An automobile manufacturer introduces a new model that averages 27 miles per gallon in the city. A person who plans to purchase one of these new cars wrote the manufacturer for the details of the tests, and found out that the standard deviation is 3 miles per gallon. Assume that in-city mileage is approximately normally distributed. What is the probability that the person will purchase a car that averages less than 20 miles per gallon for in-city driving

Answers

Answer 1

Given :

An automobile manufacturer introduces a new model that averages 27 miles per gallon in the city.

Standard deviation , S.D = 3 miles per gallon .

To Find :

The probability that the person will purchase a car that averages less than 20 miles per gallon for in-city driving.

Solution :

We have to find the probability , [tex]P(X\leq 20)[/tex] .

Here , we will use the excel function

So ,

[tex]P(X\leq 20)=NORMADIST( 20, 27 , 3 , 1 )=0.009815[/tex] .

Therefore , probability is 0.009815 .


Related Questions

32 as a single power of 2​

Answers

Answer:

1024

Step-by-step explanation:

Answer:

1024

Step-by-step explanation:

aey sample consisting of a portion of the population that is not scientifically drawn but instead collected because it easy to access is called

Answers

Answer:

See below

Step-by-step explanation:

A sample consisting of a portion of the population that is not scientifically drawn but instead collected because it easy to access is called ...

accidental sampleor  grab sampleor convenience sample or opportunity sample

All above refer to same method

How do you do this problem?

Answers

Step-by-step explanation:

∫ t⁷ e^(-t⁴) dt

If x = -t⁴, then dx = -4t³ dt, and ¼ x dx = t⁷ dt.

∫ ¼ x eˣ dx

If u = ¼ x, then du = ¼ dx.

If dv = eˣ dx, then v = eˣ.

∫ u dv = uv − ∫ v du

= ¼ x eˣ − ∫ ¼ eˣ dx

= ¼ x eˣ − ¼ eˣ + C

= ¼ eˣ (x − 1) + C

Substitute back:

= ¼ e^(-t⁴) (-t⁴ − 1) + C

The procedure would be as demonstrated in the attachment(s). As you can see your solution will be,

[tex]\frac{1}{4}\left(-e^{-t^4}t^4-e^{-t^4}\right)+C[/tex]

Seven oxide thickness measurements of wafers are studied to assess quality in a semiconductor manufacturing process. The data (in angstroms) are: 1264, 1288, 1272, 1304, 1280, 1301, and 1270. Calculate (a) the sample average and (b) sample standard deviation. Round both answers to 1 decimal places.

Answers

Answer:

a. Mean = 1,282.7 Angstroms

b. Standard deviation = 15.5

Step-by-step explanation:

a. Firstly, we are told to calculate the sample average. This is same as the mean;

Mathematically that would be;

The value of the sum of terms/ The number of terms.

= (1264 + 1288 + 1272 + 1304 + 1280 + 1301 + 1270)/7 = 8979/7 = 1282.7

b. Standard deviation

Mathematically, this is the square root of variance

= √{(x - mean)^2/N-1}

Please check attachment for the breakdown of this

Evaluate the expression for the given variables.
-a? - (2a - 7b)
+ b for a = -2 and b = 3

Answers

-2 - ( 2(-2) - 7(3)) + 3
-2 - (-4-21) + 3
-2 - 25 + 3
-27 + 3
= -24

Which angles could you add to 1 to make a supplementary angle. Please helppp

Answers

90°+90°
60°+120°
50°+130°
There are many more, supplementary angle = 180° so it can work for many more. Hope this helps :)

What number can be added to -8 To get a sum of 0

Answers

Answer:

8.

Step-by-step explanation:

-8+8=0

8 because 8 + -8 = 0

Will give brainliest answer

Answers

Answer:

-105°

Step-by-step explanation:

Rotation is counterclockwise

It means the angle is negative

We can see point C of the original figure is making a vertical line with point P

If we connect P to C' it is going to make more than 90 degree angle as it is above the horizontal line passing through the point P

Therefore we can estimate the angle as -105°

Calculate 19.25 tons equal how many pounds

Answers

Answer:

38,500 pounds

Step-by-step explanation:

1 ton = 2000 pounds

Juan baked 5 dozens of cupcakes which cost her a total of PHP 2675.How much should she sell each cupcake if she wants to get a 25% profit?

