Mathematics College

Each year, ratings are compiled concerning the performance of new cars during the first 90 days of use. Suppose that the cars have been categorized according to whether a car needs warranty related repair (yes or no) and the country in which the company manufacturing a car is based ( in some country X or not in country X). Based on the data collected, the probability that the new car needs a warranty repair is .08, the probability that the car is manufactured by a company based in country X is .60, and the probability that the new car needs a warranty repair and was manufactured by a company based in country X is .025. Use this information to answer (a) Through (D)

a.)Suppose you know that a company based in country X manufactured a particular car. What is the probability that the car needs warranty repair?

b.)Suppose you know that a company based in country X did not manufacture a particular car. What is the probability that the car needs warranty repair?

c.)Are need for warranty repair and location of the company manufacturing the car independent?

Yes or NO or Not enough information

Answers

Answer 1

Answer:

1. 0.0417

2. 0.1375

3. no

Step-by-step explanation:

lets define:

A as the probability that a car needs a warranty repair.

B as probability taht the car is manufactured by a company that is based in country X

we have the

prob(A) = 0.08

prob(B) = 0.60

prob(A∩B) = 0.025

a. we are to calculate the probability taht a car manufactured in country X needs a warranty repair.

= p(AIB) =

[tex]P(\frac{AnB}{p(B)}) \\[/tex]

= 0.025/0.60

= 0.0417

2. Probability that car needs warranty repair given it was not manufactured in country X.

P(AIB')

= p(A∩B')/P(B')

= 0.08-0.025/1-0.60

= 0.055/0.40

= 0.1375

3. no, Need for warranty repair and location are not independent

Answer 2

The probability that the car needs warranty repair is 0.0417, the probability that the car needs warranty repair was not manufactured in company X is 0.1375 and no, there is no need for warranty repair and the location of the company manufacturing the car is not independent.

Given :

Ratings are compiled concerning the performance of new cars during the first 90 days of use.Based on the data collected, the probability that the new car needs a warranty repair is .08.The probability that the car is manufactured by a company based in country X is .60.The probability that the new car needs a warranty repair and was manufactured by a company based in country X is .025.

a) The probability that the car needs warranty repair is given by:

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

[tex]\rm P(A|B) = \dfrac{0.025}{0.60}[/tex]

P(A|B) = 0.0417

b) The probability that the car needs warranty repair was not manufactured in company X is given by:

[tex]\rm P(A|B') = \dfrac{ P(A\cap B')}{P(B')}[/tex]

[tex]\rm P(A|B') = \dfrac{0.08-0.025}{1-0.60}[/tex]

P(A|B') = 0.1375

c) No, there is no need for warranty repair and the location of the company manufacturing the car is not independent.

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Related Questions

PLEASEEEE HURRYY
On Giana's map of Texas, there is a close up view of the Dallas/Fort Worth area. The map scale is 1 inch = 3.5 miles. From Garland to Mansfield is 52.5 miles. How far apart are these two cities on the map?

Answers

Answer:

The distance between Garland and Mansfield on the map is 15 inches.

Step-by-step explanation:

On Giana's map of Texas, the scale is 1 inch = 3.5 miles. To determine the distance between Garland and Mansfield on the map, we can use the scale to find the corresponding measurement. Given that the actual distance between these two cities is 52.5 miles, we can set up a proportion:

1 inch / 3.5 miles = x inches / 52.5 miles

Cross-multiplying, we have:

3.5 miles * x inches = 1 inch * 52.5 miles

3.5x = 52.5

Dividing both sides by 3.5, we find:

x = 15

Therefore, the distance between Garland and Mansfield on the map is 15 inches.

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John wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.50 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.40 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. John wants to buy enough boxes to have at least 500 units of vitamins, 600 units of minerals, and 1200 calories. How many boxes of each cereal should he buy to minimize his cost?

Answers

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

PLS ANSWER WILL GIVE BRAINLIEST IF CORRECT (NO LINKS)

Identify the number of vertices, edges, and faces of the polyhedron. Use your results to verify Euler's formula.

Answers

Answer:

The third option

Step-by-step explanation:

I need help with this

Answers

Answer:

B. {1, 6, 7, 8} ∩ {6, 8, 9} = {6, 8}

Step-by-step explanation:

The intersection of two sets is a set containing the elements that are present in both sets.

{1, 6, 7, 8} ∩ {6, 8, 9} = {6, 8}

Drag each length to the correct location on the image. Each length can be used more than once, but not all lengths will be used.
What are the missing segment lengths shown in the image?
14√2
14
45
14√2
14√3
45
7√2 7√3

Answers

The legs of the big triangle are 14 units and the legs of the small triangle are 7√2 units

How to determine the lengths of the missing segments

From the question, we have the following parameters that can be used in our computation:

The right triangles

The right triangles are special triangles with acute angles of 45 degrees

This means that the relationship between the legs and the hypotenuse of the triangles is

Hypotenuse = Leg√2

Leg = Hypotenuse/√2

Using the above as a guide, we have the following:

Leg = 14√2/√2

Leg = 14

i.e. the legs of the big triangle are 14 units

Leg = 14/√2

Leg = 7√2

i.e. the legs of the small triangle are 7√2 units

See attachment for the triangles

Answers

The contrapositive of the original conditional statement is B. If a number does not have a negative cube root, then the number is not negative.

