A car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 litre of fuel is normally distributed with a mean of 20 km and a standard deviation of 6 km. Find the probability (to 3 decimal places) that the car travels between 15 and 28 km on 1 litre of fuel.

Answers

Answer 1

Answer:

0.70631

Step-by-step explanation:

Given that :

Mean (m) = 20 km

Standard deviation (s) = 6 km

Probability that car travels between 15 and 28 km

Using the relation to obtain the standardized score (Z) :

p(x < 15)

Z = (x - m) / s

Z = (15 - 20) / 6

= - 0.8333

p(Z < - 0.833) = 0.20242 ( Z probability calculator)

(x < 28)

Z = (x - m) / s

Z = (28 - 20) / 6

= 1.333

p(Z < 1.333) = 0.90873 ( Z probability calculator)

0.90873 - 0.20242 = 0.70631


Related Questions

An equation of a line can be written in point slope form given any point (_,_) on the line and the slope of the line ___.

Answers

Answer:

.... given any point (x,y) on the line and the slope of the line m.

Step-by-step explanation:

Its because a coordinate's variables are (x,y) due it's position on the graph on the x-axis and y-axis; and the slope of the line is called m in general (it's just a mathematical term/variable due to how it is defined in formulas)

.. Lexi was at the grocery store looking at the different prices for shampoo. She found that the small bottle of shampoo was $7.80 for 12 ounces, the medium bottle was $14.20 for 20 ounce and the large bottle was $19.20 for 32 ounces. Which size of shampoo costs $0.71 per ounce?​

Answers

Answer:

The answer is Medium size

Step-by-step explanation:

The equation is simple

14.20 divided by 20 = 0.71

There are approximately 12 inches in 1 foot. If Johnny is 5 feet and 4 how tall is he in inches?​

Answers

Answer: It's 64

Step-by-step explanation:

12x5=60

60+4=64

Answer:

64 inches

Step-by-step explanation:

what is 17 + 64 + 124 + (3^2 x 5) - 14 = ?

Answers

Answer:

9x⁵ + 191

Step-by-step explanation:

Simplify: 17 + 64 + 124 + 9x⁵ - 14

Collect Like Terms: 9x⁵ + (17 + 64 + 124 - 14)

Simplify: 9x⁵ + 191

Brainliest Please!!?!!!!

- ElizabethKate

So Latly nobody has been Straight answering my question so maybe you can

Brainliest ? A Thanks ? 5 Stars ?!?! Come on!


( Answer Please )

Answers

Answer:

t=1

Step-by-step explanation:

combine the one t and the 4t

16-2t=5t+9

subtract the 16

-2t=5t+9-16

-7t=9-16

-7t=-7

t=1

Answer:

t=1

Step-by-step explanation:

16-2t= t+9+4t16-2t=5t+97-2t=5t7=7tt=1

15x - 7
Thornwood Drive
Jim's
Holly Drive
Adam's
The distance from Jim's house to the intersection of Thornwood Drive and Holly Drive is given by the expression 15x - 7. The total
distance from Jim's house to Adam's house when traveled on Thornwood Drive and Holly Drive is given by the expression 23x - 2.
Find a single expression that represents the distance from Adam's house to the intersection of Thornwood Drive and Holly Drive.
A)
8x + 5
B)
8x - 9
38x + 5
D)
38x - 9

Answers

D? because you add them?

In 2005, 120 students at Lincoln High School
had smart phones. By 2010, 345 students in the
same school had smart phones. Which of the
following best describes the annual rate of change
in the number of smart phones students had from
2005 to 2010 at Lincoln High School?
A) The average increase in the number of smart
phones per year is 40.
B) The average increase in the number of smart
phones per year is 45.
C) The average increase in the number of smart
phones per year is 50.
D) The average increase in the number of smart
phones per year is 55.

Answers

Answer:

The average increase in the number of smart

phones per year is 45

Step-by-step explanation:

Given that :

Number of students who had phones in 2005 = 120

Number of students who had phones in 2010 = 345

(345 - 120) / 5

225 / 5

= 45

Hence, average increase in number of smartphones per year = 45

Daniel can eat 4 brussels sprouts in 1 minute. How many minutes would it take to eat 12 sprouts?

Answers

Answer: 3 minutes.

