Mathematics College

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:

Step-by-step explanation:

Related Questions

y = 4x – 1 with inputs x = -3, x = -2, and x = -1

Answers

Part 1. If x = -3 the equation would be. Y = -12-1 which would be Y= -13

Part 2. If x = -2 the equation Y = -8-1 which would be Y = -9

Part 3. If x = -1 the equation would be. Y =-4-1 which would be Y = -5

help fast
E explaination

Answers

Answer:

a)3.4

b)8.3

c)6.30

d)19

Step-by-step explanation:

hope it can help you lovelots

#LEARN WITH BRAINLY

x + 6 - 6x + 10
integers

Answers

Answer:

-5x + 16

Step-by-step explanation:

I didn't see a equal sign so I assume that x cannot be x = -5/16

So I combined like terms of x and -6x to get -5x as well as +6 and +10 to get 16.

To get my final answer as -5x + 16.

The answer is -5x + 16

Solve the differentiable equation if possible:

Answers

Look at the photo for the first few steps. After that, follow the steps I’m typing…

D/dt [e^-t y] = te^-t

D/dt [e^-t y] dt = te^-t dt

E^-t y = te^-t dt

E^-t y = -te^-t - e^-t + C

Answer: y= -t -1 + C/e^-t

- Kerry multiplied 143.64 X 10 and got 14.364. Is Kerry's answer correct?
If not, tell what Kerry might have done incorrectly.

Answers

Is the wrong answer, the correct answer is 1,436.4

Help pls will give brainlist

Answers

Answer:

should be c

Step-by-step explanation:

Answer:

B) is the answer I hope I could help

In the base ten number 4325 , how many times
greater than the value represented by the digit 2 is the value represented by the digit 4 ?

Answers

Using the concept of place value, the digit 4 is 200 times greater than the digit 2.

Given the number :

4325

The digit 2 is in the tens place = 2 × 10 = 20

The digit 4 is in the thousand place = 4 × 1000 = 4000

The number of times greater can be obtained thus :

4000 / 20 = 200

Hence, the digit 4 is 200 times greater than the digit 2.

Learn more : https://brainly.com/question/14760328

What’s the common ratio of the geometric sequence?
-4,-8,-16

Answers

Hello! :)

A geometric sequence is a sequence where you use multiplication or division to get to the next term.

-4, -8, -16...

Here, we multiply every number by 2. So the common ratio is 2.

Hope it helps, and let me know if you have any queries.

~A smiley teen who adores helping others

[tex]MagicalNature[/tex] here to help

Answer:

The answer is 2.

Step-by-step explanation:

To get the common ratio, simply dividing each number in the sequence from the number preceding it.

-4, -8, -16

-16 ÷ -8 = 2

- 8 ÷ -4 = 2

What is the terminal point of the vector a = (2,4) based at P = (3, 4)?

Answers

Answer: (5, 8)

Explanation:

Start at the point (3,4) which is the tail of the vector. We move 2 units to the right and 4 units up to arrive at (5,8) due to the vector a = <2,4>. Effectively, we're using the translation rule [tex](x,y) \to (x+2,y+4)[/tex]

In other words, we add 2 to the x coordinate and add 4 to the y coordinate of the point (3,4) to move to (5,8)

The length of a flat-screen tv is 5 inches less than 3 times its width if the perimeter of the tv is 150 inches find the demensions

Answers

Answer:

Length(L) is 55

Width(W) is 20

Step-by-step explanation:

The figure below is a square with an area of 625 square centimeters. The length of a rectangle is 40% more than the length of the square. Find the length of the rectangle.

Answers

For a square:

A = s2, where s = side (the length and the width are the same)
625 = s2
±25 = s

length of rectangle = 1.4 · length of square
length of rectangle = 1.4(25)
length of rectangle = 35

Use the distributive property to write an expression equivalent to 7(48).

Drag and drop the appropriate number into each box.

Answers

Answer:

336

Step-by-step explanation:

7x48=

7(8)= 56

7(4)+5= 33

7(48) = 336

Answer:

336

Step-by-step explanation:

Pls help meeee the question is in the photo pls no links or fake answers pls answer both questions

Answers

Answer:

Step-by-step explanation:

First one is TRUE...you'd multiply by negative one third

Second is FALSE...no multiplication needed to get x as a positive.

help please
i will give the best one

Answers

The answer is A because if you graph g(x) then it wouldn’t be linear

My mom gave me $20 for grocery’s. She needed cat food which was $8.50 for a 35 pound bag. And the rest of the money she needed to buy socks for my dad which are a $1.50 for two pairs how many pairs of socks can I buy.

Answers

Answer:

15 pairs

Step-by-step explanation:

total:$20

cat food: $8:50

two pair of socks: $1.50

$20 - $8.50= $11.50(the rest of the money)

the rest is divided by the price of the socks to obtain how may socks you can pay with $11.50.

$11.50÷$1.50≈ 7.6

Now you multiply 7.6 by two to get the exact amount of socks with the offer.

7.6×2≈15.2

15.2≈15

So with $11.50 you will buy 14 socks for 1.50 every two pairs and a pair for 0.75

What is the value of y in y = log_64 64?

Answers

Step-by-step explanation:

if I understand this correctly as logarithm of 64 to the base of 64, then the answer is clearly 1

64¹ = 64.

Help Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

were is the qn?

Step-by-step explanation:

Five students share the writing of a term
paper evenly. If each person writes more
than six pages, how long is the paper?

Answers

Answer:

Over 30

Step-by-step explanation:

There is no definite answer if you don't know how many pages each person. All you have to do is multiply 5 by 6

x+x+y×y simplified ?

Answers

Answer:

(x+x)+ (y+y)

=2x + 2y

thank you

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Hey there!

x + x + y × y

= 1x + 1x + 1y × 1y

COMBINE the LIKE TERMS

= (1x + 1x) + (1y × 1y)

= 2x + y²

= y² + 2x

Therefore, your answer should be: y² + 2x

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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.

help me with math and ill mark brainliest

Answers

Answer:

I and II

Step-by-step explanation:

All trapezoids have a midsegment. The base angles of isosceles trapezoids are always congruent. Because the top and bottom side are parallel, the same side interior angles are supplementary not complementary.

Write an integer to represent each situation

1. walking to the track 6 feet ______
2. digging 10 holes a day _____
3. writing 5 papers ______

Find the absolute value

1. /-3/3 2. /+3/3 3. /-2/

4. /-6/ 5. /+9/ 6. /-15/

7. /=32/ 8. /+32/ 9. /-47/

10. /+78/

Answers

Answer:

1. 6 2. 10 3. 5

for others see below

Step-by-step explanation:

1. 6 feet

2. 10 holes

3. 5 papers

1./-3/3=3*3=9

2. /3/3=3*3=9

3./-2/=2

4./-6/=6

5./9/=9

6. /-15/=15

7. /-32/=32

8. /32/=32

9. /-47/=47

10. /78/=78

PLZ HElp 24nanjoshua PLZZZZ

Answers

Answer: 11/14

Step-by-step explanation:

1/7 = 2/14 (when you time 2 at the top and at the bottom)

2/14 + 9/14 = 11/14

Answer - 11/14
Just do 2/14+9/14=11/14

3.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

f(x) = 6x2 + x − 12

A. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12

B. linear function; linear term: 6x2; constant term: −12

C. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12

D. linear function; linear term: x; constant term: −12

Answers

Answer:

A. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12

Step-by-step explanation:

We have been given the equation

The degree of the given polynomial is 2.

Hence, the function is quadratic.

The term with exponent 2 on x is called the quadratic term. The term with exponent 1 on x is called linear and the term without any variable is a constant term.

Therefore, we have

Quadratic term= 6x^2

Linear term= x

Constant term= -12

9514 1404 393

Answer:

A. quadratic function; quadratic term: 6x²; linear term: x; constant term: −12

Step-by-step explanation:

The squared term (6x^2) is also called the "quadratic" term. The term with x to the first power (no exponent) is the "linear" term. The term with no variable at all is the "constant" term.

It should be no mystery that the quadratic term is 6x^2; the linear term is x; and the constant term is -12.

_____

Additional comment

As with much of algebra, this is about vocabulary and pattern recognition.

the probability that a tin of paint is dented is 0.07 out of 3000 tins of paint,how many would you expect to be dented?

Answers

Answer:

210

Step-by-step explanation:

3000×0.07

Which fractions are equivalent to 1012?

Select each correct answer.

23

56

1224

3036

5060

6084

Answers

Answer:

5/6, 30/36, 50/60

Step-by-step explanation:

10/12 divided by 2= 5/6

10/12•3= 30/36

10/12•5= 50/60

Does anyone know this?

Answers

Answer:

i think c or b I D K

Step-by-step explanation:

The babysitter charges $10 per hour plus $5 for gas to come to the house. Let h represent the number of hours. Which expression represents the total
cost of hiring a babysitter for the evening?

Answers

Answer: 10h+5

Explanation:

10h represents the cost of $10 per hour for h hours, where h is some positive whole number. We tack on the extra $5 to add on the cost of gas.

For example, if the babysitter works for 7 hours, then h = 7. It leads to a cost of 10h+5 = 10*7+5 = 70+5 = 75. The total cost is therefore $75 in this case.

how many diffrent ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a diffrent experiement

Answers

Answer:

Since its different experiment. Then it's permutation,

Therefore it's 20P5 = 1860480 Ways

Write 0.007 as a fraction.
Do not try to simplify your answer.
05
금
Х
5
?

Answers

Answer:

7/1000

Step-by-step explanation:

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