Subtract using a number line.

−2.9−(−0.6)

Plot the minuend and the difference on the number line. if you answer it can you put it on the number line please because i get the answers right but i put them in the wrong place

Answer:

8.1

Step-by-step explanation:

It might be wrong I'm bad at solving triangles

The internal rate of return on the investment for Burgundy Basins is 13.33%.

The internal rate of return on the investment for Burgundy Basins represents the percentage return expected from the investment, which is 13.33% in this case. It indicates the rate at which the investment's net present value is zero, meaning it is expected to generate returns equal to its cost. This makes the investment financially attractive as it offers a return higher than the company's cost of capital.

Burgundy Basins, a sink manufacturer, is considering an average-risk investment worth $36 million. The investment is projected to generate a perpetual annual return of $4.8 million. To evaluate the attractiveness of the investment, the internal rate of return (IRR) is calculated. The IRR represents the rate at which the net present value of the investment becomes zero.

In this case, the IRR is determined to be 13.33%, indicating that the investment offers a return higher than its cost. This implies that the investment is financially viable and can potentially enhance the company's profitability. However, it's important to note that other factors such as market conditions and potential risks should also be taken into consideration before making a final decision.

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The probability that the point chosen randomly in the figure lies on the shaded region is equal to 0.39 to the nearest hundredth.

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

The total possible outcome is the area of the triangle, while the required outcome is the are of the shaded semicircle.

total possible outcome = 1/2 × 20 × 10

total possible outcome = 100 square units

required outcome = 1/2 (22/7 × 5 × 5)

required outcome = 275/7 or 39.29 square units

probability a randomly chosen point lie in the shaded region = 39.29/100

probability a randomly chosen point lie in the shaded region = 0.3929

Therefore, the probability that the point chosen randomly in the figure lies on the shaded region is equal to 0.39 to the nearest hundredth.

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Answer:

$0.25 per donut.

Step-by-step explanation:

So, we know that Jamie spends the same amount of money each morning.

On Sunday, he spent $1.25 on a newspaper and bought 2 donuts.

On Monday, he spent $0.50 on a newspaper and bought 5 donuts.

Since he spend the same amount of money each morning, we can say that:

\(1.25+2x=0.5+5x\)

Where x represents the cost per donut.

So, to find the cost of a donut, we need to solve for x.

So, let's try to isolate the x. Subtract 2x from both sides:

\((1.25+2x)-2x=(0.5+5x)-2x\)

The left side cancels. Subtract on the right:

\(1.25=0.5+3x\)

Now, let's subtract 0.5 from both sides:

\(0.75=3x\)

To find x, divide both sides by 3:

\(x=0.75/3\)

Divide:

\(x=0.25\)

Therefore, each donut cost $0.25.

And we're done!

This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.

Given,

Test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade .

Now,

68% percentile : 68% scores equal or less .

27% percentile : 27^ scored equal or less .

Thus option D

This student performed better than 68% of other test taker in verbal and better than 27% in quantitative part .

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9+3×2

=9+6

=15

By applying BODMAS formula,the answer is 15.

Good Night

Answer:

Step-by-step explanation:

Option D: There is not enough evidence to suggest that the average percent increase of company sales after an advertising campaign is different from 17 percent.

The marketing manager wants to test the claim that the percent increase in company sales after an advertising campaign is different from 17 percent. To do this, a z-test statistic was calculated, which came out to be 2.43. The marketing manager wants to know if there is enough evidence to reject the null hypothesis. The significance level, or alpha, is given as 0.01.

To determine if there is enough evidence to reject the null hypothesis, we need to compare the test statistic to the critical value(s) and the p-value.

First, let's determine the type of test we should use. Since the alternative hypothesis is that the percent increase is different from 17 percent, we need a two-tailed test.

Next, we compare the test statistic to the critical value(s) based on the significance level. Since the significance level is 0.01, we need to find the critical value(s) that split the alpha evenly between the two tails of the distribution. In this case, the critical value(s) would be ±2.58 (which corresponds to an alpha of 0.005 for each tail).

Now, let's compare the test statistic (2.43) to the critical value(s) (±2.58). Since the test statistic falls within the range of the critical value(s), we do not have enough evidence to reject the null hypothesis.

