Car repairs: Let be the event that a new car requires engine work under warranty and let be the event that the car requires transmission work under warranty. Suppose that ,P(E) = 0.10 , P(T) = 0.02 and P(E,T) = 0.01 .
(a) Find the probability that the car needs work on either the engine, the transmission, or both.
(b) Find the probability that the car needs no work on the engine.

Answers

Answer 1

Answer:

a) 0.11 =  11% probability that the car needs work on either the engine, the transmission, or both.

b) 0.9 = 90% probability that the car needs no work on the engine.

Step-by-step explanation:

P(E) = 0.10 , P(T) = 0.02 and P(E,T) = 0.01 .

This means that:

Only engine: 0.1 - 0.01 = 0.09

Only transmission: 0.02 - 0.01 = 0.01

Both engine and transmission: 0.01

(a) Find the probability that the car needs work on either the engine, the transmission, or both.

0.09 + 0.01 + 0.01 = 0.11

0.11 =  11% probability that the car needs work on either the engine, the transmission, or both.

(b) Find the probability that the car needs no work on the engine.

Probability of needing work on engine:

0.09 + 0.01 = 0.1

Not needing:

1 - 0.1 = 0.9

0.9 = 90% probability that the car needs no work on the engine.


Related Questions

Answer please don't put wrong answer. 30 points.

Answers

it would be D y=2x +2

D= y=2x+2 that should be the answer

find y. (geometry) thank you :)

Answers

Answer:

32.68346° or 32.7

Step-by-step explanation:

un abuelo dijo a su nieto mira que curioso tu edad es la quinta parte de la mia pero también es igual a la tercera parte de mi edad menos diez años ¿cuántos años tiene el nieto y el abuelo?​

Answers

¿Puedo conseguir la corona? y el abuelo tiene cincuenta y ocho años

Write the following expression in simplest radical form. Plz help

Answers

Answer:[tex]4x^{3}[/tex][tex]\sqrt[3]{25x^{2} }[/tex]

Step-by-step explanation:

What is The least common denominator of 11/12, 7/9, and 2/3

Answers

Answer:

261?

Step-by-step explanation:

LCD = 261

Equivalent Fractions with the LCD

11/29 = 99/261

7/9 = 203/261

2/3 = 174/261

What would the economic situation of the country be if its income from overseas is more than its expenses?
A.
GNP would be higher than GDP
B.
GDP would be higher than GNP
C.
no effect on GNP or GDP
D.
GDP and GNP would be the same

Answers

Answer:

gnp would be higher than gdp

AM I RIGHT? I will mark BRAINLIEST

Answers

Answer:

3

Step-by-step explanation:

The scale factor is actually 3 broski

Answer:

no, its 1/3!!

Step-by-step explanation:

27 x 1/3 = 9

21 x 1/3 = 7

Answer the question plz

Answers

Step-by-step explanation:

58 i think....................

Answer:

Ignore my handwriting and your answer is 58;)

Select the correct answer from each drop-down menu.

Brian has started to invest in the stock market. What does he need to know about reporting dividend income on his tax return?

A taxpayer’s dividend income is reported on Form
. The taxpayer must enter this amount in the
section of a tax return. After all deductions have been subtracted, the amount of taxes due will be calculated based on the
.

Answers

Im not sure about the second one but the first one is 1099-DIV and the last one is taxable income. I can tell you the second one is NOT deductions haha

Answer:

1099-DIV

Income

Taxable Income

Step-by-step explanation:

Plato

Could you help me please? This is a thing for my sons math homework.

Answers

Answer:

See below.

Step-by-step explanation:

I've never seen one asked quite this way, but I think I have it figured out.

The objective here is to get the right answer for each square. The answer is either the one next to the 'x', which means you put an 'x' in the tic-tac-toe square or the answer is the one next to the 'O', which means you put an 'O' in the tic-tac-toe square.

I will number them boxes 1-3 on the top row, 4-6 for the next, and 7-9 for the bottom row.

Box 1: In a fraction, you subtract the bottom exponent from the top exponent, so the proper exponent is 10 - 2 = 8. That is an O for g^8.

Box 2: A power raised to a power - multiply the exponents. 2*6=12. That is an X for m^12 for box 2.

Box 3: for multiplying the same base, you add the exponents. 4+5=9. That gives us y^9, which is a X for box 3.

Box 4: j is a factor four times, so that is j^4. That puts an O in Box 4.

Box 5: In a fraction, you subtract the bottom exponent from the top exponent, so we get -2 - (-6) = -2 + 6 = 4. The correct expression is h^4, so we have an X for box 5.

Box 6: A power to a power, you multiply the exponents so the first part becomes m^8. Now we have m^8 * m^5. For multiplying the same base, you add the exponents. 8+5=13. That gives us m^13, which puts an O in box 6.