Work: This is just simple multiplication. 4 x _ = 12. If you look at a multiplication table, it's 3. So, it would take 3 minutes to eat 12 sprouts. I hope this helps, and stay safe! :)

Answer:

3 min

Step-by-step explanation:

[tex]12/4= 3[/tex]

-4(2x+4)=-7x
solve for x

Answers

Answer:

x should equal 16

Step-by-step explanation:

Which statements describe an element? Check all that apply.

1. An element is a pure substance.
2.An element is made of only one type of atom.
3.An element is made of two or more different types of atoms.
4.An element can be broken down into a simpler form.
5.An element cannot be broken down into a simpler form.

Answers

Answer:

1,2,5

Step-by-step explanation:

That is just the definition of an element :) the other two answers contradict these.

EASY QUESTION- MERRY XMAS

Answers

Answer:

The answer will be B.

Step-by-step explanation:

When the number is with the x, it moves the graph in the horizontal direction, and when the number is NOT with the x, it moves the graph in the vertical direction.

So, since -6 is with the x, it is moving the graph Right 6 units. Changing it to 4 units results in the the graph moving 2 units left from 6 units.

The -1 is NOT with the x, so it moves the graph down 1 unit. Taking out the -1 (so putting a 0) results in the graph moving 1 unit up from -1.

So, the graph translated up 1 unit and left 2 units.

#teamtrees #WAP (Water And Plant)

Answer:

Its B

Step-by-step explanation:

Sammy tried to verify the solution by substituting x = 5 back into the original equation. It did not result in a true statement. Which explains why Henry’s solution is incorrect?

Answers

Answer:

Step-by-step explanation:

x=5

A store has a sale for 20 % off. You decide to buy a $15 t-shirt. A) How much money will you save? B) How much money will you spend on the t-shirt?

Answers

Answer:

you will save 3 dollars and spend 12 on the shirt

Step-by-step explanation:

20 percent of 15 is 3 dollars. subtract the 3 from 15$ to get your discounted price.

PLEASE HELP ME
Function A is represented by the equation y= 2x+5.
Function B is a linear function that goes through the points shown in the
table
x134
y-13s9
Which statement correctly compares the rates of change of the two
functions?
OA. The rate of change of function A iS 5.
The rate of change of function B is 2
rate of change of function A is 5
OB.e of change of function B is 4.
OC. The rate of change of function A is 2
The rate of change of function B is 4
OD. The rate o ctag
he rate of
ge of function A is 2
of change of function B is 2

Answers

Answer:

D

Step-by-step explanation: BABABOOEY

Fill in the next term in the sequence.

Answers

Answer:

the formula is an = a1+(n-1)d

9 is subtracted by the sqaure of a number

Answers

Answer:

I believe it is x^2-9

Step-by-step explanation:

Since we don't have a specific "number" you use x. It says it's squared to put an exponent of 2. It also says that 9 is subtracted by it so put -9.

The graphs below have the same shape. What is the equation of the red
graph?

Answers

Step-by-step explanation:

Option B is correct as the y-intercept is 6.

Find the area of the circle.

Answers

Answer:

A=346,6 in²

Alternative C

Step-by-step explanation:

Length of circunference:

L=2πR,  where r is the radius

Area of circle:

A=πR²

We know that L=66

66=2πR, then:

πR=33in

[tex]R=\frac{33}{\pi }[/tex]

Thus:

[tex]A=\pi (\frac{33}{\pi} )^{2}[/tex]

[tex]A=\frac{1089}{\pi} \\\\A=346,63[/tex]

Find the inverse of the function.

Answers

Answer:

The option 'b' is true.

Step-by-step explanation:

Given the expression

[tex]f\left(x\right)=\frac{2}{x+7}[/tex]

A function g is the inverse of the function f if for y=f(x), x=g(y)

[tex]y=\frac{2}{x+7}[/tex]

Replace x with y

[tex]\:x=\frac{2}{y+7}[/tex]

solve for y

[tex]y=\:\:\frac{2}{x}-7[/tex]

Thus,

[tex]f^{-} (x)=\frac{-7x+2}{x}[/tex]

Therefore, option b is true.

A function is represented by the graph. Complete the statement by selecting from the drop-down menu. The y-intercept of the function​ ​y=3x+2​ ​​is Choose... the y-intercept of the function represented in the graph.


need help

Answers

Answer:

The y-intercept of the function represented in the graph will be: (0, 2)

The graph is also attached.

Step-by-step explanation:

Given the function

[tex]y=3x+2[/tex]

the y-intercept of the function can be determined by setting x=0 and solving for y.

so

[tex]y=3x+2[/tex]

[tex]y=3(0)+2[/tex]

[tex]y=0+2[/tex]

[tex]y=2[/tex]

Thus, the y-intercept of the function represented in the graph will be: (0, 2)

The graph is also attached.

Answer:

equal to

Step-by-step explanation:

i took test

Alicia borrowed $3000 from a bike at a rate of 12% simple interest per year how much interest did she pay in four years

Answers

Answer:

$1440

Step-by-step explanation:

$3000 (12%) = 360

360 x 4 = 1440

Hope this helps!


The angles of AABC have the extended ratio of 7:8:15, respectively. Calculate the value for each of the angles A, B,
and C. Remember the angles in a triangle sum to 180 degrees!

Answers

Answer:

Step-by-step explanation:

Remark

A B C have to be multiplied by the same something. No matter what they are multiplied by the sum will be 180 degrees.

Equation

Let the angle ratios  be  multiplied by x

7x + 8x + 15x = 180

30x = 180

x = 180/30

x = 6

Answer

7*6 =     42

8*6 =     48

15*6 =    90

Total    180 as it should

At Thompson Pass, 12 inches of snow fell during a 16 hour period. At this rate how much snow would fall in 24 hours? Pls help!

Answers

Answer:

18 inches of snow

Step-by-step explanation:

First, you'll have to find how much snow falls in a hour: 12/16 = .75 inches

Secondly, you'll multiply that by 24 to find the inches in a full day: 24 x .75 = 18

Answer:

18 inches of snow

Step-by-step explanation:

12:16

24 if you know the butterfly method which is 12/16=24 multiply 12 and 24 together and get 288 and then divide it by 16 which you get 18 inches of snow

for geometry:(

will give brainist

Answers

Answer:

Clearly show i can't see ur answer

Answer:

x = 60

Step-by-step explanation:

These angles are alternate exterior angles because they are on the opposite side of the transversal line and on the outside of a set of two non-transversal lines.

The alternate exterior angles theorem explains that if a pair of non-transversal lines are parallel, then the alternate exterior angles are congruent.

We can use the following equation to solve:

46 = 3x-14

Simplify.

60 = 3x

x= 60

Ninety percent of the people who have a particular disease will have a positive result on a given diagnostic test. Ninety percent of the people who do not have the disease will have a negative result on this test. If 5 percent of a certain population has the disease, what percent of that population would test positive for the disease?

Answers

Answer: 0.14

Step-by-step explanation:

Which point is the incenter of Triangle JKL ?
Enter your answer in the box.
point

Answers

Answer:

Point N. I took the test!

Step-by-step explanation:

It is found that in-center of the triangle JKL  is point N.

What is a triangle?

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

We are given a triangle JKL.

In triangle JKL, they have drew perpendicular bisectors of each side of the triangle.

Also we are given the angle bisectors of the each of angles.

Since perpendicular bisector is a line that intersect a segment into two equal parts and also perpendicular to it.

Also we know that the in-center is the point forming the origin of a circle inscribed inside the triangle. which is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle.

We can see that angle bisectors are intersecting at a point N.

Therefore, It is found that in-center of the triangle JKL  is point N.

Learn more about a triangle;

https://brainly.com/question/7116550

#SPJ5

sehn ullum

can u guess what that means?

Answers

Answer:

nope

Step-by-step explanation:

blah blah blah blah

When light bounces off the surface of an object what is it called.​

Answers

Answer:

specular reflection

Step-by-step explanation:

Answer:

Reflection is when light bounces off an object. If the surface is smooth and shiny, like glass, water or polished metal, the light will reflect at the same angle as it hit the surface. This is called specular reflection.

Step-by-step explanation:

hope this helps

Learn
Are the ratios 7:6 and 17:12 equivalent?
yes
no

Answers

Answer:

no

Step-by-step explanation:

A ratio can be written as a fraction:

7:6 can be written as 7/6, and 17:12 can be written as 17/12.

Now multiply the numerator and denominator of 7/6 by 2 to get an equivalent fraction and ratio: 14/12

14/12 is not equal to 17/12, so

7:6 and 17:12 are not equivalent

Answer: no

Set up a tape diagram for the equation 2x + 10 = 20

Answers

Answer is X=5

Subtract  

10  from both sides of the equation

Simplify

Divide both sides of the equation by the same term

and done

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