Lastly, let's consider the p-value. The p-value is the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true. In this case, the p-value is given as 0.015. Since the p-value is greater than the significance level (0.01), we do not have enough evidence to reject the null hypothesis.

Based on these results, we can conclude that there is not enough evidence to suggest that the average percent increase of company sales after an advertising campaign is different from 17 percent.

COMPLETE QUESTION:

Understand and interpret the test-statistic and p-value Question A marketing manager would like to test the claim that the percent increase of company sales after an advertising campaign is different than 17 percent. If the z, test statistic was calculated as z = 2.43, does the marketing manager have enough evidence to reject the null hypothesis? Assume a = 0.01. Move the blue dot to choose the appropriate test (left, right, or two-tailed). Then, use the graph below to show the test statistic, p-value, and the rejection region to make a conclusion about the hypothesis test. Move the blue dot to choose the appropriate test Significance level = 0.01 a=0.01 a=0.025 a=0.05 a=0.1 Move the blue dot to choose the appropriate test Significance level = 0.01 a=0.01 a=0.025 a=0.05 a=0.1 a/2 = 0.005 a/2 = 0.005 p-value= 0.015 D Ź T Ő tes statistic = 2. test statistic = 2.43 Z= 2.58 Z= -2.58 powered by Select the correct answer below:

A.There is enough evidence to suggest the average percent increase of company sales after an advertising campaign is greater than 17 percent. B. There is not enough evidence to suggest the average percent increase of company sales after an advertising campaign is greater than 17 percent.

C. There is enough evidence to suggest the average percent increase of company sales after an advertising campaign is not 17 percent.

D. There is not enough evidence to suggest the average percent increase of company sales after an advertising campaign is not 17 percent.

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The solution for the inequalities is x > - 1 OR x < -1.

The mathematical expression for inequality states that neither side is equal. In mathematics, inequality occurs when the relationship results in a non-equal comparison between two expressions or numbers. Any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠).

Given  : 5x - 29 > -34 OR 2x + 31 < 29.

to solve the equations,

5x - 29 > -34 OR 2x + 31 < 29.

For 5x - 29 > -34

On adding both sides by 29.

5x > - 34 + 29 .

5x > -5

On dividing both sides by 5.

x > - 1 .

For 2x + 31 < 29.

On subtracting both sides by 31

2x < 29 -31

2x < - 2

On dividing both sides by 2.

x < -1

So , x > - 1 OR x < -1 .

Therefore, option A is correct.

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The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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Answer:

The answer is D I believe

Step-by-step explanation:

If you look at the lowest point it lands on -4

Answer:

24x^7 = 24x^7

Step-by-step explanation:

Left side of equation: 3 times 8 times X = 24x

Then you raise it to the 7th power

Right side of the equation: 6 times 4 times X = 24x

Since the exponent is the same, you keep it as the 7th power

Answer:

4 and 5 hope this helps

Step-by-step explanation:

Answer:

Option (4). 25%

Step-by-step explanation:

The graph attached shows the exponential growth.

Let the graphed function is y = \((1+\frac{r}{100})^{t}\)

Here 'r' = Rate of growth

t = Duration of time in years

y = enrollments after time 't' years

Graph shows at time 't' = 0 or initially number of enrollments = 20

After 8 years number of enrollments will be

120 = \(20(1+\frac{r}{100})^{8}\)

\(\frac{120}{20}=(1+\frac{r}{100})^{8}\)

6 = \((1+\frac{r}{100})^{8}\)

log 6 = \(8\text{log}(1+\frac{r}{100})\)

0.77815 = \(8\text{log}(1+\frac{r}{100})\)

\(\text{log}(1+\frac{r}{100})\) = 0.0972689

\((1+\frac{r}{100})=1.251\)

\(\frac{r}{100}=0.251\)

r = 25.1%

r ≈ 25%

Therefore, Option (4) will be the answer.

Answer:

25%

Step-by-step explanation:

did test and it was right

Answer:

1. Quantitative data

2. Quantitative data

3. Qualitative data

4. Qualitative data

5. Quantitative data

6. Qualitative data

7. Quantitative data

8. Qualitative data

9. Quantitative data

10. Quantitative data

Step-by-step explanation:

Qualitative data usually answers the question "what kind". Quantitative data answers the question "how many" (or "how much" ).

