The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 56 and a standard deviation of 10. Using the empirical rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 36 and 86?

Answers

Answer 1

Answer:

97.35%

Step-by-step explanation:

Empirical rule formula states:

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

From the question, we have the mean of :

Mean of 56 and a standard deviation of 10.

For 36

36 = μ - xσ

36 = 56 - 10x

56 - 36 = 10x

20 = 10x

x = 20/10

x = 2

Hence, the data falls within 2 standard deviation of the mean

Hence, since it is one side,

= 95%

= 47.5%

For 86

86 = μ - xσ

86 = 56 - 10x

56 - 86 = 10x

-30 = 10x

x = -30/10

x = -3

Hence, the data falls within 3 standard deviation of the mean

Hence, since it is 99.7% one side,

= 99.7%

= 49.85%

Hence, we add up

= 47.5% + 49.85%

= 97.35%

The approximate percentage of 1-mile long roadways with potholes numbering between 36 and 86 is 97.35%


Related Questions

Is y=-x proportional?

Answers

Answer:

Yea

Step-by-step explanation:

Yes because it’s proportional lol

-9 more than a number results in -20

Answers

Answer:

-11

Step-by-step explanation:

-20-(-9)= -11

ellie is preheating her oven before using it to bake. the initial temperature of the oven is 65° and the temperature will increase the rate of 10° per minute after being turned on what is the temperature of the oven six minutes after being turned on what is the temperature of the oven t minutes after being turned on

Answers

Answer:

The temperature six minutes after being turned on is 125°.

T(t)= 65° + t * 10°

Step-by-step explanation:

Linear Equations

Ellie sets the temperature of the oven to 65°. The oven will increase the temperature at 10° per minute after being turned on.

After the first minute, the temperature of the oven is

65° + 10° = 75°

After the second minute, the temperature is:

65° + 2*10° = 65° + 20° = 85°

The same pattern goes on after minute 6, where the temperature is:

65° + 6*10° = 65° + 60° = 125°

The temperature six minutes after being turned on is 125°.

The general formula can be deducted for any time t as:

T(t)= 65° + t * 10°

Use the information to complete the task.
The ratio of fluid Ounces of milk to fluid Ounces of water in a soup recipe is 3 to 4.
Use the ratio to complete the table. Enter the answer in each box.
Milk (fluid Ounces) Water (fluid ounces)
9
28
27
60

Answers

Answer:

Step-by-step explanation:

3:4

9:12

28:37.3

27:36

60:80

Smith & Johnson produces a variety of men’s clothing. Their highest selling items are their fitted dress shirts. The profit earned from the sale of these shirts can be modeled by the expression -20x2+1,800x, where x is the price of one dress shirt. If p is the maximum profit earned from the sale of the dress shirts, write an equation that shows how the expression can be rewritten to model the price at which the shirts should be set in order to maximize profit.

Answers

Answer:

 P=x(-x+90)

Step-by-step explanation:

Step one:

given

Price

[tex]P= -20x^2+1800x[/tex]

where P is the maximum profit

           x is the price of one shirt

Step two:

To rewrite the expression let us first divide through by 20

[tex]P= \frac{-20x^2}{20} +\frac{1800x }{20}\\\\P=-x^2+90x[/tex]

Factoring x out we have

[tex]P=-x^2+90x\\\\P=x(-x+90)[/tex]

Hence the rewritten expression equation for the price is

P=x(-x+90)

Evaluate the function f(x) = 2x + 8 when x= 6 .

A 28
B 96
C None of the other answers are correct
D 16
E 20​

Answers

Answer:

-1 or f =   1.333333333 + 0.3333333333x

is what i got  its not an answer so im sorry

Step-by-step explanation:

Simplifying

f(6) = 2x + 8

Reorder the terms for easier multiplication:

6f = 2x + 8

Reorder the terms:

6f = 8 + 2x

Solving

6f = 8 + 2x

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by '6'.

f = 1.333333333 + 0.3333333333x

Simplifying

f = 1.333333333 + 0.3333333333x

Answer:

Answer is 28

Step-by-step explanation:

Had the same question and answer was 28 you can thank me later :D

20 POINTS AND WILL GIVE BRAINLIEST IF MORE THAN ONE ANSWER!
Find the amplitude, the EoA=y, the period, and the phase shift in terms of cosine for this graph.

Answers

Answer:

Step-by-step explanation:

or

Step-by-step explanation:

has:

1) amplitude=|a|

2) phase shift=b

3) period=2pi/c

d) vertical shift=d

--------------------------------------------------

You are given the amplitude is 2. This means a could either be 2 or -2.

