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(6x + 20)
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Q
(2x + 4)
R

Answer:

-23 31/40

Step-by-step explanation:

The quotient of 2.860 divided by 61.4, expressed with the correct number of significant figures, is approximately 0.0466.

To calculate the quotient, divide 2.860 by 61.4:

2.860 ÷ 61.4 = 0.046590909...

Since we need to express the result with the correct number of significant figures, we consider the significant figures in the original numbers.

The number 2.860 has four significant figures, and the number 61.4 has three significant figures.

To ensure the final result has the correct number of significant figures, we round it to match the least number of significant figures in the original numbers. In this case, it is three significant figures (from 61.4).

Rounding the result, we get approximately 0.0466, with three significant figures.

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All of the above options a) implement an expansion strategy b)attract capital c)reduce tax burdens d)easy entry into an industry e)take advantage of limited liability ,are correct.

A corporation is generally set up to take advantage of limited liability. This means that the owners of the corporation (the shareholders) are not personally responsible for the debts and obligations of the corporation. The other options you have listed are also potential reasons for setting up a corporation, but they are not the primary purpose of a corporation.

An expansion strategy refers to a company's plan for growth and expansion, and setting up a corporation can be one way to implement this strategy. Attracting capital refers to the process of raising funds for a business, and a corporation may be able to attract more capital because it is a separate legal entity that can issue stocks and bonds. Reducing tax burdens refers to the process of minimizing the amount of taxes a business has to pay, and a corporation may be able to do this because it is taxed as a separate entity. Finally, setting up a corporation can also make it easier for a business to enter an industry because it provides a legal framework for the business and can make it easier to raise capital.

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In a 4x3x2x2 factorial experiment, you have 4 independent variables and potentially 4 main effect hypotheses.

The 4 independent variables are represented by the four numbers in the experimental design

(i.e., 4 levels of variable A, 3 levels of variable B, 2 levels of variable C, and 2 levels of variable D).

The potentially 4 main effect hypotheses are one for each independent variable, which states that there is a significant effect of that independent variable on the outcome variable.

A factorial experiment includes multiple factors simultaneously, each consisting of two or more

levels. Many factors simultaneously influence what is studied in a factorial experiment, and

experimenters consider the main effects and interactions between factors.

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Answer:

C

Step-by-step explanation:

The best description of the distribution is bimodal with a gap.

Here in the plot, we can see that there are two peaks and it implies that there are two modes.

This can be seen in a histogram as a distinct gap between two cohesive groups of bars. When two clearly separate groups are visible in a histogram, you have a bimodal distribution. Literally, a bimodal distribution has two modes, or two distinct clusters of data

We can see that there is a gap between the two modes. So the best description of the distribution is bimodal with a gap.

The following dot-Plot shows the bimodal with a gap.

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Answer:

There are 192 employees in the company.

Step-by-step explanation:

Let x be the total number of employees

Use ratio and proportion

\(\frac{120}{x} =\frac{5}{8} \\5x = 120(8)\\5x = 960\\\frac{5x}{5} = \frac{960}{5} \\x = 192\)

x = 192

Step-by-step explanation:

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ar vi ing

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Answer:

The number is:

-8

Step-by-step explanation:

2(a/2 + 6 ) = 4

2*a/2 + 2*6 = 4

2a/2 + 12 = 4

a + 12 = 4

a = 4-12

a = -8

Check:

2(-8/2 + 6) = 4

2(-4+6) = 4

2*2 = 4

Answer:

1.E

2.C

3.B

4.A

5.D

Answer:

Step-by-step explanation:

1) 3/4x = 1/2       2) 2x = 3/11        3) 1 1/2 x = 12      4) 1/5x = 1/6

   x = 1/2 * 4/3         x = 3/11 * 1/2       3/2x = 12             x = 1/6 *5/1

    x = 2/3                   x = 3/22              x = 12 * 2/3       x = 5/6

                                                               x = 4*2

                                                               x= 8

5) 5x = 15/21           6) 2/3 x  = 3/2

    x = 15/21 *5               x = 3/2 * 3/2

    x = 75/21                  x =9/4

    x = 3.5                      x = 2.25

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The height of this hill is given as :  51.88 feet.

How to solve for the height of the hill

We can use trigonometry to find the height of the hill. Let's call the height of the hill "h".

From the information given, we know that:

tan(27°) = h / (103/2)

h = (103/2) * tan(27°)

Using a calculator, we would have to go ahead to get the value of the variable h or height.

So  that h ≈ 51.88 feet.

So, the height of the hill is approximately 51.88 feet.

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Answer:

y = (p+q)² - 5

Step-by-step explanation:

Use the wording to do this:

y = (p+q)² - 5

Answer:

To find the slope of the line, you can use the formula for slope: slope = (y2 - y1)/(x2 - x1). In this case, you can rewrite the equation 2-y = 8x as y = 2 - 8x. This is the standard form of a line: y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).

Since the equation of the line is already in standard form, you can find the slope by looking at the coefficient of the x term. In this case, the coefficient of the x term is -8, so the slope of the line is -8.

Alternatively, you can plug in the coordinates of two points on the line into the formula for slope to find the slope. For example, if you know that the line passes through the points (1, -14) and (2, -10), you can use these points to find the slope:

slope = (y2 - y1)/(x2 - x1) = (-10 - (-14))/(2 - 1) = (-10 + 14)/1 = 4/1 = 4

This method gives the same result as using the standard form of the equation.

Step-by-step explanation:

Answer:

1.94

Step-by-step explanation:

Divide 5.95 by 3

Question 12

\(\frac{(100)(5)(11)}{(18)(2)} \\ \\ =\frac{(50)(5)(11)}{18} \\ \\ =\frac{(25)(5)(11)}{9} \\ \\ =\boxed{\frac{1325}{9}}\)

Question 13

\(\frac{(6a)(5b^2)}{3a^3} \\ \\ =\frac{6(5b^2)}{3a^2} \\ \\ =\frac{2(5b^2)}{a^2} \\ \\ =\boxed{\frac{10b^2}{a^2}}\)

slope-intercept form of a line (L1): y = mx + b; where m is the slope and b the y - intercept.

If two lines are parallel, that means the slope of both equations are equal.

L2: y = 3x - 7, m = 3

So, m for L1 is m = 3.

Now we just need to find y - intercept, as follows:

L1 passes through (0,4), then:

4 = 3(0) + b

4 = 0 + b

b = 4

The equation for the line is y = 3x + 4

After computing a confidence interval, the user believes the results are meaningless because the width of the interval is too large, the best recommendation is c. Increase the sample size.

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specific confidence level; the 95% confidence level is the most commonly used, but other levels, such as 90% or 99%, are also used.

Confidence intervals are used by statisticians to quantify uncertainty in a sample variable. A researcher, for example, may randomly select different samples from the same population and compute a confidence interval for each sample to determine how well it may represent the true value of the population variable. The resulting datasets are all unique, with some intervals containing the true population parameter and others not.

In this case, the sample size should be increased when the results are meaningless because the width of the interval is too large.

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Complete questions

After computing a confidence interval, the user believes the results are meaningless because the width of the interval is too large. Which one of the following is the best recommendation?

a. Increase the level of confidence for the interval

b. Decrease the sample size

c. Increase the sample size

d. Reduce the population variance

Answer:

On the left because their both positive and the other one is not and also the left one is on the left y axil

We can be 99% confident that the true average price of a regular room with a king size bed falls within this interval.

The interval estimate to estimate the true average price of a regular room with a king size bed in the resort community with 99% confidence can be constructed using the sample mean, sample standard deviation, and the critical value for a 99% confidence level.

Given that the sample mean is $125 and the sample standard deviation is $30, we can calculate the margin of error using the formula:

Margin of Error = (Critical Value) * (Standard Deviation / √Sample Size)

Since we have a sample size of 18 and we want a 99% confidence level, the critical value can be obtained from the Z-table or using statistical software, and for a 99% confidence level, it is approximately 2.878. Plugging in the values, we get:

Margin of Error = 2.878 * (30 / √18) ≈ 18.71

The interval estimate is then constructed by adding and subtracting the margin of error from the sample mean:

Interval Estimate = Sample Mean ± Margin of Error

Interval Estimate = $125 ± $18.71

Rounded to two decimal places, the interval estimate for the true average price of a regular room with a king size bed in the resort community with 99% confidence is approximately $106.29 to $143.71.

# A travel agent is interested in the average price of a hotel room during the summer in a resort community. The agent randomly selects 18 hotels from the community and determines the price of a regular room with a king size bed. The average price of the room for the sample was $125 with a standard deviation of $30. Assume the prices are normally distributed. Construct an interval to estimate the true average price of a regular room with a king size bed in the resort community with 99% confidence. Round the endpoints to two decimal places, if necessary.

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Answer:

kid 1 = 11yr

kid 2 = 9yr

kid 3 = 5yr

Step-by-step explanation:

Answer:

Photo :)

Step-by-step explanation:

Got it right :))

Answer:

The expressions have equivalent values for any value of x

The expressions have equivalent values when x = 6.

When x=10, both expressions have a value of 33

Step-by-step explanation:

Given: The market price of a stock = $48.15, Dividend just paid = $5.79, Expected growth rate of dividend = 3.79%To find: Required rate of return for the stock Let's assume the required rate of return is "r" According to the constant growth model of dividends,

The present value of future dividends can be calculated as follows, PV of future dividends = D / (r-g)where D = dividend just paid = $5.79g = expected growth rate of dividend = 3.79%Now, let's substitute the given values, PV of future dividends = 5.79 / (r - 3.79%)As per the problem, the market price of the stock is $48.15. This means that the present value of all future dividends is equal to the current stock price. So we can set up the following equation, PV of future dividends = 48.15Substituting the value of the present value of future dividends in the above equation,5.79 / (r - 3.79%) = 48.15Solving for r, we get,r = 12.29%Hence, the required rate of return for the stock is 12.29%.

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Answer:

$3.74

Step-by-step explanation:

Proportions:

6 pounds ⇔ $22.44

1 pound ⇔ $ C

C = 22.44*1/6

C = $3.74

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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Answer:  

≈

17

%

Explanation:

A sum of 7 can be achieved the following ways.

5 and 2

2 and 5

4 and 3

3 and 4

6 and 1

1 and 6

There are

6/2

=

3/6

possible outcomes and 6 ways to obtain the sum of 7 so

6 3/6

≈

17

%

There are the number of pods of peas are  = 38

A number is split in the straightforward action of division. It's simpler to visualize it as a set of items being distributed to a certain group of individuals, as in the scenario given above. Naturally, in the interest of fairness, you should always offer each person the same amount.

One of the four fundamental operations of arithmetic, or how to mix numbers to create new ones, is division. Addition, subtraction, and multiplication are the other operations.

total number of peas = 288

peas have per pod  = 6

total number of pods required  = 288/6

                                                    = 38

there are the number of pods of peas are  = 38

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I understand that the question you are looking for is:

George Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today Gregor has 228 peas to examine . The pods have 6 peas per pod. How many pods of peas are there?