The slats on Venetian blinds are designed to remain parallel in order to direct the path of light coming in a window. In √FGHJ, FJ = 3/4 inch, F G=1 inch, and m∠JHG = 62.

Find the following measure.

d. m∠FJH

Answer:

7g-13

Step-by-step explanation:

Answer:

-13 +17g

Step-by-step explanation:

−3 + 6g + 11g −10

-13 + 6g + 11g

-13 + 17g

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

When testing differences between the mean scores of more than two unconnected groups, the appropriate statistical technique to select is analysis of variance ANOVA.

When comparing the means of more than two unconnected groups, ANOVA is the appropriate statistical technique to use. ANOVA allows for the analysis of variance between multiple groups simultaneously. It tests whether there are significant differences in means among the groups based on the variability within and between the groups. ANOVA provides an F-statistic and associated p-value to determine if there are significant differences in means.

The dependent samples t-test (option b) is used when comparing the means of two related groups, where the same subjects are measured under different conditions or at different times. Regression (option c) is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. The independent samples t-test (option d) is appropriate when comparing the means of two independent groups. However, when dealing with more than two groups, ANOVA is the preferred method as it allows for a comprehensive analysis of variance across all groups simultaneously.

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Answer:

Your question is not very clear, hope I get what you want

Step-by-step explanation:

2x-1+3

=2x+2

=2(x+1)

Answer:The graph in the attached figureStep-by-step explanation:we have\(g(x)=2^{x-1}+3[/ tex

Ernie has read 165 pages of the book.

Ernie has read 55% of his book which has 300 pages.

To find out how many pages Ernie has read, we can use a simple formula that involves finding 55% of 300.

We start by converting 55% to a decimal by dividing it by 100. This gives us 0.55.

We then multiply this decimal by 300 to find out how many pages Ernie has read.

This calculation is useful for keeping track of progress when reading a book or any other document that has a known length or size.

It can also be used to calculate the percentage of completion or progress made towards a goal.

For example,

If a student has completed 75% of a test that has 100 questions, we can use a similar formula to find out how many questions they have answered correctly.

In general,

To calculating percentages is a useful skill to have in many different contexts, from finance and business to science and engineering.

It allows us to express a proportion or rate as a percentage, which can make it easier to interpret and compare with other values.

55% of 300:

55% = \(\frac{55}{100}\) (convert percent to decimal)

\(\frac{55}{100}\) x 300 = 165

Therefore, 55% of 300 is 165.

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The calculated value of d is 4

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

The circle

The value of d can be calculated using the equation of secant and tangent intersection

using the above as a guide, we have the following:

d * 9 = 6 * 6

Evaluate the products

So, we have

9d = 36

Divide by 9

d = 4

Hence, the value of d is 4

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the value of y is -1

Answer:

Because they used different units of measurement.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sum of all angles of triangle = 180

17x + 10x -5 +  50 = 180

Combine like terms

27x + 45 = 180

To find the valu of x, we have to isolate x. To isloate x

Step 1: Subtract 45 from both sides

           27x = 180 - 45

           27x = 135

Step 2: Divide both sides by 27

               x = 135/27

x = 5

a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. b)  Guy will pay $4,070 in tax on the $11,000 dividend he received. c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated.

a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. This is because the dividends distributed to shareholders are not deductible expenses for the corporation. Dividends are paid out of after-tax profits and are not considered a deductible expense for the distributing corporation.

b) Guy will pay $4,070 in tax on the $11,000 dividend he received from Marathon Incorporated, including the net investment income tax. To calculate the tax, we need to consider Guy's marginal ordinary tax rate and the net investment income tax. Assuming Guy's marginal ordinary tax rate is 37 percent, the tax on the dividend would be $4,070 (0.37 * $11,000). The net investment income tax is an additional 3.8 percent tax on investment income for individuals with certain income thresholds, so it would also apply to the dividend income received by Guy.

c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated. This is because C corporations are eligible for a 50 percent dividends-received deduction. The dividends-received deduction allows corporations to exclude 50 percent of the dividends received from taxable income. In this case, Little Rock Corporation would be able to exclude $16,500 (50 percent of $33,000) from its taxable income, resulting in a tax liability of $0 on the dividend income.

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A centigram is 100 times larger than a milligram. So, the option b) 100 times is correct for this question.

1 centigram = 100 milligrams. A centigram is a unit of mass in the metric system, equivalent to one hundredth of a gram. A milligram, on the other hand, is a unit of mass in the metric system, equivalent to one thousandth of a gram. Therefore, a centigram is 100 times larger than a milligram. The conversion between the two units can be easily calculated as 1 centigram is equal to 100 milligrams. The use of centigrams is limited in common applications, with milligrams being the preferred unit for expressing very small masses, while grams and kilograms are used for larger masses.

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The probability that the two students are of the Opposite gender is 0.508

It is given that there are a total number of 32 students of which 18 are girls and 14 are boys. Let us assume that the Probability of getting a girl is indicated by P(G) and the probability of getting a boy is indicated by P(B).

Probability of getting a Girl and a boy = P(GB)

Probability of getting a boy and a girl = P(BG)

Sampling will be done without replacement

Now, the probability of getting two students of the opposite gender can be determined by:

=> P(GB) + P(BG)

First, we will find P(GB)

=> P(GB) = P(G) + P(B)

=> P(GB) = (18/32) + (14/31)

=> P(GB) = 0.2540

Similarly, for P(BG)

=> P(BG) = P(B) + P(G)

=> P(BG) = (18/32) + (14/31)

=> P(BG) = 0.2540

we will find out the probability of selecting two students by

=> P(GB) + P(BG)

=> 0.2540 + 0.2540

=> 0.508

Hence, the probability of selecting two students at random of the opposite gender will be 0.508

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Complete Question:

In a class, there are 18 girls and 14 boys. If the teacher selects two students at random to attend a party with the principal, what is the probability that the two students are the opposite gender?

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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The larger pool will hold is 100 times more gallons than the smaller pool

From the question, we are to determine how many times more gallons the larger pool holds than the smaller pool.

From the given information,

Capacity of the larger pool = 2 × 10¹⁰ gallons

Capacity of the smaller pool = 2 × 10⁸ gallons

we will simply divide the capacity of the larger pool by the capacity of the smaller pool.

That is,

2×10^10÷2×10^8

=10^2

=100

Thus, the answer is 100 times

Hope it helps you

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The factored form of the quadratic equation 2x² + 25x + 50 is (2x + 5)(x + 10)

Factoring quadratics is a method of expressing the quadratic equation ax² + bx + c = 0 as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax² + bx + c = 0.

Therefore, let's factor the equation 2x² + 25x + 50.

2x² + 25x + 50

The two numbers one can multiply and add to get 100 and 25 respectively are 20 and 5.

Therefore,

2x² + 20x + 5x + 50

2x(x + 10)+ 5(x + 10)

Therefore,

(2x + 5)(x + 10)

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Answer:

Santos should run approximately 36.145 meters along the shore

Step-by-step explanation:

The given parameters are;

The distance along the shore of the child = 50 meters

The distance from the shore of the child = 60 meters

The rate at which Santos can run = 4 m/s

The rate he can swim = 0.9 m/s

Let 'x' represent the distance he runs along the shore

We have;

The time he spends running on the shore, t₁ = x/4

The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9

The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9

To find the maximum, we have;

dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

Simplifying using a graphing calculator gives;

\(\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}\)

1519·x² - 151900·x + 3505900 = 0

x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)

x ≈ 63.86 m or x ≈ 36.145 m

We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same

Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child

Answer:

A=4 B=18

Step-by-step explanation:

According to the given image, the correct option is (C) "a translation two units to the left and two units down, followed by a reflection over the x-axis."

The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation.

In particular, the change of algebraic equations is a typical kind of algebraic problem.

As seen on the graph, the square PQRS has translated 2 units to the left and 2 units to the right before being reflected on the x-axis.

an interpretation Following a reflection across the x-axis, there are 2 units down and 2 units to the left. As a result, choice C is the right response.

Therefore, according to the given image, the correct option is (C) "a translation two units to the left and two units down, followed by a reflection over the x-axis."

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Complete question:

Squares PQRS and TUVW are shown below. Which sequence of transformations of square

PQRS shows that square PQRS is congruent to square TUVW.

A) A translation 2 units up and 2 units to the right, then a reflection over the x-axis

B) A translation 2 units up and 2 units to the right, then a reflection over the y-axis

C) A translation 2 units down and 2 units to the left, then a reflection over the x-axis

D) A translation 2 units down and 2 units to the left, then a reflection over the y-axis

ip flow-export destination 172.17.8.25 2055 is the set up a netflow collector using ip address 172.17.8.25 on udp port 2055.

What is netflow collector?

Hence, the ip flow-export destination 172.17.8.25 2055 is the set up a netflow collector using ip address 172.17.8.25 on udp port 2055.

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Answer:

{x,y} = {5,8}

Step-by-step explanation:

 [1]           7x-3y+5=16

 [2]           4y=3x+17

  [1]    7x - 3y = 11

  [2]    -3x + 4y = 17

// Solve equation [2] for the variable  y  

 [2]    4y = 3x + 17

 [2]    y = 3x/4 + 17/4

// Plug this in for variable  y  in equation [1]

  [1]    7x - 3•(3x/4+17/4) = 11

  [1]    19x/4 = 95/4

  [1]    19x = 95

// Solve equation [1] for the variable  x  

  [1]    19x = 95  

  [1]    x = 5  

// By now we know this much :

   x = 5

   y = 3x/4+17/4

// Use the  x  value to solve for  y  

   y = (3/4)(5)+17/4 = 8

Answer:

If there is no context given, you cannot find out whether the graph is discrete or continuous.

(a) The expected profit of this policy to the insurance company is $520.10.

(b) The interpretation value of expected profit in (a) in the context of the problem is small probability of the policyholder's death.

(a) The expected profit to the insurance company can be calculated as follows:

Expected Profit = (Probability of Survival * Premium) - (Probability of Death * Death Benefit)

Probability of Survival = 0.997

Probability of Death = 1 - Probability of Survival = 1 - 0.997 = 0.003

Premium = $780

Death Benefit = $250,000

Expected Profit = (0.997 * $780) - (0.003 * $250,000) = $520.10

Therefore, the expected profit to the insurance company from selling this policy is $520.10.

(b) The expected profit of $520.10 represents the average profit that the insurance company can expect to earn from selling this type of policy to similar customers over time.

In the context of this problem, it means that if the insurance company sells many policies like this one, they can expect to make a profit of about $520.10 per policy, on average, after accounting for the small probability of the policyholder's death.

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The given equation is

To find the minimum of the function between x = 0 and x = 6, we have to graph.

Answer:

4(n-6)

Step-by-step explanation:

4(n-6)

n stands for number

quantity means you have to use parenthesis

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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To find the terminal point on the unit circle determined by - 13x/4 radians, we can use the unit circle and convert the given angle into Cartesian coordinates. For the function f(x) = x³ - 5x².

To find the terminal point on the unit circle determined by - 13x/4 radians, we can use the unit circle, which is a circle with a radius of 1 centered at the origin. By converting - 13x/4 radians to Cartesian coordinates, we can determine the point (x, y) on the unit circle.

For the function f(x) = x³ - 5x², we can calculate the net change by evaluating the function at the final value of x (x = 10) and subtracting the initial value of the function at x = 5. This gives us the difference in the function values.

The average rate of change of f(x) between x = 5 and x = 10 can be found by dividing the net change in the function values by the difference in x-values (10 - 5). This represents the average rate at which the function changes over the given interval.

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To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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There are 64 chocolate bars and 24 gummies in the bowl of candy.

Let's denote the number of chocolate bars as "x" and the number of gummies as "y".

According to the given ratio, the ratio of chocolate bars to gummies is 8:3, which can be expressed as:

x/y = 8/3

We also know that the total number of pieces of candy in the bowl is 88:

x + y = 88

To solve this system of equations, we can use substitution or elimination method. Here, we will use the substitution method:

From the first equation, we can isolate "x" in terms of "y" by multiplying both sides by "y":

x = (8/3)y

Substituting this expression for "x" in the second equation, we have:

(8/3)y + y = 88

Combining like terms:

(8/3 + 1)y = 88

(11/3)y = 88

To isolate "y", we can multiply both sides by the reciprocal of (11/3), which is (3/11):

y = (88 * 3) / 11

y = 264/11

y = 24

Substituting this value of "y" back into the second equation, we can find "x":

x + 24 = 88

x = 88 - 24

x = 64

Therefore, there are 64 chocolate bars and 24 gummies in the bowl of candy.

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