The table shows a function. Is the function linear or nonlinear?

x y

7 20

8 12

9 7

Answer:

D. 60.3

Step-by-step explanation:

Finding the mean,

M = (sum of values of data)/(number of data)

now, number of data = 9,

calculating the mean,

M = (54 + 68 + 68 + 54 + 59 + 58 + 68 + 57 + 57)/9

M = 543/9

M = 60.333

M = 60.3

Answer:

7.75 ; 7.81 ; 7.77 ; 7.84

35 bananas ounces cost $2.99.

Let x be the cost of one banana ounce. Then we have:

Answer:

C

Step-by-step explanation:

3 * 6 = 18

30% of 60 = 18

Answer:

The answer is C

The final statement is: The perimeter of the quadrilateral is given by 71 units.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape

Given here: A quadrilateral ABCD with a circle inscribed in it.

Now sides of the quadrilateral form tangents from a common point (vertex)

Thus they must be equal

∴ Perimeter of the ABCD is = 29+12+2.5+2.5+21-17+21

                                              = 71 units

Hence, The perimeter of the quadrilateral is given by 71 units.

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The variables are classified as follows:

a) Number of students: Numerical discrete.

b) Gender: Categorical.

c) Amount of fluid: Numerical continuous.

d) Thickness: Numerical continuous.

e) Birth order classification: Categorical.

Considering the concepts presented, the variables are classified as follows:

a) Number of students: Numerical discrete.

b) Gender: Categorical.

c) Amount of fluid: Numerical continuous.

d) Thickness: Numerical continuous.

e) Birth order classification: Categorical.

These variables were used because they were the ones used when I researched this problem on the internet.

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The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.

The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.

2. 7 x 6000 = 42,000.

To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.

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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.

In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.

Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.

2. 7 x 6000 = 42,000.

We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.

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A) sample proportion = 0.17,  the sampling distribution of p can be calculated/approximated with normal distribution of sample proportion = 0.17 and standard error/deviation = 0.013281 (B) 0.869   (C)0.9668

In statistics, a sampling distribution or finite-sample distribution is the probability distribution of a given random-sample-based statistic

A) p ( proportion of population that spends more than $100 per week) = 0.17

sample size (n)= 800

the sample proportion of p = 0.17

Standard error of p = √[p(1-p)]/n  = 0.013281

The sampling distribution of p can be calculated/approximated with

Normal distribution of sample proportion = 0.17 and standard error/deviation = 0.013281

B) probability that the sample proportion will be +-0.02 of the population proportion

= p (0.17 - 0.02 ≤ P ≤ 0.17 + 0.02 ) = p( 0.15 ≤ P ≤ 0.19)

z value corresponding to P

Z =  (P-p)/standard deviation

at P = 0.15

Z =  (0.15 - 0.17) / 0.013281 = = -1.51

Z =  (P-p)/(standard deviation) at P = 0.19

z = ( 0.19 - 0.17) / 0.013281 = 1.51

Therefore the required probability will be

p( -1.5 ≤ z ≤ 1.5 ) = p(z ≤ 1.51 ) - p(z ≤ -1.51 )

= 0.9345 - 0.0655 = 0.869

C) for a sample (n ) = 1600

standard deviation/ error = 0.009391 (applying the equation for calculating standard error as seen in part A above)

therefore the required probability after applying

z = (P-p)/standard deviation  at p = 0.15 and p = 0.19

p ( -2.13 ≤ z ≤ 2.13 ) = p( z ≤ 2.13 ) - p( z ≤ -2.13 )

= 0.9834 - 0.0166 = 0.9668

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Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer:

2.14

Step-by-step explanation:

Answer:

2.14

Step-by-step explanation:

hope this helps

Plz mark brainliest :)

Option III "E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise." is a correct multiple regression equation that can be used to analyze these data. So the option III is correct.

Randomized design involving four treatments: A, B, C, and D.

So total number of treatments = 4(A, B, C, D)

So the number of dummy variable is required = 4 - 1

The number of dummy variable is required = 3

The three variables would be x₁ x₂ and x₃ and the fourth treatment scenario would be represented if all three were zero.

So the option III is correct because this is a correct multiple regression equation because it contains all the necessary components to define a linear regression model.

Specifically, it contains a dependent variable (y), a constant (B₀), and three independent variables (x₁, x₂, x₃). Additionally, each of the independent variables is either assigned a value of 1 or 0 depending on the treatment, which is how a linear regression model is typically constructed.

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The complete question is:

Consider a completely randomized design involving four treatments: A, B, C, and D. Select a correct multiple regression equation that can be used to analyze these data. Define all variables.

I. E(y) = B₀ + B₁ x₁ x₂ x₃ x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.

II. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃ + B₄x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.

III. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise.

Answer:

The missing side length is 24.98 units

Step-by-step explanation:

Given

The attached right-triangle

Required

The length of the missing length

Let the missing length be x.