Box 7: The top is a power to a power so we multiply the exponents. 4*5=20. The top is b^20.

On the bottom, for multiplying the same base, you add the exponents. 2+3=5, so the bottom is b^5.

Now we have a fraction, (b^20)/(b^5). In a fraction, you subtract the bottom exponent from the top exponent, so we have 20 - 5 = 15, and thus b^15. That gives us an X for box 7.

Box 8: A fraction IS a division, so we do divisons and fractions the same way. The p^3 on the left is the top (numerator) and the p^2 part is the bottom (denominator). So 3-2=1. But P^1 is just P, so we have an O for box 8.

Box 9: For the numerator, it is a power to a power so we multiply the exponents and get k^12.

For the denominator, we are multiplying the same base, so you add the exponents. 7 + (-5) = 2, and we get k^2 for the denominator

Now we have the fraction of k^12 OVER k^2.  In a fraction, you subtract the bottom exponent from the top exponent. 12-2=10. We get k^10, giving us an X for box 9.

So here is what we get for tic-tac-toe.

0   X   X

O   X   0

X   O   X

We get 3 in a row in boxes 3, 5, and 7. The exponents in those problems are 9, 4, and 15 respectively. The product of thse 3 numbers is 540.

This was a LOT of steps, so I encourage you to check every little multiplication and addition I did.

Hope this helps.

2) The sum of 5x and 2x is at least 14

A.
5x + 2x > 14

B.
5x + 2x < 14

C.
5x + 2x ≤ 14

D.
5x + 2x ≥ 14

Answers

Answer:

b

Step-by-step explanation:

if it is less than 14 then the big side of the arrow would be facing the 14

Answer:

Step-by-step explanation:

5x + 2x > 14= x>2

5x + 2x < 14= x<2

5x + 2x ≤ 14= x≤2

5x + 2x ≥ 14= x≥2

y=7/x, x≠0 need the graph answer!!

Answers

Answer:

so the first picture is it graphed without solving it and the second graph is the answer to it graphed

Step-by-step explanation:

A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x <10 represent the situation.
Which best explains the number of possible solutions to the inequality?
There is one solution because 9 is the only number between 8 and 10.
There are a three solutions because 8, 9, and 10 are possible solutions.
There are a few solutions because there are some fractions and decimals between 8 and 10.
There are infinite solutions because there is always another number between any two numbers.​

Answers

Answer:

There are infinite solutions because there is always another number between any two numbers.​

Step-by-step explanation:

A cuántos metros equivalen 92 kilómetros?​

Answers

Answer:

92000

Step-by-step explanation:

Answer:

92,000

Step-by-step explanation:

1 km=1000 m

So 1 km×92= 92 km

But 1000 m×92= 92,000 m

The table below shows the number of miles Alan biked over time. Alan biked at a constant speed. Find the rate of change.

Answers

Why? I think that he may have biked more.

A force of 192 lb is required to hold a spring stretched 3 ft beyond its natural length. How much work W is done in stretching it from its natural length to 6 inches beyond its natural length

Answers

Answer:

The work done in stretching the spring is 8 lb.ft

Step-by-step explanation:

Given;

Applied force, F = 192 lb

extension of the spring, x = 3 ft

Determine the spring constant from the applied force and extension;

[tex]k = \frac{F}{x} \\\\k = \frac{192 \ lb}{3 \ ft} \\\\k = 64 \ lb/ft[/tex]

When the spring is stretched 6 inches beyond its natural length, the work done is calculated as follows;

x = 6 inches = 0.5 ft

[tex]W = \frac{1}{2} kx^2\\\\W = \frac{1}{2} (64 \ lb/ft)(0.5 \ ft)^2\\\\W = 8 \ lb.ft[/tex]

Therefore, the work done in stretching the spring is 8 lb.ft

I don't understand exponents well best answer gets brainly ​

Answers

Answer:

i think its 125

Step-by-step explanation:

since 5^7 = 78,125 and 5^4 = 625

then it would be 78,125

                           ----------  = 125

                             625

sorry if im wrong ;-;

Giving brainliest I only have 1 try please give out correct answer:)

Answers

I think yes. If not my bad.
It’s not an orderly pair

divide 49 ÷ 8 = and show your work

Answers

Answer:

6

Step-by-step explanation:

Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (6) by the divisor 8 . Subtract 48 from 48 . The result of division of 48÷8 48 ÷ 8 is 6

The required, 49 divided by 8 gives 6 as the quotient and 1 as the remainder.

To divide 49 by 8, you can use long division to find the quotient.
Determine how many times the divisor (8) can fit into the new number (49). In this case, 8 goes into 49 six times. Subtract the result (48) from the number you brought down (49). 49 - 48 = 1. Write the result (1) below the line.  

