A survey asked 500 adults if they owned a home. A total of 350 respondents answered Yes. Of the 280 respondents in the 18-34 age group, 150 responded Yes. Required: a) Develop a joint probability table b) What is the probability that a respondent owned a home? c) What is the probability that a respondent is not in the 18-34 age group? d) What is the probability that a respondent is in the 18-34 age group and owned a home? What is the probability that a respondent is in the 18-34 age group or owned a home? If a respondent is in the 18-34 age group, what is the probability that they owned a home?

Answer:

Tyler. Because the temperature dropped at a faster °/hr rate then Mai's did

Step-by-step explanation:

                \(\frac{temp.drop}{hours}\)

Tyler

from 4-6 it dropped 8° in a course of 2 hours. averaging a 4°/Hr drop

\(\frac{8}{2hrs}\)= 4°/hr

Mai

from 6-10 it dropped 9° in a course of 4 hours. averaging a 2.25°/hr drop

\(\frac{9}{4hrs}\)= 2.25°/hr

Therefore Tyler is correct

Answer:

24 g

Step-by-step explanation:

hello,

The big cube is compose by the 8 small cubes.

Because of the symmetry we can check what's happening to one of this small cube.

As Amanda has already painted the big cube it means that the same cube has 3 faces painted, so 3 faces are left unpainted. only 50 % is painted.

so Amanda need 24 grams to paint the unpainted surfaces of the 8 cubes.

hope this helps

Given:

There are given the equation:

Explanation:

According to the question:

We need to find the solution to the given quadratic.

Then,

To find the solution, we will use the quadratic equation formula.

Then,

From the equation:

Where,

Then,

Put all the value into the formula:

Then,

Then,

Therefore, the solution of the given quadratic equation:

Final answer:

Hence, the correct options are B and E.

the answer is 3x²

Step-by-step explanation:

we know that k = 3x

when we look at the actual equasion we can se that y = kx, meaning we have to multiply x by 3x which would give us 3x²

Answer:  the answer is 3x^2 three x to the power of 2

a 13 ft ladder must reach 12 ft up the side of a house. how many feet from the house should the bottom of the ladder be placed?

Answer: 1 foot

Answer:

5 ft

Step-by-step explanation:

Ladder top, the wall and the horizontal distance will form a right triangle with:

As per Pythagorean theorem:

Additive inverse is the number you add to a given number to make the sum zero. The addition of both the number must be zero to make both numbers additive inverse.. The additive inverse of the given complex number is

\(-9+4i\)

Addictive Inverse-Additive inverse is the number you add to a given number to make the sum zero. The addition of both the number must be zero to make both numbers additive inverse.

Let an example, if we take the number 10 and add -10 to it. Thus -10 is the additive inverse of the number 10.

Here, the given number is a complex number. A complex number is a number of the form a + bi, where a and b are real numbers. The given function is,

\(9-4i\)

The additive inverse of the above number is,\(-9+4i\)

Add both and check by equating with zero,

\(9-4i+(-9i+4)=0\)

\(9-4i+-9i+4=0\)

\(0=0\)

Hence, the additive inverse of the given complex number is \(-9+4i\).

For more about the additive inverse, follow the link below-https://brainly.com/question/13715269

Answer:

1

Step-by-step explanation:

sorry im late

The force is 80,000 Dynes.

We know that when we talk about the joint variation then we have a lot of variables that are being altered at the same time and this is what we are going to work on in the questions that we have here.

We are told that;

C α mr/t^2

Then;

C = kmr/t^2

k = Ct^2/mr

k = 6000 * 2^2/6 * 10

k = 400

Then, to find C;

C = 400 * 18 * 100/3^2

C = 80,000 Dynes

\

Hence, we can see from the calculation that the centrifugal force that is required is 80,000 Dynes.

Learn more about joint variation:https://brainly.com/question/30466316

#SPJ1

The probability of a player being between 5′3 ′′ and 5' 10" is 77%.

To calculate the probability of a player being between 5′3 ′′ and 5' 10", we need to standardize the values using the formula:

z = (x - μ) / σ

where x is the height of the player, μ is the mean height of the chess club members, and σ is the standard deviation of the heights.