Answer:

quantitative or qualitative

Answer:

A image

Step-by-step explanation:

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

The derivate of a function f(x) is determinated as:

For the function

First we have to determine de f ( x + h ) as follow:

Then we calculate and simplify the coeficient in the first formula

------------------------------------------------------------------------------------The equation of the tangent:

First you need to know that the derivate of a function is equal to the slope (m) of the tangent of this function

And the equation to thist tangent in a specific point will be find using the next formula:

We have to calculate the slope in the point x =4 using the derivate:

In the point x=4

Calculate the value of f(x0) substituting in the function the given point x:

Knowing that we put the value of m and f(x0) in the equation of the tangent:

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

The normal line

The slope of the normal line is the opposite of the slope of theu tangent in an espesific point:

So in this situation is:

The equation of the normal line is given by the next formula:

Replacing the data we obtain:

3.4.1. The coordinates (ordered pair) of point A are (-4, 1).

3.4.2 The vertical and horizontal movements made from point A to point C in terms of direction and number of units for each coordinate is right 3 units and down 4 units.

In Mathematics and Geometry, an ordered pair is a pair of two (2) elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph.

Part 3.4.1

Based on the cartesian coordinate plane (grid) shown below, the coordinate points and quadrant should be identified as follows;

Point A (-4, 1) in quadrant II.

Point C (-1, -3) in quadrant III.

Part 3.4.2

(x, y)                      →    (x + h, y + k)

Point A (-4, 1)        →    Point C (-1, -3)

x + h = -1

h = -1 - x

h = -1 - (-4)

h = 3 (right 3 units).

y + k = -3

k = -3 - 1

k = -4 (down 4 units).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

(-1, 3)

Step-by-step explanation:

5x + 2y = 1

+

2x - 2y = -8

7x = -7

x= -1

2(-1) - 2y = -8

-2 - 2y = -8

-2y = -6

y = 3

Answer:

t

Step-by-step explanation:

Answer:t

Step-by-step explanation:the other person was right

Answer:

Step-by-step explanation:

455

As a result, on a graph of dP/dt vs P, the curve would be concave down for P b/a and concave up for P > b/a. The curve would reach its maximum when P = b/a, with dP/dt equal to zero.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

Here,

The equation dP/dt = aP² - bP represents the rate of change of the population P over time t.

When dP/dt is positive, the population is increasing. When dP/dt is negative, the population is decreasing.

To find when dP/dt is positive and negative, we need to find the critical points where dP/dt = 0.

Solving the equation dP/dt = aP² - bP = 0, we get:

aP² - bP = 0

aP(P - b/a) = 0

This equation has two solutions: P = 0 and P = b/a.

For P < b/a, dP/dt is negative (the population is decreasing). For P > b/a, dP/dt is positive (the population is increasing).

So, on a graph of dP/dt against P, the curve would be concave down for P < b/a and concave up for P > b/a. At P = b/a, the curve would have a maximum and dP/dt = 0.

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Answer:

3x^4

Step-by-step explanation:

Answer:

495x^10 y^5

Step-by-step explanation:

The pattern will be attached in the figure attached, in the matrix form.

What is the matrix?

The arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns are known as matrices, which is the plural version of the word matrix. They are rectangular arrays with defined operations for addition, multiplication, and transposition. The constituents of the matrix are its numbers or entries. Vertical entries in matrices are referred to as columns, whereas horizontal entries are known as rows. A matrix is a rectangular array of numbers, variables, symbols, or expressions that are defined for operations like subtraction, addition, and multiplication. The number of rows and columns in a matrix determines its size, sometimes referred to as its order.

We can arrange it as A = (0 0 0 0 1 1 0 0 1)

We know A*TA = 0

If A has an entry 9 then, the sum of all the diagonal elements.

So the T will be the form of the matrix attached below.

Hence the Pattern will be attached in the figure attached.

