5. In one year, there were 125 major new automobile types available. If you look at the miles per gallon (MPG) for these vehicles, the distributions are roughly normal. The means and standard deviations are given by:

Mean Standard Deviation

City MPG 22.37 4.77

Highway MPG 29.09 5.46


a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?



b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?

5. In One Year, There Were 125 Major New Automobile Types Available. If You Look At The Miles Per Gallon

Answers

Answer 1

Answer:

a. 0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic

b. 89.06% of cars are likely to have a better city gas mileage than the Continental

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?

For Highway, we have that [tex]\mu = 29.09, \sigma = 5.46[/tex]

This probability is the pvalue of Z when X = 45. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 29.09}{5.46}[/tex]

[tex]Z = 2.91[/tex]

[tex]Z = 2.91[/tex] has a pvalue of 0.9982

1 - 0.9982 = 0.0018

0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic.

b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?

City means that [tex]\mu = 22.37, \sigma = 4.37[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 17. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{17 - 22.37}{4.37}[/tex]

[tex]Z = -1.23[/tex]

[tex]Z = -1.23[/tex] has a pvalue of 0.1094

1 - 0.1094 = 0.8906

0.8906 = 89.06% of cars are likely to have a better city gas mileage than the Continental


Related Questions

need please solving for x​

Answers

Answer:

x = 15

Step-by-step explanation:

Corresponding sides of similar shapes are proportional to each other. Thus:

(10 + 2)/10 = (x + 3)/x

12/10 = (x + 3)/x

Cross multiply

12*x = (x + 3)*10

12x = 10x + 30

12x - 10x = 30

2x = 30

x = 30/2

x = 15

What is the cos(65)?

Answers

= 0.4226182617, or 0.423 if rounded to 3 d.p

I need to get this right man

Answers

What is that little number next to the four

64x = 8.
What is the value of x that makes the equation true?
Enter the correct answer in the boxes.
2

Answers

Answer:

x = 1/8

Step-by-step explanation:

The value of x is 1/8.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

64x = 8

Solve for x.

64x = 8

Divide both sides with 64.

x = 8/64

x = 1/8

Thus,

The value of x is 1/8.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

if x = 2 and y = 6 , evaluate the following expression:

100-3(3y-4x)

(Tricky question, so be careful, not as obvious as it seems)
(NO LINKS OR I WILL REPORT)

Answers

The answer is 70
According to ur question

Find GH. What does GH equal?

Answers

Answer: GH = HJ = 4.6

Step-by-step explanation:

Answer: GH = HJ = 4.6

If you can solve it please tell me (20 points)​

Answers

Answer:

D E false, F true

Step-by-step explanation:

The radius of a chord and a tangent line are_ at the point of tangency

Answers

Answer:

fine

cause of it's fine point of tangency

What is the slope-intercept equation of the following line?

Answers

Answer:

Hi Joanna,  what do you find difficult about this problem?  Just wondering

Step-by-step explanation:

? = 2

the grey box is 7

ask me if you want to know how I got those :)

What is the value of v? (help no links and thx)

Answers

Answer:

74.7

Step-by-step explanation:

i get a 25% discount (means decrease) at macys store. if i find a dress i like for $80, how much will i have to pay for it?​

Answers

Answer:

you will pay $60

Step-by-step explanation:

25% (1/4) of 80 is 20

subtract 20 from the total (80)

80 - 20 = 60

$60

Answer:

60

Step-by-step explanation:

So if you get 25% off, you're basically paying 75%.

So first, convert the percentage to a decimal:

75% = 75/100 = 0.75

Now just multiply the decimal by the total cost:

80$ (0.75) = $60

An airplane is flying 4 miles directly over your house. The distance between your house and the airport is 12 miles. How far apart are the airplane and the airport?

Answers

Answer:

c=7.180 miles. 2. Jack is on one side of a 200-foot-wide canyon and Jill is on the other. Jack and Jill can both ... a=2.947 miles. 5. Airplane A is flying directly toward the airport which is 20 miles away. The pilot notices ...

Junior's brother is 1 1/2
meters tall. Junior is 1 1/5
of his brother's height.
How tall is Junior?

Answers

Answer:

Step-by-step explanation:

1 1/5 of 1 1/2 meters  

= (1+1/5) x (1+1/2)  

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2  

= 1 + 1/2 + 1/5 + 1/10  

= 1 + (1x5+1x2+1)/10  

= 1 8/10  

= 1 4/5 meters

Answer:

1 4/5 meters

Step-by-step explanation:

1 1/5 of 1 1/2 meters  

= (1+1/5) x (1+1/2)  

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2  

= 1 + 1/2 + 1/5 + 1/10  

= 1 + (1x5+1x2+1)/10  

= 1 8/10  

= 1 4/5 meters

math pre calc, transformation of radical functions
PLEASE HELP GOT TO HAND THIS IN SOON IM CONFUSED.
I WILL VENMO ANYONE WITH GOOD ANSWERS ​

Answers

Answer:

Im pretty sure you can just search this up number by number and you will find all the answers

A rectangle has an area of 198 square meters and a width of 9 meters.

What is the length of this rectangle?