For x = 5′3 ′′, z = (63 - 66) / 2 = -1.5

For x = 5'10", z = (70 - 66) / 2 = 2

Using a standard normal distribution table or calculator, we can find the area under the curve between z = -1.5 and z = 2, which represents the probability of a player being between 5′3 ′′ and 5' 10".

This area is approximately 0.7745 or 77%.

Therefore, the value obtained is 77%.

To know more about probability refer here:

https://brainly.com/question/11034287#

#SPJ11

The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

To know more about proportion and ratio on brainly :

brainly.com/question/26974513

#SPJ4

Answer: y=1/2x+2

Step-by-step explanation: i just picked that one and got it correct

Answer:

The tax is $32375.

Step-by-step explanation:

1/2 of 35,000 is 17,500.

1/8 of 35,000 is 4375.

1/5 of 35,000 is 7000.

1/10 of 35,000 is 3500.

17500 + 4375 + 7000 + 3500 = 32375.

Therefore, the grocery store pays $32,375 in taxes.

Answer:

cos65°= x/11

cos65° × 11=x

4.65=x

Answer:

Step-by-step explanation:

You want to know suitable equations that can be solved for x given that AC=x, AB=11, and ∆ABC is a right triangle with angle A=25° and C=90°.

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

The side marked 11 is the hypotenuse, and the side marked x is adjacent to the 25° angle and opposite angle B. We can find the measure of angle B as the complement of angle A:

  ∠B = 90° -25° = 65°

The cosine relation is ...

  cos(A) = AC/AB

  cos(25°) = x/11

The sine relation is ...

  sin(B) = AC/AB

  sin(65°) = x/11

These are equations you can solve to find x.

Answer:

2400

Step-by-step explanation:

144 are seated

94% yet to arrive

6% = 144

Easy method Find the value of 1%

144/6 will be 1%

If 1% =24 then 100% will be 24x 100

Total tickets sold will be 2400

Check: 6% of 2400 is 144

Answer:

X=0 or x=8/5

Step-by-step explanation:

Answer:

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = - 120\)

Step-by-step explanation:

By the rule of Integer multiplications,

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = [ (-1) \times (-2) ] \times [(-3) \times (-4)] \times (-5)\)

                                                      \(= [2] \times [12] \times (-5)\)

                                                      \(= -120\)

Learn more about Integer here,

brainly.in/question/54087058

The time taken by both of them to work on the same page is 2 hours. The number of pages written by Emmy is 53 and the number of pages written by Warren is 53.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

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 Emmy has already completed 27 pages and will continue working at a rate of 13 pages per hour. Warren has completed 33 pages and can work at a rate of 10 pages per hour.

The time taken to reach the same page is,

13t + 27 = 33 + 10t

13t - 10t = 33 - 27

3t = 6

t = 2 hours

The number of pages written by Emmy is,

N = 13t + 27

N = ( 13 x 2) + 27 = 53

The number of pages written by Warren is,

N = 33 + 10t

N = 33 + 20

N = 53

To know more about an expression follow

https://brainly.com/question/14139503

#SPJ1

From the total of 300 workers in the factory :

a. Number of men = 200 and Women = 100

b. Number of workers works in the morning = 225

c. Number of workers unionized are 150.

d. Number of workers trustworthy are 50.

Total number of workers in the factory are 300.

a. Fraction of men in the factory are ( 2/3)

= 2/3 of 300

= 200

Women

= 300 -200

= 100

b. Number of workers in the morning shift are

= 3/4 of 300

= 225

c. Total number of workers unionized

= 1/ 2 of 300

= 150

d. Number of trustworthy workers

= 1/6 of 300

= 50

Therefore, out of 300 workers in the factory answer of the following questions are:

a. Number of men and women work in the factory are 200 and 100 respectively.

b. Number of workers works in the morning is 225.

c. Unionized workers = 150

d. Trustworthy workers = 50.

The above question is incomplete , the complete question is :

The Factory has 300 workers of which 2/3 are men, 3/4 work in the morning, 1/2 are unionized and 1/6 are trusted personnel.

a. How many men work in the factory and how many women?

b. How many workers work in the morning?

c. How many are unionized?

d. How many are trustworthy?

