A particular type of fuel tank produced for a particular car model is designed to hold 30
liters. However, the actual capacity of a randomly chosen tank of this type is normally
distributed with mean 30 liters and standard deviation 0.5 liters. Suppose that of the cars
of the above model, 50 percent run 14.5km per liter, 30 percent run 14km per liter and 20
percent run 13.5km per liter under test condition.
i. If you buy a car of the above model, what is the probability that your car will run
more than 420km under test conditions, when tank is filled once?
ii. If a randomly selected car of the above model runs maximum distance of 420km
under test conditions, when the tank is filled once, what is the probability that this
car runs 14.5km per liter?

Answers

Answer 1

Answer:

23

Step-by-step explanation:

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Related Questions

What is the slope of a line perpendicular to the line whose equation is
3x + 3y = –27. Fully simplify your answer.

Answers

Answer:

1

Step-by-step explanation:

Perpendicular lines always have the opposite slope (meaning that you have to switch the numerator and denominator) and sign when comparing to the given equation.

To start off, convert the equation to be formatted into y=. You do this by first subtracting the 3x from both sides of the equation so that it now reads 3y=-3x-273y=−3x−27 . Now, divide the whole equation by three in order to get rid of the value attached to the y. The equation should now read to be: y=-x-9y=−x−9 . Now, just switch the the slope into its opposite (which is the reciprocal) and switch the negative sign into a positive.

Form an equation to help you solve this problem Four identical lumps of gold on one side of some scales balance with one identical lump and a 22kg mass. Find the mass of one lump of gold. kg​

Answers

Answer:

equation= 4x=x+22kg

Step-by-step explanation:

i hope it helped :))

Help help help help help help math sucks help

Answers

-24,16
16,8
-8,-24
Hope this helps.


If I paid 1/7 of the total bill and the remainder of the bill was $114, how much did I pay?

l

Answers

See answer attached in photo. I drew it out

you want to frame a photo from your trip to send home selective frame that suitable for a photo with a perimeter of 70 cm​

Answers

Points H=Mc3
26/861639+owuoe

pls help its an image scroll down

Answers

Answer:

D. y = 3x + 9

Step-by-step explanation:

Use the point-slope formula to find the equation in slope-intercept form.

[tex]y-y_1=m(x-x_1)\\\\y-33=3(x-8)\\\\y-33=3x-24\\\\y=3x+9[/tex]

The walls and ceiling of a hotel room are to be painted. The ceiling is a 22-foot square, and the walls are 8 feet tall.

What is the surface area of the walls and ceiling to be painted? Ignore any doors or windows.

Answers

Answer:

Step-by-step explanation:

ceiling 22² = 484 ft²

walls 4(22)(8) = 704 ft²

Total  1188 ft²

Find the perimeter of the triangle.

inches.

Answers

To get the perimeter, you simply add the following sides. Set up your equation as P = 7+(x+4)+(4x+1). Then add up like-terms. You should get P = 5x+12.

The perimeter of the given triangular image will be 5x + 12.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given triangular triangle,

Perimeter = 7 + (x + 4) + (4x + 1)

Perimeter = 7 + 5x + 5

Perimeter = 5x + 12

Hence "The perimeter of the given triangular image will be 5x + 12".

For more about triangles,

https://brainly.com/question/2773823

#SPJ2

40 points! Help (Vectors)

Answers

Answer:

distance, speed, time, temperature , work, energy, charge, voltage are all scalar quantities. Displacement, velocity, acceleration, force, electromagnetic field are all vector quantities.

Step-by-step explanation:

Displacement and velocity.

Rewrite 2/9+5/12 with a common denominator.

Answers

Step-by-step explanation:

direct add the upper both numerator and bottom both denominator ,Then you will get the answer,Then reduce it to lowest form

sorry for bad english

edit:Wrong answer

2/9 + 5/12

LCM = 36

=》2/9 = 2×4/9×4 = 8/36

=》5/12 = 5×3/12×3 = 15/36

2/9 + 5/12

= 8/36 + 15/36 (LCM = 36)

= 23/36 -----> 2/9 + 5/12 with a common denominator.

________

Hope it helps ⚜

Help help help help help help help

Answers

Answer:

6

Step-by-step explanation:

x coordinate goes left and on 6 line

y coordinate goes up and on 1 line

(x, y)

(6, 1)

x coordinate is 6

there are 20 coins.there are only twenty cent and fifty cent coins in it. the total amount in it is $7.60 .How many fifty cents coin are there

Answers

Answer:

10 twenty cent pieces and 6 fifty cent pieces for 16 coins and 5 euros.

Step-by-step explanation:

If F=(-3)
Find: F(x)=4x^2-5

Answers:
-41
31
29
None of the Above ​

Answers

Answer:

31

Step-by-step explanation:

as we put the value of X in the function it gives 3

PLEASE HELP EXPLAIN !! SHOW WORK FOR BRAINLIEST Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has an H value of 0.0004, what is the pH of the substance, rounded to the nearest tenth?

Answers

3.4

Step-by-step explanation:

The pH or acidity of a solution is given by the equation

[tex]pH = -\log{[H]}[/tex]

where [H] is the concentration of [tex]H^+[/tex] ions. If the [tex]H^+[/tex] concentration is 0.0004 (=[tex]4×10^{-4}),[/tex] then its pH level is

[tex]pH = -\log{(4×10^{-4})} = 3.4[/tex]

During second period, Janet completed a grammar worksheet.
​She got 14 questions correct and 42 questions incorrect. What percentage did Janet get correct?

Answers

Answer: 50%

Step-by-step explanation:

75%!
she has 56 questions in total and if she gets 14 correct, that’s 1/4 of the questions. therefore, she has 3/4 (75%) wrong.

