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?

Answers

Answer 1

Answer:

The answer is "99.82% and 86.99%".

Step-by-step explanation:

In point a:

[tex]=P(X < 45)\\\\= P(Z < \frac{45-29.09}{5.46}) \\\\=P(Z < 2.9139)\\\\=0.9982\\\\=99.82\%[/tex]

In point b:

[tex]=P(X >17)\\\\= P(Z > \frac{17-22.37}{4.77}) \\\\=P(Z > -1.1258)\\\\=0.8699\\\\=86.99\% \\\\[/tex]


Related Questions

1
A bag contains 10 red, 10 blue, 10 green, and 10 yellow M&Ms. An M&M is randomly pulled from the bag and replac
Outcome
Trial
Observed
yellow
2
blue
yellow
red
5
blue
yellow
yellow
3
4
6
7
Which color's observed frequency is closest to its expected frequency?
red
blue
green
O yellow

Answers

Answer:

Blue

Step-by-step explanation:

Expected frequency is:

red 10/40 = 1/4 = 0.25 = 25%

blue 10/40 = 1/4 = 0.25 = 25%

yellow 10/40 = 1/4 = 0.25 = 25%

green 10/40 = 1/4 = 0.25 = 25%

Observed Frequency is:

red 1/7 = 0.14 = 14%

blue 2/7 = 0.28 = 28%              

yellow 4/7 = 0.57 = 57%

green 0/7 = 0.00 = 0%

les diviseurs de 25 sont des diviseurs de 15. Vrai ou faux?

Answers

Answer:

c'est faux parce que 3 n'est pas un diviseur de 25 et c'est pour 15 so not all divisor of 25 sommes diviseur de 15

Make a graph equation with Y-X = 5

Answers

Lets put this in y=mx+b form
First we add x to both sides in order to isolate y
That leaves us with y=x+5 which is your answer.

What is the equation of the line that passes through (5,-2) and (-3, 4)?
3x+4 y-7= 0
3x-4 y-7= 0
0-3x+4 y-7 = 0

Answers

3x-4y-7= 0 is the answer

How many teachers are there in your school? How many male teachers and female

teachers are there?

I) Write the ratio of male teachers to the female teachers.

ii) Write the ratio of male teachers to the total number of teachers.

iii) Write the ratio of total number of teachers to the female teachers.v​

Answers

why are you sad please don't worry I will tell you what to do with me now you know I am what

There are 18 eight graders, 12 seventh graders, and 9 6th graders on the middle school football team. What is the ratio of 6th graders to total players, in lowest terms?

Answers

Answer:

18:39 or 6:13

Step-by-step explanation:

Answer:

3:13

Step-by-step explanation:

the total number of players is 39

the number of 6th graders is 9

the ratio of 6th graders to total players is 9:39

=3:13

Which expression is equivalent to -6 - (-2)−6−(−2)minus, 6, minus, left parenthesis, minus, 2, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A -6+2−6+2minus, 6, plus, 2 (Choice B) B 2+62+62, plus, 6 (Choice C) C -6+(-2)−6+(−2)minus, 6, plus, left parenthesis, minus, 2, right parenthesis (Choice D) D -2 + 6−2+6

Answers

Answer:

(Choice A) A -6+2; minus, 6, plus, 2

Step-by-step explanation:

Which expression is equivalent to -6 - (-2); minus, 6, minus, left parenthesis, minus, 2, right parenthesis? Choose 1 answer: Choose 1 answer:

(Choice A) A -6+2; minus, 6, plus, 2

(Choice B) B 2+6; 2, plus, 6 (Choice C) C -6+(-2); minus, 6, plus, left parenthesis, minus, 2, right parenthesis

(Choice D) D -2 + 6

Given expression:

-6 - (-2)

Note:

- * - = +

+ * + = +

- * + = -

+ * - = -

-6 - (-2)

= -6 + 2

= -4

The correct answer is (Choice A) A -6+2; minus, 6, plus, 2

Peter says that 3/4 of a pizza is always the same as 6/8 of a pizza. Nadia says that while they are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts. Use a counter example to explain who is correct. Please I need your help. If you help you are nice and god will protect you forever.