Apply Pythagoras theorem

\(Hyp^2 = Opp^2 + Adj^2\)

This gives

\(43^2 = 35^2 + x^2\)

\(1849 = 1225 + x^2\)

Collect like terms

\(x^2 = 1849 - 1225\)

\(x^2 = 624\)

Take square roots of both sides

\(x = \sqrt{624\)

\(x = 24.98\) --- approximated

Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

B: 1.53

Step-by-step explanation:

The mean, or average, is 4, and n, the amount of numbers, is 7. To find the standard deviation, first, all of the numbers are subtracted by the mean. This makes (-3, 0, 0, 0, 0, 1, 2). Square all of them to get (9, 0, 0, 0, 0, 1, 4). Next add the squared numbers together (9 + 0 + 0 + 0 + 0 + 1 + 4 = 14). Next, the variance needs to be found. That is found by this formula: (Sum of previous number set ÷ (n - 1)). So in this case, (14 ÷ (n - 1)). Since n is 7, it is (14 ÷ (7 - 1)), or (14 ÷ 6). The answer to that is 2.3 repeating. After the variance is found, it is square rooted to get the standard deviation. √2.3 is about 1.53. Hope this helps! Have a great day! :)

The number of sea stars is 64.

What is a ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other.

In general, a: b, which can be interpreted as "a is to b," is used to denote a ratio between two quantities, let's say "a" and "b."

This ratio is expressed in fraction form as a/b. We utilize the same method for further simplifying a ratio as we use for further simplifying a fraction.

According to the question,

Ratio of sea stars to wolf eels = 4:5

Number of rock fish= 5/8 (Number of sea stars)

Number of wolf eels - Number of rock fish = 40

Using the given information, we get,

Number of sea stars = 8/5 (Number of rock fish)

On simplification,

Number of wolf eels = 80

So, number of sea stars = (4/5)*80

                                          = 64

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You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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Answer: 4 ways to pick a king, 13 ways to pick a heart, and 4 ways to pick a five. Given the cards are returned to the deck, there are no special cases such as picking the King of Hearts and/or the Five of Hearts that affect the count. 208 ways.

Step-by-step explanation:

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

It would be 24.4 pounds.

Step-by-step explanation:

First do: 13.4 / 100 = 0.134

Then, 182 * 0.134,

to get 24.4 pounds.

Answer:

D.

Step-by-step explanation:

6a² = surface area for cube

6(5)² = 150

2\(\pi\)(r)(h)+2\(\pi\)r²  = surface area cylinder

2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi

150 + 20pi = 212.8318531

Answer:

6y^3-9y^2-7y

Step-by-step explanation:

y^3-+5t^3 - 7y^2-2y^2 - 3y-2y-2y

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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Answer:

y \(\leq\) -7

Step-by-step explanation:

6x + 2y \(\leq\) -8   Subtract 6x from both sides

6x - 6x + 2y \(\leq\) -8 - 6

2y \(\leq\) -14  Divide both sides by 2

y \(\leq\) -7

Answer:

Step-by-step explanation:

A=P(1+r)^t

where A-final amount, P-intial amout, r-interest rate, t-time

A=1000(1+0.03)^3 = $ 1092.73

Answer:

a)  $497.70

b)  392.4 square feet

c)  $1,200

Step-by-step explanation:

A regular octagon has 8 sides of equal length.

Given each side of the octagon measures 9 feet in length, and one side does not have a railing, the total length of the railing is 7 times the length of one side:

\(\textsf{Total length of railing}=\sf 7 \times 9\; ft=63\;ft\)

If the railing sells for $7.90 per foot, the total cost of the railing can be calculated by multiplying the total length by the cost per foot:

\(\textsf{Total cost of railing}=\sf 63\;ft \times \dfrac{\$7.90}{ft}=\$497.70\)

Therefore, the cost of the railing is $497.70.

\(\hrulefill\)

To find the area of the regular octagonal gazebo, given the side length and apothem, we can use the area of a regular polygon formula:

\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\;s\;a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)

Substitute n = 8, s = 9, and a = 10.9 into the formula and solve for A:

\(\begin{aligned}\textsf{Area of the gazebo}&=\sf \dfrac{8 \times 9\:ft \times10.9\:ft}{2}\\\\&=\sf \dfrac{784.8\;ft^2}{2}\\\\&=\sf 392.4\; \sf ft^2\end{aligned}\)

Therefore, the area of the gazebo is 392.4 square feet.

\(\hrulefill\)

To calculate the cost of the gazebo's flooring if it costs $3 square foot, multiply the area of the gazebo found in part (b) by the cost per square foot:

\(\begin{aligned}\textsf{Total cost of flooring}&=\sf 392.4\; ft^2 \times \dfrac{\$3}{ft^2}\\&=\sf \$1177.2\\&=\sf \$1200\; (nearest\;hundred\;dollars)\end{aligned}\)

Therefore, the cost of the gazebo's flooring to the nearest hundred dollars is $1,200.

a. To find the perimeter of the gazebo, we can use the formula P = 8s, where s is the length of one side. Substituting s = 9, we get:

P = 8s = 8(9) = 72 feet

Since one side is open, we only need to find the cost of railing for 7 sides. Multiplying the perimeter by 7, we get:

Cost = 7P($7.90/foot) = 7(72 feet)($7.90/foot) = $4,939.20

Therefore, the cost of the railing is $4,939.20.

b. To find the area of the gazebo, we can use the formula A = (1/2)ap, where a is the apothem and p is the perimeter. Substituting a = 10.9 and p = 72, we get:

A = (1/2)(10.9)(72) = 394.56 square feet

Therefore, the area of the gazebo is 394.56 square feet.

c. To find the cost of the flooring, we need to multiply the area by the cost per square foot. Substituting A = 394.56 and the cost per square foot as $3, we get:

Cost = A($3/square foot) = 394.56($3/square foot) = $1,183.68

Rounding to the nearest hundred dollars, the cost of the flooring is $1,184. Therefore, the cost of the gazebo's flooring is $1,184.

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