5. How long will it take Debbie to save $4,000 for the down payment if she continues to add $75 every month?
Explain how you arrived at your answer.

For the given equation:

m = 3b

The constant of proportionality is 3, so the correct option is A.

After a small search on the internet, I've found that this question asks for the constant of proportionality.

Remember that a proportional relation is of the form:

y = k*x

Where k is the constant of proportionality, and x and y are the variables.

Here the relation is:

m = 3*b

Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.

In this way, we can see that the correct option is A.

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Answer: D!!

Step-by-step explanation: No explanation so you can move on quickly!!!!:))

Answer:

GCF = 3

Step-by-step explanation:

factors of 9 are 1, 3, 9

factors of 15 are 1, 3, 5, 15

Therefore the greatest common factor is 3

Answer:

37.7 feet

Step-by-step explanation:

The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.

For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).

When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).

In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.

Answer:

18

Step-by-step explanation:

if the scale is 1 to 25, and the 25 is the same as 450, you just divide by the scale 450/25 equals 18

3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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These following answers are correct

We are given residual plots

In given(a) plot there is weak relationship between scatter points

we see curved relationship in this residual plot therefore model is unreasonable .

Note - This model is reasonable when this plot should look approximately normal and scatterplot of residuals should show random

scatter. In these plots we see weak relationship and line as model is unreasonable

2)We are given residual plot.

Given 2nd (c) plot there is strong relationship between scatter points we see positive straigh line relationship in this plot therefore model is resonable.

Also these model look approximately normal land scatterplot of residuals show random scatter.

In these plot we see strong relationship and linear model is reasonable

Therefore, these statements are correct.

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P-value if  z-3.2, a-0.05 is 0.001. Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. Correct option is B.

In hypothesis testing, we compare the results of a sample to the expected results under a null hypothesis. We calculate a test statistic, which is a measure of how far the sample results are from the expected results under the null hypothesis.

The P-value is the probability of obtaining a test statistic as extreme or more extreme than the observed test statistic, assuming that the null hypothesis is true.

If the P-value is small (typically, smaller than the level of significance), we reject the null hypothesis because it is unlikely to observe such a large deviation from the expected results under the null hypothesis by chance.

In the given situation, we are given a z-score of -3.2 and a level of significance of 0.05. We can use a standard normal distribution table or calculator to find the probability of obtaining a z-score as extreme or more extreme than -3.2. This probability is the P-value.

The P-value turns out to be approximately 0.001. This means that if the null hypothesis is true (i.e., if the new paint has a reflectometer reading of 20), there is only a 0.1% chance of observing a sample with a reflectometer reading as high or higher than the one obtained.

Since the P-value is smaller than the level of significance (0.001 < 0.05), we reject the null hypothesis. We conclude that there is sufficient evidence to support the alternative hypothesis that the new paint has a reflectometer reading higher than 20.

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Answer:To solve for q in the equation -18 + -3q = -63, we need to get q by itself on one side of the equation. We can do this by adding 18 to both sides of the equation:

-18 + -3q + 18 = -63 + 18

Simplifying, we get:

-3q = -45

Then, we can divide both sides of the equation by -3 to solve for q:

(-3q) / -3 = -45 / -3

Simplifying, we get:

q = 15

Therefore, the solution for q is 15.

Step-by-step explanation:

The distance between the two ship based on the angle of depression is 42 meters.

The distance of each ship can be calculated thus:

TanX = opposite / Adjacent

The first ship:

Tan53 = distance/ 82

distance= 108.82 meters

The second ship:

Tan39 = distance/ 82

distance= 66.40 meters

The Difference between the ships are :

Therefore, the distance between the two ships is 42 meters.

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Answer:

$31.491

Step-by-step explanation:

Price of the book=$34.99

Sale given=10%

Price of the book after sale=34.99-{(10/100)*34.99}

=34.99-3.499

=34.990-3.499

=$31.491

(a) Chin had 93.1 marbles after the game.

(b) The three children had a total of 271.44 marbles altogether.

Let's break down the problem step by step to find the answers:

Initial marbles

Before the game:

Let's assume Afiq had x marbles.

Bala had 1/6 fewer marbles than Afiq, so Bala had (x - 1/6x) marbles.

Chin had 3/5 as many marbles as Bala, so Chin had (3/5)(x - 1/6x) marbles.

