. prove: if a line containing a vertex of an isosceles triangle is parallel to the base of the triangle it bisects each exterior angle at the vertex.

The 95% confidence interval for the family sizes is given as follows:

(3.6, 7.4).

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 9 - 1 = 8 df, is t = 2.306.

Using a calculator, the mean and the standard deviation, along with the sample size, are given as follows:

\(\overline{x} = 5.5, s = 2.45, n = 9\)

The lower bound of the interval is given as follows:

5.5 - 2.306 x 2.45/sqrt(9) = 3.6.

The upper bound of the interval is given as follows:

5.5 + 2.306 x 2.45/sqrt(9) = 7.4.

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Answer: The area is 6.5

When you multiply or divide a number by 0 you will get 0 as the answer. Example: 34×0=0 and 34÷0=0.

The given decimal number is 8314.12.

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

2) In the given decimal number 8314.12,

8 is in thousands place, 3 is in hundreds place, 1 in tens place, 4 in ones place, after decimal 1 in tenths place and 2 in hundredths place.

3) When you multiply or divide a number by 1 you will get the same number.

Example: 34×1=34 and 34÷1=34

4) When you multiply or divide a number by 0 you will get 0 as the answer.

Example: 34×0=0 and 34÷0=0

5) 49÷7=7 because 7×7=49

60÷10=6 because 10×6=60

48÷12=4 because 12×4=48

63÷9=7 because 9×7=63

32÷4=8 because 4×8=32

Therefore, when you multiply or divide a number by 0 you will get 0 as the answer. Example: 34×0=0 and 34÷0=0.

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Answer:

Given

Addition

simplify

answer

Step-by-step explanation:

Answer:

1. Given

2.Addition

3. simplify

4. answer

Step-by-step explanation:

Expand the square. Remember that

(a - b)² = a² - 2ab + b²

With a = 5√3 and b = √27, we have

(5√3 - √27)² = (5√3)² - 2 (5√3) √27 + (√27)²

… = 25•3 - 10√81 + 27

… = 75 - 10√(9²) + 27

… = 102 - 10•9

… = 102 - 90

… = 12

The contribution margin ratio can be calculated by dividing the contribution margin by the sales. In this case, the contribution margin ratio for Kitsap Corporation is closest to a certain value.

The contribution margin ratio is calculated by dividing the contribution margin by the sales. In the given information, the contribution margin is stated as $72,000 and the sales as $180,000.

Contribution Margin Ratio = (Contribution Margin / Sales) * 100

Contribution Margin Ratio = ($72,000 / $180,000) * 100

Contribution Margin Ratio = 40%

Therefore, the contribution margin ratio for Kitsap Corporation is 40%. The contribution margin ratio represents the proportion of each dollar of sales that is available to cover fixed expenses and contribute to net operating income. In this case, for every dollar of sales, 40 cents contribute towards covering fixed expenses and generating net operating income. The higher the contribution margin ratio, the greater the portion of sales revenue available to cover fixed costs and generate profit.

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Answer:

v=18

Step-by-step explanation:

26=8+v

Swap sides:

8+v=26

Subtract 8 from both sides:

8+v-8=26-8

Group like terms:

v+8-8=26-8

Simplify the arithmetic:

v=26-8

v=18

Please find the attached photograph for your answer

Answer:

A ratio

Step-by-step explanation:

A quantitative relation between two amounts showing the number of times one value contains or is contained within the other

Answer:

I think it’s 7,920 feet

Step-by-step explanation:

I did 1.5 miles times the amount of feet ( 5,280 )

And got 7,920

The likelihood of rejecting the null hypothesis and the value for cohen's d a larger sample size increases the likelihood of rejecting the null hypothesis but does not change the value of Cohen's d.

b. A larger sample size increases the likelihood of rejecting the null hypothesis but does not change the value of Cohen's d.

When other factors are held constant, increasing the sample size generally leads to a more precise estimate of the population parameters.