Answers

Step-by-step explanation:

5 cupcakes = PHP 2675

25% profit =

25/100 × 2675 = 668.75

Selling price for 25% profit = 2675 + 668.75 = 3343.75

Cost of each cupcake for 25% profit = 3343.75/5

= 668.75

The following table shows the assets and liabilities of the Smith family in 2005 and 2009.
2005
home valued at $200,000
mortgage of $30,000
car valued at $25,000
car loan of $8,000
2009
home valued at $180,000
home equity loan of $18,000
car valued at $18,000
boat valued at $20,000
personal loan of $5,000
Based on the table, which of the following is true?
a. From 2005 to 2009, both assets and liabilities decreased.
b. From 2005 to 2009, both assets and liabilities increased.
c. From 2005 to 2009, assets decreased and liabilities increased.
d. From 2005 to 2009, assets increased and liabilities decreased.

Answers

Answer:

A. From 2005 to 2009, both assets and liabilities decrease.

Step-by-step explanation:

I just took the test and it was correct

From 2005 to 2009, both Assets and Liabilities decreased.

We have - A table showing the assets and liabilities of smith family in year 2005 and 2009.

We have to estimate, whether the smith family has acquired more assets or liabilities from the year 2005 to 2009.

What do you understand by Assets and Liabilities?

Assets are the items that an individual own in order to extract some economic benefit from it in the future.

Liability includes the money, services or items that you owe to other person. Example : Loan, mortgage etc.

In the question given -

Assets are : Home value, Car value, boat value.Liabilities are : Car loan, Mortgage, Equity loan, personal loan.

In the year 2005 :

Assets : $2,25,000.Liabilities : $38,000.

In the year 2009 :

Assets : $2,18,000.Liabilities : $23,000.

Hence, it can be seen from the above figures that - From 2005 to 2009, both Assets and Liabilities decreased.

To solve more questions on estimating the Assets and Liabilities owned in a specific amount of time, visit the following link - https://brainly.com/question/3224330?referrer=searchResults

#SPJ6

(a) Find and identify the traces of the quadric surface x2 + y2 − z2 = 81 given the plane. x = k Find the trace.

Answers

Answer:

Hyperbola

Step-by-step explanation:

Consider [tex]x=k.[/tex]

Substitute [tex]x=k[/tex] in given equation [tex]x^2+y^2-z^2=81[/tex]

[tex]k^2+y^2-z^2=81[/tex]

[tex]\Rightarrow y^2-z^2=9^2-k^2[/tex]

[tex]\Rightarrow y^2-z^2=(9-k)(9+k)[/tex]

Here, different orientation for [tex]-9<k<9[/tex] then [tex]-9<k[/tex] or [tex]k<9.[/tex]

Hence, the surface equation represents a trace of the hyperbola.

Which number is equal to 10 Superscript negative 3

Answers

Answer:

1/1000 or 0.001.

Step-by-step explanation:

10 ^-3

= 1/10^3

= 1/1000.

Your Answer 0.001 (c)

You and a friend are sharing a swing. You have swung 11 times while your friend has swung twice as many times. Which of the following is a good estimation of how many more times your friend has swung than you?

Answers

Answer:

10

Step-by-step explanation:

uiuuiukiuiuiiuiuiuiuijkyfyi

Answers

Answer:

rawrrrrrr mannnnnn

Step-by-step explanation:

Answer:

Boo!

Step-by-step explanation:

Express , twelve times a number minus six is less than or equal to
negative eighteen as an equation

Answers

Answer:

12x - 6 ≤ - 18

Step-by-step explanation:

We will call "a number" x so

Twelve times a number would be:

12x

Then minus 6

12x - 6

Now we add the less than or equal to sign.

12x - 6 ≤

This is equal to negative eighteen, so:

12x - 6 ≤ - 18

As a bonus we can also solve for x.

12x - 6 = - 18    Add 6 to each side.