Answers

Answer:

Nadia

Step-by-step explanation:

6/8 is 3/4 and both are 75% of a pizza but, the eighths of a pizza is a smaller slice of pizza.

4/4 is four slices of pizza

8/8 is eight slices of pizza        

They are different amounts.

please someone help me!!! I don’t really understand what the question is asking! Plz no links, we all know they don’t help. If someone answers clearly, then i’ll give the crown to that person!

Answers

Answer:

D=360  M=288 V=648

Step-by-step explanation:

okay so i’m not the best at this kind of stuff but i need to help someone to get answers

ANSWER QUICK
A backpack is on sale for 15% off the original price of $39.99. What is the sale price?

Answers

Answer:

33.99

Step-by-step explanation:

multiply the original by 100-the sale percentage

(100-15 = 85

.85x39.99

Answer:

$33.99

Step-by-step explanation:

We are given that we have 15%.

What this means is that we subtract 15% from 100%.

Doing that we get 1.00 - 0.15 = 0.85

Therefore the price equals $39.99 * 0.85

The final price is $33.99

COULD SOMEONE PLEASE HELP ME WITH THIS IT'S REALLY IMPORTANT-

Answers

Answer:

b i think

Step-by-step explanation:

Can someone PLEASE HELP

Answers

It’s least to greatest!
The first box is the the first quartile while the second box is the second quartile and well A and E aren’t in the boxes and A is the first for meaning that’s the minimum and E is the last dot meaning it the maximum

Hope this helps!

If the student is a domain/inout and the hair color is the range/output how is these two set of relation not a function?

Answers

Answer:

A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.

Such that each input can be mapped into only one output.

So for example, if we have a relation that maps the input 2 into two different values:

f(2) = 4

f(2) = 8

Then this is not a function.

In the case of the problem, we have a student as the input, and the hair color as the output.

So we will have something like:

f(student) = blond

And if this student decides to change his/her hair color to red?

Then the function becomes:

f(student) = red

So for the same input, we had two different outputs, which means that this is not a function.

We also could have the case where a given student has two colors (Californian for example)

Where again, we would see two different outputs for one single input.

Solve-2(x – 4)2 – 3 = 15 by using the square root property.

Answers

Answer:

[tex]x = -\frac{1}{2}[/tex]

You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 5 and flipping heads? Write your answer as a fraction in simplest form. The probability is .

Answers

Flipping less than 5 is a 4 out of 6 chance. Flipping heads is a 1 out of 2 chance

1. Write the balanced chemical equation for the reaction you are performing.

Answers

Don’t open that link it takes lll your information

ANSWER

Mg+O---->MgO

This is the balanced chemical equation

A musician spends 90 minutes practicing piano and guitar the time spent is 30 minute less than twice the same time spent on guitar which could be a way to find t the time in minutes spent practicing guitar​

Answers

Answer:

The which spends on the piano is( 50 minutes )

The which spends on the guitar is( 40 minutes )

Step-by-step explanation:

The steps of the solution in the above photo

I hope that is useful for you :)

Between which two integers does [tex]\sqrt{11}[/tex] lie?

Answers

[tex]\sqrt{11}=3.31(appx)[/tex]

3.31 lies b/w 3 and 4

Answer:

[tex]\sqrt{11}[/tex] lies between 3 and 4.

Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

The money keeps on decreasing as the days go. As you can see, the dots on the scatter plot keep on getting lower and lower.

Can I get brainliest plzz?

wich is greater 15 or X

Answers

Answer:

x is greater then 15 free nbayoung boy

what wait what’s the question

Do anyone know this? Please no link <3

Answers

Answer:

40 cm

Step-by-step explanation:

Perimeter = the sum of all sides

Triangle GHK has an area of m square units. If the height of the triangle is increased to five times the current height, and the length of the base increased to four times the current length, what will be the area of the larger triangle?

