieved

Step-by-step explanation:

Step(i):-

Given that the size of the random sample = 40

Given that the mean of the sample (x ⁻) = 13.25

Given that the standard deviation of the Population = 3.2 minutes

Level of significance = 0.05

The mean of the Population (μ) = 12

Step(ii):-

Null hypothesis:-H₀: (μ) = 12

Alternative Hypothesis: H₁ : μ < 12

Test statistic

                  [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

                  [tex]Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }[/tex]

                  Z = 2.5

The tabulated value Z₀.₀₅ = 1.96

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

Final answer:-

The EMS director wants to service goal of 12 minutes or less is being achieved

PA = 0.5 PB = 0.3 and p A and b equals 0.15 what is p A or b

Answers

Answer:

P(A) = 0.2, P(B) = 0.5, P(A\B) = 0.3:

P(A\B) = P(A and B) P(B)

0.3 = P(A and B) 0.5

0.15 P(A and B)

P(A and B) = 0.15

B. P(A or B) = P(A) + P(B) - P(A and B)

0.2 + 0.5 - 0.15

0.70 - 0.15 = 0.55

both pictures go together

Answers

The probabilities of the events are P(A) = 4/7. P(B) = 1/2, P(A and B) = 1/7, P(A | B) = 2/7 and P(B) * P(A | B) = 1/7

The probability that equals P(A and B) is P(B) * P(A | B)

How to calculate the probabilities of the events

From the question, we have the following parameters that can be used in our computation:

The Venn diagram

Where, we have

A = 8

B = 7

A and B = 2

Neither = 1

Total = 14

So, we have

P(A) = 8/14 = 4/7

P(B) = 7/14 = 1/2

P(A and B) = 2/14 = 1/7

P(A | B) = (1/7)/(1/2) = 2/7

P(B) * P(A | B) = 1/2 * 2/7 = 1/7

How to calculate the probability that equals P(A and B)

In (a), we have

P(A and B) = 1/7

Also, we have

P(B) * P(A | B) = 1/7

This means that the probability that equals P(A and B) is P(B) * P(A | B)

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Use the image to determine the type of transformation shown.

A. Reflection across the x-axis
B. Horizontal translation
C. Vertical translation
D. 180° clockwise rotation

Answers

The orientation change and the symmetry across the center of rotation confirm that it is a 180° clockwise rotation. Therefore, the correct answer is D. 180° clockwise rotation.

Based on the image provided, the type of transformation shown is a 180° clockwise rotation.

A 180° clockwise rotation occurs when each point in the original shape is rotated by 180° in a clockwise direction around a fixed point. In the given image, we can observe that the original shape has been rotated by half a complete revolution, resulting in the new shape being a mirror image of the original shape but in the opposite orientation.

This transformation is evident by comparing the positions of the vertices and sides of the original shape to those of the transformed shape. The orientation change and the symmetry across the center of rotation confirm that it is a 180° clockwise rotation.

Therefore, the correct answer is D. 180° clockwise rotation.

for such more question on transformation

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The area of a rectangle is 192 cm. The length of the rectangle is 16 cm. What is the width?

192 = 16w -(solve for w)

Answers

Area =L×W

192=16W

192/16 =W

W=12cm

what does any order grouping mean when adding expressions

Which properties are used?

Answers

the answer is not 3752838.56

Answer:

To evaluate a variable expression means to find the value of the expression for given values of the variables. To evaluate, substitute the given values for the variables in the expression and simplify using the order of operations (PEMDAS)

Rewrite 0.81 x
104 in scientific notation.
x 10
HELP ME

Answers

0.81 x 10^4
= 8.1 x 10^3

Answer:

Ok ill help i guess

Step-by-step explanation:

0.81 X 10000

Seth needs to buy mulch to cover a circular garden. The garden has a radius of 5ft. Mulch costs $0.25 per square foot. How much will it cost Seth to cover his garden in mulch?

Answers

Answer:

?????

