A car producer stocks three types of tires: a, b, and c. Let p(a) = 0. 40, p(b) = 0. 15 and p(c) = 0. 45. The percentage of defective tires is 2%, 1% and 5%, respectively. Someone picks a tire off the shelf at random and it is brand a. If you want to know the probability that it is a defective tire (event d), which formula would you use?.

Answers

Answer 1

The formula which we would use to know the probability that it is a defective tire of brand A is P(A|D) = P(D|A)P(A) / P(D). P(D) is the probability that a tire produced is defective.

What is probability?

Probability is a numerical description of how possible an event to happen. Tha value of probability is between 0 to 1. Zero probability means something is impossible to happen. Probability 1 shows certainty.

A car producer stocks three types of tires. They are A, B, and C.

P(A) = 0.40P(B) = 0.15P(C) = 0.45

The percentage of defective tires is 2%, 1% and 5%, respectively. Someone picks a tire randomly and he gets brand A.

Find the formula to know the probability that it is a defective tire!

The options are

a) P(A|D) = P(D|A)P(A) / P(D)

b) P(D|A) = P(A|D)P(D) / P(A)

c) P(A|D)= P(D/A)P(D) / P(A)

d) P(D|A)= P(A|D)P(A) / P(D)

From the information, we get:

P(D|A) = 2% = 0.02P(D|B) = 1% = 0.01P(D|C) = 5% = 0.05

The probability that it is a defective tire of brand A = P(A|D). The formula is

P(A|D) = P(A∩D) / P(D)

P(A|D) = P(D|A)P(A) / P(D)

Hence, if we want to know the probability that it is a defective tire, the formula would be P(A|D)= P(D|A)P(A) / P(D).

The answer is (a).

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Related Questions

Help me out plz ????

Answers

96 cm^2

Each side has an area of 24 cm^2, so just multiply that by 4

Which of the following numbers has the smallest value?

19.45
19.445
19.5
19.454

Answers

Answer:

19.445

Step-by-step explanation:

It’s answer b 19.445

Find the lowest common multiple. 4 and 22

Answers

Answer:

44

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

hope this helps

Ron purchases $32,000 worth of stock on his brokers advice and pays his broker a 1.25% broker fee. How much did he pay his broker! Show work please !!

Answers

Ron would have to pay his broker $400 because 1.25 percent of 32,000 is 400
32000 x 0.0125 = 400

Two learners are planning to make baskets to raise money for the honors society at their school. Marcia will make baskets out of palms. Norma plans to make baskets out of pine straw. Together, they have $100 to spend on supplies.

The palm baskets cost $4 to make and will sell for $20.
The pine straw baskets cost $3 to make and will sell for $17.
The learners agree that they will each make at least 14 items. Let x represent the number of palm baskets and let y represent the number of pine straw baskets.

Answers

Answer:

3

Step-by-step explanation:

Pretty sure it is the third but sorry if im incorrect

In ΔJKL, l = 920 inches, j = 880 inches and ∠K=157°. Find the length of k, to the nearest inch.

Answers

Answer:

1764

Step-by-step explanation:

Answer:

1764

Step-by-step explanation:

Delta Math

Juanita borrowed $600 to purchase a new computer. She was charged 7% interest for two years. She used the simple interest formula to find the interest.

I = 600(7)(2)

What error did Juanita make and how will her error affect the interest she calculates? Explain
{_____________________________

whoever does best get brainliest

Answers

Answer:

The correct formula should be I= 600(0.07)(2). Juanita made a very common error, she didn't put the percentage of interest in decimal form; or she didn't put the percent sign on it so we know to put it in decimal form. Her error will make a big difference; with using her calculations the answer would be $8,400. With the correct formula the answer is $84.

Hope this help! :)

Given :-

Juanita borrowed $600 .Rate of Interest = 7% .Time = 2yrs .

To find :-

Error made by her.

Answer :-

As we know that the formula for Simple interest is ,

SI = P*R*T / 100

Substitute ,

I $600* 7 * 2 / 100 I = $ 84 .

So here she did not write 7 % as 7/100 instead she wrote 7 .

Factorize:36 X ^2 + 36 X + 8 / 2 x - 1 pls help me answer thisssss by tonight plsss ​

Answers

Answer:

 36X2 + 40X − 1 = 0

Chloe earned a grade of 87% on her multiple choice math final that had a total of 200
problems. How many problems on the final exam did Chloe answer correctly?

Answers

200 x 0.87 = 174

She answered 174 questions correctly.

Answer:

Chloe answered 174 problems correctly.

Explanation:

To find percentage, you would multiply the percentages decimal to the total.

0.87x200=174

7x< 21 Im on khan academy so i need help

Answers

Answer:

x< 3

7x<21

Divide each term in 7x<21 by 7.

