The time X it takes Hattan to drive to work on a randomly selected day follows a distribution that is approximately Normal with mean 15 minutes and standard deviation 6.5 minutes. Once he parks his car in his reserved space, it takes 5 more minutes for him to walk to his office. Let T = the total time it takes Hattan to reach his office on a randomly selected day, so T = X + 5. Describe the shape, center, and variability of the probability distribution of T.

Answers

Answer 1

Answer:

Shape: Approximately Normal

Center: 20 minutes

Variability: 6.5 minutes.

Answer 2

Using statistical concepts, it is found that the distribution is normal, with mean (center) of 20 minutes, and standard deviation of 6.5 minutes.

When a constant is added to a normal variable, the distribution remains normal and the standard deviation remains constant, while the constant is added to the mean.

In this problem, a constant of 5 minutes is added to a normal variable with mean of 15 minutes and standard deviation of 6.5 minutes, hence, the distribution is:

Normal, with mean (center) of 20 minutes, and standard deviation of 6.5 minutes.

A similar problem is given at https://brainly.com/question/20713526


Related Questions

|-3/4+1/8|- (2/3+1/6)

Answers

Answer:

-5/24

Step-by-step explanation:

-3/4 = -6/8

-6/8 + 1/8 = -5/8

|-5/8| = 5/8

2/3 = 4/6

4/6 + 1/6 = 5/6

5/8 - 5/6  =  15/24 - 20/24

15/24 + (-20/24) = -5/24

12 POINTS PLEASE HELP

Answers

Answer:

y = 10

m<C = 40

m<D = 76

Step-by-step explanation:

(7y + 6) + 4y = 116

11y + 6 = 116

y = 10

plug in y into the equations to get the angle

m<C = 40

m<D = 76

PLEASE HELP
I WILL GIVE BRAINLIST

Answers

Answer:

64

Step-by-step explanation:

cut triangle on right then on left you have 4x4 and then for right you have 2x2 then multiply them together and get 64

6 more than 7 times 3 ?

Answers

Answer:

27

Step-by-step explanation:

Can someone Help me please ?

Answers

9514 1404 393

Answer:

  1)  c, f

  2) a, e

  3) b, d

Step-by-step explanation:

If you think about the units associated with a coordinate (feet, for example), then you may recognize the following

a) each difference is of "feet", so each difference will have units of "feet". The ratio of "feet" to "feet" cancels the units, leaving a pure number. In this case, it is called "steepness" in selection e. Steepness is given by the slope formula (2).

__

b) The difference in parentheses has units of "feet" (as in (a)), so the square will be "square feet". The sum of two of those will still be "square feet" and the square root of that will be "feet". The units of the formula are those of distance, or length, matching selection d. Distance is given by the distance formula (3).

__

c) The form shown is an ordered pair. That is the same as the representation of a coordinate point, selection f. Coordinates of a point are given by the midpoint formula (1).

which answer is equivalent to √ 25/√ 49​

Answers

Exact Form:

5/7

Decimal Form:

0.7142

How many phone numbers (without area codes) are possible? The first digit cannot be 0 or 1.

Answers

Answer:

Step-by-step explanation:

For the first digit, there are 8 numbers to choose from (2, 3, ..., 9).

For each remaining digits, there are 10 numbers to choose from (0, 1, ..., 9).

Choose 6 of them. Repetition is allowed, and order matters.

There are 10⁶ possible choices.

There are 8×10⁶ possible phone numbers.

Norma and Jane go to the store to buy stocking stuffers. Norma spends $8 more than Jane. Total, Norma and Jane spend $52. How much did each girl spend?

Answers

Answer:

Norma spent $30

Jane spent $22

For each of the following propositions, identify simple propositions, express the compound proposition in symbolic form, and determine whether it is true or false: The world is flat or zero is an even integer. If 432,802 is a multiple of 4, then 432,802 is even. 5 is a prime number and 6 is not divisible by 4. 3 ∈ Z and 3 ∈ Q . 2 / 3 ∈ Z and 2 / 3 ∈ Q . The sum of two even integers is even and the sum of two odd integers is odd.

Answers

Answer:

a) True

b) True

c) True

d) True

e) False

f) False

Step-by-step explanation:

a) The world is flat or Zero is an even Integer

simple proposition : it is a compound interestexpressing compound proposition in symbolic form : p v q  ;  where p = world is flat and q = Zero is an integerIt is a true statement

B )  If 432,802 is a multiple of 4, then 432,802 is even

simple proposition : It is a compound statement expressing compound proposition in symbolic form : p ⇒ q  ; where p = 432,802 is a multiple of 4  and q = 432,802 is evenp         q      p ⇒ q      hence statement is true

       F          T        T

C)  5 is a prime number and 6 is not divisible by 4

simple proposition : it is a compound statementsymbolic form ; p ∧ q

where p = 5 is a prime number  and q =  6 is not divisible by 4

statement is true

D)  3 ∈ Z and 3 ∈ Q

simple proposition : it is a compound statementsymbolic form :  p ∧ q

where p =  3 ∈ Z   and q = 3 ∈ Q

statement is true

E)  2 / 3 ∈ Z and 2 / 3 ∈ Q

simple proposition : It is a compound statementsymbolic form :  p ∧ q

where  p =  2 / 3 ∈ Z ( false )   and q = 2 / 3 ∈ Q ( true ) hence p ∧ q = false

statement is false

F) The sum of two even integers is even and the sum of two odd integers is odd.

simple proposition : It is a compound statementsymbolic form : p ∧ q

where  p = The sum of two even integers is even and q = the sum of two odd integers is odd.

statement is false

f(x)=-x^(2)-2x-5 , -5

Answers

Step-by-step explanation:

Needs more detail unable to answer

Please help!!! 10 points for it!!