Answers

Answer:

20m square units

Step-by-step explanation:

The area of a traingle  = bh/2............... Equation 1

Where b = lenght of the base, h = heigt of the triangle.

From the question,

The area of triangle GHK = m square units., let the base and the heigth of the triangle be x and y respectively

Therefore,

b = x, h = y

Substitute these values into equation 1

m = xy/2................... Equation 2

If the height of the triangle increase to five times the current height, and the length of the base increase to four times the current length.

Therefore,

height of the larger triangle = 5y, base of the larger triangle = 4x

Substitute these values into equation 1

Area of the larger triangle = (5y×4x)/2

Area of the larger triangle = 20xy/2................. Equation 3

Substitute equation 2 into equation 3

Area of the new triangle = 20m square units.

Given a polynomial f(x), if (x − 3) is a factor, what else must be true?

f(3) = 0
f(−3) = 0
f(0) = 3
f(0) = −3

Answers

Answer:

A

Step-by-step explanation:

Recall that according to the Polynomial Remainder Theorem, if we divide a polynomial f(x) by a binomial in the form (x - a), then the remainder will be f(a).

And by the Factor Theorem, in order for a binomial (x - a) to be a factor of a polynomial f(x), the remainder must be 0. In other words, f(a) = 0.

We are given a polynomial f(x) and that (x - 3) is a factor.

Therefore, a = 3.

And since it is a factor, by the Factor Theorem, the remainder must be 0.

Therefore:

[tex]f(3)=0[/tex]

The answer is A.

Answer:f(−3) = 0

Step-by-step explanation:took test

Round the number to the nearest ten place:
1823

Answers

Answer:

1820

Step-by-step explanation:

4 or less let it est 5 or more round up

Mrs. Hooper teaches piano lessons 5 days a week. She teaches for a total of 3 hours per day. How many minutes does she teach each week?

Answers

Answer:

900 minutes a week

Step-by-step explanation:

60 minutes makes one hour

3 hours multiplied by 60 minutes is 180 minutes

180 minutes multiplied by 5 days is 900 minutes

Step-by-step explanation:

3 hours *60 minutes= 180 minutes

And if he teaches for 180 mins a day, then in 5 days he will teach:

180 mins*5 days= 900 mins

8. Evaluate the expression (ab)^2 for a = 4 and b = 3.

Answers

I believe the answer is 144. Because the exponent of 2 is on the outside of the parentheses, we multiply a and b first. 3 times 4 is 12 and 12^2 is 144

when evaluating (6.28x10^12)/(3.14x10^4)

Answers

Answer:

2×[tex]10^{8}[/tex]

or

200000000

Step-by-step explanation:

[tex]\frac{6.28*10^{12} }{3.14*10^4}[/tex]

2×[tex]10^{8}[/tex]

or

200000000

The area of a round table in Kim's living room is 201 square inches. What is the circumference of the round table in inches?

Use 3.14 for π and round to the nearest hundredth of an inch if necessary




A. 8


B. 25.12


C. 50.24


D.100.48

Answers

Answer:

A. 8

Step-by-step explanation:

You must take the area and divide it by [tex]\pi[/tex]

201 divided by 3.14

Then take the number you got

201 divided by 3.14 = 64.0127388535

Then find the square root of that number

[tex]\sqrt 64.0127388535[/tex] = 8.000796139

Simplify & you get 8.

Please help!!!

Evan drops a ball vertically from a height of 100 ft. The peak height after each bounce is half the previous
height. How many feet does the ball travel from the time he drops the ball until it reaches the peak height
after the 5th bounce? Show all steps used to find the solution.

Answers

Answer:

150

Step-by-step explanation:

Rewrite 12/5
as a mixed number.

Answers

Answer:2 2/5

Step-by-step explanation:

answer

2 2/5

Explanation

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

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