12x - 6 + 6 = -18 + 6

12x = -18 + 6

12x = -12  Divide each side by 12

12x/12 = -12/12

x = -12/12

x = -1

So we can say when x ≤ -1 Then 12x - 6 ≤ -18

x^2-7x=0 solve the equation​

Answers

Answer:

x = 0, 7

Step-by-step explanation:

Step 1: Write out equation

x² - 7x = 0

Step 2: Factor out x

x(x - 7) = 0

Step 3: Find roots

x = 0

x - 7 = 0

x = 7

Answer:

x = 0, 7

Step-by-step explanation:

x²-7x = 0x(x-7) = 0x = 0 & x =7

IS -13 LESS THAN OR GREATER THAN 14

Answers

It’s less than because it is a negative number
Less than because if you think about if you count to 14...13 is before 14 so 14 is greater than

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points? It takes Aaron about 1 hour to mow 2 acres. Aaron’s rate for mowing lawns is 0.5 acres per hour. The ratio of acres to time is 5 acres to 3 hours. The rate to mow a lawn is 0.6 hours per acre.

Answers

Answer: Aaron’s rate for mowing lawns is 0.5 acres per hour

Step-by-step explanation:

Hope this helps!!

The statement "The rate to mow a lawn is 0.5 acres per hour" correctly describes the slope of the line passing through the given points.

We have,

To determine the slope of the line passing through the points (3, 1.5) and (5, 2.5), we can use the slope formula:

Slope = (change in y) / (change in x)

Given the two points, we can calculate the change in y and the change in x:

Change in y = 2.5 - 1.5 = 1

Change in x = 5 - 3 = 2

Plugging these values into the slope formula:

Slope = 1 / 2 = 0.5

The slope represents the rate of change of the y-coordinate (area) with respect to the x-coordinate (time).

In this case, a slope of 0.5 means that for every hour it takes Aaron to mow a lawn (change in x), the area mowed (change in y) increases by 0.5 acres.

Therefore,

The statement "The rate to mow a lawn is 0.5 acres per hour" correctly describes the slope of the line passing through the given points.

Learn more about slope here:

https://brainly.com/question/23087740

#SPJ2

what is y over 3 (y/3) = 12

Answers

Answer:

so what i would like to do is what is 12 divid by 3 and when u get ur answer that it what the y is

Answer:

36

Step-by-step explanation:

y/3=12

y=3*12

y=36

A jet plane can travel 567 miles per hour. How many mile can it travel in 4hour During the first trip and 6 Hour during the scon trip

Answers

It will take 8 hours to drive 120 miles at a speed of 15 miles per hour. Hi Mia, If you drive 15 mi per hour, you will be covering 15 miles each other you travel. If you know the total distance traveled, then you can simply divide it by speed to get the time it takes to cover that distance. explanation:

can somebody help me !

Answers

Answer:

angle 1

Step-by-step explanation:

all others are congruent

Plz help me I don't understand the answer!!!!!!!!!!!

Answers

B -2x-2=4-12 hope this helped

Complete the graduated commission problem: You earn 20%
commission on the first $500 of sales, 25% commission on the next
$1000 of sales, and 30% commission on all sales over $1500. If you sold
$1940, what is your total commission?

Answers

Answer: I'll give you both the percentage and dollar amount. 75% = $144

Step-by-step explanation: first, I added up all the percentages to total 75%. then I took the total sales, and divided that by .75 (75% in decimal form), so:

1940 x .75 = 1455

1940 - 1455 = 144

Write the equation of the line fully simplified slope-intercept from.

Answers

Answer:

y = 4/3x - 7

Step-by-step explanation:

An assembly line has two inspectors . The probability that the first inspector will miss a defective item is 0.09. If the defective item passes the first inspector, the probability that the second inspector will miss it is 0.08. What’s the probability that a defective item will pass by both inspectors?

Answers

Answer:

0.072

Step-by-step explanation:

0.09 × 0.08

Here's the diagram/ explanation

S = 4LW + 2WH; S = 168, L = 8, W = 4

H=

Answers

Answer:

h=5

Step-by-step explanation:

A store is selling two mixtures of nuts in
-ounce bags. The first mixture has
ounces of peanuts combined with five ounces of cashews, and costs
. The second mixture has five ounces of peanuts and
ounces of cashews, and costs
. How much does one ounce of peanuts and one ounce of cashews cost?

