For customers purchasing a refrigerator at a certain appliance store, let A be the event that the refrigerator was manufactured in the U.S., B be the event that the refrigerator had an icemaker, and C be the event that the customer purchased an extended warranty. Relevant probabilities are below.
P(A) = 0.80 P(B | A) = 0.94 P(B | A' ) = 0.79
P(C | A ∩ B) = 0.76 P(C | A ∩ B' ) = 0.56
P(C | A' ∩ B) = 0.68 P(C | A' ∩ B' ) = 0.33

(c) Compute P(B ∩ C).,

Answers

Answer 1

The answers are the following:
P(A)=0.75
P(B|A)=0.9
P(B|A′)=0.8
P(C|A∩B)=0.8
P(C|A∩B′)=0.6
P(C|A′∩B)=0.7
P(C|A′∩B′)=0.3

Related Questions

A video game system that normally sells for $249 is on sale for 15% off

Answers

15% = 0.15

249 x 0.15 = $37.35 ( amount of discount)

249 - 37.35 = $211.65 ( sale price )

A party size bag of tortilla normally coast 3.80. the supermarket has them on sale today for 2.25. what is the percentage of the discount

Answers

% discount = ((sale price)/(regular price) -1)*100%
.. = (2.25/3.80 -1)*100%
.. = (0.5921 -1)*100%
.. = -0.4079*100%
.. = -40.79%

The discount is about 41% from the regular price.

Please help asap! 44 pts (:

Answers

answer choice B is wrong because y-y^1 not y-x^1 which also means that answer choice D is wrong because you cannot do a number minus a negative.
Answer choice A is wrong because y-y^1=m(x-x^1) remember, you cannot subtract a negative so it becomes posotive which means that answer choice C is your best bet
Have a nice day!

In need of some help please.

Answers

Asked and answered elsewhere.
https://brainly.com/question/9168336

Tabitha defines a sphere as the set of all points equidistant from a single point. Is Tabitha's definition valid?

Answers

Answer
YES it is VALID.

Explanation.
In 3 dimension, it can be seen that a sphere is a round solid. It is a round object where the distance from the centre to every point on the surface is equal.
Tabitha says that a sphere is a set of all points equidistant from a single point. This single point must be the centre of the sphere for that definition to be true. This definition is correct.

Answer: Yes, Talid's definition is valid.

Step-by-step explanation:

Definition of sphere:- In geometry , a sphere is a perfectly round three-dimensional shape . It is defined as the set of points that are all at the same distance which is known as radius from a given point in a 3-dimensional space.

Talid's definition:- A sphere as the set of all points equidistant from a single point.

Hence, Talid's definition is valid.

y = 2x2 - 3x - 20?
A) x = -5 and 2
B) x = 5 and -2
C) x = -2.5 and 4
D) x = 2.5 and -4

Answers

2x² - 3x - 20

40
2 20
4 10
5 8

2x² - 8x 5x - 20
2x(x - 4) 5(x - 4)
(2x + 5) (x - 4)
2x + 5 = 0 x - 4 = 0
2x = -5 x = 4
x = -5/2
C) x = -2.5 and 4

The sum of three consecutive odd integers is 153. what is the value of the largest of the integers?

Answers

The answers would be 49,51,and53!

The value of the largest of the integers will be 53.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The sum of three consecutive odd integers is 153.

Let x be the odd number. Then the other two odd numbers will be x + 2 and x + 4. Then the equation will be

x + x + 2 + x + 4 = 153

3x + 6 = 153

3x = 147

x = 49

Then the other two odd numbers will be

x + 2 = 49 + 2 = 51

x + 4 = 49 + 4 = 53

The value of the largest of the integers will be 53.

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PLEASE HELP!
You work for a landscaper that has a customer needing to seed an area of land 80 feet by 40 feet in size. The garden center has 5-pound bags of grass seed. Each bag of seed can cover 25 square yards of land.

You calculate that the area you need to seed is 3200 square feet. You divide by 25 to find that you need 128 bags to seed the area. Is this correct?
A) Yes.
B) No, you need to convert the 3200 square feet to yards by dividing by 3. Then calculate the number of bags.
C) No, you need to convert the 3200 square feet to yards by dividing by 9. Then calculate the number of bags.
D) No, you need to convert the 3200 square feet to yards by multiplying by 9. Then calculate the number of bags.