Answers

Answer:

Step-by-step explanation:

x = 180 - ((180-96)+(180-130))

x = 180 - (84+50)

x = 46°

Answer:

x = 46 degrees

Step-by-step explanation:

180 - 130 = 50

180 - 96 =  84

50 + 84 = 134

180 - 134 = 46

PLZ SOLVE PIC ATTACHED BELOW

Answers

Answer:

[tex] \tan(51°) = \frac{10}{x} \\x = \frac{10}{ \tan(51°) } \\ x = \frac{10}{1.235} \\ \boxed{ x = 8.1}[/tex]

★ Value of x is 8.1.

[tex] \sin(51°)= \frac{10}{H} \\ h = \frac{10}{ \sin(51°) } \\ H= \frac{10}{0.777} \\ \boxed{H= 12.8676}[/tex]

★ Value of H is 12.8676.

Remember:

tan∅=Perpendicular/Basesin∅=Perpendicular/Hypotenuse

Which graph represents this system of equations?
y + 2x = 3
y + 2 = 3x

Answers

Answer:

The options are not given, so i will answer in a general way.

First, we have the system:

y + 2*x = 3

y + 2 = 3*x

To graph this system, the easier way is writing both equations as linear equations, like:

y = -2*x + 3

y = 3*x - 2

Now we just need to graph these two lines in the same coordinate axis.

To do it, we can replace the value of x by two different values in each equation, and see the correspondent value of y for these values. Then graph the two points, and draw a line that connects them.

For example, for the first equation if we have x = 0, we have:

y = -2*0 + 3

y = 3

Then we have the point (0, 3)

and if x = 1

y = -2*1 + 3 = 1

y = 1

we have the point (1, 1)

Now we only need to graph these points, and draw a line that passes through them.

Once we did this for both lines, the graph we will get will look something like the one above.

And the point where the lines intersect is the solution of the system of equations.

Which is the point (1, 1)

it takes 4 workers 21 hours to landscape a park how many hours does it take 3 workers?

Answers

7 hoursssssssssssssssss

f(n)=n^2-4;find (-1)

Answers

Answer:

-5

Step-by-step explanation:

f(-1) = -1^2 - 4

f(-1) = -1 - 4

f(-1) = -5

Giovanni started a new job and decided to open a bank account with $10. Each week he will deposit $8 from his pay to the account. Which of the following recursive formulas can be used to model the total amount of money in Giovanni's account?

Answers

Answer:

an=an−1+10, where a1=8

Step-by-step explanation:

it is

Answer:

an=an−1+10 , where a1=8

Step-by-step explanation:

I just took the test and I got it right!! :)

One teacher wants to give each student 13/8 slices of pizza. If the
teacher has 22 slices of pizza, then how many students will she be able to
hand out pizza to?
HELP

Answers

i think its 13.5 jdjdiwiw

Answer:

I think it's 18 students

Step-by-step explanation:

I used division. Hope this helps

Which power of 2 is equal to the expression below?

____________________
| |
| (23)-2 |
|____________________|

A.) 25
B.)2-1
C.)21
D.)2-6​

Answers

D I think I really don’t know

Solve the system of equations, y = x – 3 and y = –2x + 6, using the substitution method.
(no answer choices)

Answers

Answer:

x=9

Step-by-step explanation:

-2x+6=x-3

-1x+6=-3

-1x=-9

divide both sides by -1

x=9

hope this helps

Answer:

(3, 0)

Step-by-step explanation:

Given system:

y = x – 3 and y = –2x + 6

Substitute y and solve for x:

x - 3 = -2x + 6x + 2x = 6 + 33x = 9x = 3

Find y:

y = x - 3 = 3 - 3 = 0

Solution is:

(3, 0)


Find the equation of the linear function represented by the table below in slope-
intercept form.