Answers

Answer:

The length of the triangle is 22.

Step-by-step explanation:

Area = width*length

length = area/width = 198/9 = 22

john takes a small business loan
for $18,000. the term for
repayment is 60 months and
the annual interest rate is 5.25%.
using the monthly payment
formula, what is the estimated
monthly payment?

Answers

9514 1404 393

Answer:

  $341.75

Step-by-step explanation:

You have not provided the formula, so we'll use one we like:

  A = P(r/12)/(1 -(1 +r/12)^(-n)) . . . . principal P, annual rate r, n months

  A = $18,000(0.0525/12)/(1 -(1 +0.0525/12)^-60) ≈ $341.75

The monthly payment is about $341.75.

How do I solve this?​

Answers

9514 1404 393

Answer:

  b=-9

  intersection point (3, -3)

Step-by-step explanation:

There are a couple of ways to do this. The method that does not involve calculus is to set the two equations equal and find 'b' such that there is exactly one solution.

  x^2 -4x = y = 2x +b

In standard form, this is ...

  x^2 -6x -b = 0 . . . . . . . we call this the "combined quadratic"

This will have one solution when the discriminant is zero. You may recall that the discriminant of quadratic ax^2 +bx +c is d = (b^2-4ac). We want ...

  d = (-6)^2 -4(1)(-b) = 0

  36 +4b = 0 . . . . . simplify

  b = -36/4 = -9 . . . solve for b

Then the linear equation is ...

  y = 2x -9

__

If the discriminant is zero, the solution to the "combined quadratic" is ...

  x = -b/(2a) . . . . . . . . with a, b, c from the quadratic form (not y-intercept)

  x = -(-6)/(2(1)) = 3

And the point of intersection of the line and the parabola is ...

  y = 2(3) -9 = -3   ⇒   (x, y) = (3, -3)

__

The graph is attached.

Sammy draws 3 identical rectangles on his paper. If each rectangle has a base of 15 cm and a height of 12 cm, what is the total area of all 3 rectangles added together?​

Answers

Answer:

540

Step-by-step explanation:

If you do 15x12 which is the formula for area for a rectangle, you get 180. That's only the area of one rectangle but if you multiply it by 3 you get 540 for the areas added together.

Answer:

540 cm

Step-by-step explanation:

you multiply 15 x12 If you are getting an area 15 x12=180 then you multiply 180 by 3  180x3=540 I think

HELP ME PLAESE I HAVE ASKED THE QUESTION LIKE 5000000 TIMES AND HAVE USED UP ALL MY POINTS, THE LEAST SOMEONE CAN DO IS JUST TRY PLSSSSS


Will choose brainliest :)

Answers

Answer:

try c.

Step-by-step explanation:

i hope this is the answer, good luck!

Determine the length of UT.

Answers

I think the answer would be 20

A class consists of 1/2 freshmen, 1/8 sophomores, and 1/8 juniors; the rest are seniors. What fraction of the class is seniors?

Answers

Answer:

2/8 are seniors

Step-by-step explanation:

one half = 4/8

4/8 + 1/8 + 1/8 = 6/8.

What's left is 2/8

A veterinarian in Camperville zoo needs to weigh the big bear. Which would be the most appropriate unit of measure?
A. meters
B. kilograms
C. liters
D. cups

Answers

Answer:

Kilograms

Step-by-step

A meter is distance

A kilogram is weight

A liter is related to ounces

A cup is how much of something

For which product or quotient is this expression the simplest form? (image attached)! please help :((

Answers

Answer:

D

Step-by-step explanation:

For simplify the work we can start to factorise all the possibles expressions:

2x + 8.

8 is multiple of 2, so it can became

2(x+4)

x^2 - 16 this is a difference of two squares, so it can be rewritten as:

(x+4)(x-4)

x^2 + 8x + 16

we have to find two numbers whose sum is 8 and whose product is 16

the two number are 4 and 4

it becames:

(x+4)(x+4)

x+ 4 can‘t be simplified

if we look at the expression, we can find that x-4 appears at the numerator so

x^2 - 16 must be at numerator

but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option

in fact

(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)

it became

(x+4)(x-4)/2 * 1/(x+4)(x+4)

(x-4)/2(x+4)

Answer:

Step-by-step explanation:

I got 100% on the test

A picture 10 feet long is to be centered on a wall that is 14 feet long. How much space is there from the edge of the wall to the picture?

Answers

Answer:

4 feet is left in the wall

Step-by-step explanation:

If something is 1 foot and it’s supposed to be 2 feet, how much space is left? 1 foot, therefore you have to subtract what you want from what you have.

Answer:

2 ft.

Step-by-step explanation:

14 - 10 = 4.

4/2 = 2

You divide beacuse theres space on botrhsides of the painting.

A plane flying horizontally at an altitude of 1 mi and a speed of 580 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 4 mi away from the station. (Round your answer to the nearest whole number.) mi/h

Answers

Answer:

A plane flying horizontally at an altitude of 1 mi. and a speed of 500 mi ./hr. passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing ex when it is 2 mi. away

Which of the following inequalities is correct​

Answers

B is correct

Converted and written correctly, your options are
A: 12.5 pounds = 200 ounces
B: 490 ounces > 480 ounces (= 30 pounds)
C: 6 tons = 12,000 pounds > 10,000 pounds
D: 8,000 pounds = 4 tons

A grocery store sells a bag of 5 lemons for $3.00. What is the unit cost of each lemon in the bag?

