Mathematics College

Would a scatter plot showing the size of a swimming pool and the amount
of water to fill it show a positive, negative, or no relationship?

Answers

Answer 1

Answer: a scatter plot

Step-by-step explanation:

Answer 2

Answer:

Positive

Step-by-step explanation:

As size increases, amount of water to fill it would obviously increase. This means there is a positive increase, meaning that the correlation would be positive.

Related Questions

Tyler wants to have $250,000 in his retirement account by the time he retires in 30 years. The interest rate is 5%. Use the annuity formula to calculate the amount Tyler needs to deposit on a monthly basis in order to reach his goal. When solving, round numbers to the nearest hundred-thousandth. Round your final answer to the nearest cent.

Answers

Using the monthly payment formula, he needs to deposit A = $1,342.12 a month to reach his goal.

What is the monthly payment formula?

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

P is the initial amount.r is the interest rate.n is the number of payments.

For this problem, the parameters are:

P = 250000, r = 0.05, n = 12 x 30 = 360.

Then:

r/12 = 0.05/12 = 0.004167.

Then:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]A = 250000\frac{0.004167(1+0.004167)^{360}}{(1+0.004167)^{360} - 1}[/tex]

A = $1,342.12

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A bank gives an interest of 12% per annum.How long will it take to double one's interest?

Answers

6 years!
Divide 72 by your rate and you get the amount of years.

Graph the function f(x) = x3 – 3x – 2. Based on the graph, which value for x is a double root of this function?

–2
–1
1
2

Answers

The value for x that is a double root of this function is x = -1

How to determine the double root?

The function is given as:

f(x) = x^3 - 3x - 2

From the graph of the above function (see attachment), we have the following highlights:

The curve crosses the x-axis at x = 2The curve touches the x-axis at x = -1

The point that it touches the x-axis is the double root point

Hence, the value for x that is a double root of this function is x = -1

Answers

Using the t-distribution, the critical value needed is: t = 2.2622.

How to find the critical value for the t-distribution?

The critical value is found using a calculator, with two parameters:

The confidence level.The number of degrees of freedom, which is one less than the sample size.

For this problem, we have a confidence level of 95% and 10 - 1 = 9 df, hence the critical value is t = 2.2622.

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Any ideas for this graph

Answers

It’s a parabola;
(X+1)(X+3) = 0

X intercepts are at x=1 and x=3
Y intercept is at y=3

It’s neither odd one even function.

root of polynomial function f(x)=(x-3)^4(x+6)^2

Answers

28832883838828999888

Consider the probability that exactly 90 out of 147 students will pass their college placement exams. Assume the probability that a given student will pass their college placement exam is 56%.

Approximate the probability using the normal distribution. Round your answer to four decimal places.

Answers

Answer:

Step-by-step explanation:

i didnt do anything bro why u delete my answer

24g ____ 1,679mg?
Complete the inequality statement

Answers

Answer:

24g > 1,679mg

The sum of three consecutive integers is -15.
If 1 is added to each integer, what is the product.
of the three resulting integers?

Answers

-18 maybe not to sure

-18 not sure buddy but tryit’s really good

Membership selection. A town council has members, Democrats and Republicans.

(A)

If the president and vice-president are selected at random, what is the probability that they are both Democrats?

(B)

If a 3-person committee is selected at random, what is the probability that Republicans make up the majority?

The probability that they are both Democrats is approximately

enter your response here.
(Type a decimal. Round to three decimal places.)

Answers

Using the hypergeometric distribution, the probabilities are given as follows:

a) 0.2 = 20%.

b) 0.5539 = 55.39%.

What is the hypergeometric distribution formula?

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.

Researching this problem on the internet, it is found that the council has 15 members, of which 7 are Democrats and 8 are Republicans.

Item a:

The parameters are:

N = 15, n = 2, k = 7.

The probability is P(X = 2), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,15,2,7) = \frac{C_{7,2}C_{8,0}}{C_{15,2}} = 0.2[/tex]

Item b:

At most one Democrat, with n = 3, hence:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which:

[tex]P(X = 0) = h(0,15,3,7) = \frac{C_{3,0}C_{8,3}}{C_{15,3}} = 0.1231[/tex]

[tex]P(X = 1) = h(1,15,3,7) = \frac{C_{3,1}C_{8,2}}{C_{15,3}} = 0.4308[/tex]

Then:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1231 + 0.4308 = 0.5539[/tex]

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I need to see the steps to the problem for me to fully get it