You are given phase shift is -1/8. This means b is -1/8.

You are given the period is pi. So we need to solve pi=2pi/c.

pi=2pi/c

Dividing both sides by pi gives:

1=2/c

Multiply both sides by c gives:

c=2

The vertical shift is -2 so d=-2.

The equation could either be:

y=2cos(2(x-(-1/8)))-2

or

y=-2cos(2(x-(-1/8)))-2

Simplifying a little gives:

y=2cos(2x+1/4)-2

y=-2cos(2x+1/4)-2

3. Nicole has $17.50. Her grandmother gave
her $53.12 for her birthday. She then buys
a computer game that costs $37.25. How
much money does she have left?
E

Answers

Answer:

33.37

Step-by-step explanation:

Answer:

Nicole has $33.37 left

Step-by-step explanation:

($17.50+$53.12)-$37.25=$70.62-$37.25=$33.37

what is the value of K?

Answers

Answer: its A

Step-by-step explanation:

Because

hii this is geometry please help!!

Answers

Answer:

40

Step-by-step explanation:

The Interior of a triangle adds up to 180. 180 - 90 - 50 = 40

Help I mark brainliest

Answers

Answer:

[tex]-\frac{1}{5} t^{15}[/tex]

Step-by-step explanation:

sry if im wrong

()()PLZZ HELP MY PARENTS SAID I CANT CELEBRATE THANKSGIVING IF THI ISNT DONE PLZZZ HELP IM GIVING 25 DOLLAR AMAZON CARD TO WHOEVER HELP AND DOES ALL OF THESE + 100 POINTS +BRAINLIEST

Answers

Send me your email and I’ll email it to you.

Write the equation of the line that passes through the points (-6, -9) and
(7,7). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.

Answers

Answer:

y - 7 = 16/13(x - 7)

General Formulas and Concepts:

Alg I

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

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

Step-by-step explanation:

Step 1: Define

Point (-6, -9)

Point (7, 7)

Step 2: Find slope m

Substitute:                   [tex]m=\frac{7+9}{7+6}[/tex]Add:                             [tex]m=\frac{16}{13}[/tex]

Step 3: Write equation

y - 7 = 16/13(x - 7)

What is the value of the expression below?
8:2+6.5

Answers

Answer:

34

Step-by-step explanation:

8/2 = 4

6 times 5 = 30

4 + 30 = 34

ANSWER : 14.7
EXPLANATION :
8.2
6.5
——-
14.7

Will give brainliest to right answer!!!

Answers

Answer:

f = 2

Step-by-step explanation:

Hope this helps you! :3

Answer:

f = 2

Step-by-step explanation:

2+1.25f = 10 - 2.75f

Add 2.75f to both sides

2 + 4f = 10

Subtract 2 on both sides

4f = 8

Divide by 4 on both sides to isolate the variable f

f = 8/4

f = 2

Someone plz help. I added a screenshot shot below

Answers

Answer:

Juan's Plan

y = .25x+12.95

where y is cost and x is minutes

Tiffany's Plan

y = .15x+14.95

where y is cost and x is minutes

...

Set the cost equal and find where x is the same for both.

.25x+12.95 = .15x+14.95

Group x variables to one side of the equation

.25x + 12.95 - 12.95 - .15x = .15x - .15x + 14.95 - 12.95

.25x - .15x = 14.95 - 12.95

.1x = 2

x=20 minutes

How many solutions does r > 5 have?

Answers

Answer: It can have infinite

Step-by-step explanation:

because numbers never finish

im doing an escape do you think you can help me with the riddle? Who Am I?

I am a member of the Patuxet tribe. I taught the English settlers how to survive the harsh American wilderness. It helped that I spoke the English language. So, I could act as an interpreter between the pilgrims and the native americans. My people taught them how to find medicinal plants, build wigwams, and use fish for fertilizer. Most people know me by ______, but I am also known as Tisquantum.

Answers

Answer:

Squanto

Step-by-step explanation:

They were known as Tisquantum, and knew how to speak English. They were essentially the translator between the native americans and the English

question in the picture!


looking for the answer of 1) by the way! :))

Answers

the answer is 1/2 or 0.5
1/2 or 0.5 as 50% equals that. good luck

which expression can be an integer when simplified? i will give so many points and brainliest plz answer!
a.6^-3/6^-1
B. 12^-2/12^2
C. 2^-10 x 2^3
D. 4^7 X 4^-2

Answers

Answer:

D

Step-by-step explanation:

when simplify 4^7, using a calculator, you get 16384. When you simplify 4^-2 , you get 0.0625. When multiplied together, the total is 1024, which is an integer. Answer a, b, and c were not integers, because when multiplied or divided, the answer was less than zero and showed up as a decimal starting with 0.*** . An integer is defined as any whole number, and not a fraction, therefor D is the only correct answer.

