1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Novay_Z [31]
2 years ago
6

An automobile manufacturer is concerned about a possible recall of its best selling four-door sedan. If there was a recall there

is a probability that a defect is in the brake system, in the transmission, in the fuel system and in some other area. Part 1 What is the probability that the defect is in the brakes or the transmission system if the probability of defect in both the systems simultaneously is
Mathematics
1 answer:
goldfiish [28.3K]2 years ago
7 0

Complete question is;

An automobile manufacturer is concerned about a possible recall of its best - selling four-door sedan. If there were a recall, there is a probability of 0.25 of a defect in the brake system, 0.18 of a defect in the transmission, 0.17 of a defect in the fuel system, and 0.40 of a defect in some other area.

(a) What is the probability that the defect is the brakes or the fueling system if the probability of defects in both systems simultaneously is 0.15?

(b) What is the probability that there are no defects in either the brakes or the fueling system?

Answer:

A) 0.27

B) 0.73

Step-by-step explanation:

Let B denote that there is a defect in the break system

Let T demote that there is a defect in transmission

Let F denote that there is a defect in the fuel system.

Let P denote that there is a defect in some other area.

Now, we are given;

P(B) = 0.25

P(T) = 0.18

P(F) = 0.17

P(O) = 0.40

A) We are given that probability of defects in both brakes and the fueling system simultaneously is 0.15.

Thus, it means; P(B ⋂ F) = 0.15

Now, we want to find the probability that the defect is the brakes or the fueling system. This is expressed as;

P(B ⋃ F) = P(B) + P(F) - P(B ⋂ F)

Plugging in the relevant values to give;

P(B ⋃ F) = 0.25 + 0.17 - 0.15

P(B ⋃ F) = 0.27

B) We want to find the probability that there are no defects in either the brakes or the fueling system.

This is expressed as;

P(B' ⋃ F') = 1 - P(B ⋃ F)

Plugging in relevant value;

P(B' ⋃ F') = 1 - 0.27

P(B' ⋃ F') = 0.73

You might be interested in
If a normal distribution has a mean of 44 and a standard deviation of 8, what is the zscore for a value of 50
Misha Larkins [42]

Answer:

0.75

Step-by-step explanation:

Z-score tells the no. of standard deviations a data point is from the mean.

the formula for z score is given by

z-score= (data value - mean) / standard deviation

Given:

mean=44

standard deviation= 8

data point=50

putting the values of mean(44), standard deviation(8) and given data value(50) in the above equation

z-score= (50-44)/8

           = 6/8

           =0.75 !

5 0
2 years ago
Write a proportion that you can use to convert 60 inches to centimeters. any answrs?
Nezavi [6.7K]
How many centimeters in a inch?

1/2.54 = 60/x
2.54 * 60 = x
x= 152.40
8 0
3 years ago
Read 2 more answers
PRE-ACTIVITIES/PRE-TEST
MrRissso [65]

Answer:

Step-by-step explanation:

★1. The farmers' crops are destroyed when there are heavy rains which

result to flooding.

★2. Loss of lives and damage to properties happen due to fiooding and

landslides

★3. Thousands of families become homeless.

•4. Fishermen can go fishing and abundant catch awaits them.

★5. The power supply is cut off for several days as falling trees destroy the

electric posts and power lines.

★6. People lose their homes and means of livelihood.

•7. The prices of basic commodities become cheaper.

•8. People visit malls for shopping.

•9. A few houses of first-class materials are partially damaged,

•10. Children play on the playground.

5 0
3 years ago
Consider the function f(x) defined by the finite set f(x)={(−2,5),(0,4),(1,−3)}. Graph the function f(x) and the transformation
Lelu [443]

let's calculate it step by step.

I'll assume that the function we look for is quadratic, because we only got 3 points

I plotted the 3 points for checking the equation later, and some intuited insight. see screenshot 1

let's write the general form of quadratic equations:

f(x) = a*x² + b*x + c

our goal is to correctly determine a, b and c

since we know from the 2nd point that

f(0) = a*0² + b*0 + c = 4

we can say

<em><u>c = 4</u></em>

this one comes almost for free

now to the next point, the 3rd one

f(1) = a*1² + b*1 + 4 = -3

we can write it as

a + b + 4 = -3

we can rearrange that to

<em><u>a = -b -7</u></em>

lastly, to the first point

f(-2) = a*(-2)² + b*(-2) + 4 = 5

simplified to

4a -2b + 4 = 5

since sort of defined a, let's plug it into our newest equation

4*(-b-7) -2b +4 = 5

we just swapped a for what its equal to.

now we just got numbers and b's

simplify it to

-4b -28 -2b +4 = 5

-6b -24 = 5

-6b = 29

<em><u>b = -29/6</u></em>

now we use the exact value of b to plug it into the rather simple equation from earlier. into this one

a = -b -7

a = -(-29/6) -7

a = 29/6 -42/6

<em><u>a= -13/6</u></em>

now that we got a, b and c we can write the whole equation

<em><u>f(x) = -13/6*x² -29/6*x +4</u></em>

see the graphic check in screenshot 2

second part of the problem:

if we want to move the whole graph 4 units down, we effectivly just cancel the +4 part

g(x) = f(x) -4 = f(x) = -13/6*x² -29/6*x +4 -4

<em><u>g(x) = -13/6*x² -29/6*x</u></em>

see screenshot 3 for the graph

5 0
2 years ago
Calculate the quotient of 54256/45 round to the nearest tenth
vampirchik [111]

Answer:

3.4

Step-by-step explanation:

will 3.4 is is rounded of 54256 in decamal

7 0
2 years ago
Other questions:
  • 2.
    14·1 answer
  • If 80 is 80% of a value, what is that value
    11·1 answer
  • What is the value of x in the equation 5.5x = 17.6?<br> 3.2<br> 12.1<br> 23.1<br> 96.8
    15·2 answers
  • Miranda bought a square frame that has an area of 30 square inches what is the approximate side lenght of the frame
    7·2 answers
  • What is 5x5x5 I Just want to know what is the answer to make sure my answer is the same as the one y’all are telling me
    11·2 answers
  • Ok pls help i’m so bad at this
    5·2 answers
  • Guys can you please HELP!!?
    13·1 answer
  • Find all possible values of each expression if you know that 3 &lt; a &lt; 4<br><br>--&gt; -a
    15·1 answer
  • Which situations shows a constant rate of change?
    13·1 answer
  • What is the additive inverse of the number represented by A​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!