Learn more about workers here

brainly.com/question/16603887

#SPJ4

Step-by-step explanation:

(5+6+7)*2 = 36 correct answer

Answer:

36

Step-by-step explanation:

Answer:

x = 11°

Step-by-step explanation:

2x + 52 = 7x - 3

5x + 55 = 0

x = 55 : 5

x = 11°

---------------

check

2 * 11 + 52 = 7 * 11 - 3

74 = 74

the answer is good

Answer:

3=4 and 1=2 or its the other way around...i cant remember

Answer:

Step-by-step explanation:

This problem seeks to tests our understanding of measurements and units

Kathy cannot compare the two measurements because the two units of measurement are not the same.

Now centimetres  is 10 times bigger than millimetres.

What Kathy can actually do is to convert from one unit to another, that is from centimetres to millimetres.

Since the units are not similar Kathy cannot compare them but she can convert from one to the other

a)

A rectangle is a quadrilateral

A trapezoid is a quadrilateral

Both of them have 4 sides

b)

In the parallelogram, every two opposite sides are equal and parallel

In the trapezoid, only two opposite sides are parallel but not equal

c)

In the square, diagonals are perpendicular

In the rhombus, diagonals are perpendicular

Both of them have perpendicular diagonals

d)

In the rectangle, diagonals are equal

In the rhombus, diagonals are not equal

Using a system of linear equation, the cost of each shirt and pant is $9 and $11 respectively.

A system of linear equations is a collection of one or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system.

A linear equation is an equation that can be written in the form of ax+by=c, where x and y are variables, and a, b, and c are coefficients.

In this problem, we need to define our variables and the solve the equations.

Let;

x + 2y = 31 ...eq(i)

3x + y = 38 ...eq(ii)

Solving both equations

x = 9, y = 11

Lear more on system of linear equation here;

https://brainly.com/question/13729904

#SPJ1

the list S describes all possible outcomes of the event.

the fourth option

two will get choosen, and the order matters.

If the keys were accidentally dropped from the top of the Capital Gate Tower, they would land approximately 51.84 meters away from the base of the tower.

The Capital Gate Tower in Abu Dhabi, built in 2011, stands tall at a height of 150 meters, measured vertically from the ground. Assuming the tower remains perfectly vertical, we can calculate the distance from the base where the keys would land if accidentally dropped.

Given that the angle between the tower and the ground is 72 degrees, we can use trigonometry to determine the horizontal distance traveled by the keys.

Since the height of the tower acts as the opposite side of the triangle, and the distance we are looking for is the adjacent side, we can use the tangent function.

tan(72 degrees) = height / distance

Rearranging the formula, we get:

distance = height / tan(72 degrees)

Plugging in the values, we have:

distance = 150 / tan(72 degrees) ≈ 51.84 meters

Therefore, if the keys were accidentally dropped from the top of the Capital Gate Tower, they would land approximately 51.84 meters away from the base of the tower.

For more such questions keys,click on

https://brainly.com/question/15165367

#SPJ8

The probable question may be:

Built in 2011, the Capital Gate Tower,Abu Dhabi is 150 meters tall (measured vertically from the ground) and makes a 72" angle with the ground. If you were to climb to the top and then accidently drop your keys, how far from the base of the tower would they land?

No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

To learn more about null hypothesis

https://brainly.com/question/17083644

#SPJ4

When the patient recovery time from a specific surgical procedure is normally distributed, with a mean of 5.2 days and a standard deviation of 2.3 days, the probability of spending more than 2 days in recovery will be 0.61.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. Information about the likelihood that something will happen is provided by probability. For instance, meteorologists use weather patterns to forecast the likelihood of rain. Probability theory is used in epidemiology to comprehend the connection between exposures and the risk of health effects.

Here,

z=(X-μ)/σ

X=2

μ=5.2

σ=2.3

Z=(2-5.2)/2.3

Z=-1.39

-1.39+1

=0.39

1-0.39=0.61

The probability of spending more than 2 days in recovery will be 0.61 when the patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.2 days and a standard deviation of 2.3 days.

To know more about probability,

https://brainly.com/question/11234923?referrer=searchResults

#SPJ4