A state energy agency mailed questionnaires on energy conservation to 1,000 homeowners in the state capital. Five hundred questionnaires were returned. Suppose an experiment consists of randomly selecting one of the returned questionnaires. Consider the events:
A: {The home is constructed of brick}
B: {The home is more than 30 years old}
In terms of A and B, describe a home that is constructed of brick and is less than or equal to 30 years old.
A ∩ Bc
A ∩ B
(A ∩ B)c
A ∪ B

Answers

Answer 1

Answer:

A ∩ Bc

Step-by-step explanation:

Home constructed of brick:

Event A

Home is less than or equal to 30 years old.

Event B is: {The home is more than 30 years old}

So the event home is less than or equal to 30 years old is the negation(complement) of B. So Bc.

And:

And means intersection.

We have the intersection of events A and the complement of event B, which is represented by:

A ∩ Bc


Related Questions

What is the area of this figure?

Enter your answer in the box.

[_] m²

Answers

Answer: 81 m^2

Step-by-step explanation:

Parallelogram:

9 × 5 = 45

Triangle:

8 × 9 = 72

72 ÷ 2 = 36

Add:

45 + 36 = 81 bro look i even did an explation can u plz mark brainlist

2/3- 4/12?? Please helo

Answers

Answer

0.3

Step-by-step explanation:

i think this is it and hello

Which point represents – 12 on the number line?

Answers

Answer:

Point C

Step-by-step explanation:

Answer:

Point C

Step-by-step explanation:

It is need 1/6 to be 2

42 32 30 32 44 36 45 43 What is the median of this set of data?​

Answers

Answer: 39

Step-by-step explanation:

30 32 32 36 42 42 44 45

Find the area of the shape shown below.

Answers

[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]

Area of Rectangle :

[tex] \boxed{length \times width}[/tex]

[tex]20 \times 10[/tex]

[tex]200[/tex]

Area of Triangle :

[tex] \boxed{ \frac{1}{2} \times base \times height }[/tex]

[tex] \dfrac{1}{2} \times 20 \times 4[/tex]

[tex]10 \times 4[/tex]

[tex]40[/tex]

Area of composite figure :

[tex]Area(triangle) + Area(rectangle)[/tex]

[tex]200 + 40[/tex]

[tex]240 \: \: unit {}^{2} [/tex]

[tex] \#TeeNForeveR[/tex]

Max is mixing oil and gas for his moped. He uses 3.75 liters of gas and 1.5 liters of oil. How many liters of gas are used per liter of oil ?

Answers

Step-by-step explanation:

Recognize youre finding the ratio between litres of gas per litres of oil

per always means a ratio

3.75L gas / 1.5L oil

simplify to get 2.5L gas / 1L oil

5th grade math. correct answer will be marked brainliest

Answers

20 is the least common denominator

Answer:

20

Step-by-step explanation:

5: 5, 10, 15, 20

4: 4, 8, 12, 16, 20

Isabel stacked two wooden blocks as shown. What is the total volume of the stacked blocks?

A. 60 cm3
B. 35 cm3
C. 96 cm3
D. 156 cm3


Answers

9514 1404 393

Answer:

  156 cm³

Step-by-step explanation:

The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.

The front face area is the sum of the triangle area and the rectangle area.

  A = 1/2bh + LW

  A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²

Then the volume is ...

  V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks

A box contains 3 chocolate chips, 5 oatmeal raisin ,and 4 peanut butter cookies.one cookie is randomly selected.what is the probability that a peanut butter cookie will be selected

Answers

Answer:

1/3 or .333 or 33%

Step-by-step explanation

You take the 4 (peanut butter cookies) divided by the total number of cookies (12)

A library sells 600 books for a fundraiser. The library claims that 60% of the books are fiction how many of these books are fiction.

A 10
B 36
C 360
D 600
ASAP PLS!!!!!

Answers

Answer:

C. 360

Step-by-step explanation:

60% = 0.60

600 x 0.60 = 360

360 fiction books

Select all the correct answers.
Natalie buys a new car. At the end of the first month, the odometer on the car reads 800 miles. From past experience, she expects to drive 900 miles per month.

Select all the functions that can be used to find the number of miles, , recorded on the odometer after n months.

Answers

Answer:

(a) [tex]f(n)= 900n -100[/tex]

(b) [tex]f(1) = 800[/tex]; [tex]f(n) = f(n-1) +900[/tex]   for [tex]n \ge 2[/tex]

Step-by-step explanation:

Given

[tex]f(1) = 800[/tex] --- first month

[tex]d = 900[/tex] --- difference in distance covered each month

Required

Find f(n)

To do this, we have:

[tex]a_n = a_1 +d(n -1)[/tex]

Where

[tex]a_1 = f(1) = 800[/tex]

This gives:

[tex]a_n = 800 +900(n -1)[/tex]

[tex]a_n = 800 + 900n - 900[/tex]

Collect like terms

[tex]a_n= 900n +800-900[/tex]

[tex]a_n= 900n -100[/tex]

So, we have:

[tex]f(n)= 900n -100[/tex]

As a recursion, we have:

[tex]f(1) = 800[/tex]

For every other month i.e. [tex]n \ge 2[/tex]

We have:

 [tex]f(n) = f(n-1) +900[/tex]  for [tex]n \ge 2[/tex]

Which means 900 miles plus distance covered in previous month

A blue bag has 2 times as many marbles as a red bag. The blue bag has 6 marbles.

How many marbles are in the red bag?​

Answers

Answer:

3

Step-by-step explanation:

The school nurse would like to compare the daily calorie consumption of some teachers to their weight. The data are given below: Calorie 1960 2160 1530 1690 Weight 75 74 78 80 Calorie 1580 1780 2170 1820 1880 Weight 77 85 79 82 78

Answers

Answer:

hinh nh ul a caanbang

Step-by-step explanation:

Calorie consumption increases, and weight tends to increase slightly, but the relationship is not very strong.

How to compare data?

To compare the daily calorie consumption of teachers to their weight, we can create a scatter plot of the given data, where the calorie consumption is plotted on the x-axis, and the weight is plotted on the y-axis.

Each point on the scatter plot represents a teacher, and the position of the point shows the teacher's calorie consumption and weight.

From the scatter plot, we can see that there is no clear pattern or trend between the calorie consumption and weight of the teachers. However, we can calculate the correlation coefficient between the two variables to quantify the strength and direction of the relationship.

Using a calculator or a spreadsheet program, we can find that the correlation coefficient between calorie consumption and weight is approximately 0.07, which indicates a weak positive correlation.

This means that as calorie consumption increases, weight tends to increase slightly, but the relationship is not very strong.

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A jar of marbles has 27 green marbles. This represents 30% of the marbles in the jar. How many total marbles are in the jar? Please someone hurry with the answer.

Answers

Answer:

90 i think

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

divide 27 by thirty then multiply by 100

Please HELP!!!!!
I need help ASAP!!!!!!!
HELP!!!!!!!!

Answers

Answer: Choice C)

The variable y is on one side of the equation. The expression on the other side of the equation shows the relationship between x and y

In other words: y is all by itself on one side, while x is buried in an expression on the other side.

For instance, one such equation could be y = 2x+5.

In assessing the validity of any test of hypotheses, it is good practice to a. examine the probability model that serves as a basis for the test by using exploratory data analysis on the data. b. determine exactly how the study was conducted. c. determine what assumptions the researchers made. d. all of the above.

Answers

Answer:

The Correct option is - d. all of the above.

Step-by-step explanation:

To find - In assessing the validity of any test of hypotheses, it is good practice to

a. examine the probability model that serves as a basis for the test by using exploratory data analysis on the data.

b. determine exactly how the study was conducted.

c. determine what assumptions the researchers made.

d. all of the above.

Proof -

All the Given options are correct to study the validity of a hypothesis test.

So,

The Correct option is - d. all of the above.

If your earned income for 2021 will be $84,686, Calculate what you will pay
in Social Security and Medicare taxes if Social Security is taxed at 6.2% at a
maximum taxable income of $142,800 and Medicare is taxed at 1.45%.

Answers

Answer:

5250.53 social security, 1227.95 Medicare

Step-by-step explanation:

84686x.062=5250.53 in social security

84686x.0145=1227.95 in Medicare

Which of the following is the solution to the compound inequality below?
3x + 4 213 or 2x-13-11

Answers

Answer:

C. x is greater than or equal to 3 or x is less than or greater than -5

1. Which is greater 5/6 or 6/9

Answers

Answer:

5/6

Step-by-step explanation:

5/6=0.833

6/9=0.667

There for 5/6 is greater than 6/9

When a hockey player attempts a shot he is 26 feet from the left post of the goal and 30 feet from the right post. The distance between a hockey goals posts is 6 feet. What is the players shot angle to the nearest degree?
A. 15 degrees
B.13 degrees
C. 11 degrees
D.9 degrees