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a) The expected value is 75, the standard deviation is 3 and the shape is approximately normal.

b) 0.9387 = 93.87% probability that the average aptitude test in the sample will be between 70.14 and 82.14.

c) 0.0052 = 0.52% probability that the average aptitude test in the sample will be greater than 82.68.

d) 0.8907 = 89.07% probability that the average aptitude test in the sample will be less than 78.69.

e) The value of C = 81.51.

When the distribution is normal, we use the z-score formula.

In a set with mean \($\mu$\) and standard deviation \($\sigma$\), the z-score of a measure X is given by:

\($Z=\frac{X-\mu}{\sigma}$\)

The Z-score calculates the deviation of the measure from the mean in standard deviations. We glance at the z-score table after determining the Z-score to determine the p-value connected to it. The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the p-value.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \($\mu$\) and standard deviation \($\sigma$\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \($\mu$\) and standard deviation \($s=\frac{\sigma}{\sqrt{n}}$\).

The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15.

This means that \($\mu=75, \sigma=15$\)

a. By the Central Limit Theorem, it will be approximately normal, with expected value \($\mu=75$\) and standard deviation \($s=\frac{15}{\sqrt{25}}=3$\)

b. The p-value of Z when X = 82.14 subtracted by the p-value of Z when X = 70.14.

X = 82.14

\($Z=\frac{X-\mu}{\sigma}$\)

By the Central Limit Theorem

\($Z=\frac{X-\mu}{s}$\)

\($Z=\frac{82.14-75}{3}$\)

Z = 2.38

Z = 2.38 has a p-value of 0.9913.

\($Z=\frac{X-\mu}{s}$\)

substitute the values in the above equation, we get

\($Z=\frac{70.14-75}{3}$\)

Z = -1.62 has a p-value of 0.0526

0.9913 - 0.0526 = 0.9387

0.9387 = 93.87% probability that the average aptitude test in the sample will be between 70.14 and 82.14.

c. This is 1 subtracted by the p-value of Z when X=82.68.

\($Z=\frac{X-\mu}{s}\)

substitute the values in the above equation, we get

\($&Z=\frac{82.68-75}{3} \\\)

Z = 2.56 has a p-value of 0.9948.

1 - 0.9948 = 0.0052

0.0052 = 0.52% probability that the average aptitude test in the sample will be greater than 82.68

d. This is the p-value of Z when X=78.69. So

\($&Z=\frac{X-\mu}{s} \\\)

substitute the values in the above equation, we get

\($&Z=\frac{78.69-75}{3} \\\)

Z = 1.23 has a p-value of 0.8907

0.8907 = 89.07 % probability that the average aptitude test in the sample will be less than 78.69.

e. Find a value, C, such that P((x>C) = 0.015.

This is X when Z has a p-value of 1 - 0.015 = 0.985.

So X when Z = 2.17.

\($Z=\frac{X-\mu}{s}$\)

substitute the values in the above equation, we get

\($2.17=\frac{X-75}{3}$\)

X - 75 = 3 × 2.17

X = 81.51

Therefore, the value of C = 81.51

The complete question is:

MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500.

a. What are the expected value, the standard deviation, and the shape of the sampling distribution of?

b. What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14?

c. What is the probability that the average aptitude test in the sample will be greater than 82.68?

d. What is the probability that the average aptitude test in the sample will be less than 78.69?

e. Find a value, C, such that P(( x>C) = .015.

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Answer:

What does this mean?

Step-by-step explanation:

......

Answer:

24 points

Step-by-step explanation:

We are told timothy usually scores 6 points per quarter of a baektball game.

Now, there are 4 quarters in a basketball game.

Thus, number of points per game = number of points per quarter × number of quarters per game = 6 × 4 = 24 points

Answer:

1,9

Step-by-step explanation:

Cost to order as per the economic order quantity model is equal to 10units.

As given in the question,

Demand of units per month = 20 units

Ordering cost  =  $10 unit

Carrying cost = 40% of 10

                       = (40 /100) × 10

                       = $4

Economic order quantity model ( EOQ)

= √[ 2 × ( Demand rate ) × ordering cost ]/ carrying cost

Substitute the value we get,

= √ ( 2 × 20 × 10 )/ 4

= √400 / 4

= √100

= 10 units.

Therefore , as per the economic order quantity (EOQ) model cost to order is for 10 units.

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Answer:d= 19

Step-by-step explanation: