Give the domain and range of the relation.
{(-6,5), (-6, -7), (5,-6), (6,-1), (-4,-5)}
A) domain= {5, 13,-4, 6, -6}; range = {-6, -5,-1, -7,5}
B) domain={-6, -5,-1, -7,5}; range = {5,5, -4,6,-6}
) domain= {5, -3, -4, 6, -6}; range = {-6, -5,-1,-7,5}
D) domain= {5,-4, 6, -6}; range = {-6, -5,-1,-7,5}

Answer:

a = 70°

b = 80°

Step-by-step explanation:

Angles on a straight line add up to 180°

⇒ a + 110 = 180

⇒ a = 180 - 110

⇒ a = 70°

The sum of the interior angles of a quadrilateral is 360°

⇒ a + b + 130 + 80 = 360

⇒ 70 + b + 130 + 80 = 360

⇒ b + 280 = 360

⇒ b = 360 - 280

⇒ b = 80°

There are a total of 212 pounds of berries, and the number of friends sharing the berries is equal to 4.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

The total amount of berries = 212 pounds

The number of berries received by each one = 54 pounds

Then, the number of friends sharing the berries is:

212/54 = 3.92 ≈ 4 friends.

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Answer:

A) The number of wallpapers needed to cover the walls is 6 double roll wall papers

B) The number of wall paper border rolls needed is 3 rolls

Step-by-step explanation:

A) The given parameters are;

The dimensions of the room are 9 ft. by 12 ft. by 8 ft. high,

The area one double role wallpaper covers = 60 ft.²

Therefore, we have;

The area of the room wall = 12 × 8 × 2 + 9 × 8 × 2 = 336 ft²

The number of double rolls of wallpaper to be used = Area of wall/(area of wallpaper) = 336/60 = 5.6

Therefore, given that the wall papers are sold in single units, we round up to the next whole number of units to get;

The number of wallpapers needed to cover the walls = 6 double roll wall papers

B) The borders of a wallpaper are installed parallel (and installed along) to the ceiling line

Therefore, the amount of wallpaper border required is given as follows;

Wall paper border length required = 2 × Length of the room + 2 × Width of the room

∴ Wall paper border length required = 2 × 9 ft. + 2 × 12 ft. = 42 ft.

The size of each wall paper border sold = 5 yd. = 15 ft.

Therefore;

The number of wall paper border rolls required = 42 ft./(5 yd.) = 42 ft./(15 ft.) = 2.8 rolls

Therefore, we round up to get the number of wall paper border rolls needed as 3 rolls of wall paper borders.

Answer:

what the answer

Step-by-step explanation:

Answer:

kjbjhjhjjjjjjhljjhjhjjhjhjhjjhjhjhjhnnnnmnnmnmjnmjhjjjmjmjmnjjm

Step-by-step explanation:

Answer:

I'm pretty sure slope is 4/1 and y-intercept is 3

Answer:

Slope: 4/1

Y-Intercept: (0,3)

Step-by-step explanation:

This should be the correct answer if the graph is in increments of one.

Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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A) The probability that all 3 selected were rated excellent is 0.0037 or 0.37%.

B) The probability of selecting one from each category is 0.0526 or 5.26%.

(A) The probability that all 3 selected were rated excellent can be found using the hypergeometric distribution. There are 4 excellent-rated employees in the department and a total of 20 employees, so the probability of selecting an excellent-rated employee on the first draw is 4/20. Since no replacement is allowed, there will be 3 excellent-rated employees left in a total of 19 employees for the second draw, giving a probability of 3/19. Similarly, for the third draw, there will be 2 excellent-rated employees left in a total of 18 employees, giving a probability of 2/18. Therefore, the probability that all 3 selected were rated excellent is (4/20) x (3/19) x (2/18) = 0.0037 or 0.37%.

(B) The probability that one from each category was selected can be found by considering the combinations of employees that could be selected. There are (4 choose 1) ways to select an excellent-rated employee, (15 choose 1) ways to select a good-rated employee, and (1 choose 1) way to select a marginal-rated employee. Therefore, there are (4 choose 1) x (15 choose 1) x (1 choose 1) = 60 ways to select one employee from each category. The total number of ways to select 3 employees from 20 is (20 choose 3) = 1140. Therefore, the probability of selecting one from each category is 60/1140 = 0.0526 or 5.26%.

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Answer: DJ appears to be moving at the same speed as the car

Step-by-step explanation:

DJ is inside of the car, so he moves with it. Jabari is outside of the car and is standing still, so both DJ and the car he is in seems to be moving at 40 miles per hour at the same time

Answer:

10

Step-by-step explanation:

assigning variable x to the unknow number

3x - 50 = -20

3x = 30

x = 10

Based on the 30% smoking rate, we can expect that approximately 75 adults out of the group of 250 will be smokers.

To determine the expected number of adults who smoke in a group of 250 adults, we need to consider the smoking rate of 30% in the country. The expected number can be calculated by multiplying the total number of adults by the smoking rate.

Expected number of adults who smoke = Total number of adults × Smoking rate

Given that there are 250 adults in the group, the expected number of adults who smoke can be calculated as follows:

Expected number of adults who smoke = 250 × 0.30 = 75

The expected number is derived by assuming that each adult's decision to smoke is independent of others in the group. While this calculation provides an estimate, it is important to note that individual smoking behavior can vary.

It's also worth considering that the expected number does not account for factors such as age, gender, or other demographic characteristics that could influence smoking rates.

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The required equation is 5x - 12y = -75

What is slope of line?

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate points and calculating the slope of a line are related tasks. Typically, in order to determine the slope of a line, we need to know the values of any two separate line coordinates.

Given points are (−3,5) and (9,10)

The slope of the line is given by:

m= \(\frac{(10-5)}{9-(-3)} =\frac{5}{12}\)

The equation becomes:

\(y-5=\frac{5}{12} [x-(-3)]\\\\y-5=\frac{5}{12} (x+3)\)

12y − 60 = 5x + 15

5x − 12y = −75

Hence, The required equation is 5x - 12y = -75

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The linear representation is a proportional relationship.

What is proportional relationship?

Proportional relationships are those in which the ratios of the two variables are equal. Another way to think about them is that one variable is always a constant value multiplied by the other in a proportionate relationship. The "constant of proportionality" is the name given to this variable.

We know that in a proportional relationship the ratios are equal i.e.

\(\frac{y_{1}}{x_{1} } = \frac{y_{2} }{x_{2} } =\frac{y_{n} }{x_{n} }\)

So,

-16/4 = -12/3 = -8/2 = -4/1 = -4

Since, the ratios of the linear representation are equal, therefore, it is a  proportional relationship.

Hence, the linear representation is a proportional relationship.

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A vertical line drawn through a normal distribution at z = –0.75 will separate the distribution into two sections then the proportion in larger section, separated by the vertical line at z = -0.75 is 0.7266.

In a standard normal distribution, the area to the left of a particular z-score represents the proportion of values below that z-score. The area to the right represents the proportion of values above that z-score.

Since the proportion in the smaller section is given as 0.2734, it corresponds to the area to the left of z = -0.75.

To find the proportion in the larger section, we subtract the given proportion from 1 since the total area under the curve is 1.

Proportion in larger section = 1 - 0.2734 = 0.7266

Therefore, the proportion in the larger section, separated by the vertical line at z = -0.75, is 0.7266.

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Answer:

Package 2

Step-by-step explanation:

Mr. avola is deciding which of these packages of cheese to buy

For Package 1

Package 1: SLICED cheese 12oz for 3 dollars

12oz = 3 dollars

1 oz = x

Cross Multiply

12 oz × x = 3 × 1 oz

x = 3 × 1 oz/12 oz

x = 0.25 dollars

Hence, Package 1 cost 0.25 dollars per ounce

For Package 2

Package 2: BLOCK of cheese 1.5lbs for 5.52 dollars.

We convert Ibs to oz

1 Ibs = 16 oz

1.5 Ibs = x

x = 1.5Ibs × 16 oz/1 Ibs

x = 24 oz

Hence:

24oz = 5.52 dollars

1 oz = x

Cross Multiply

24 oz × x = 5.52 × 1 oz

x = 5.52 × 1 oz/24oz

x = 0.23 dollars

Package 2 cost 0.23 dollars per ounce

Therefore, the package that cost less per ounce is Package 2

Answer:

22

Step-by-step explanation:

You would add 14 and 8.    

22-8=14

Check it on your calculator

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Answer:

x = 22

Step-by-step explanation:

Solving for x means having x alone on the left side as in

x = some number

Since 8 is being subtracted from x on the left side, you need to do the opposite operation of subtracting 8. The opposite operation of subtraction is addition. That means you need to add 8 to the left side to get rid of the subtraction of 8. The rule with equations is that you must do the same operation to both sides of the equation. Therefore, you need to add 8 to both sides of the equation.

x - 8 = 14

Add 8 to both sides.

x - 8 + 8 = 14 + 8

On the left side, -8 + 8 = 0, so you end up with just x.

On the right side, 14 + 8 = 22, so you end up with 22.

x = 22

Answer: x = 22

In the following question, among the given options, The sum of the proportions for all categories of a variable will be (C.) "1.00."

What is proportion? Proportions are usually represented as a decimal numbers between 0 and 1. They can also be represented as a percentage between 0 and 100. Proportions show the relationship between a particular number and a whole group. The total sum of proportions will always be equal to 1.00, which represents the entire group or population. So the answer to the given question is c. 1.00.

ExplanationThe sum of the proportions for all categories of a variable will be 1.00 because of the following: Proportions of a categorical variable are used to analyze data in statistics. A proportion is a fraction of a whole group that represents a part of that group. Proportions are usually represented as a decimal numbers between 0 and 1. They can also be represented as a percentage between 0 and 100. The sum of the proportions for all categories of a variable will be 1.00 representing the whole group or population, which is equal to 100%. This is the same as saying that the proportions for all categories of a variable should add up to 100%.

Therefore, the correct answer to the question is c. 1.00.

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Answer:

r = √( s/4π)

Step-by-step explanation:

s = 4πr²

s/4π = 4πr²/4π

r² = s/4π

√(r²) =+/-√( s/4π)

r = √( s/4π)     Because r is a radius of the circle , it should be positive.

Answer:

\( \boxed{r = \pm \frac{ \sqrt{s} }{2 \sqrt{\pi} } } \)

Step-by-step explanation:

\(Solve \: for \: r: \\ = > s=4\pi {r}^{2} \\ \\ s =4\pi {r}^{2} \: is \: equivalent \: to \: 4\pi {r}^{2} = s: \\ = > 4\pi {r}^{2} =s \\ \\ Divide \: both \: sides \: by \: 4\pi: \\ {r}^{2} = \frac{s}{4\pi} \\ \\ Take \: the \: square \: root \: of \: both \: sides: \\ = > r = \frac{ \sqrt{s} }{2 \sqrt{\pi} } \: \: \: \: or \: \: \: \: r = - \frac{ \sqrt{s} }{2 \sqrt{\pi} }

\)

Answer:

money decrease linearly with increase in time

Answer:

35

Step-by-step explanation:

Answer:

3/4 75/100 12/16 24/32

Step-by-step explanation:

9/12 is the equivalent of 75% and fractions that express the same proportions.

Answer:

(0,4,8,12)

Step-by-step explanation:

Range is all the y values.

Answer:

A

Step-by-step explanation:

The correct answer is option c. 95%. Reaching out two standard errors on either side of the sample proportion gives us an interval of 95% confidence.

This is due to the fact that two standard errors on either side of the sample proportion will cover around 95% of the population's cases.

We can typically determine the true proportion in the population using this range of two standard errors on either side of the sample proportion.

This is because it helps us identify any potential outliers in the population and provides a range of population proportions for which we may be 95% certain.

We are 95% certain that the true percentage is capable inside the interval if we stretch out two standard errors on either side of the sample proportion.

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Answer:

milk to oil - correctly shows ratio 3:1

Answer:

B 2/7 <3/1

Step-by-step explanation:

Answer:

3.9×10^-5 and 1.2×10^-8

Answer:

(-3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.

Step-by-step explanation:

Answer:

D (-3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.

Linear pairs are the angles which formed a straight line

Look at your figure

Which angle pairs formed a straight line

Angle 1 and angle 5 formed a straight line

The sum of them = 180 degrees

Angles 1, 2, and 3 formed a straight line

The sum of them = 180 degrees

Angles 2, 3, and 4 formed a straight line

The sum of them is 180 degrees

Angles 4 and 5 formed a straight line

The sum of them = 180 degrees

So, the linear pairs are

Angle 1 and angle 5

Angle 4 and angle 5

Answer:

hi

Step-by-step explanation:

area of square is a²

14²=196 m

haveca nice day

Step-by-step explanation:

i suppose you are looking for the expanded and simplified form

We can use Pascal's triangle to perform this

According to Pascal's triangle,

1

1 1

1 2 1

So, 1•3x²+2•3x•1/x+1•1/x²

3x²+6x/x+1/x²

3x²+6+1/x²