Answers

The matrix [tex]\vec C[/tex] resulting from the multiplication between matrices [tex]\vec B[/tex] and [tex]\vec A[/tex] is equal to the matrix [tex]\left[\begin{array}{ccc}37&55&- 20\\23&11&- 20\\25&28&-9\end{array}\right][/tex]. (Correct choice: C)

How to find the result of a multiplication of two matrices

In this question we must apply the operation of multiplication of two matrices, whose definition is shown below:

[tex]\vec B\, \cdot \, \vec A[/tex], where [tex]\vec B \in \mathbb {R}_{n \times p}[/tex] and [tex]\vec A \in \mathbb{R}_{p \times n}[/tex] (1)

Where each element of the resulting matrix is equal to the following expression:

[tex]c_{(i, j)} = b_{(i, p)} \,\bullet\, a_{(p, j)}[/tex] (2)

Where the operator "[tex]\bullet[/tex]" represents a dot product.

Now we proceed to calculate each element of the matrix:

[tex]c_{(1, 1)} = \left[\begin{array}{ccc}5&7&3\end{array}\right] \,\bullet\,\left[\begin{array}{c}1\\5\\- 1\end{array}\right][/tex]

5 · 1 + 7 · 5 + 3 · (- 1)

[tex]c_{(1, 2)} = \left[\begin{array}{ccc}5&7&3\end{array}\right] \,\bullet\,\left[\begin{array}{c}7\\2\\2\end{array}\right][/tex]

5 · 7 + 7 · 2 + 3 · 2

[tex]c_{(1, 3)} = \left[\begin{array}{ccc}5&7&3\end{array}\right] \,\bullet\,\left[\begin{array}{c}- 3\\1\\- 4\end{array}\right][/tex]

5 · (- 3) + 7 · 1 + 3 · (- 4)

- 20

[tex]c_{(2, 1)} = \left[\begin{array}{ccc}- 3&7&9\end{array}\right] \,\bullet\,\left[\begin{array}{c}1\\5\\- 1\end{array}\right][/tex]

(- 3) · 1 + 7 · 5 + 9 · (- 1)

[tex]c_{(2, 2)} = \left[\begin{array}{ccc}- 3&7&9\end{array}\right] \,\bullet\,\left[\begin{array}{c}7\\2\\2\end{array}\right][/tex]

(- 3) · 7 + 7 · 2 + 9 · 2

[tex]c_{(2, 3)} = \left[\begin{array}{ccc}- 3&7&9\end{array}\right] \,\bullet\,\left[\begin{array}{c}- 3\\1\\- 4\end{array}\right][/tex]

(- 3) · (- 3) + 7 · 1 + 9 · (- 4)

- 20

[tex]c_{(3, 1)} = \left[\begin{array}{ccc}2&5&2\end{array}\right] \,\bullet\,\left[\begin{array}{c}1\\5\\- 1\end{array}\right][/tex]

2 · 1 + 5 · 5 + 2 · (- 1)

[tex]c_{(3, 2)} = \left[\begin{array}{ccc}2&5&2\end{array}\right] \,\bullet\,\left[\begin{array}{c}7\\2\\2\end{array}\right][/tex]

2 · 7 + 5 · 2 + 2 · 2

[tex]c_{(3, 3)} = \left[\begin{array}{ccc}2&5&2\end{array}\right] \,\bullet\,\left[\begin{array}{c}- 3\\1\\- 4\end{array}\right][/tex]

2 · (- 3) + 5 · 1 + 2 · (- 4)

- 9

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Please Please Please help with this math problem

Answers

The revenue as a function of x is equal to -x²/20 + 920x.The profit as a function of x is equal to -x²/20 + 840x - 6000.The value of x which maximizes profit is 8,400 and the maximum profit is $3,522,000.The price to be charged to maximize profit is $500.

How to express the revenue as a function of x?

Based on the information provided, the cost function, C(x) is given by 80x + 6000 while the demand function, P(x) is given by -1/20(x) + 920.

Mathematically, the revenue can be calculated by using the following expression:

R(x) = x × P(x)

Revenue, R(x) = x(-1/20(x) + 920)

Revenue, R(x) = x(-x/20 + 920)

Revenue, R(x) = -x²/20 + 920x.

Expressing the profit as a function of x, we have:

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = -x²/20 + 920x - (80x + 6000)

P(x) = -x²/20 + 840x - 6000.

For the value of x which maximizes profit, we would differentiate the profit function with respect to x:

P(x) = -x²/20 + 840x - 6000

P'(x) = -x/10 + 840

x/10 = 840

x = 840 × 10

x = 8,400.

