Of the 60 questions on a test, 24 are multiple choice. What
percent of the questions are multiple choice?

Answer:

4.5

Step-by-step explanation:

use altitude rule

8 / 6 = 6 / x

8x = 36

x = 36/8 or 9/2 or 4.5

To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:

Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
  Loan Amount = $300,000 - $75,000 = $225,000    

Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.

Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.

Use the PMT function in Excel to calculate the monthly principal + interest payment.
  Monthly Payment = -PMT(0.00229, 360, 225000)

The negative sign is used because the payment is an outgoing cash flow.

By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.

To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.

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a. The formula B = 703w/h^2 can be solved for w by rearranging the equation as w = B * h^2 / 703.
b. For a person who is 64 inches tall and has a body mass index of 21.45, the weight can be calculated by substituting the values into the formula w = B * h^2 / 703, where B is 21.45 and h is 64 inches.

a. To solve the formula B = 703w/h^2 for w, we can rearrange the equation to isolate w on one side of the equation. Multiply both sides of the equation by h^2, then divide both sides by 703. The resulting equation is w = B * h^2 / 703.
b. To find the weight of a person who is 64 inches tall and has a body mass index of 21.45, we can substitute the values into the formula w = B * h^2 / 703. In this case, B is 21.45 and h is 64 inches. Plugging these values into the equation, we get w = 21.45 * 64^2 / 703. Evaluating this expression will give us the weight in pounds.

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Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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At sunrise, shadows are longest and point towards the west as the sun rises in the east. Therefore, the correct order would be:

Longest shadows of the day, and they point to the west → shadows gradually become shorter → very short shadows or no shadows → shadows gradually become longer → longest shadows of the day, and they point to the east.

As the sun moves across the sky, shadows change in length and direction, reaching their shortest length at noon when the sun is directly overhead. After noon, the sun starts to move towards the west, and shadows gradually become longer until sunset when they are longest again, but this time pointing towards the east as the sun sets in the west.

Therefore, correct order of descriptions of shadows during the day, from sunrise to sunset, would be:

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See text below



How do shadows change during the day?

Drag and drop the descriptions of shadows to show the correct order, from sunrise to sunset.

longest shadows of the day, and they point to the west

longest shadows of the day, and they point to the east

shadows gradually become shorter

very short shadows or no shadows

shadows gradually become longer

The simplification of the given expression would be; 4.2h−1.9d−15

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We have been given the expression as

7h + (-5.9d)-15+4d-2.8h

WE need to simplify the given equation that would gives;

7h−5.9d−15+4d−2.8h

Add the terms;

7h−1.9d−15−2.8h

Solution;

4.2h−1.9d−15

Hence, the simplification of the given expression would be; 4.2h−1.9d−15

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2210 miles is 3537120 meters. To convert miles to meters, you must use the conversion factor of 1609.344 meters per mile.

To convert miles to meters, you must multiply the number of miles by 1609.344. This is because there are 1609.344 meters in one mile. To convert 2210 miles to meters, you must multiply 2210 by 1609.344. After doing so, you will find that 2210 miles is equal to 3537120 meters.

To convert miles to meters, you must use the conversion factor of 1609.344 meters per mile. This is because one mile is equal to 1609.344 meters. To find the number of meters in 2210 miles, you must first multiply 2210 by 1609.344. After doing this, you will find that 2210 miles is equal to 3537120 meters. This shows that 2210 miles is equal to 3537120 meters. This is a useful tool for those who need to convert between different units of measurement quickly and accurately.

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To rewrite the expression $3x^2 + 14x + 8$ in the form $(3x + a)(x + b)$, we need to find integers $a$ and $b$ such that the product of these two terms gives the original expression.

First, we need to find the factors of $3 \times 8 = 24$. The pairs of factors are: $(1, 24), (2, 12), (3, 8), (4, 6)$. We need a pair that has a sum of $14$ (the coefficient of the middle term). The pair $(2, 12)$ meets this requirement.

Now we can write the expression as:

$(3x^2 + 2x) + (12x + 8) = (3x + 2)(x + 4)$

So, $a = 2$ and $b = 4$. The value of $a - b$ is $2 - 4 = -2$.

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This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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Answer:

- 2x - 8

Step-by-step explanation:

\( - 7x + 4 - 5x - 12\)

Collect like terms

-7x - 5x +4 - 12

= -2x - 8

The given probability of having six girls in a six-child family is 0.015625. To determine the method used to compute this probability, we need to analyze the information provided.

The Classical method is based on theoretical assumptions and probabilities calculated using mathematical principles. It assumes equally likely outcomes and relies on counting favorable outcomes over the total number of possible outcomes.

The Empirical method involves gathering data from observations or experiments to estimate probabilities. It relies on observed frequencies and relative frequencies to compute probabilities. However, the given probability does not suggest a sample or data collection, making it unlikely that the Empirical method was used.

The Subjective method involves assigning probabilities based on personal judgment or opinions. Individuals subjectively evaluate the likelihood of an event based on their own beliefs or knowledge.

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a.)The probability of getting a sum which is a multiple of 3 = 1/3

b.)The probability of getting a sum which is a multiple of 4 = 1/4

To calculate the probability of the given event, the formula that should be used is given as follows;

Probability = possible event/sample space.