Step-by-step explanation:

12x 0.25=?          ?x 5= $?

write 11/12 demoniator 84 to a equivalent fraction​

Answers

Answer:

77/84

Step-by-step explanation:

84 ÷ 12 = 7

Multiply the numerator and denominator by 7

[tex]\frac{11}{12}=\frac{11*7}{12*7}=\frac{77}{84}[/tex]

What is 6 7/13 divided by 5

Answers

Answer:

17/13

Step-by-step explanation:

Answer:

[tex]\frac{17}{13}[/tex] or 1 [tex]\frac{4}{13}[/tex]

Step-by-step explanation:

(1\6-1)(3-2/5)-(1/3-1/2)

Answers

Answer:

2 1/3 (simplified)

Step-by-step explanation:

(1/6 - 1) = -5/6

(1 = 6/6)

(3 - 2/5) = 2 3/5

[3= 18 (3 * 6)]

(1/3 - 1/2) = -1/6

(you can change both of the denominators to 6 by multiplying them both by 3 / 2

So the equation now is

(-5/6)(2 3/5) - (-1/6)

-5/6 * 2 3/5 = 2 1/6 (simplified)

2 1/6 - -1/6 = 2 1/3 (simplified)

A four-sided backyard is in the shape of a parallelogram and has two adjacent sides both with lengths of 30 feet. Which of the following must be true about the shape of the backyard?​

Answers

Answer:

The question is uncomplete.

Step-by-step explanation:

Sorry but after you said

"which of the following must be true about the shape of the backyard." you didn't list possibilities after that. sorry

The statement that is true about the shape of the backyard is that: it is a rhombus.

What is a Rhombus?

A rhombus is a quadrilateral whose adjacent sides have equal lengths, that is, they are congruent.

Thus, since the four-sdied backyard is in the shape of a parallelogram and also has two adjacent sides that are congruent (30 ft each), then it is a rhombus.

Therefore, the statement that is true about the shape of the backyard is that: it is a rhombus.

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what are some common work activities performed by Human Resources Managers? Check all that apply.
resolving conflicts and negotiating with others

operating vehicles, mechanized devices, or equipment

handling and moving objects

establishing and maintaining interpersonal relationships

inspecting equipment, structures, or material

communicating with supervisors, peers, or subordinates a

Answers

Answer:

A, resolving conflicts and negotiating with others

D,establishing and maintaining interpersonal relationships and F,communicating with supervisors, peers, or subordinates.

Step-by-step explanation:

Answer:

its A,B,D,F

developing objectives and strategies

assisting and caring for others

establishing and maintaining interpersonal relationships

interpreting the meaning of information for others

Is 8/10 greater than 63/100

Answers

Answer:

8/10 is greater than 63/100, it is grater because when u change them into a percentage 8/10 is higher

Step-by-step explanation:

Answer:

true :D

8/10 = 80/100 which is greater than 63/100

Mischa wrote the quadratic equation 0=-x^2+4x-7 in standard form. If a = -1, what is the value of c in her equation?

Ac=-7 (correct answer on edg)

B.c=-1

C.c=4

D.c=7

Answers

The correct answer
C= -7

square root 3 minus X Minus x squared is equals to x - 2​

Answers

Step-by-step explanation:

I hope it helps I was just trying. if I'm wrong you can tell me I I will ask the people who are around me. wish you all the best.

what is the cube root of -0.216?

Answers

Answer:

-0.6

Step-by-step explanation:

Help please !! need it asap

Answers

Answer:

AB = 6

m∠F = 70°

Step-by-step explanation:

1.) This is isosceles, from the angles you can tell

2.) Angles F and D are equal, this is also a form of isosceles

180-40 = 140

140/2 = 70

The inverse of x→y is:​

Answers

Answer:

This is invertible

Step-by-step explanation:

pls give brainliest!

have a great day!

How much are your fixed expenses for the month?
Monthly Expenses
Mortgage
$897.00/month
Clothing
$96.00/month
Food-restaurants
$56.00/week
Telephone
$33.95/month
A. $1,082.95
B. $1,250.95
OC. $1,154.95

Answers

Answer:

The correct answer is B. $1,250.95.

Step-by-step explanation:

Given that I have monthly mortgage expenses for $ 897.00 / month, clothing for $ 96.00 / month, food and restaurants for $ 56.00 / week, and telephone for $ 33.95 / month, to determine how much are my fixed expenses for the month, the following calculation must be performed:

897 + 96 + (56 x 4) + 33.95 = X

897 + 96 + 224 + 33.95 = X

1,250.95 = X

So, my fixed expenses for the month are $ 1,250.95.

Answer:

$930.95

Step-by-step explanation:

just took the test

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