Answers

Answer:

the unit cost of each lemon is $0.60

Step-by-step explanation:

divide 3.00 by 5 to get 0.6

In ADEF, f = 610 inches, e = 590 inches and ZE=70°. Find all possible values of ZF,
to the nearest degree.

Answers

Answer:

"76°" is the appropriate solution.

Step-by-step explanation:

Please find attachment of the diagram according to the given query.

The given values are:

In ΔDEF,

f = 610 inches

e = 590

∠E = 70°

∠F = ?

By using the law of sines, we get

⇒  [tex]\frac{Sin E}{e} =\frac{Sin F}{f}[/tex]

On substituting the values, we get

⇒  [tex]\frac{Sin70^{\circ}}{590} =\frac{SinF}{610}[/tex]

On applying cross multiplication, we get

⇒   [tex]SinF=\frac{610\times Sin 70^{\circ}}{590}[/tex]

On substituting the values, we get

⇒            [tex]=\frac{61\times 0.95969262}{59}[/tex]

⇒            [tex]=\frac{57.3212499}{59}[/tex]

⇒            [tex]=0.971546608[/tex]

now,

⇒  [tex]F=Sin^{-1}(0.971546608)[/tex]

⇒      [tex]=76^{\circ}[/tex]

Medical researchers are studying a certain genetic trait found in two populations of people, W and X. From an independent random sample of people taken from each population, the difference between the sample proportions of people who carried the trait (W minus X) was 0.22. Under the assumption that all conditions for inference were met, a hypothesis test was conducted using the following hypotheses.

H0 : pW=pXHa : pW > p XHo : pW= pX Ha: pW >pX

The p-value of the test was 0.03. Which of the following is the correct interpretation of the p-value?
a. The probability of selecting a person from population W who carries the trait is 0.22, and the probability of selecting a person from population X who carries the trait is 0.03.
b. If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of at least 0.22 is 0.03.
c. If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of 0.22 is 0.03.
d. If the difference in proportions of people who carry the trait between the two populations is actually 0.22, the probability of observing that difference is 0.03.
e. If the difference in proportions of people who carry the trait between the two populations is actually 0.03, the probability of observing that difference is 0.22.

Answers

Answer:

If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of at least 0.22 is 0.03

Step-by-step explanation:

Given the hypothesis :

H0 : pW = pX

Ha : pW > pX

W - X = 0.22

Pvalue = 0.03

Since the Pvalue gives the probability of obtaining a value or result figure which is atleast as extreme as the observed value. The observed value here is 0.22 resulting from the difference in W and X (W - X).

This can thus be interpreted to mean ; going by the Null (difference between W and X) ; the probability of obtaining a value of atleast 0.22 as difference is 0.03

Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = -16t^2 +16t+480

How long did it take Jason to reach his maximum height?

Answers

Answer:

5 seconds

Step-by-step explanation:

I did the same question a while ago.

Other Questions
Please, nobody answered it!!! :C Hello guys, I gotta turn in this and got like a few hours, please help me as soon as possible!! Beth's doll is similar to her own quilt by a ration of 1:6. if the width of her doll's quilt is 11 inches, how wide is her own quilt in inches? Point X (2,-2), k= 1/2HELP ASAP Why was Ngo Dinh Diem an unpopularruler? Mendel was a careful researcher who studied the inheritance of certain traits in garden peas. What are some of the research practices Mendel used? Choose all that apply.A. He crossed true-breeding pea plants.B. He allowed eggs to be fertilized only by self-pollination.C. He analyzed his data mathematically.D. He controlled variables by studying one or two traits at a time. I need help What is y Covert 50 F to C C = ( 50 -32) 3. The largest sled dog is the A Alaskan malamute B Siberian husky C Samoyed D American Eskimo dog please someone answer this what would never be part of an mRNA strand? Literal Equations:Solve the equation for the indicated variable.ac=dr, for c Group of answer choicesc=d+r+a c=dr/a c=dra c=dr+a Which sentence below is a "run-on sentence?The field is too wet and soggy the soccer team's game will be rescheduled.Tina's pants are too long they will have to be hemmed by a tailor.The crowd went wild when Jake hit the ball out the park and ran the bases to homeplate.The bird flew around the yard, squawked at our family eating on the deck, and dove atthe dog A pot of water at 25C is placed over a flame until it has boiled away. Which way is energy being transferred between the system and the surroundings? * Why is the Cuban Missile Crisis the best example of Brinkmanship? Someone please answer this An equation is shown. n+ 5 = 23 What is the value for n that makes the equation true?no links On January 1, one share of stock in the LMNOP Corp was worth $85. ByDecember, it lost 11.6% of its value. What is the new value of one share of LMNOPstock? Solve for a a = 100 What is price discrimination and how do movie theaters and restaurants practice price discrimination?