This increased precision can result in a higher likelihood of rejecting the null hypothesis if the effect being studied is real and present in the population.

However, the value of Cohen's d, which is a measure of effect size, remains the same regardless of the sample size. Cohen's d is calculated based on the difference between group means and the standard deviation of the data.

Increasing the sample size does not affect the difference between group means or the standard deviation, so the value of Cohen's d remains constant.

In summary, a larger sample size increases the likelihood of rejecting the null hypothesis but does not change the value of Cohen's d.

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Answer:

x = 17

Step-by-step explanation:

The angles are same side interior angles and they will add to 180 when the lines are parallel

6x+8  + 4x+2 = 180

10x+10 = 180

Subtract 10 from each side

10x+10-10 =180-10

10x = 170

Divide by 10

10x/10 = 170/10

x = 17

Answer:

x = 17

Step-by-step explanation:

Theorem:

If two lines are cut by a transversal such that same-side interior angles are supplementary, then the lines are parallel.

For the lines to be parallel, the sum of 6x + 8 and 4x + 2 must equal 180.

6x + 8 + 4x + 2 = 180

10x + 10 = 180

10x = 170

x = 17

Logical Error: In computer programming language, a logic error is a bug or in a program or code that causes it to operate incorrectly, but not to terminate abnormally (or crash).

A logic error developed unintended or undesired output or other behavior, although it may not immediately be recognized as such.

For example, assigning a value to the wrong variable may cause a many of unexpected program errors.

These errors can be programmer mistakes or sometimes machine less memory to load the code.

if(x>=5) {

// program

}

else if(x==5) {

//program

}

else(x<=5) {

//program

}

they all do not give any error.

x=5 gave an error because it is value assigning to 5.

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Answer:4/3 or 1.33 lbs

Step-by-step explanation:

When single flower is selected at random, the probability of getting yellow or daisy is 73/108.

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

Total number of red roses = 8,

Number of white daisies = 10,

Number of yellow carnations = 6,

And number of yellow daisies = 12.

Total number of flowers = 36.

Number of yellow flowers,

Probability of getting yellow flower P(yellow) = 6/36 = 1/6

Total number of daisy flowers = 10 + 12 = 22

Probability of getting flower daisy P(daisy)  = (10 + 12)/36 = 22 / 36

The probability of getting flower yellow and daisy

P(yellow and daisy) = 1/6 x 22/ 36 = 11/ 108

P(yellow or daisy) = P()yellow) + P(daisy)- P(yellow and daisy)

                              = 1 /6 + 22 / 36  - 11 / 108

                              = (6 + 22)/36 - 11/108

                              = 28 / 36 - 11 / 108

                              = (84 - 11) / 108

                              = 73 / 108

The required probability of getting selected flower yellow or daisy is 73 / 108.

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The exact value of tangent of 11 times pi over 12 is  \(-2+\sqrt{3}\).

We have to find the exact value of \(tan\frac{11\pi}{12}\)

\(tan\frac{11\pi}{12}=tan\frac{6\pi+5\pi}{12}\)

\(tan\frac{11\pi}{12}=tan(\frac{6\pi}{12}+\frac{5\pi}{12})\)

\(=tan(\frac{\pi}{2}+\frac{5\pi}{12})\)

We have \(tan(\frac{\pi}{2}+x)=-cotx\)

\(tan\frac{11\pi}{12}=-cot(\frac{5\pi}{12})\)

\(tan\frac{11\pi}{12}=-cot(\frac{2\pi+3\pi}{12})\)

\(tan\frac{11\pi}{12}=-cot(\frac{\pi}{6}+\frac{\pi}{4})\)

We have identity \(cot(x+y)=\frac{cotxcoty-1}{coty+cotx}\)

\(tan(\frac{\pi}{2}+x)= -\frac{cot\frac{\pi}{6}cot\frac{\pi}{4}-1}{cot\frac{\pi}{4}+ cot\frac{\pi}{6}}\)

\(=\frac{-\sqrt{3}(1) - 1}{1+\sqrt{3}}\)

Rationalize the denominator and simplify, we get:

\(=-2+\sqrt{3}\)

Therefore, the exact value of  \(tan\frac{11\pi}{12}\) is \(-2+\sqrt{3}\).

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Complete question is:

Find the exact value of  \(tan\frac{11\pi}{12}\) ?

Here is an equation that could represent Ted's total September costs:

C = 3600 + 1.50x, where C is the total September cost and x is the number of 16-ounce bags of coffee sold.

This equation takes into account the monthly fixed costs of $3600, as well as the cost of the coffee that Ted sells at $1.50 per 16-ounce bag. If you know the number of bags of coffee that Ted sold in September, you can use this equation to calculate his total September costs. In general, cost refers to the amount of money that is required in order to obtain something. For example, the cost of a product or service is the amount of money that you need to pay in order to purchase or receive it. The cost of something can also refer to the resources that are required to obtain or produce it, such as time, effort, or materials.

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A 70% chance of rain means that there is a higher likelihood of rain occurring compared to other possible weather conditions, but it is not a guarantee.

When a forecaster says there is a 70% chance of rain, it means that, based on their analysis of various weather factors, they believe there is a 70% probability of rain occurring. This percentage represents the likelihood or chance of rain happening.

It's important to note that this is not a definitive prediction that it will rain. Weather forecasting is not an exact science, and there is always some level of uncertainty involved. The forecaster is indicating that, given the current conditions and their expertise, rain is more likely to happen than not.

To put it into perspective, if this weather scenario were repeated 100 times, it is expected that rain would occur in approximately 70 of those instances. The remaining 30 instances would not experience rain.

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The area of each parallelogram or triangle is 24 cm²,22.5 cm², 98 ft²,48 cm², 90 m², and  30 in² respectively.

In this skills practice problem, we are asked to find the perimeter and area of each parallelogram or triangle, based on their given dimensions. Let's start by defining the formulas for calculating the perimeter and area of each shape:

Perimeter of a parallelogram = 2 x (length + width)

Area of a parallelogram = base x height

Perimeter of a triangle = sum of the lengths of its sides

Area of a triangle = 1/2 x base x height

Now, let's apply these formulas to each shape:

Parallelogram with length 6 cm and width 4 cm:

Perimeter = 2 x (6 + 4) = 20 cm

Area = 6 x 4 = 24 cm²

Triangle with base 9 cm and height 5 cm:

Perimeter = 9 + 8 + 7 = 24 cm

Area = 1/2 x 9 x 5 = 22.5 cm²

Parallelogram with length 14 ft and width 7 ft:

Perimeter = 2 x (14 + 7) = 42 ft

Area = 14 x 7 = 98 ft²

Triangle with base 12 cm and height 8 cm:

Perimeter = 12 + 8 + 10 = 30 cm

Area = 1/2 x 12 x 8 = 48 cm²

Parallelogram with length 18 m and width 5 m:

Perimeter = 2 x (18 + 5) = 46 m

Area = 18 x 5 = 90 m²

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#SPJ11Triangle with base 6 in and height 10 in:

Perimeter = 6 + 8 + 10 = 24 in

Area = 1/2 x 6 x 10 = 30 in²

Therefore, we have calculated the perimeter and area of each given parallelogram or triangle.

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The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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Answer:

A = 18 cm²

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

where h is the perpendicular height between the bases b₁ and b₂

here h = 3 , b₁ = 8 , b₂ = 4 , then

A = \(\frac{1}{2}\) × 3 × (8 + 4) = 1.5 × 12 = 18 cm²

Given,

The data set;

75, 67, 83, 90, 79, 74, 70, 72, 72, 78, 76, 67, 66, 80, 77, 77, 84, 74

We have to find the mean, median and mode of the set.

Mean = (75 + 67 + 83 + 90 + 79 + 74 + 70 + 72 + 72 + 78 + 76 + 67 + 66 + 80 + 77 + 77 + 84 + 74) / 18

Mean = 1361/18 = 75.61

The data set is even, then median;

Median = (n/2 + n/2+1) / 2

Median = (18/2 + 18/2 + 1) / 2

Median = (9th term + 10th term)/2

Here,

9th term = 72

10th term = 78

So,

Median = (72 + 78) / 2 = 150/2 = 75

The mode in this data set is 67, 74, 72, 77

That is,

The mean of the data set is 75.61

The median of the data set is 75

The mode of the data set is 67, 74, 72, 77

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The least number of seats the manger could order to 270 seats

The information that the the seats are sold only in groups of 10 will help to know that the order will be in a multiple of 10.

The manager wants to order 267 seats and this is not a multiple of 10 the nearest multiple of 10 is 270.

This is because, 260 will be short of want the manager want however ordering for 270 will be in excess with three seats.

Hence the manager will order 270 and heave 3 extra seats

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We will get that the angle theta is:

θ = β/2

Remember that the sum of the interior angles of any triangle must be equal to 180°.

Now, looking at the triangle in the left, we can see that the top angle is equal to:

180 - 2α

The right angle is equal to:

180 - 2β

And the left angle is α

Then we can write:

α + (180 - 2α) + (180 - 2β) = 180

-α - 2β = -180

α = 180 - 2β

Now we can go to the other triangle, where theta is, and write:

α + β + 2θ = 180

Replacing what we found above, we get:

180 - 2β + β + 2θ = 180

-β + 2θ = 0

θ = β/2

That is the best simplification we can get with the given diagram.

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Mr. Fillbach will be able to have orange juice before having to buy more juice for 16 mornings.

The gallon is a unit of volume in imperial units and us a customary device. 3 one-of-a-kind variations are in modern use: the imperial gallon.

A clean manner to discern from liters to gallons, for an instance, is that a quart is a bit much less than a liter and 4 liters is a touch extra than 1 gallon. To be specific, 1 liter is 0.264 gallons (a bit greater than a quart), and four liters is 1.06 gallons. Q-I need to shop for a 35 mm. A gallon is equal to approximately 3.78541 liters. consequently, a gallon is larger than 3 liters.

Cups and liters each measure the extent of beverages, so whether or not you need to know how many cups are in a liter or water, oil or a bottle of soda, there will constantly be approximately four.3 cups in a liter! The liter is a metric measurement closest to the quart in imperial measurements.

Given,

Mr.Fillbach drinks 1 cup of orange juice every morning.

He bought a 1-gallon jug of orange juice.

Since there are 16 cups in 1 gallon.

Therefore, he is able to have orange juice before having to buy more juice = for 16 days

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The equation is  4^{3x} is equal to 8^{1/x} 2^{x+3} and the values of x are x is equal to (3+√69)/(10) or x is equal to (3-√69)/(10)

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \(\rm y = a^x\)

where 'a' is a constant and a>1

After following the rules to model the equation.

The equation becomes:

\(\rm 4^3^x= 8^{1/x}\times 2^{x+3}\)

After solving, we get:

\(2^{6x}= 2^{3/x \ +x+3}\)  (power rule)

Taking log on both sides with base 2

\(\rm log_2(2^{6x})= log_2(2^{3/x \ +x+3})\)

After solving, we will get a quadratic equation:

\(\rm 5x^2-3x-3 = 0\)

After using quadratic formula, we will get,

\(\rm x=\dfrac{3+\sqrt{69}}{10}\) or

\(\rm x=\dfrac{3-\sqrt{69}}{10}\)

Thus, the equation is  4^{3x} is equal to 8^{1/x} 2^{x+3} and the values of x are x is equal to (3+√69)/(10) or x is equal to (3-√69)/(10)

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