How to find the contrapositive ?

In logic, the contrapositive of a conditional statement is a logically equivalent statement that switches the positions of the hypothesis and the conclusion, while also negating both.

The contrapositive maintains the logical validity of the original statement. If the original statement is true, then the contrapositive is also true, and vice versa. "If a number is negative, then it has a negative cube root." The contrapositive of this statement would be: "If a number does not have a negative cube root, then the number is not negative."

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here is a rhombus.A strait line joining the midpoints of two of its sides are work out the size of angle a

Answers

The size of angle can be expressed as 130 degrees

How can the side of the angle be worked out?

Two angles are said to be supplementary angles because they combine to generate a linear angle when their sum is 180 degrees.

Considering the given figure, if we look at the right top triangle we can deduced that it is an isosceles, then the supplementary angle of angle α can be calculated as

(180 - 80)/2

= 50 degrees.

Hence, α = 180 - 50

= 130 degrees.

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50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

Answer:

A. Because it would simplify this equation.

A bird sanctuary has 14 bags of bird seed. Each bird feeder holds 16 of a bag.

How many bird feeders can be filled with the bird seed?

Answers

k bro i gochu

the answer is 84 man,

do good on ur hw

also can i get a pizza

Find the surface area of the regular pyramid.

A square pyramid. The length of the base is 1 inch. The height of each triangular face is 2 inches.

Answers

Answer:

Love helping people so here's the answer :)

Step-by-step explanation:

A square pyramid has 5 faces: 1 square base and 4 triangular faces. The surface area of the pyramid is the sum of the areas of all its faces.

The area of the square base is 1 * 1 = 1 square inch.

The area of each triangular face is (1/2) * base * height = (1/2) * 1 * 2 = 1 square inch.

Since there are 4 triangular faces, the total area of the triangular faces is 4 * 1 = 4 square inches.

Therefore, the surface area of the pyramid is 1 + 4 = 5 square inches.

John received $200 dollars for his birthday. He went to Greenbriar Mail and purchased a pair of tennis shoes for $75.00. Then he went to the Cookie Store and bought $10.00 worth of cookies. Going to the car, John looked down and found $20.00 on the ground. How much money does John has now?

Answers

John has $135

Explanation:

Subtract 200 and 75 to and you get 125.
Next, subtract 125 and 10 to get 115.
Then, add 115 and 20 to get $135.

Each day, Nicole earns a fixed wage plus extra money for every hour of overtime she works. The graph shows her total pay (in dollars) versus the amount of
overtime (in hours) that she works.
Total pay
(dollars)
I Don't Know
737
Mostly cloudy
Overtime (hours)
Subm
(a) What is Nicole's total pay with 0 hours of overtime?
(b) Choose the statement that best describes how the amount
of overtime and total pay are related. Then fill in the blank.
Search
As the amount of overtime increases, the total pay
decreases.
At what rate is the total pay decreasing?
$ per hour
As the amount of overtime increases, the total pay
increases.
At what rate is the total pay increasing?
$ per hour

Answers

(a) Nicole's total pay with 0 hours of overtime is $737.
(b) The correct statement is: "As the amount of overtime increases, the total pay increases." The rate at which the total pay is increasing is $10 per hour of overtime.

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

3/8 = (3 + AD)/20

8(3 + AD) = 60

24 + 8AD = 60

8AD = 36

A = 4 1/2

B is the correct answer.

Help pls anyone I’m rlly bad at these

Answers

144.) The value of X if the two angles of the triangle are congruent would be = 4. That is option D.

145.) The equation that should be used to find the value of X would be = 13x -15 = 22x + 9. That is option H.

How to determine the value of X when two triangles are congruent?

For question 144.)

Two triangles are congruent means that the angles are equal to each other. That is;

2.3x +25 = 5.8x + 11

Bring like terms together;

5.8x-2.3x = 25-11

3.5x = 14

X = 14/3.5

= 4.

For question 145.)

When two parallel lines are being cut across by a diagonal line a relationship exists between the angles that are formed.

The two given angles are congruent;

That is;

13x -15 = 22x + 9

Therefore the expression that can be used to calculate X would be = 13x -15 = 22x + 9

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The owner of a computer store estimates profits using
the equation P = 4x² - 15x - 20 where P is the profit, in
dollars, and x is the number of
computers sold.
What is the estimated profit when 60 computers are
sold?
$26,400
$15,320
O $14,400
$13,520
$13,480

Answers

Answer:

(e) $13,480

Step-by-step explanation:

You want the estimated profit from selling 60 computers, if the profit from selling x computers is P = 4x² -15x -20.

Profit

Put 60 where x is in the profit equation and do the arithmetic.

The result is an estimated profit of $13,480.

Additional comment

To simplify evaluation, the polynomial can be written in "Horner form:"

P = (4x -15)x -20

Evaluating it this way takes fewer math operations and generally involves smaller numbers.