For the maximum profit, we have:

P(x) = -x²/20 + 840x - 6000

P(8400) = -(8400)²/20 + 840(8400) - 6000

P(8400) = -3,528,000 + 7,056,000 - 6000

P(8400) = $3,522,000.

Lastly, we would calculate the price to be charged in order to maximize profit is given by:

P(x) = -1/20(x) + 920

P(x) = -1/20(8400) + 920

P(x) = -420 + 920

P(x) = $500.

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look at the picture

Answers

Answer:

Step-by-step explanation:

x²-9x<-8

x²-9x+(-9/2)²<-8+(-9/2)²

(x-9/2)²<-8+81/4

(x-9/2)²<(-32+81)/4

(x-9/2)²<49/4

|x-9/2|<7/2

-7/2<x-9/2<7/2

add 9/2

9/2-7/2<x-9/2+9/2<7/2+9/2

2/2<x<16/2

1<x<8

Determine the domain and range of the following and show/explain your work.
5 y = - x^4 + 4 Provide a graph to verify your answer.

6 y = 2x^3 - 1 Provide a graph to verify your answer.

7 y = 3√(2x+8) Provide a graph to verify your answer.

Answers

See below for how the domain and the range are calculated

How to determine the domain and the range?

Function, y = -x^4 + 4

The function is given as:

y = -x^4 + 4

See attachment for the graph

From the attached graph, we have:

Domain = Set of all real numbersRange = Set of real numbers less than or equal to 4

Function, y = 2x^3 - 1

The function is given as:

y = 2x^3 - 1

See attachment for the graph

From the attached graph, we have:

Domain = Set of all real numbersRange = Set of all real numbers

Function, y = ∛(2x + 8)

The function is given as:

y = ∛(2x + 8)

See attachment for the graph

From the attached graph, we have:

Domain = Set of all real numbersRange = Set of all real numbers

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60 POINTS IF CORRECT AND BRAINLIEST ANSWER FOR COMPLETE ANSWER

Answers

1. The solution to the first percent puzzle is as follows:

75% 66²/₃ 11¹/₉

33¹/₃% 25% 22¹/₅% 3⁷/₁₀%

50% 37¹/₂% 33¹/₃% 5¹/₂%

2. The solution to the second percent puzzle is as follows:

10% 90%

50% 5% 45%

What is a percent puzzle?

A percent puzzle is a puzzle that engages students to practice working with percentages.

The percent puzzle involves a matrix format, in which students multiply the column percent by the row percent to find the percent they must put in the missing boxes to complete the puzzle.

The multiplication results for the missing boxes can be either stated in decimals, fractions, or a combination.

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Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope over each part.

Answers

The function is illustrated below based on the information.

How to describe the function?

When x <= 8000

The cost remains constant at 0.35 when x increases from 0 to 8000. The slope of the cost function over this part is 0

When 8000 < x <= 20000

The cost remains constant at 0.75 when x increases from 8000 to 20000 and the slope of the cost function over this part is 0.

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Suppose Mai places $3500 in an account that pays 19% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year.
S
(b) Find the amount in the account at the end of 2 years.

Answers

Answer:

a.$4165

b.$4956.35

Step-by-step explanation:

a)19% × 3500 = 665.

3500+665 =4165

b)19% × 4165 = 791.35

4165+791.35= 4956.35

The games have been sorted into video games and board games. The number of video games is 28 less than 6 times the number of board games. The games are 80% video games. How many board games are there?
8
10
13
14

Answers

The number of board game sorted is 14

How to find the number of games?

The games have been sorted into video games and board games.

The number of video games is 28 less than 6 times the number of board games.

Therefore,

the number of board games = x

number of video game = 6x - 28

The games are 80% video games. Hence,

80 / 100 × x + 6x - 28 = 6x - 28

4 / 5 × 7x - 28 = 6x - 28

4 / 5 (7x - 28) = 6x -28

28 / 5 x - 112 / 5 = 6x - 28

28 / 5 x - 6x = -28 + 112 / 5

28x - 30x / 5 = - 28 + 112 / 5

-2x / 5 = -28 / 5

-10x = -140

x = 14

Therefore, the number of board game sorted is 14.

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Answer:

Step-by-step explanation:

80 / 100 × x + 6x - 28 = 6x - 28

4 / 5 × 7x - 28 = 6x - 28

4 / 5 (7x - 28) = 6x -28

28 / 5 x - 112 / 5 = 6x - 28

28 / 5 x - 6x = -28 + 112 / 5

28x - 30x / 5 = - 28 + 112 / 5

-2x / 5 = -28 / 5

-10x = -140

x = 14

What is the volume of this prism if a scale factor of 1.25 is applied to its dimensions?