Answers

Answer:

[tex]y = x +2[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the equation

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (-3,-1)[/tex]

[tex](x_2,y_2) = (1,3)[/tex]

So, we have:

[tex]m = \frac{3 - (-1)}{1 - (-3)}[/tex]

[tex]m = \frac{3 +1}{1 +3}[/tex]

[tex]m = \frac{4}{4}[/tex]

[tex]m =1[/tex]

The equation in slope intercept form is calculated using

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 1(x - (-3)) -1[/tex]

[tex]y = 1(x +3) -1[/tex]

[tex]y = x +3 -1[/tex]

[tex]y = x +2[/tex]

maria and emme each had 4 pints of paint on the first day of painting maria used 3/5 of her 4 pints amd emma used 3/4 of her 4 pints of paint altogether how much of maira and emma paint remained altogether how much of maria and emme paint remained after the first day of painting




HEELLPP ME PLZZZ

Answers

Answer:

[tex]\frac{13}{5}[/tex] pints of paints are left together

Step-by-step explanation:

Given

Number of pints of paint with Maria [tex]= 4[/tex]

Number of pints of paint with Emme [tex]= 4[/tex]

On the first day , Maria used [tex]\frac{3}{5}[/tex] of her [tex]4[/tex] pints of paints

Hence, Paint left after first day with Maria

[tex]= 4 - (\frac{3}{5} * 4)\\= \frac{20 - 12}{5} \\= \frac{8}{5}[/tex]

On the first day , Emme used [tex]\frac{3}{4}[/tex] of her [tex]4[/tex] pints of paints

Hence, Paint left after first day with Emme

[tex]= 4 - (\frac{3}{4} * 4)\\\\= 4-3\\= 1[/tex]

Total pint of paint left with both Maria and emme altogether

[tex]= 1 + \frac{8}{5}\\= \frac{5+8}{5} \\= \frac{13}{5}[/tex]

what are three things in Canada measured in metric system

Answers

Answer:

meter,liter and gram metric system

Answer:

The metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass) respectively.

The graph of the reciprocal parent function, f(x) = 1, is shifted 5 units up
and 8 units to the left to create the graph of g(x). What function is g(x)?

Answers

Answer:

A.  1/(x + 8) + 5.

Step-by-step explanation:

Staring with 1/x a shift up of 5 units makes it 1/x + 5.

A shift of 8 to the left makes it 1/(x + 8) + 5

Jason used 0.5 cups or kernels to make 16 cups of popcorn. How many cups of popcorn would he make if he used 0.75 cups of kernels?

Please explain answer

Answers

Answer:

24 cups of popcorn

Step-by-step explanation:

Let x represent the number of cups of popcorn that can be made from 0.75 cups of kernels. We know that 0.5 cups of kernels is used to make 16 cups of popcorn. Therefore, to calculate the number of cups of popcorn that can be made from 0.75 cups of kernels we use the equation:

x / 0.75 cups of kernels = 16 cups of popcorn / 0.5 cups of kernels

multiplying through by 0.75 cups of kernels gives:

(x / 0.75 cups of kernels) * 0.75 cups of kernels = (16 cups of popcorn / 0.5 cups of popcorn) * 0.75 cups of kernels

x = 24 cups of popcorn

The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below: Step 1: 8+12x Step 2: 4(4) +4(8x) Step 3: 4(4+8x) Step 4: Dimensions of the rectangle are 4 and 4+8x In which step did the student first make an error and what is the correct step?

a. Step 2;4(2)+4x(2)
b. Step 2;4(2)+4(3x)
c. Step 3;4+(4+8x)
d. Step 3;4+(4•8x)

PLEASE LEAVE EXPLENATION!! :)

Answers

Answer:

Step (2) is incorrect.

Step-by-step explanation:

The area of a rectangle is given by :

A = length × width

Area = 8+12x

Width = 4

Step 1: 8 + 12x  

Step 2: 4(2) + 4(3x)  

Step 3: 4(2 + 3x)  

Step 4: Dimensions of the rectangle are 4 and 2 + 3x.

It means he has done a mistake in step (2). The correct step should be 4(2) + 4(3x).

Match each simplified form to it's equivalent radical expression. Tiles: 4√3, 3 3√2, 2 3√3, 3√5

Pairs

3√24

√48

3√54

√45

Answers

Answer:

Step-by-step explanation:

Given the following simplified expressions:

4√3, 3 3√2, 2 3√3, 3√5

It's radical equivalent is :

4√3 = √4² * √3 = √16 * √3 = √16*3 = √48

3 3√2 = 3 * √3² * √2 = √9 * √2 = √9*2 = 3√18

2 3√3 = 2 * √3² * √3 = √9 * √3 = √9*3 = 2√27

3√5 = √3² * √5 = √9 * √5 = √9*5 = √45

Answer:

answer attached

Step-by-step explanation:

hope this helps!

Given O that is the center of the circle below, compare the quantity in column A with the quantity in column B.
Choose the best answer

A.The quantity in column A is greater
B.The quantity in column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

Answers

Answer:

the answer is b

Step-by-step explanation: edge 2020

Answer:

C. The two quantities are equal

Step-by-step explanation:

Edge 2020 2021

please help me in this homework :)

Answers

Answer:

la distancia que hay entre ellos es de 50+30=80km

Step-by-step explanation:

HELP HELP HELP HELP PLEASE PLEASE !!!!!

Answers

Answer:

Correct answer would be 84/12=7

Step-by-step explanation:

Reason being , Its asking the "product" Of Julies score (7)

If you divide 84 /7 it will be =12

since its already giving you what its equal you would flip it and it would be 84/12

Maggie earns $20 each time she babysits. If she babysits 8 times, how much money did she earn?
The solution is

Answers

Answer:

160  minutes

Step-by-step explanation:

20 every time

8 times

20 times 8 = 160

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