After the game

After the game, Bala lost 20% of his marbles to Chin, so he has 80% (or 0.8) of his initial marbles remaining.

Afiq lost 2/3 of his marbles to Chin, so he has 1/3 (or 0.33) of his initial marbles remaining.

Calculating the marbles

(a) How many marbles did Chin have after the game?

To find Chin's marbles after the game, we add the marbles gained from Bala to Chin's initial marbles and the marbles gained from Afiq to Chin's initial marbles.

Chin's marbles = Initial marbles + Marbles gained from Bala + Marbles gained from Afiq

Chin's marbles = (3/5)(x - 1/6x) + 0.8(x - 1/6x) + 0.33x

Chin's marbles = (3/5)(5x/6) + 0.8(5x/6) + 0.33x

Chin's marbles = (3/6)x + (4/6)x + 0.33x

Chin's marbles = (7/6)x + 0.33x

We are given that Chin gained 105 marbles, so we can equate the equation above to 105 and solve for x:

(7/6)x + 0.33x = 105

(7x + 2x) / 6 = 105

9x / 6 = 105

9x = 105 * 6

x = (105 * 6) / 9

x = 70

Substituting the value of x back into the equation for Chin's marbles:

Chin's marbles = (7/6)(70) + 0.33(70)

Chin's marbles = 10(7) + 0.33(70)

Chin's marbles = 70 + 23.1

Chin's marbles ≈ 93.1

Therefore, Chin had approximately 93.1 marbles after the game.

(b) After the game, the 3 children each bought another 40 marbles. To find the total number of marbles the 3 children have altogether, we need to sum up their marbles after the game and the additional 40 marbles for each.

Total marbles = Afiq's marbles + Bala's marbles + Chin's marbles + Additional marbles

Total marbles = 0.33x + 0.8(x - 1/6x) + (7/6)x + 40 + 40 + 40

Total marbles = 0.33(70) + 0.8(70 - 1/6(70)) + (7/6)(70) + 120

Total marbles = 23.1 + 0.8(70 - 11.7) + 81.7 + 120

Total marbles = 23.1 + 0.8 × 58.3 + 201.7

Total marbles = 23.1 + 46.64 + 201.7

Total marbles = 271.44

The three children had a total of 271.44 marbles altogether.

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Question

Afiq. Bala and Chin played a game of marbles. Before the game, Bala had 1/ 6 fewer marbles than Afig and Chinhad 3/5 as many marbles as Bala.

After the game, Balahad lost 20% of his marbles to Chinwhile Afig had lost

2/3 of his marbles to Chin. Chingained 105 marbles at the end of the

game.

(a)How many marbles didChinhave after the game?

(b)After the game, the 3 children each bought another 40 marbles. How manymarbles did the 3 children have altogether?

Answer:

(A∩B)∪C = 1, 6, 12

Step-by-step explanation:

Any values A and B share with along with any unique values of C

Answer:

look at this dudeee

Surface area of the prism given is 46 inches².

The area of a three dimensional object on it's outer surface is called the surface area of the object

Given net of a prism.

The given net consists of three rectangles and two triangles.

Find the area of each of the two dimensional figures.

Given, the bases are isosceles triangles.

So the two rectangles are of dimensions 5 inch × 2.5 inch and third rectangle is of the dimensions 5 inch × 3 inch.

Total area of the rectangles = (5 × 2.5) + (5 × 2.5) + (5 × 3)

                                              = 40 inches²

Area of two triangles = 2 × \(\frac{1}{2 }\) × 3 × 2

                                   = 6 inches²

Surface area of the prism = 40 inches² + 6 inches² = 46 inches²

Hence the required area is 46 inches².

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Answer:

912.36 + 2.89 = 915.25

Answer:

x = 300

n = 410

p' = 0.7317

\(\mathbf{P' \sim Normal (\mu = 0.7317, \sigma = 0.02188)}\)

Step-by-step explanation:

From the given information;

the objective is to answer the following:

(i) Enter an exact number as an integer, fraction, or decimal.

Mean x = 300

(ii) Enter an exact number as an integer, fraction, or decimal.

Sample size n = 410

(iii) Round your answer to four decimal places.

Sample proportion p' of the drivers who always claimed they buckle up is :

p' = x/n

p' = 300/410

p' = 0.7317

Which distribution should you use for this problem? (Round your answer to four decimal places.)

P' _ ( , )

The normal distribution is required to be used because we are interested in proportions and the sample size is large.

Let consider X to be the random variable that follows a normal distribution.

X represent the number of people that always claim they buckle up

∴

\(P' \sim Normal (\mu = p' , \sigma = \sqrt{\dfrac{p(1-p)}{n}})\)

\(P' \sim Normal (\mu = 0.7317, \sigma = \sqrt{\dfrac{0.7317(1-0.7317)}{410}})\)

\(P' \sim Normal (\mu = 0.7317, \sigma = \sqrt{\dfrac{0.7317(0.2683)}{410}})\)

\(P' \sim Normal (\mu = 0.7317, \sigma = \sqrt{\dfrac{0.19631511}{410}})\)

\(P' \sim Normal (\mu = 0.7317, \sigma = \sqrt{4.78817341*10^{-4}})\)

\(\mathbf{P' \sim Normal (\mu = 0.7317, \sigma = 0.02188)}\)

Answer:

P = 0.0438 ; We reject the Null and conclude that there is significant evidence that the discharge limit per gallon of waste has been exceeded.

Due to the small sample size.

Step-by-step explanation:

H0: μ = 500

H1 : μ > 500

Test statistic :

(xbar - μ) / S.E

Tstatistic = (1000 - 500) / 200

= 500 / 200

= 2.5

Pvalue from Test score ; df = 4 - 1 = 3 ; using calculator :

Pvalue = 0.0438

At α = 0.05

Pvalue < α ; We reject the Null and conclude that there is significant evidence that the discharge limit per gallon of waste has been exceeded.

The test above has a very small sample size, and for a distribution to be approximately Normal, the sample size must be sufficiently large enough according to the Central limit theorem.

For a two sided analysis ; the Pvalue is twice that for the one sided, hence, Pvalue = (0.0438 * 2) = 0.0876 yielding a less strong evidence against the Null.

Answer: (-2,1)

Step-by-step explanation:

Step-by-step explanation:

and then we will have access you to get the information you want to cry because you have to be around and he said why he was about the feudal of his heart is the only way he could get his life back to

The solution is given below.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

from the given chart we get,

the solution is attached below.

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Answer:

Below

Step-by-step explanation:

1.4 m = .42     divide both sides of the equation by   1.4 to get

 m = .3     Done.

In decimal form, this is equivalent to -0.6

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

Explanation:

This segment bisector is cutting side BC in half. So we have a point D such that it is between B and C. Also, we can say BD = DC. Refer to the diagram below.

To find the location of D, we'll apply the midpoint formula to points B and C.

B(1,2) and C(7,6) have x coordinates of 1 and 7 respectively. Average those x values to get (1+7)/2 = 8/2 = 4. This is the x coordinate of point D.

Repeat this idea for the y coordinates. We'll get (2+6)/2 = 8/2 = 4 which is the y coordinate of D.

Point D is located at (4,4)

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

The takeaway from that last section, if we were to summarize it in one sentence, is that D is located at (4,4).

Now focus on the points A(-1,7) and D(4,4)

We'll apply the slope formula

m = (y2-y1)/(x2-x1)

m = (4-7)/(4-(-1))

m = (4-7)/(4+1)

m = -3/5 is the slope

Notice that to go from A to D, we can drop down by 3 units and move to the right 5 units. We can say rise = -3 and run = 5; therefore, slope = rise/run = -3/5

Answer:

Step-by-step explanation:

110

Answer:

15.25

Step-by-step explanation:

Answer:

328 square inches

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

Lateral Area of Pyramid:

L = 1/2Pl

l = 15.9

P = 2(8.2) + 2(8.2) = 32.8

L = 1/2(32.8)(15.9) = 260.76

Surface Area:

SA = B + L

B = (8.2)(8.2) = 67.24

L = 1/2(32.8)(15.9) = 260.76

SA = 67.24 + 260.76 = 328

If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.

Mathematically, the volume of a pyramid is given by the formula:

\(Volume = \frac{1}{3} \times base\;area \times height\)

For the base area:

The area of a right triangle is given by:

\(A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}\)

A = 54 square units.

Given the following data:

Volume of a pyramid = 234 units.

Side lengths of right triangle = 9 and 12 units.

Now, we can calculate the height of the pyramid:

\(234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}\)

h = 13 units.

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Answer:

14×7=98

188-98=90 so she had 90 left