    6
 _______

8 | 49

   -  48   (8 times 6)

   ______

        1   (Remaining 1 after subtracting)

Therefore, 49 divided by 8 gives 6 as the quotient and 1 as the remainder.

Learn more about divide here:

https://brainly.com/question/31677548

#SPJ6

Katie got a loan for $10,000. The interest rate is 5%. How much interest will she pay in one year?

Answers

Answer: 10,000 x 0.05 = $500

0.05 is equal to 5%

$500

Please brainlyist

Find the distance between the points (5,-6), (-3,12)

Answers

Answer:

[tex]\displaystyle d = 2\sqrt{97}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (5, -6)

Point (-3, 12)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(-3-5)^2+(12+6)^2}[/tex][√Radical] (Parenthesis) Subtract/Add:                                                         [tex]\displaystyle d = \sqrt{(-8)^2+(18)^2}[/tex][√Radical] Evaluate Exponents:                                                                    [tex]\displaystyle d = \sqrt{64+324}[/tex][√Radical] Add:                                                                                               [tex]\displaystyle d = \sqrt{388}[/tex][√Radical] Simplify:                                                                                     [tex]\displaystyle d = 2\sqrt{97}[/tex]

What's 300x490-78+344-23=?
plz help me

Answers

Answer:

141,243

Step-by-step explanation:

1. Use PEMDAS

(300)(470) - 78 + 344 - 23 (Do muti first)

141,000 - 78 + 344 - 23 (You can do any order now)

141,243

The answer is 147243

pls help soon make it in like 3 mins or less pls

Answers

The answer is 52 if your adding

Help would be much appreciated ​

Answers

X = 68 is your answer hope this helps!

88=66+7-5x89 this question makes no scence

Answers

Answer:

x = -3/89

Step-by-step explanation:

when multiplying or dividing by a negative coefficient, you must flip the sign.

•True
or
•False


Answers

Answer:

I think the answer is True!

Step-by-step explanation:

Hope this helps

Answer:

true

Step-by-step explanation:

a negative times a negative is a positive same with dividing a negative by a negative

a positive times a negative is also negative

Seventy-two percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 66% have an emergency locator, whereas 80% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.)
a) If it has an emergency locator, what is the probability that it will not be discovered?
b) If it does not have an emergency locator, what is the probability that it will be discovered?
c) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what is the probability that 7 of them are discovered?

Answers

Answer:

a) 0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.

b) 0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.

c) 0.064 = 6.4% probability that 7 of them are discovered.

Step-by-step explanation:

For itens a and b, we use conditional probability.

For item c, we use the binomial distribution along with the conditional probability.

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

a) If it has an emergency locator, what is the probability that it will not be discovered?

Event A: Has an emergency locator

Event B: Not located.

Probability of having an emergency locator:

66% of 72%(Are discovered).

20% of 100 - 72 = 28%(not discovered). So

[tex]P(A) = 0.66*0.72 + 0.2*0.28 = 0.5312[/tex]

Probability of having an emergency locator and not being discovered:

20% of 28%. So

[tex]P(A cap B) = 0.2*0.28 = 0.056[/tex]

Probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.056}{0.5312} = 0.105[/tex]

0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.

b) If it does not have an emergency locator, what is the probability that it will be discovered?

Probability of not having an emergency locator:

0.5312 of having. So

[tex]P(A) = 1 - 0.5312 = 0.4688[/tex]

Probability of not having an emergency locator and being discovered:

34% of 72%. So

[tex]P(A \cap B) = 0.34*0.72 = 0.2448[/tex]

Probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2448}{0.4688} = 0.522[/tex]

0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.

c) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what is the probability that 7 of them are discovered?

p is the probability of being discovered with the emergency recorder:

0.5312 probability of having the emergency recorder.

Probability of having the emergency recorder and being located:

66% of 72%. So

[tex]P(A \cap B) = 0.66*0.72 = 0.4752[/tex]

Probability of being discovered, given that it has the emergency recorder:

[tex]p = P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4752}{0.5312} = 0.8946[/tex]

This question asks for P(X = 7) when [tex]n = 10[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{10,7}.(0.8946)^{7}.(0.1054)^{3} = 0.064[/tex]

0.064 = 6.4% probability that 7 of them are discovered.

Witch triangle o be an acute angle

Answers

Answer:

An acute triangle

Step-by-step explanation:

A triangle that is 47°

n
The Federal Reserve
manages the nation's currency and money supply by
manipulating interest rates and acting as a lender to banks.
overseeing bank collections and payments on loans.
dictating criteria and setting loan terms for banks.
offering investment advice and adjusting interest rates.

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Financials.

Hence,according to the statement given above, the correct answer is

option 1.)

===> Manipulating interest rates and acting as a lender to the banks.

hurry answer quick I need help

Answers

Answer:

Step-by-step explanation:

Can u help me too

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