Cancel the common factor of 7.

Divide 21 by 7.

The result can be shown in multiple forms.

Inequality Form:

x< 3

Interval Notation:

(−∞, 3)

Convert 64°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C= 5 (F-32)
P=C+32

Answers

The answer to your question is
Celsius = 17.7

Lita has 4 bananas and Liza has 8 bananas. They give some bananas to their
friends. What is the biggest number of bananas each of their friends get if each of
them receive the same number of bananas?
1. What is asked for in the problem?
2. How will you solve the problem?
3.What is the answer to the problem?
Eggs are sold in trays of 4 and 6. What is the smallest number of eggs that can
be sold using the trays?
4.How will you solve the problem?
5.What is the answer to the problem?




pa help po please kailangan na po kase e ​

Answers

Answer:

hi kpop fan

Step-by-step explanation:

she is blackpink jisoo in your profile pick right

Answer:

they will receive 4 banana

PLE HELP ASAP
WILL MAKR BRAINLIEST​

Answers

No. Because a function can only be a function when the x values are different. It is fine for y values to be same, but you cannot have the same input.

Answer:

no

Step-by-step explanation:

bc in order for the size of a pack to be represented as the function of ots price, you need to have the same ratio for every pack

but if you do the math

2.30/1000=0.0023

1.70/850=0.002

they do not have the same ratio

so no

Write and equation of the line in slope intercept form that passes through the points. (0,1) (2,4)

Answers

y = 3x + 1

slope: (y2-y1)/(x2-x1) = (4-1)/(2-1) = 3/1 = 3

point slope form:
y-y1 = m (x-x1)
y-1 = 3 (x-0)
y-1 = 3x
y = 3x + 1

Taylor is decorating for a party. She cuts 5 equal-length streamers from a strip of yellow paper that is 9 feet long.?

Answers

Answer: 1 4/5 feet

Step-by-step explanation:

Here's the complete question:

Taylor is decorating for a party. She cuts 5 equal-length streamers from a strip of yellow paper that is 9 feet long. How long is each streamer in fraction form?

The length of each streamer will be gotten by dividing the length of the strip of yellow paper by the number of streamers. This will be:

= 9 feet / 5

= 1 4/5 feet

Therefore, the length of each streamer is 1 4/5 feet.

Help me plsssssssssssssssssssssssssssssssssss

Answers

Answer:

One inch would represent 100 miles

Answer: 1 inch is 100 miles

Step-by-step explanation:

1/4 times 4 is 1 right so 25*4=100

Susanna's family traveled 5 7 of the distance to her grandmother's house on Saturday. They traveled 1 2 of the remaining distance on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?

Answers

Answer:

1/7

Step-by-step explanation:

Please write these fractions as 5/7 and 1/2.  5 7 and 1 2 are incomplete and confusing.

On Saturday the distance traveled was 5/7 of the total distance.

2/7 of that total was left for Sunday.  Half of 2/7 is 1/7.

1/7 of the total distance was traveled on Sunday.

A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 2 tables is $22. The total cost to rent 3 chairs and 8 tables is $71. What is the cost to rent each chair and each table?​

Answers

Answer:

The cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Step by step:

A party rental company has chairs and tables for rent. The total cost to rent

A party rental company has chairs and tables for rent. The total cost to rent 4

chairs and 8

tables is $73

. The total cost to rent 2

chairs and 3

tables is $28

. What is the cost to rent each chair and each table?

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By:

Best

Edward C. answered • 02/10/15

TUTOR 5.0 (377)

Caltech Grad for math tutoring: Algebra through Calculus

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Let C = cost to rent each chair

Let T = cost to rent each table

4C + 8T = 73

2C + 3T = 28

Multiply the 2nd equation by (-2) and then add the equations together

4C + 8T = 73

-4C - 6T = -56

2T = 17

T = 17/2 = 8.5

Plug this in to the 1st equation to solve for C

4C + 8(17/2) = 73

4C + 68 = 73

4C = 5

C = 5/4 = 1.25

So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50

The cost to rent each chair and each table are $1 and $8.5 respectively.

Suppose the price of one chair =x

The price of one table =y

What is a linear equation?

Any equation of the form ax+by+c=0 is called a linear equation where a, b, c∈ R.

According to the question, the total cost to rent 5 chairs and 2 tables is $22.

5x+2y=22

Multiplying it by 4 on both sides

20x+8y=88.......(1)

The total cost to rent 3 chairs and 8 tables is $71.

3x+8y=71.........(2)

Subtracting (2) from (1)

17x=17

x=1

So, y=8.5

So, the price of 1 chair =$1

the price of 1 table =$8.5

Hence, the cost to rent each chair and each table are $1 and $8.5 respectively.