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Jayda is older than her 12-year-old sister. Write an inequality for j, Jayda's age.

Answers

The inequality states that Jayda's age (j) is greater than 12 i.e., j > 12.

Let j represent Jayda's age.

Since Jayda is older than her 12-year-old sister, we can write the inequality:

j > 12

Thus, the inequality states that Jayda's age (j) is greater than 12.

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WINGSUIT A wingsuit flyer jumps off a tall cliff. He falls freely for a few seconds before deploying the wingsuit and -4.9x² +420, where y is = slowing his descent. His height during the freefall can be modeled by the function y the height above the ground in meters and x is the time in seconds. After deploying the wingsuit, the flyer's height is given by the function y = −3x + 200. deploy the wingsuit?

Answers

The total height of the flyer at any time after deploying the wingsuit would be;

y = -3x + 200 + (-4.9t² + 420),

Now, Based on the given information, we can use the two functions to determine the height of the wingsuit flyer at a particular time.

During the freefall, the height of the flyer can be calculated using the function

y = -4.9x² + 420.

Let's say the flyer falls freely for t seconds before deploying the wingsuit.

Therefore, the height at the moment of deploying the wingsuit would be,

y = -4.9t² + 420.

After deploying the wingsuit, the height of the flyer is given by the function

y = -3x + 200.

We can combine these two functions to get the total height of the flyer at any given time after deploying the wingsuit.

So, the total height of the flyer at any time after deploying the wingsuit would be;

y = -3x + 200 + (-4.9t² + 420),

where x is the time after deploying the wingsuit and t is the time of freefall before deploying the wingsuit.

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7. $60.00 in 5 hours
a. 12 hours for one dollar
b. 5/60
c. $12 per hour
d. $1.20 per hour

Answers

The calculated value of the unit rate of the situation is (c) $12 per hour

Calculating the unit rate of the situation

From the question, we have the following parameters that can be used in our computation:

$60.00 in 5 hours

This means that

Time = 5 hours

Total costs = $60.00

using the above as a guide, we have the following:

Unit rate = Total costs / time

substitute the known values in the above equation, so, we have the following representation

Unit rate = 60.00/5

Evaluate

Unit rate = 12

Hence, the unit rate of the situation is (c) $12 per hour

Answers

4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

How to verify that RSTU is a trapezoid?

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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A field in the shape of a right triangle is bordered on one side
by a lake, on another side by a street, and on a third side by a
tree line.
What angle does this lake make with the street?
Round only your final answer to the nearest degree.
Put just the number in the blank.
Lake
32 ft
Tree Line
18 ft
Street

Answers

Cos = 20/27 = 0.7407

angle that stream makes with the road = 42.2

answer

42 (Round only your final answer to the nearest degree)

What is 2x2 + 1000 x 1000

Answers

Answer: 2x2 + 1000 x 1000 = 1000004

Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also

Answer:

1000004

Step-by-step explanation:

First we do can separate it into the parentheses: (2*2) + (1000*1000)

= 4 + 1000000

= 1000004

At hollywood connection, edgar plays laser tag 6 minutes for every 8 minutes he plays arcade games. If edgar plays arcade games for 48 minutes. for now many minutes will he play laser tag

Answers

Answer:

Step-by-step explanation:

48/8 = 6. 6*6 = 36.

Help pleaseeeeeeeeee

Answers

16800 cubic inches of concrete is needed to make the stairs

How many cubic inches of concrete is needed to make the stairs?

Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.

The given stairs can be divided into 3 rectangular prisms as shown in the image attached.

Volume of a concrete needed = Volume of A + Volume of B + Volume of C

Volume of a rectangular prism = l × w × h

where l is the length, w is the width and h is the height

For A:

l = 40, w = 10 in and h = 7 + 7 + 7 = 21 in

For B:

l = 40, w = 10 in and h = 7 + 7 = 14 in

For C:

l = 40, w = 10 in and h = 7 in

Volume of a concrete needed = (40 * 10 * 21) * (40 * 10 * 14) + (40 * 10 * 7)

Volume of a concrete needed = 8400 + 5600 + 2800

Volume of a concrete needed = 16800 in³

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Your parents are considering renting you an apartment instead of paying room and board at your college. The month-
to-month contract is $539.00/month and the annual contract is $467.00/month. If you break the annual contract,
there is a 2-month penalty.

3. How much do your parents save if you stay a whole year by entering into an annual contract
rather than a month-to-month contract?

4. If you enter into an annual contract but decide to leave after 5 months, how much do your parents lose by not doing the month-to-month contract?

Answers

Answer:

Step-by-step explanation:

3: ANSWER = 864

4; ANSWER = I DONT KNOW TNH YOU JUST HAVE TO MULTIPLY AMD THEN SUBRACT BOTH

Part D
Now use GeoGebra to measure the lengths of segments AB and BC and calculate the area of rectangle ABCD. Do you get the same result that you obtained in part C? Take a screenshot with the lengths of the sides labeled and the area displayed, and paste it below.

Answers

Answer:

id ont givea

efijhaoieuvbhzoiubhoewivbawzoufhbealivjhbr

Step-by-step explanation:

idsifui piuh vSeth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity: