Merit raises for the year must be divided among four top employees. The amounts will be distributed based on their varied performance ratings. Employee A will get 25% of Employee B's raise. Employee B's raise will be 50% of Employee C's raise and Employee C's raise will be 80% of Employee D's raise. Based on the information provided above, what percentage of Employee D's raise will Employee A receive?

Based on the provided informations, the function f(x) is calculated out to be f(x) = \($\frac{1}{25}(6+10x)^{\frac{5}{2}}+13-\frac{1}{25}(16)^{\frac{5}{2}}$\)

We can find the function f(x) by integrating the given derivative function f'(x). Using the power rule of integration, we have:

\(\int \sqrt{x(6+10x)} dx\)

We can simplify this expression by using substitution. Let u = 6 + 10x, then du/dx = 10 and dx = du/10. Substituting these into the integral, we have:

\($f(x) = \int \sqrt{x(6+10x)} dx\)

\(= \frac{1}{10}\int \sqrt{x}u^{\frac{1}{2}}du\)

\(= \frac{1}{10}\int u^{\frac{3}{2}}du\)

\(= \frac{1}{10}\cdot \frac{2}{5}u^{\frac{5}{2}}+C\)

\(= \frac{1}{25}(6+10x)^{\frac{5}{2}}+C$\)

where C is the constant of integration.

Using the given initial condition f(1) = 13, we can solve for the constant of integration:

\($f(x) = \frac{1}{25}(6+10x)^{\frac{5}{2}} + C\)

\(13 = \frac{1}{25}(16 +10x)^{\frac{5}{2}} +C\right)$\)

\(C= 13 - \frac{1}{25}(16)^{\frac{5}{2}}\right)$\)

Therefore, the function f(x) is:    \($\frac{1}{25}(6+10x)^{\frac{5}{2}}+13-\frac{1}{25}(16)^{\frac{5}{2}}$\)

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Answer:

125%

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

What percent is 250 of 200? If you are using a calculator, simply enter 250÷200×100 which will give you 125 as the answer.

Hope that helps

Have a good day :)

Answer:

You are correct, the answer that you highlighted

Step-by-step explanation:

We know y is LESS than the expression, therefore the shaded area would be at the bottom. Furthermore, the expression tells us simply that y is LESS than 1-3x, NOT EQUAL. Therefore, the graph must have a dotted line.

I hope this helps! :)

The approximately 68% of daily phone calls in the mid-size company are expected to fall between 27 and 43.

According to the empirical rule, also known as the 68-95-99.7 rule, for a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean. In this case, the mean is 35 and the standard deviation is 8.

Therefore, the range between 27 (mean - one standard deviation) and 43 (mean + one standard deviation) represents the middle 68% of the distribution. This means that approximately 68% of daily phone calls in the company are expected to fall within this range.

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Answer: 1 tablespoon

Step-by-step explanation:

This is an example of a (B) stratified sample.

Therefore, this is an example of a (B) stratified sample.

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The complete question is given below:

A public opinion poll in Ohio wants to determine whether registered voters in the state approve of a measure to ban smoking in all public areas. The researchers select a simple random sample of 50 registered voters from each county in the state and ask whether they approve or disapprove of the measure. This is an example of

A) a systematic county sample

B) a stratified sample

C) a multistage sample

D) a simple random sample

The crucial value (z) relies on the desired level of confidence and is predicated on a normal distribution when creating a confidence interval for a proportion (p) with a confidence level of 93%.

A 93% confidence level in this instance translates to an alpha level of 0.07 (1 - 0.93 = 0.07) that is split evenly between the two tails. In the usual normal distribution table, we search for the value that falls within the range of 0.07 to find the proper z-value. A 93% confidence level corresponds to a z-value of roughly 1.81. The confidence interval for the proportion p may be calculated using this number and provides a range where the genuine proportion is like to fall.

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The probability that for a random sample of 45 wait times, the mean is between 185.7 and 206.5 seconds is 94%.

To solve this problem, we can use the Central Limit Theorem, which states that the distribution of sample means is approximately normal for large sample sizes.

First, we need to calculate the standard error of the mean (SEM) using the formula

SEM = standard deviation / sqrt(sample size)

SEM = 29.5 / sqrt(45) = 4.4

Next, we can standardize the sample mean using the formula

z = (x - μ) / SEM

where x is the sample mean, μ is the population mean, and SEM is the standard error of the mean.

For the lower limit, we have

z = (185.7 - 193.2) / 4.4 = -1.70

For the upper limit, we have

z = (206.5 - 193.2) / 4.4 = 3.02

We can use a standard normal distribution table or calculator to find the probabilities associated with these z-scores.

The probability of z being between -1.70 and 3.02 is approximately 0.9429 or 94%. Therefore, the probability that for a random sample of 45 wait times, the mean is between 185.7 and 206.5 seconds is 94%.

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Answer:

Step-by-step explanation:

7m=28

m=4

-30=p-17

p= -13

z= -18

Answer:I

I am not exactly sure which one you're talking about but I am going to assume that you're talking about the 2nd one, but the answer would be p = 15

Answer:

x=3

Step-by-step explanation:

3x+4=2x+10

-3       -3

4= -1x+10

-10     -10

-6= -1x

divide by -1

x=6

Thats how you do it

Answer:

x=6

Step-by-step explanation:

first you have to subtract 4 from both sides

3x=2x+10-4

then simplify 2x+10-4 to 2x+6 so you will get

3x=2x+6

-2 -2

(^^you subtract 2x from both sides )

then you get your answer which is x=6

Option:-

\( \: \)

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps ⸙

Answer:

a) 3x + 2

Step-by-step explanation:

Now we have to,

→ Find the quotient of the following.

Given problem,

→ (9x + 6) ÷ 3

Let's find the required quotient,

→ (9x + 6) ÷ 3

→ (9x + 6)/3

→ (9x/3) + (6/3)

→ (3x) + (2)

→ 3x + 2

Hence, the option (a) is correct.

The equation of the translated graph of the function y = sinx is y = sinx - 3

Translation is a way of changing the position of an object on an xy-plane.

Given the parent function y = sinx

If the function is translated using the vector <0, -3>, this shows a vertical translation downwards by 3 units to have a resulting function y = sinx - 3

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The graph of the function y = 2x² + 6x + 3 is graph A

From the question, we have the following parameters that can be used in our computation:

y = 2x² + 6x + 3

When converted to vertex form, we have

y = 2(x  + 3/2)² - 3/2

The above function is a quadratic function that has been transformed as follows

From the list of options, the graph tha has the above transformation features is graph A

Hence, the graph of the function is (a)

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Because it only covers those who are entering the sports centre, the survey will be prejudiced.

This means that the survey will only reflect the opinions of those who are likely to have positive perceptions of the sports facilities and who are interested in using them. It does not include the viewpoints of those who do not use or hold a poor opinion of the sporting facilities.

Those who don't use the facilities, for instance, could have bad perceptions of the sports centre if it is renowned for being pricey or challenging to get to. The survey will miss important information if it simply polls visitors to the sports centre.

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The answer is [ -14 * n ]

56 / -14 = -4

Check.

-14 * -4 = 56

Thus, proves our answer.

Best of Luck!

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x/15=1

Answer:

A Set

Explanation:

A set is a well-defined collection of objects called elements or members of the set.

a) The distribution is roughly symmetric and bimodal. b) The histogram has two modes, which may be due to the different shoe size scales used for men and women in the U.S. but not in Europe.

The histogram of European shoe sizes of 269 male and female college students converted from their reported US shoe sizes is not visible based on the information provided, but the questions are clear.

a) The shape of the distribution is not visible, but it is mentioned that it is "roughly symmetric and bimodal".

b) There are two modes in the histogram. This could be because shoe sizes in the United States are defined differently for men and women, but not in Europe. As a result, the histogram of the distribution of European shoe sizes for both men and women may show two distinct peaks.

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Answer: -4 and 9

Step-by-step explanation:

Answer:

$70.125

Step-by-step explanation:

First multiply $425*5.5/100*3 and you get:

$70.125

Answer:Quotient =3x^2 +8x +4

Remainder=16

Step-by-step explanation:

Answer:

174

Step-by-step explanation:

\(\huge \text{Hello there! :)}\)

Answer:

The algebraic expression is as followed:

Step-by-step explanation:

Given the following question:

If you have any doubts about my answer please let me know.

\(-Nature-\)

\(\huge \text{Thanks for choosing Brainly! :)}\)

Answer:

learning only lang po yan

Step-by-step explanation:

basa lang yan katulad ko basa lang rin

Answer:

1. $78-27

= 51 for movie tickets

51÷8,50=8

therefore Nate can invite 6 friend

2.$150-$22

=$128 for the club

$128÷$16= 8months

therefore Serena can use the club for 8months

3.$65-$23=$42

$42÷$14= 3

Chuck will be able to buy only 3 CDs

6.Peter has $3.50

7.$35-$20=$15

$15÷$0.50=30 rides

8.$60-$32=$28

$28÷4=7clown stay

a)The expected profit is $4,000. b)The standard deviation for the profit is approximately $4,898.98.

a) To calculate the expected profit, we multiply the profit by the probability of it happening:

Expected profit = Profit * Probability

Given:

Profit = $10,000

Probability = 40% = 0.4

Expected profit = $10,000 * 0.4 = $4,000

Therefore, the expected profit is $4,000.

b) To find the standard deviation for the profit, we need more information about the probability distribution of the profit. If we assume that the profit follows a Bernoulli distribution (with only two possible outcomes: getting the contract or not), we can calculate the standard deviation using the formula:

Standard deviation = √(Probability * (1 - Probability) * Profit^2)

Given:

Profit = $10,000

Probability = 40% = 0.4

Standard deviation = √\((0.4 * (1 - 0.4) * $10,000^2)\)

                = √(0.4 * 0.6 * $100,000,000)

                = √(24,000,000)

                ≈ $4,898.98

Therefore, the standard deviation for the profit is approximately $4,898.98.

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Answer:

DG = 48

Step-by-step explanation:

if line r bisects DG at point E, then point E is midpoint of DG

so DG = 2DE

5z - 7 = 2(2z + 2)

5z - 7 = 4z + 4

5z -  4z = 4 + 7

z = 11

DG = 5z - 7 = 5(11) - 7 = 55 - 7 = 48

Answer: 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Write 10% as 10/100

Of means multiply (as a math term) --

Consequently, the final step becomes 10/100 x 40:

- Multiply 10 and 40: 400

- Divide the 400 by 100 = 4

Have a nice day ~!

1. To calculate the percentage change in the price of a slice of pizza, we can use the midpoint formula:

Percentage change = [(New value - Old value) / ((New value + Old value) / 2)] * 100

Old value: $5 New value: $13

Percentage change = [($13 - $5) / (($13 + $5) / 2)] * 100 Percentage change = [(8) / (18 / 2)] * 100 Percentage change = (8 / 9) * 100 Percentage change = 88.89%

The percentage change in the price of a slice of pizza is approximately 88.89%.

2. To calculate the percentage change in the quantity of Sprite, we can use the same formula:

Old value: 15 cups New value: 17 cups

Percentage change = [(17 - 15) / ((17 + 15) / 2)] * 100 Percentage change = (2 / 16) * 100 Percentage change = 12.5%

The percentage change in the quantity of Sprite is 12.5%.

3. To calculate the Cross Price Elasticity of Demand, we use the formula:

Cross Price Elasticity = [(New quantity - Old quantity) / ((New quantity + Old quantity) / 2)] / [(New price - Old price) / ((New price + Old price) / 2)]

Old price of pizza: $5 New price of pizza: $13 Old quantity of Sprite: 15 cups New quantity of Sprite: 17 cups

Cross Price Elasticity = [(17 - 15) / ((17 + 15) / 2)] / [(13 - 5) / ((13 + 5) / 2)] Cross Price Elasticity = (2 / 16) / (8 / 9) Cross Price Elasticity = (2 / 16) * (9 / 8) Cross Price Elasticity = 0.28125

The Cross Price Elasticity of Demand is 0.28125.

4. Based on the positive percentage change in the price of a slice of pizza and the positive Cross Price Elasticity of Demand, we can conclude that Sprite and a slice of pizza are substitutes.

In summary:

The percentage change in the price of a slice of pizza is approximately 88.89%.

The percentage change in the quantity of Sprite is 12.5%.

The Cross Price Elasticity of Demand is 0.28125.

Sprite and a slice of pizza are substitutes.

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