Answers

1 yard = 3 feet
(1 yard)^2 = (3 feet)^2 ... square both sides
1 yard^2 = 9 feet^2
which means 1 square yard is equal to 9 square feet
think of a square yard as a 3x3 square where each smaller square is 1 square foot.

To convert from square feet to square yards, we multiply by the conversion factor (1 yard^2/9 feet^2). Or put simply we multiply by 1/9 which is the same as dividing by 9

This is why the answer is choice C.

Answer:

Since the mulch is measured in yards you need to either convert the area to be seeded to yards or the bag to feet. No, you need to convert the 3200 square feet to yards by dividing by 9. Then calculate the number of bags.

Tim’s bank requires its customers to have a 4-digit personal identification number (PIN) to access their accounts. If each digit can be a value from 0 to 9, and a 4-digit number is randomly generated, what is the probability that the number 1234 will be Tim’s PIN? A. 1 6,561 B. 1 5,040 C. 10,000 D.1 10,000

Answers

Answer:

1/10000

Step-by-step explanation:

There are 10 choices for each of the 4 digits. This means the total number of choices for the PIN are

10(10)(10)(10) = 10000

The number 1234 will only appear 1 time in this list; this makes the probability it is Tim's PIN 1/10000.

Hence, the probability that the number [tex]1234[/tex] will be Tim’s PIN is

What are digits?

A numerical digit is a single symbol used alone or in combinations, to represent numbers in a positional numeral system.

The name "digit" comes from the fact that the ten digits of the hands correspond to the ten symbols of the common base [tex]10[/tex] numeral system, i.e. the decimal digits.

From the given information,

We have [tex]10[/tex] choices for each of the four digits.

This means that the total number of choices for the PIN is:-

[tex]10(10)(10)(10) = 10000[/tex]

The number [tex]1234[/tex] will only appear one time in this list which makes the probability of the form Tim's PIN [tex]\frac{1}{10000}[/tex].

Hence, the probability that the number [tex]1234[/tex] will be Tim’s PIN is [tex]\frac{1}{10000}[/tex].

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Mark has a bag containing a mixture of 30 green and white marbles. Without looking, he guesses that half of the marbles in the bag are green. He randomly selected 1 marble from the bag, recorded the color, and returned the marble to the bag. After 15 trials, Mark has drawn 10 green marbles and 5 white marbles. Which of the conclusions below is BEST supported by his data?

The bag contains more white than green marbles.

The bag contains 10 green marbles and 20 white marbles.

The bag contains an equal amount of each color.

The bag contains more green than white marbles.

Answers

The answer is D, 'The bag contains more green than white marbles.'

Please SOMEONE help me on this asap!!!
BRAinliEST AVAILABLE TO CORRECT ANSWER
Options from the 1st blank:
Less than, greater than, or the same as

Options for 2nd blank:
Greater than, the same as, less than

Answers

As x increases, the value of p(x) approaches a number that is y-int value of q(x)
y- int of the function p is -2 (one more) the y-int of the function q

What choices there are, then I can answer more exactly

you need to draw the graph for
[tex] { \frac{2}{5} }^{x} - 3[/tex]
it doesn't need to be perfect but there are two
things to keep in mind
first: -3 lowers our graph by three points in the y axis
second: in:
[tex] { \frac{a}{b} }^{x} [/tex]
the bigger a/b is the wider the graph is thereful our graph isn't that big. if you want a better mental picture think of it as the miniature version of q(x). now that we know how p(x) looks like lets answer the questions

1st blank:
greater than

2nd blank:
greater than

25 points need help ASAP!!!

Answers

What is the question

I’m sorry there is no attachment. I am not able to help you.

A triangle has an area of 1102 m², and two of the sides of the triangle have lengths 60 m and 56 m. find the angle included by these two sides.

Answers

A = (1/2)*a*b*sin(C)
1102 m^2 = (1/2)*(60 m)*(56 m)*sin(C)
2*1102/(60*56) = 551/840 = sin(C)
C = arcsin(551/840) ≈ 41°

For this question, any non-integer answers should be entered as decimals, rounded to the hundredths place. Consider this data set. 25.5 26 18.2 15.3 28.5 27 20.7 20.2 26.1 18.2 21.4 17.9 24.3 22.6 19.6 The mean of the data set is , and the sample proportion of numbers less than the mean is .