To get more about linear equations visit:

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Help me please, I’m a freshman taking a tenth grade course. I’m lost :/

Answers

Answer:

what is the question? Please ask a question.

Please ask here to help !

Sheila is flying a kite with a string that makes a 59-degree angle with
the sand. If the height of the kite above the ground is 97 feet, how
long is the string? (Please use the exact ratio to calculate the missing
side and round your answer to the nearest hundredth.)

Answers

I'm assuming we're looking for the hypotenuse?

[tex]sin = \frac{opp}{adj} [/tex]

[tex] \sin(59) = \frac{94}{hyp} [/tex]

[tex]hyp = \frac{94}{ \sin(59) } [/tex]

[tex]hyp = 109.6635393382 feet[/tex]

The string is 109.66 feet long.

factor the expression below
x^2-49​

Answers

Answer:

(x+7)(x-7)

Mark my answer as Brainlist.

Help a dum person out?

Answers

Answer:

150 i think i dont really understand this question either sorryyy <3

Step-by-step explanation:

bc it has to be less than 150 but the answer also has to be more than 138 so i hope that helped more than the answer i put :)

Answer:

I think It was 123

Step-by-step explanation:

Because i try to add it all four then divide it unto 5 so it was the result but I'm not sure about my answer maybe it will help :)

5 years ago, john was half the age he will be in 8 years. How old is he?

Answers

Answer: John is now 18 years old

Step-by-step explanation:

Let, John's age is now x years.

5 years ago, he was (x - 5) years old

In 8 years, he will be (x + 8) years old

By the given condition,

x - 5 = 1/2 (x + 8)

⇒ 2 (x - 5) = x + 8

⇒ 2x - 10 = x + 8

⇒ 2x - x = 8 + 10

⇒ x = 18

math help please (question 9)
*theres also a hint*

Answers

Answer:what are the answer choices

Step-by-step explanation:

Answer:

Point A = (0,1)  Point B = (1,2)  Point C = (2,4)

Step-by-step explanation:

To find a point's "ordered pair" (x and y coordinates), consider each line a single digit unless the problem states/shows otherwise (ex. if the lines were evidently counting by 2's). Here, we can see each line represents a single digit. First count how many lines to the left/right of the y axis the point is (this will be your x point - ex. point B in this problem has an x valued at 1 because the point was one line to the right of the bold vertical line in the middle (the y axis). If the point is to the left, it is a negative x value, right would be positive, and if the point is on the y axis line. x is 0. You are essentially counting how far along the x axis the point is. Same applies to the y values, given you do the opposite and count how far from the x axis (horizontal bold line) the point is. Above that line is positive, below is negative, and again, if the point is on the x axis (bold horizontal line), the y value is 0. Then simply fill your values in in their corresponding places in the brackets: (x,y).

Hope this helps :) I know math can be especially hard to grasp so it's always okay to ask for help/explanation.

yo 20 points! pls help me out

Answers

Answer:

the top one would be -40x+24, bottom one is x=12

Step-by-step explanation:

uwu

Answer:

a. -40x + 24

b. x = 4

Step-by-step explanation:

-8 * 5x = 40x, -8 * -3 = 24

-5 * -x = 5x

-5 * 4 = -20

40 - 20 = 20

20/5 = 4

Andrew estimates the attendance at the game to be 550 people. There ar
actually 621 people at the game. What is the percent error?

Answers

Answer:

~8.9%

Step-by-step explanation:

3x-4+2x=6+2x-4
What will be the x?

Answers

Answer:

x=2

Step-by-step explanation:

To find the value of x

3x+4 = 2x+6

3x-2x = 6–4

x=2

The value of x is 2.

what is the error in this polynomial x²+9=(x+3)(x+3)?​

Answers

Answer:

(x + 3i)(x - 3i)

Step-by-step explanation:

Wrong statement: x² + 9 = (x + 3)(x + 3)

Correct statement: x² + 9 = x² - (3i)² = (x + 3i)(x - 3i)

Identify the vertex and axis of symmetry of the graph of g(x) = |x|- 8

Answers

the vertex is (0,-8)
im not sure about axis of symmetry but i don’t think it has one

The vertex of the absolute function g(x) = |x|- 8 lies at (0,-8).

What is an absolute function?

The absolute value or modulus of a real number x, denoted by |x|, is its non-negative value regardless of its sign.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the absolute function is g(x) = |x| - 8. The vertex will be calculated by plotting the function on the graph.

From the graph, the vertex of the absolute function lies at the point ( 0,-8). The graph is attached with the answer below.

To know more about an absolute function follow

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Need help!!!! ahaaaaaa

Answers

Answer:

Not sure if I am right but this is what I did. I have attached a picture of me solving the equation. Hope this helps, thank you !!

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