Answers

Your answer will be 11 degrees


In a right angled triangle, the ratio of the acute
Three angles of a triangle are (3x +12). (2x - 38), (x + 10
value of each angle.
tion angle in 4P Find the​

Answers

Answer:

[tex](3x + 12) + (2x - 38) + (x + 10) = 180 \degree \\ 6x - 16 = 180 \\ 6x = 196 \\ x = 32.6 \\(3x + 12) : = > 110 \degree \\ (2x - 38) : = > 27.3 \degree \\ (x + 10) : = > 42.6 \degree[/tex]

answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

5x²-2x+7+2x²+6x-95x²+2x²-2x+6x+7-97x²+4x-2

so, 7x²+4x-2 is yr answer.

hope it helps.

stay safe healthy and happy.

PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE U BRAINLIEST IF ITS CORRECT NO LINKS PLEASE no guessing ;) rip my points i have 6 now ): IM CRYING

Answers

Answer:

5(b+3)

Step-by-step explanation:

you are multiplying the sum of b and 3 by 5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

i think the correct answer 5(b+3)

Which statement correctly compares the graph of function g with the graph of function ?
f(3) = ef - 4
-ber - 4
O A. The graph of function gis a vertical compression of the graph of function f.
OB. The graph of function g is a horizontal shift of the graph of function fto the left.
O c. The graph of function g is a horizontal shift of the graph of function fto the right.
OD.
The graph of function gis a vertical stretch of the graph of function f.

Answers

It is A cause it is anwser

if a plate of car consists of two letters and four digits and one car is chosen at random, then find the probability that the car has the letters at the beginning and at the end.​

Answers

Answer:

if u take 1 degree to 78 its answer is 79

Step-by-step explanation:

got it?

The probability that the car has the letters at the beginning and at the end is 1/15.

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

The plate of car consists of two letters and four digits.

So, there are

= 6!/(4!*2!)

=(6 x 5 x 4!)/4! x 2

= 3 x 4

= 15 ways of arranging

Then, the probability that the car has the letters at the beginning and at the end is 1/15.

Learn more about Probability here:

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Find the Experimental Probability of Spinning a 4

Answers

Answer:

....................................,..............................,................................,...................................,...........................,..................,......,,,.,.................................

Step-by-step explanation:

Vanessa walks her puppy 1/2 of a miles in 20 minutes. How far does she walk her puppy
in 1 hour?

Answers

1 1/2 miles, this is because 20 minutes is 1/3 of an hour so we can multiply 1/2 by 3

A bed sheet was sold for $483 thereby gaining 15%. Find the Cost Price of
the bed sheet.​

Answers

let CP be x.
Gain=15% of x
SP=483$
Profit=SP-CP
CP=SP-Profit
x=483-15x/100
x+15x/100=483
100x+15x/100=483
115x/100=483
x=483*100/115
x=420
So, Cost price of the bed sheet is $420.

Facial shaving brushes are either bulb-shaped or fan-shaped. An experiment is to be conducted to determine whether the lather thickness is the same for both types of shaving brushes. In previous studies, it was determined that shaving brush size (small, medium, large) is associated with lather thickness, but shaving brush type (Wolf Whiskers, Maggard Razors, Frank Shaving, and so on) is not associated with lather thickness. How could the experiment BEST be conducted?

a) By blocking on shaving brush size

b) By blocking on shaving brush type

c) By blocking on shaving brush shape

d) By blocking on lather thickness

e) Without blocking

Answers

Answer:

a) By blocking on shaving brush size

Step-by-step explanation:

You block on the variable that the researchers think matters.

The experiment can BEST be conducted by blocking on shaving brush size

What is the reason behind the experiments?

An experiment is designed to verify your hypothesis. If your theory is valid, every time a scientific experiment has been conducted, it has the potential to be true.

In this given experiment a technique is used to verify or disprove a theory, as well as assess the effectiveness or likelihood of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

Since, lather thickness and shaving brush size are related, changing the brush size could have an impact on the experiment's findings.

Therefore, The experiment can be best carried out by limiting the size of the shaving brush.

Learn more about experiments here:

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Select the correct answer from the choices given
(13 + 4i) + n = 0
What is n?

0

1

–13 + 4i

–13 - 4i

Answers

The answer is n= -13-4i

Answer:

D

B

Step-by-step explanation:

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