What is the length of EF?

The length which result in a ratio closest to the golden ratio is equal to  7.5 inches and 4.5 inches. Option C is correct.

The line segment is made with two end points. Length of a line segment is the distance of both the ends of it.

A 12 inch line segment is divided into two parts. Suppose the line segment is AC which is divided into AB and BC parts. Thus,

AB+BC=AC

AB+BC=12                   ....1

The value of golden ratio is equal to 1.618. It can also be given as (1+√5)/2. The ratio of both segment is equal to golden ratio. Thus

\(\dfrac{AB}{BC}=\dfrac{AC}{AB}=\dfrac{1+\sqrt{5}}{2}\\\dfrac{12}{AB}=1.618\\AB=7.4166 \rm\; in\)

Put this value in equation one as,

AB+7.4166=12    

AB=4.5834

The length which result in a ratio closest to the golden ratio is equal to  7.5 inches and 4.5 inches. Option C is correct.

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Answer:

You are 110 feet under the sea and then you rise 120 feet.  How many feet are you now above the sea lever?  10.

Step-by-step explanation:

The given statement is False. A test statistic based on point estimation is not used to construct the decision rule which defines the rejection region.

In hypothesis testing, a test statistic is calculated using sample data and a specific hypothesis to assess the strength of evidence against the null hypothesis. The decision rule, which determines whether to reject or fail to reject the null hypothesis, is based on the test statistic's distribution under the null hypothesis, rather than the point estimate itself.

The construction of the decision rule involves selecting a significance level (alpha), which represents the probability of rejecting the null hypothesis when it is actually true. The rejection region is determined based on the chosen significance level and the distribution of the test statistic. If the calculated test statistic falls within the rejection region, the null hypothesis is rejected; otherwise, it is not rejected.

Point estimation, on the other hand, is used to estimate an unknown parameter of interest, such as the population mean or proportion, based on sample data. It involves calculating a single value (point estimate) that represents the best guess for the parameter value. The point estimate is not directly involved in constructing the decision rule or defining the rejection region in hypothesis testing.

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False. A test statistic based on point estimation is not used to construct the decision rule that defines the rejection region.

The process of hypothesis testing involves constructing a decision rule to determine whether to accept or reject a null hypothesis based on sample data. The decision rule is typically defined using a critical region or rejection region, which is a range of values for the test statistic.

Point estimation, on the other hand, is a method used to estimate an unknown population parameter based on sample data. It involves calculating a single value (point estimate) that serves as an estimate of the population parameter.

While point estimation and hypothesis testing are both important concepts in statistics, they serve different purposes. Point estimation is used to estimate population parameters, whereas hypothesis testing involves making decisions based on sample data.

The decision rule for hypothesis testing is typically constructed based on the significance level (alpha) and the distribution of the test statistic, such as the t-distribution or the standard normal distribution. The test statistic is calculated using sample data and compared to critical values or calculated p-values to determine whether to reject the null hypothesis.

Therefore, the statement that a test statistic based on point estimation is used to construct the decision rule defining the rejection region is false.

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The measure of angle 1 is 67.4°. The measure of angle 2 is 104.5°.

An angle is the measure of the amount of rotation between two lines or two planes that meet at a point. It is typically measured in degrees or radians. An angle can be acute, meaning it is less than 90 degrees, right, meaning it is exactly 90 degrees, obtuse, meaning it is greater than 90 degrees but less than 180 degrees, or straight, meaning it is exactly 180 degrees. An angle can also be positive or negative, depending on the direction of rotation between the lines or planes. Angles are used in various fields such as mathematics, engineering, physics, and geometry.

Here,

180-121.8=58.2°

180-(58.2+17.3)=104.5°

180-104.5=75.5°

180-(75.5+37.1)=67.4°

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Answer:

I can see black screen no photo for answering.

Parameter 1 corresponds to the cosine function because it has a period of 2, an amplitude of 1, and contains the point (1).

Parameter 2 corresponds to the sine function because it has a period of 2π/2=π, an amplitude of 1, and contains the point (2,-1).

Parameter 1 corresponds to the cosine function because it has a period of 2, an amplitude of 1, and contains the point (1). The equation for a cosine function is:

f(x) = A*cos (Bx) + C

where A is the amplitude, B (2π/period) is the frequency , and C (the average value of the function) is the midline.

A= 1, B = π, and C = 0.

Hence, equation for this function is f(x) = cos (πx)

This function has a period of 2, an amplitude of 1, and contains the point (1).

Parameter 2 corresponds to the sine function because it has a period of 2π/2=π, an amplitude of 1, and contains the point (2,-1).

g(x) = A* sin (Bx) + C (sine function)

where A is the amplitude, B (2π/period) is the frequency , and C (the average value of the function) is the midline

A= 1, B = 2π/2 = π, and C = -1.

g(x) = sin (πx) - 1

This function has a period of 2, an amplitude of 1, and contains the point (2, -1).

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Answer:12

Step-by-step explanation:but you cant divide by nothing

The biconditional statement is a polygon has four sides if and only if it is a quadrilateral. Option C

A biconditional statement is defined as a statement that combines both an converse and conditional statement.

It is written in the "if and only if" from.

It is a statement that states a condition depends on another being and vice versa.

From the statement given;

"if a polygon has four sides, then it is a quadrilateral

The biconditional statement is ;

Polygon has four sides if and only if it is a quadrilateral.

Thus, the biconditional statement is a polygon has four sides if and only if it is a quadrilateral. Option C

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The stretch of an exponential decay function is y = 2(1/5)ˣ

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

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

As variability shows the degree to which a particular score (or set of scores) accurately captures the distribution as a whole, it plays a significant role in sampling.

The sampling variability is the degree to which estimates vary among samples. The range is another word for "variability," and it describes how different samples have different ranges of results.

A sampling error is a phrase that's similar to, almost a synonym for, an error. An error in sampling is a measurement of how far a value deviates from its "true" value rather than an error itself. The various inaccuracies are a reflection of the sampling variability or variation between your samples.

The variability of samples fluctuates as sample sizes are raised or lowered. The sample size that will provide you with reliable estimates of the sample mean, variance, and other statistics is not the "ideal" sample size. Instead, you use your best estimation, which is based on accepted statistical practices.

Estimates will typically vary from sample to sample and are unlikely to ever completely match the population parameter.

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Answer:

The distance between the two is 5.099 or rounded to 5.1 units.

Step-by-step explanation:

Answer: 70

Step-by-step explanation: 21+21+14+14

Answer:

C

Step-by-step explanation:

Is is a one-tailed test

P(z < 2.45) = 0.9929

1 - 0.9929 = 0.0071

Significant at both 0.05 and 0.01 because both are greater than 0.0071

Answer:

The finding is significant at both α = 0.05 and α = 0.01.

The theoretical probability of drawing a blue marble from a jar containing 21 brown and 19 blue marbles is 19/40, or 0.475.

To calculate this, divide the number of blue marbles by the total number of marbles in the jar. 19 divided by 40 equals 0.475, or 19/40. This means that there is a 47.5% chance of drawing a blue marble from the jar.

The probability of drawing a specific marble from the jar can be expressed using the formula P(A) = n(A)/n(T).

In this example, the probability P(A) is the chance of drawing a blue marble, n(A) is the number of blue marbles (19) and n(T) is the total number of marbles in the jar (40). Therefore, P(A) = 19/40 = 0.475.

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Answer:

corresponding angle

exterior alternate angle

adjacent angle

vertically opposite angle

vertically opposite angle

......

adjacent angle

We need to determine the equilibrium price and quantity by setting the supply function equal to the demand function.

Given the supply function p = 0.2x + 9 and the demand function p = 173.4/2 + 11, we can set them equal to each other to find the equilibrium price:

0.2x + 9 = 173.4/2 + 11

Simplifying the equation, we have:

0.2x = 173.4/2 + 11 - 9

0.2x = 92.7

x = 92.7/0.2

x = 463.5

Substituting the value of x back into either the supply or demand function, we find the equilibrium price:

p = 0.2(463.5) + 9 = 93

The equilibrium price is $93, and the equilibrium quantity is 463.5 units.

To calculate the producer's surplus, we need to find the area between the supply curve and the equilibrium price line up to the equilibrium quantity. This area represents the additional revenue earned by producers above their minimum supply price. Since the supply function is linear, the producer's surplus is given by the formula:

Producer's Surplus = (1/2) * (Equilibrium Quantity) * (Equilibrium Price - Minimum Supply Price)

Using the equilibrium price of $93, the minimum supply price of $9, and the equilibrium quantity of 463.5 units, we can calculate the producer's surplus:

Producer's Surplus = (1/2) * 463.5 * (93 - 9) = 20238.75

Therefore, the producer's surplus at the market equilibrium point is $20,238.75.

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After deducting the amounts for Federal tax, Social Security, and other deductions, the net pay for working 40 hours at an hourly wage of $8.95 is $276.61. Option A.

To calculate the net pay, we need to subtract the deductions from the gross pay.

Given:

Hours worked = 40

Hourly wage = $8.95

Federal tax deduction = $35.24

Social Security deduction = $24.82

Other deductions = $21.33

First, let's calculate the gross pay:

Gross pay = Hours worked * Hourly wage

Gross pay = 40 * $8.95

Gross pay = $358

Next, let's calculate the total deductions:

Total deductions = Federal tax + Social Security + Other deductions

Total deductions = $35.24 + $24.82 + $21.33

Total deductions = $81.39

Finally, let's calculate the net pay:

Net pay = Gross pay - Total deductions

Net pay = $358 - $81.39

Net pay = $276.61

Therefore, the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33 is $276.61. SO Option A is correct.

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Note the correct and the complete question is

What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?

A.) $276.61

B.) $326.25

C.) $358.00

D.) $368.91

Let's say the sides of the rectangle are represented by integers a and b. The area of the rectangle is a * b, and the perimeter is 2 * (a + b).

To make a * b equal to 2 * (a + b), we must determine the values of a and b. The equation is rearranged to give us: a * b - 2 * a - 2 * b = 0.

Adding 4 to both sides, we can factorize the left-hand side of the equation using the distributive property: we need to find pairs of integers whose difference is 4. These pairs are:

a - 2 = 4 and b - 2 = 1, which gives a = 6 and b = 3

a - 2 = 2 and b - 2 = 2, which gives a = 4 and b = 4

a - 2 = 1 and b - 2 = 4, which gives a = 3 and b = 6

So the sides of the rectangle could be 6 and 3, 4 and 4, or 3 and 6.

Now we need to find pairs of integers whose difference is 4. These pairs are:

a - 2 = 4 and b - 2 = 1, which gives a = 6 and b = 3

a - 2 = 2 and b - 2 = 2, which gives a = 4 and b = 4

a - 2 = 1 and b - 2 = 4, which gives a = 3 and b = 6

So the sides of the rectangle could be 6 and 3, 4 and 4, or 3 and 6

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Stephanie did Step 3 wrong as instead of adding 10, she subtracted it.

We are given that Stephanie attempted to solve the equation 5 − 3 k = 2 ( k − 5 ).

5 - 3 k = 2 ( k - 5)

5 - 3 k = 2 k - 10

5 = 2 k + 3 k - 10

5 = 5 k - 10

5 + 10 = 5 k

15 = 5 k

15 / 5 = k

3 = k

We can see that she did Step 3 wrong as instead of adding 10, she subtracted it.

Therefore, she did Step 3 wrong as instead of adding 10, she subtracted it.

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Answer:

2.5(2-(-6))

Step-by-step explanation:

first of all,

the difference between 2 and -6 is

2-(-6)

then product of 2.5 with this difference is

2.5× (2-(-6)=

2.5(2-(-6))

Answer:

just move the decimal a 107 times and add 0's

Step-by-step explanation:

Answer:

17=w

Step-by-step explanation:

decompose the brackets

24-2w=2w-34-10

collect like terms

24+34+10=2w+2w

68=4w

divide by 4

17=w

Answer:

-2/9

Step-by-step explanation:

a. Operating cash flow = $24,840.

b. Cash flow to creditors = $15,370.

c. Cash flow to stockholders = $25,670.

d. Addition to net working capital = -$5,430.

a. To calculate the operating cash flow, we need to start with the net income and make adjustments for non-cash expenses. Net income is calculated by subtracting all expenses from the sales revenue. In this case, the net income is $153,000 - $81,900 - $5,200 - $10,900 - $8,400 - $16,330 = $30,270.

To calculate the operating cash flow, we add back the depreciation expense ($10,900) and subtract the taxes paid ($16,330). Therefore, the operating cash flow is $30,270 + $10,900 - $16,330 = $24,840.

b. The cash flow to creditors is calculated by subtracting the interest expense ($8,400) from the net income and then adding the net new borrowing. In this case, the net new borrowing is calculated as the difference between new equity issued ($2,600) and long-term debt redeemed ($3,900). Therefore, the net new borrowing is -$3,900 - $2,600 = -$6,500.

The cash flow to creditors is $30,270 - $8,400 + (-$6,500) = $15,370.

c. The cash flow to stockholders is calculated by subtracting the dividends paid ($7,200) from the net income and then adding the net new equity issuance. In this case, the net new equity issuance is $2,600.

The cash flow to stockholders is $30,270 - $7,200 + $2,600 = $25,670.

d. The addition to net working capital (NWC) can be calculated by subtracting the change in net fixed assets ($20,800) from the cash flow to creditors ($15,370).

The addition to NWC is $15,370 - $20,800 = -$5,430.

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9514 1404 393

Answer:

Step-by-step explanation:

The system of equations can be written ...

  n + d = 20 . . . . . . . . coins in the jar

  5n +10d = 130 . . . . . value in cents

_____

Using the first equation, we can write an expression for n:

  n = 20 -d

We can substitute this into the second equation:

  5(20 -d) +10d = 130

  100 +5d = 130 . . . . . . simplify

  5d = 30 . . . . . . . . . . . . subtract 100

  d = 6 . . . . . . . . . . . . divide by 5

  n = 20-d = 14

The jar contains 14 nickels and 6 dimes.

Answer:

4

Step-by-step explanation:

Calculation of the discriminant of the polynomial : x⋅2−4⋅x+5

1. Applying the formula to calculate the discriminant Δ=b2−4⋅a⋅c with : a=0, b=−2,c=5

2. Δ=(−2)2−4⋅(0)⋅(5)=4=4

3. The discriminant of the polynomial x⋅2−4⋅x+5 is equal to 4

Answer:

2 1/4 is the answer

Step-by-step explanation:

4 2/4÷2= 2 1/4

Answer:

2 1/4

Step-by-step explanation:

Set up a table with the labels flour and cookies on the flour side have 4 1/2 on the cookies side have 48 then in another row 24. Divide 24 by 48 to find out what to multiply 4 1/2 by to get the answer.48 divided by 24 is .5 so you would multiply 4 1/2 by .5 to get 2 1/4

Answer:

Fraction: 9/16

Decimal: 0.563