Answers

Answer:

gfAnswer:Answer:Answer:Answer:Answer:Answer:Answer:

Step-by-step explanation:

fgAnswer:Answer:Answer:Answer:Answer:Answer:Answer:Answer:Answer:Answer:

Choose the most appropriate name for the function:
The output from a machine depends on the input to the machine.
A. Output(input), or O(i)
B. Input(output), or O(i)
C. Input(output), or I (0)
D. Output(input), or i(0)

Answers

Output(input), or O(i)

Evaluate v(x) = 14 – 3x when x = -3,0, and 4.

Answers

Answer: 23 , 14 , 2

Step-by-step explanation:

V(-3)=14-3(-3)

=14+9

=23

V(0)=14-3(0)

=14-0

=14

V(4)=14-3(4)

=14-12

=2

I hope this helps

Other Questions
What color do formatting changes appear Which factor facilitated statehood for the darker-shaded areas?10 pointsYears of Statehood for Selected States, 1889-189618891889189018901896NO The introduction of barbed wire throughout the Great Plains. Use place value in the distributive property to match each multiplication expression an equivalent expression Please please help me on that. 2. Tess picked 12 flowers on Monday morning In the afternoon she picked some more flowers. If Tess picked 27 flowers in all, how many did she pick in the afternoon? ____________________ A letter that represents one or more numbers. pick from these: Absolute Value Distributive Property Equation Evaluate Equivalent Simplify Expression Integers Like Terms Inequality Reciprocal Coefficient Variable Solution Ratio change it to interogative sentence" please leave your footwear outside" Region known for the production of cotton, soybeans, poultry, & hardwood trees Tom, Kwasi, and Juan purchased a large pizza to share. If Tom ate ofthe pizza, Kwasi ate of the pizza, and Juan ate of the pizza, whatfractional part of the pizza was eaten? HELP SOS!!!!!!!!!!!!!!!!!!!!!!! please help mefill in the blankPresent-day Arizona was home to the (1)___ people. Theirway of life depended on the (2)___ they dug to carry waterto their fields. The (3)___ lived in the area known as the FourCorners in great stone dwellings called (4)___, or villages, aswell as in cliff dwellings in the walls of steep cliffs.Several different groups of people, known as (5)___ builtthousands of mounds of earth in central North America.One of these groups, the (6)___, built the Great SerpentMound. The largest settlement was (7)___.The last group of people to cross the Beringia land bridgeinto North America was called the (8)___. Their main occupations were (9)___. The mild climate and dependablefood sources of the (10)___ created a favorable environmentfor many different North American groups including theTlingit, Haida, and Chinook, who adapted their way of lifeto the (11)___; the people of the (12)___, an area betweenthe Cascade Mountains and the Rocky Mountains; and thosewho settled in the (13)___ between the Sierra Nevada andthe Rocky Mountains. The peoples of the Great Plains were(14)___, traveling from place to place in search of food.Native Americans who lived in eastern North Americaformed complex political systems to govern their nations.After years of warring, the five Iroquois groups joined anorganization called the (15)___. Among those who settled inthe Southeast were the Creek, Chickasaw, and (16)___, whofarmed the mountains of Georgia and Alabama. A store sells rope by the meter. The equation p=0.8L represents the price p (in dollars) of a piece of nylon rope that is L meters long. How much does the nylon rope cost per meter? How long is a piece of nylon rope that costs $1.00? Who want to see me with another kid in 2021? What are some great baby names for boy's and girl's? *plz don't delete dis question**** Describe the climate in the time of the Big Game Hunters. edg answer What do Mrs. Bell's actions tell the reader about her?Read the excerpt from Holes,On his last day of school, his math teacher, Mrs. Bell,taught ratios. As an example, she chose the heaviest kidin the class and the lightest kid in the class, and hadthem weigh themsewes. Stanley weighed three times asmuch as the other boy. Mrs. Bell wrote the ratio on theboard: 3:1. unaware of how much embarrassment shehad caused both of them.She does not always consider the effects of heractions.O She has creative ideas that inspire her students tolearnShe considers math to be more important thankindness,She is cruel and never considers the feelings ofothers,Save and ExitNexSubmitPop The temperature of a freezer started at 18C after cooling for a few hours the freezer had a temperature of -12C what is the difference between the new colder temperature in the original temperature Which equation represents a line that passes through (4, 1/3) and has a slope of 3/4? 5/9 9/5 23/3 =? HELP ME PLZZZ Which linear equation has no solution? Help help help help please-