A. 17.00 cubic units

B. 33.20 cubic units

C. 21.25 cubic units

D. 13.60 cubic units

Answers

Answer: B

Step-by-step explanation:

1: 5 × 1.25 = 6.25

2 × 1.25 = 2.5

1.7 × 1.25 = 2.125

2: L × W × H = 6.25 × 2.5 × 2.125 = 33.20 cubic

How many more people attended from the 40-60 class than the 60-80

Answers

Answer:7 people

Step-by-step explanation:

Answer:

Step-by-step explanation:

Evaluate bh for b = 12 and h = 2. Type a numerical answer in the space provided.

Answers

The value of bh for b =12 and h = 2 is 24

How to evaluate the expression?

The expression is given as:

Where

b = 12 and h = 2

So, we have:

bh = 12 * 2

Evaluate

bh = 24

Hence, the value of bh for b =12 and h = 2 is 24

Answers

The equation that can be used to find the height of the tree is as follows:

[tex]\frac{h}{sin 29} =\frac{40}{sin147}[/tex]

The height of the tree is 35.6 m

How to use sine rule to find height of the tree?

Th equation that can be used to find the height of the tree uses the principle of sine rule.

Therefore,

[tex]\frac{h}{sin 29} =\frac{40}{sin(180-4-29)}[/tex]

[tex]\frac{h}{sin 29} =\frac{40}{sin147}[/tex]

Therefore,

[tex]\frac{h}{sin 29} =\frac{40}{sin147}[/tex]

cross multiply

h sin 147 = 40 sin 29°

h = 40 sin 29° / sin 147

h = 19.3923848099 / 0.54463903501

h = 35.6015636045

h = 35.6 m

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20) Chester bought a new car with a sticker price of $18,675. He paid 25% of the cost as a down payment. What
amount did he finance?
O a.) $14,016.25
Ob.) $14,126.25
O c.) $14,006.25
Od.) $14,106.25

Answers

Answer:

B is correct

lim
x →1+. 1- x/x² - 1

Answers

Answer: [tex]\displaystyle \boldsymbol{-\frac{1}{2}}[/tex]

================================================

Work Shown:

[tex]\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{1-\text{x}}{\text{x}^2-1}\\\\\\\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{-(\text{x}-1)}{(\text{x}-1)(\text{x}+1)}\\\\\\\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{-1}{\text{x}+1}\\\\\\\displaystyle L = \frac{-1}{1+1}\\\\\\\displaystyle L = -\frac{1}{2}\\\\\\[/tex]

In the second step, I used the difference of squares rule to factor.

The (x-1) terms cancel which allows us to plug in x = 1. We plug this value in because x is approaching 1 from the right side.

Will mark brainliest
Find an equation of the tangent line to the function
y = 3x2
at the point P(1, 3).
Solution
We will be able to find an equation of the tangent line ℓ as soon as we know its slope m. The difficulty is that we know only one point, P, on ℓ, whereas we need two points to compute the slope. But observe that we can compute an approximation to m by choosing a nearby point
Q(x, 3x2)
on the parabola (as in the figure below) and computing the slope mPQ of the secant line PQ. [A secant line, from the Latin word secans, meaning cutting, is a line that cuts (intersects) a curve more than once.]

Answers

The equation of the tangent line to the quadratic function y = 3 · x² at the point (x, y) = (1, 3) is y = 6 · x - 3.

How to determine the equation of a line tangent to a quadratic equation by algebraic methods

Herein we must determine a line tangent to the quadratic equation y = 3 · x² at the point P(x, y) = (1, 3) by algebraic means. The slope of the line can be found by using the secant line formula and simplify the resulting expression:

m = [3 · (x + Δx)² - 3 · x²] / [(x + Δx) - x]

m = 3 · [(x + Δx)² - x²] / Δx

m = 3 · (x² + 2 · x · Δx + Δx ² - x²) / Δx

m = 3 · (2 · x + Δ x)

If Δx = 0, then the equation of the slope of the tangent line is:

m = 6 · x

If we know that x = 1, then the slope of the tangent line is:

m = 6 · 1

m = 6

Lastly, we find the intercept of the equation of the line: (x, y) = (1, 3), m = 6

b = y - m · x

b = 3 - 6 · 1

b = - 3

The equation of the tangent line to the quadratic function y = 3 · x² at the point (x, y) = (1, 3) is y = 6 · x - 3.

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Simplify. x^2+5x-/14 x²+8x+7

Answers

please send a picture of it

the equation seems a lil bit complicated

16. Describe the type of solution for the linear system of
equations given below.
2x + 3y = 15
6y=-4x + 12
F.
no solution
G. infinite solutions
H.
one solution
J. two solutions

Answers

Answer:

Step-by-step explanation:

2x+3y=15

multiply by 2

4x+6y=30 ...(1)

6y=-4x+12

4x+6y=12 ...(2)

(1) and (2) represent parallel lines.

Hence no solution.

the equation y=ax describes the graph of a line.if the value of a is negative,the line

Answers

If the value of a is negative, the line is reflected across any of the axis

How to describe the line?

The equation is given as:

y = ax

The new line is given as

y = -ax

The above implies that y = ax is transformed to y = -ax

The transformation can be any of:

reflection across the x-axisreflection across the y-axis

Hence, if the value of a is negative, the line is reflected across any of the axis

Answers

The expressions are illustrated below.

How to compute the expression?

3x = 12

x = 12/3

x = 4

x + 4 = 17

x = 17 - 4

x = 13

9y + 3 = 21

9y = 21 - 3

9y = 18

y = 18/9

y = 2

x ÷ 2 = 4

x = 4 × 2

x = 8

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A random sample of n D 225 and xN D 21 was drawn from a normal population with a known

standard deviation of 26:8: Calculate the 95% confidence interval of the population mean.

Answers

Using the z-distribution, the 95% confidence interval of the population mean is: (17.5, 24.5).

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

For this problem, the other parameters are:

[tex]\overline{x} = 21, \sigma = 26.8, n = 225[/tex]

Hence the bounds of the interval are:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 21 - 1.96\frac{26.8}{\sqrt{225}} = 17.5[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 21 + 1.96\frac{26.8}{\sqrt{225}} = 24.5[/tex]

The interval is: (17.5, 24.5).

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A ______ is more likely to capture first-mover advantages associated with demand preemption, scale economies, and switching costs. How can a lack of understanding of the measures of central tendency and variability affect business decisions? Give some examples to support your answer. the term ____ specifically refers to species that are introduced to a new area and then compete with and harm other species, as opposed to other introduced species that may be harmless. an extension of the soft palate of the mouth, which hangs in the posterior midline of the oropharynx, is the Which of the following statements about desalination is true? a. desalination is less expensive than water reclamation. b. desalination uses large amounts of energy. c. desalination is the main process used to provide water for crop irrigation. d. all of the above please select the best answer from the choices provided a b c d self-promotion is an impression management tactic intended to influence the target person to like the agent.T/F use a maclaurin series in this table to obtain the maclaurin series for the given function. f(x) = 7x cos 1 4 x2 1. Arrange the three types of firms by the severity of the principalagent problem that each faces from most to least severe.Most severe to Least severeAnswer Bank:corporationpartnershipsole proprietorship A child with a tic disorder is prescribed an antipsychotic agent as part of his treatment plan. Which of the following would the nurse expect to be prescribed?a) Aripiprazoleb) Guanfacinec) Clonidined) Haloperidol i need some help here the ban on plea bargaining in alaska proved that dangerous offenders had previously been beating the system and that plea bargaining should be discontinued. (True or False) the lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean = 39 and standard deviation = 6. use the ti-84 plus calculator to answer the following. if a married couple is covered under both spouses health insurance and the husband wishes to schedule an appointment for an annual exam, he should call his primary care provider and 8. Find the value of x in this figure. 17 15 14 13 define the linear transformation t by t(x) = ax. find ker(t), nullity(t), range(t), and rank(t). A = [\begin{array}{ccc}5&-3\\1&1\\1&8-1\end{array}\right]. (A) ker (T)= _____ the size of population necessary for any particular service to exist and remain profitable. Low threshold : convenience stores and gas stations (found in very small communities). High threshold : hospitals, high schools, and restaurants (found in larger cities and communities) most bacteriophages consist of only a ____________ coat and a ________________ core. the government and its officers must obey the , which is another way of describing the concept of limited government. typically long-term disability benefits are coordinated with which benefit plan A jar contains 8 pennies, 3 nickels, 5 dimes, and 2 quarters. If one coin is chosen from the jar, how many ways are there to get more than 4 cents

Would a scatter plot showing the size of a swimming pool and the amount of water to fill it show a positive, negative, or no relationship?

Answers

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Would a scatter plot showing the size of a swimming pool and the amount
of water to fill it show a positive, negative, or no relationship?