Answers

Answer:
The mean of the data set is 22.1 , and the sample proportion of numbers less than the mean is 0.53

Explanation:
.
1) Mean

Formula: mean = sum of values / number of data

sum of values = 25.5 + 26 + 18.2 + 15.3 + 28.5 + 27 + 20.7 + 20.2 + 26.1 + 18.2 + 21.4 + 17.9 + 24.3 + 22.6 + 19.6 = 331.5

number of data = 15

mean = 331.5 / 15 = 22.10

2) proportion of numbers less than the mean

This is easier if you order the data. These are the data in growing order:

15.3
17.9
18.2
18.2
19.6
20.2
20.7
21.4
---------
22.6
24.3
25.5
26
26.1
27
28.5

The discontinues line shows the split of the data that are less than the mean.

Those are 8 numbers less than 22.1 and the proportion is:

8 / 15 = 0.53

Answer:

Step-by-step explanation:

this is it

what is (-5.62x - 0.8) + (1.12+ 1.4x)

Answers

-4.22x+0.32 this is the answer and you cant simplify anymore hope this helps

The gas tank I’ll be riding mower holds 5 L of gas how many 5 L gas tanks can you feel from a 20 L gas tank

Answers

(20 L)/(5 L) = 4

You can fill 4 gas tanks of 5 L capacity from a full 20 L gas tank.

Marvin and some of his classmates are painting their classroom at school. They only have gallon of paint left. How much of the paint will each person get if Marvin and 4 of his classmates share the paint equally?

Answers

1/4 of a gallon or 1 quart each

You are a lab technician and it takes you 1 hour 30 minutes to complete a lab test. At this rate, how many hours would it take you to complete 5 of the lab tests?

Answers

The answer is 6.50 you get this by multiplying the number 1.30 and 5.

Me. Adams divides 223 markers equally among the 26 students in his class. He puts the extra markers in a box. What is the least number of markers he puts in the box?

Answers

He puts 15 markers in the box. Hope this helps.

Use a graphing calculator to solve the equation in the interval from 0 to 2π Round your answers to the nearest hundredth. 1.21, 2.26, 3.31, 4.35, 5.40 3.64 1.21, 4.35 0.404, 1,452.5, 3.55, 4.59, 5.64

Answers

The solution to the equation at the given interval is x = 3.64

Using a graphing calculator to solve the equation

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

[tex]3\tan(\dfrac 13\theta) = 8[/tex]

This can be expressed as

[tex]y = 3\tan(\dfrac 13\theta)[/tex]

y = 8

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This point is located at x = 3.64

Hence, the solution to the equation at the inverval is x = 3.64

Question

Use a graphing calculator to solve the equation

[tex]3\tan(\dfrac 13\theta) = 8[/tex]

in the interval from 0 to 2π Round your answers to the nearest hundredth.

George Orwell based his novel, 1984, on the idea of

capitalism

totalitarianism

fascism

constitutional monarchy

Answers

The correct answer is

totalitarianism

Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should the length of the third side be). Write the inequalities for each case. 11.5 and 23.6

Answers

The shortest the third side can be is the difference of the other two sides:
.. 23.6 -11.5 = 12.1
The longest the third side can be is the sum of the other two sides:
.. 23.6 +11.5 = 35.1

12.1 < third side < 35.1

Final answer:

To determine the range for the length of the third side of a triangle with side lengths 11.5 and 23.6, we apply the triangle inequality theorem which tells us that the third side must be greater than 12.1 and less than 35.1.

Explanation:

To find the range for the length of the third side of a triangle when given the lengths of two sides, one must use the triangle inequality theorem. This theorem states that the length of any side of a triangle is less than the sum of the lengths of the other two sides but greater than the absolute difference between these lengths. Given the side lengths of 11.5 and 23.6, the inequalities would be:

The length of the third side must be greater than the absolute difference between 23.6 and 11.5, which is 12.1. Therefore, the third side > 12.1.The length of the third side must also be less than the sum of 23.6 and 11.5, which is 35.1. Therefore, third side < 35.1.

Combining these inequalities gives us the range: 12.1 < third side < 35.1.

What is the angle of 135 degrees equal to in radian measure? Show all work.

Answers

180= pi(sorry I dont have pi sign)
135= x
than cross multiply this to find the value of x
U'll get 3/4pi

How to solve 6+5c=-29

Answers

6 + 5c = -29
•You are trying to find C
Therefore you make C your subject by subtracting 6 on both sides then divide by 5.
Like this ;
6 - 6 + 5c = -29 - 6
5c/5 = -35/5
c = -7
hence
C = -7.

To check or prove that your answer is correct, simply sustitute (-7) into the equation in place of C and if the result is -29 than its the correct answer.
•Check;
6 + 5 (-7) = ?
6 + (-35) = ?

6 - 35 = -29
Your answer is proved so C = -7

The value of equation 6+5c=-29 is c= -7.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Equation: 6+5c=-29

Solving the equation for c

6+5c=-29

Subtract 6 from both side

6 + 5c - 6 = -29 - 6

5c = -35

Divide both side by (5) we get

5c / 5 = -35 /5

c= -7

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Cory has a square piece of wood that is 4.5 feet by 4.5 feet. He wants to make a circular tabletop out of it. What is the area of the largest circle that he can cut out of the wood? Round to the nearest tenth.

Answers

In this circle, the diameter is the same as the length of the side of the square. The diameter is 4.5 ft; so, the radius is 2.25 ft., so. A πr²= π(2.25)²=15.90 ft²

The area of the largest circle is 15.9 feet^2

what is area ?

The area is the amount of space within the perimeter of a 2 D shape. It is measured in square units, such as cm², m², etc.

formula used to find the area is :

A = π r^2

Given : diameter = 4.5 feet

r = d/2

⇒ 4.5 / 2

⇒ 2.25

r = 2.25

A = π × (2.25)^2

A = 3.14 × 5.0625

A = 15.89625 feet^2

round to nearest tenth is :

A = 15.9 feet ^2

Hence , the area of the largest circle is 15.9 feet ^2

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The pentagons JKLMN and PQRST are similar find the length x of TP

Answers

Be more descriptive of the problem

Answer:

the answer is 2.8 assuming you had the same messurments and questions as me

Step-by-step explanation:

Help why did I get this wrong? Corrections!!! Janie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

Answers

The quadratic function is f(x) = 2x^2 + 1.
The line is g(x) = 2x
Use www.cymath.com and enter the following line and press enter.
graph y = 2x^2 + 1; y = 2x

You will see that the line passes through the origin (0, 0), and goes up to the right and stays to the right of the parabola, so the two graphs do not intersect.

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

A(n) =150 x (0.71) n-1; 27.06 cm

x - 2y = 3 5x + 3y = 2 The lines whose equations are shown intersect at which point? (1, -1) (-1, 1) (0, 3/2)

Answers

The lines intersect at (1, -1)

hope it helps!!

Answer: The correct answer is (1,-1).

Explanation:

The given equations are,

[tex]x-2y=3[/tex] ..... (1)

[tex]5x+3y=2[/tex] ..... (2)

Use elimination method to solve the equations.

Multiply equation (1) by 5.

[tex]5(x-2y)=5(3)[/tex]

[tex]5x-10y=15[/tex] ..... (3)

Subtract equation (3) from equation (2).

[tex]5x+3y-(5x-10y)=2-15[/tex]

[tex]5x+3y-5x+10y=-13[/tex]

[tex]13y=-13[/tex]

[tex]y=-1[/tex]

The y-coordinate is -1.

Put y=-1 in equation (1).

[tex]x-2(-1)=3[/tex]

[tex]x+2=3[/tex]

[tex]x=3-2[/tex]

[tex]x=1[/tex]

The x-coordinate is 1.

Therefore the intersection point is (1,-1).

in 56 years, kevin will be 9 times as old as he is right now. how old is he right now?

Answers

Kevin's 7 years old now.

This is because
m + 56 = 9m
9m – m = 56
56/8
7

A+56=9(A)
56+9A
A=7
he will be 7 years old he is pretty old

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Write formulas for these hydrates sodium sulfate decahydrate factor the polynomial3y^39y^2= Which part of the government according to the consititution is made up of justices who make sure that laws are followed How many grams of caf2 would be needed to produce 8.4110-1 moles of f2? How did the communist government prevent nationalism from threatening the new state created by the revolution? Locate the complete gerund phrase and identify its use. Declining an invitation can be difficult. 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How do his actions, decisions, and words relate to the plays structure and themes? In the space below, write a minimum 150-word response analyzing Prince Escalus as a character, as a part of the plays structure, and as he relates to thematic elements and the plays overall message. Include specific examples from the text in your analysis.