Answer:

D fs

Step-by-step explanation:

110=-8(2x+9)-3 this is urgent HELP​

Answers

Answer:

∴x=-11.5625

Step-by-step explanation:

110 = -8 (2x+9 ) -3

110 = -16x - 72 -3

185 = -16x

∴x=-11.5625

Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AJKL= AQRS?
Check all that apply.

O A. HL
B. SAS
O C. LL
O D. HA
D E. LA
F. SSS

Answers

Answer: HL, SAS, LL, SSS

Step-by-step explanation:

its that easy

ΔJKL and ΔQRS are congruent by HL, SAS, SSS, and LL postulates.

Options A, B, C, and F are the correct answer.

What is triangle congruency?

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

LL congruency

Two triangles are said to be congruent under LL congruence if they have two pairs of corresponding sides that are equal in length and the included angles between these pairs of sides are also equal.

HL congruency

If two right triangles have the same hypotenuse and one corresponding leg, then the two triangles are congruent (have the same shape and size).

Now,

The two triangles are right triangles.

So,

From the definition of congruency, we can say,

ΔJKL and ΔQRS are congruent by:

HL, SAS, SSS, and LL.

Thus,

ΔJKL and ΔQRS are congruent by HL, SAS, SSS, and LL postulates.

Learn more about triangle congruency here:

https://brainly.com/question/12413243

#SPJ7

a department store credit card advertises no payments for 2 years on purchases what they do not advertise is the interest is compounded continuously for those two years at an annual rate of 19.7 %if you make a purchase for 550 and make no payments for 2 years how much would you owe at the end of those two years ​

Answers

Answer:

o very easy hahaha I should tell step by step or shortcut

The sum of two consecutive integers is two more than the third integer. Find the integers

Answers

Answer:

              3, 4, 5

Step-by-step explanation:

x        - the first integer

x+1   - the next integer consecutive to x (the second consecutive integer)

x + x+1    - the sum of two consecutive integers

x+1+1=x+2 - the integer consecutive to x+1 (the third consecutive integer)

x+2 + 2  - two more than the third integer

x + x+1  = x+2 + 2

2x + 1 = x + 4

x + 1 = 4

 x = 3

x+1 = 3+1 = 4

x+2 = 3+2 = 5

If you have a square with a perimeter of 18 inches, what is the area of the square after
scaling it by 7? Round to the nearest tenth is needed.

Answers

Answer:

992.3 in^2 to the nearest tenth.

Step-by-step explanation:

The new perimeter will be 7*18 = 126 inches.

So the side of the new square will be 126/4 = 31.5 inches,

and  it's area = 31,5^2

= 992.25

Need Help with Polynomials
Tell Whether each expression is Polynomial
1. -45
2. 2/x
3. 5 + 3x^2
4. 8 + y
5 2x^2 + xy + y^3
6. 3a^3 - 4a^2 - 5
7. x^2/12
8. -m^2 - 4m + 9
9. 9a^5b^4 + 3a^3b^2 + 8
10. 14a^2b^3c^3d^4
11. 8x^3 - 5x^2 + 3
12. 15/x^2 + 3x
13. -10a^2b^7 + 3c
14. 2m^3 - 2m + 3
15. x^3 + 3y^3 + z^3

Answers

Answer:

1. yes all yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

to be honest there is a handbook you can look at for the anwsers its a student handbook

6- 4(2r - 5) < 26 - 8r
This is algebra

Answers

Answer:

r>1

Step-by-step explanation:

6-4(2r-5)<26-8r do () first

6-8r+20<26-8r subtract 6 from both sides

-8r+20<20-8r Since this is the same on both sides, r>1 to make the equation not come out as 0

WHAT IS 817373763647837466367828390487273839288738939393872803928 Factorial

I WILL GIVE BRANLIST.

Answers

Answer: No one will ever know that

Step-by-step explanation:

Seriously even Google doesn’t know it

What is 6000 times 8000 plus 3000-20

Answers

The answer is 65880000 and here are the steps

Answer:

48,002,980

Step-by-step explanation:

Have a good day

solve for w and simplify the answer

Answers

Answer: w=20/3

Step-by-step explanation: start by multiplying -3/2 by 2 and multiply -10 by 2 as well. you would get -3w = -20. divide both sides by -3 and you’ll get 20/3.

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