Executives for a company that prints logos on products are expanding the company's services to include souvenirs such as hats, shirts, and foam fingers for sports teams. The data they collected from a sample of 300 adults about their favorite sport to watch and their favorite souvenir to buy are shown in the table.​

Answers

Answer:

0.01

Step-by-step explanation:

the number of participants that prefer a t-shirt and prefer soccer is 3, since this is out of 300 we have 3/300 or 0.01

Devaughn's age is two times Sydney's age. The sum of their ages is 21. What is Sydney's age?

Answers

Answer:

The age is 7

Step-by-step explanation:

Devaughn's age is two times Sydney's age

and the sum of their ages is ? Let’s Sydney's age is X, Devaughn's age is (2X+X=21)

Therefore 3X=21

Rearranged is X= 21 divide 3

Therefore Sydney’s age is 7

(E) 140°
2. If ZX and Zy are complementary, and ZX
and ZZ are supplementary, which of the
following is true?
(A) MZY + mZZ = 270
(B) 2(mZY)= m_Y + m2Z
(C) mZZ mZX = 90
(D) mZZ m_Y = 90
(E) mZX + mZZ = 180

Answers

Answer:

a

Step-by-step explanation:

just took the test

(E) 140°

2. If ZX and Zy are complementary, and ZX

and ZZ are supplementary, which of the

following is true?

(A) MZY + mZZ = 270

(B) 2(mZY)= m_Y + m2Z

(C) mZZ mZX = 90

(D) mZZ m_Y = 90

(E) mZX + mZZ = 180


Answer: mzy+mzz=120 is the answer

Beth drops a bouncy ball, which bounces back up again. The graph 'below shows the
beginning path of the ball.

Answers

Answer:

Step-by-step explanation: its a

10.
Use the quadratic function to predict y if x equals 6.

y = 2x2 − 2x − 2

A. y = 60

B. y = 58

C. y = −60

D. y = −58

Answers

Answer:

B. y = 58

Step-by-step explanation:

b) y=58 you follow the instructions

...............................................................................................................................................

The given quadratic function is      

y= 2x^2 - 2x - 2

We have to find the value of the function y at x=6.

Substitute x=6 in the given function.      

y= 2(6)^2 - 2(6) - 2

y= 2(36) - 12 - 2

y= 72 - 14

y= 58

The value of the function is 58 at x=6 is 58.

Therefore the correct option is B.

-
3-(2n + 5)
3 + (2n + 5)-1

Answers

Answer:

I think it's 3n+7

                 -------

                 3n+8

Step-by-step explanation:

Forty six minus twenty​

Answers

Answer:

26 po hahahahahahahahahahaha

whats the answer can someone answer please​

Answers

Answer:

b and c

Step-by-step explanation:

Answer:

answer of QN 12 is 0.000000000999 and the answer of QN 13 is 30x + 42

describe these sets June July january​

Answers

Answer:

Months that start with the letter "J"

Step-by-step explanation:

The graph of y = (x -k)? is shown below.
у
61
5
لما له
1
-3-2-1
1 2 3 4 5 6 7
X
1
-2
-3
What is the value of k?

Answers

Answer:

(7) 3 2 2x 23 xy y - 10 0 Solution The equation 2x2 23xyy2-100 has A2,B 23, and (1 13) as p3 (Example 2). 13: 271279. 2 m) long and 6 ft Step-by-step explanation:

whay are the fourth and fifth number on the sequence 1,4,27.?..,..?..46656

Answers

Answer:

256, 3125

Step-by-step explanation:

This may be the sequence n^n:  1^1, 2^2, 3^3, 4^4, 5^5, 6^6, ...

Let's check with the numbers we see:

1^1 = 1

2^2 = 4

3^3 = 27

6^6 = 46656

Yes, this is the sequence n^n.

The 4th term is:

4^4 = 256

The 5th term is:

5^5 = 3125

Four movie tickets cost $48. At this rate, what is the cost of...
a. 5 movie tickets? Show your work.
b. 11 movie tickets? Show your work.

Answers

We first want to know how much one movie ticket costs. We do 48/4 giving us 12. So one ticket costs $12!!

5 movie tickets will cost $60 because 5 times 12 is 60.

11 movie tickets will cost us $121 because 11 times 12 is 121!

Hope this helps!! :)

A shirt cost $24.92 with 10% discount if the sales tax is 6.35% how much will the shirt cost?

Answers

Cost 24.92*10/100
= 2.492
Sale tax 6.35+2.492
The total Cost of shirt is = 8.732

Graph the linear equation.

y= -2/3x - 4​

Answers

Answer:

Step-by-step explanation:

First, let's substitute 0 for x, as we can see at x=0, y is going to be -4.

Now to get our second point let's make -2/3x = -4, or just 2/3=4.

We multiply be 3/2 on both sides and get x = 6. This means that at x = 6, y is going to be equal to 0. Now you can graph it out

A hummingbird lives in a nest that is 12 meters high in a tree. The hummingbird flies 15
meters to get from its nest to a flower on the ground. How far is the flower from the base of
the tree?

Answers

Answer:

The flower is 9 meters from the base of the tree.

Step-by-step explanation:

Use the Pythagorean theorem to solve. We are given the length of one leg and the length of the hypotenuse of a right triangle.

[tex]a^{2} +b^{2} =c^{2}[/tex]

where a and b are the legs, and c is the hypotenuse.

Plug in the given values and solve:

[tex]x^{2} +12^{2} =15^{2} \\x^{2} +144=255\\x^{2} =81\\x=9[/tex]

The flower is 9 meters from the base of the tree.

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