For a.)

sample space = 36

possible event = 12

probability = 12/36 = 1/3

For b.)

sample space = 36

possible event = 9

probability = 9/36 = 1/4

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Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

You can use the fact that the middle area can be found by subtracting internal area from the total area.
The amount of wood(in area, assuming almost flat) needed by the carpenter to build the frame is given by

Option A: 5.5π + 106 sq. inches.

The middle area can be found by subtracting internal area from the total area.
For example, if you've got a big circle, and a small circle inside that big circle, and you want the remaining area in the big circle not occupied by smaller circle, then we have

Remaining area = Area of bigger circle - Area of smaller circle

The diagram is attached below.

The wooden region between those two semicircles in the top is of this below area

Area of bigger semicircle - Area of smaller semicircle.

Since bigger semicircle has 6 inch radius and smaller has 1 inch less(since width of the wood is 1 inch everywhere) which is 5 inch radius, thus,

As area of semicircle with radius r units is \(\dfrac{\pi r^2}{2} \: \rm unit^2\)

Thus,

Area of wood between two semicircles = \(\pi \times 6^2/2 - \pi \times 5^2/2 = \pi \times 11/2 = 5.5\pi \rm \: \: inch^2\)

Area of the wood in the bottom of the window = area of rectangle GLMH

Since |GL| = |HM| = 1 inch and |LM| = 12 inches, thus, as

Area of rectangle = length times width

thus,

Area of GLMH = \(1 \times 12 = 12 \rm \: inch^2\)

Remaining wood is as rectangle ABGE and CDFH

Since we have |AL| = 48 inches but |GL| = 1 inch, thus, |AG| = 47 inches(1 less than |AL|

Also, since |GE| = 1 inch wide, thus,

Area ABGE = \(1 \times 47 = 47 \: \rm inch^2\)

Similar to above case, we have

Since we have |DM| = 48 inches but |HM| = 1 inch, thus, |DH| = 47 inches(1 less than |DM|

Also, since |FH| = 1 inch wide, thus,

Area CDFH = \(1 \times 47 = 47 \: \rm inch^2\)

Thus, total wood used(in terms of area) = Area CDFG + Area ABCD + Area of bottom rectangle GLHM + Area of the internal of two semicircles on top ADCB(thick arc like shape)

or

Total area of wood = 47 + 47 + 12 + 5.5π = 5.5π + 106 sq. inches.

Thus,

The amount of wood(in area, assuming almost flat) needed by the carpenter to build the frame is given by

Option A: 5.5π + 106 sq. inches.

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The area of a desk pad eight yards wide and 4/5 yards long is given as follows:

A = 0.3 yd².

Considering a rectangle of length l and width w, we have that:

The dimensions for this problem are given as follows:

Hence the area is given as follows:

A = 0.375 x 0.8

A = 0.3 yd².

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Answer:

31 and 37

Step-by-step explanation:

Those are the only two numbers

Answer:

The two numbers between 30 and 40 which have only 2 factors are -

31 and 37

Hope it helps you.

Answer:

May be only relation 3 is the function.

Answer:

A

Step-by-step explanation:

Answer:

4 < n < 130.

Step-by-step explanation:

n is a positive integer

n^100 > 2^200

2^2*100 = 2^200

4 ^100 = 2^200

So n > 4

(130n)^50 > n^100

130^50 * n^50 > n^100

130^50 > n^50

130 >n

so n < 130.

Answer:

14400 words

Step-by-step explanation:

1 hour = 60 minutes

2 hours

= 2 x 60

= 120 minutes

Let the no. of words that he can type in 2 hours is " x ".

1800 : 15 : : x : 120

1800 / 15 = x / 120

1800 * 120 = 15 * x

x = 1800 * 120 / 15

= 120 * 120

x = 14400 words

Therefore,

He can type 14400 words in 2 hours.

Answer:

6x + 12y

Step-by-step explanation:

Using distributive property means multiplying the number outside of the parentheses to each individual number within the parentheses:

3 × 2x = 6x

3 × 4y = 12y

Since there is an addition sign within the parentheses, we add these two numbers together. However, they are not like terms so their sum cannot actually be calculated

6x + 12y

Answer:

No.

Step-by-step explanation:

It is not possible to make a triangle that has the angles measuring 60 degrees, 30 degrees and 45 degrees because the angles of a triangle have to add up to 180 degrees. 30+45+60=135

Therefore, these angles would not measure up to 180 degrees. It is not possible to make a triangle that has these angles. These angles measure up to 135 degrees not 180 degrees.

Howdy! My name is Christian and I’ll try and help you with this question!

Date: 9/29/20 Time:  8:47 am CST

Answer:

C) No; an input matches to more than one output

Explanation:

If the input goes to more than 1 output then it is NOT a function.

Hope this helps you with your question!

Sincerely,

Christian

The best way to solve this problem is to imagine the situation as follows: Suppose that each position (first, second and third) is a numbered box. (first is box number one, and so on).

Now, imagine that each student is a ball that is numbered from 1 up to 11.

The situation translates to calculate in how many different ways we can put a ball in each box, without putting 2 balls in each box. We have the following

To solve this, we will use the multiplication principle. This principle relays on multiplying the number of possibilites for each box. Consider the case in which we will fill the box number 1. We can choose any of the numbers, so we have 11 posibilites. Now, suppose that we chose one number for box 1, and now we want to fill box 2. Then, we will have 10 possibilites only, since we already picked one. In the same manner, to fill the third box we have 9 possibilities. So the total number of possibilites is the product of this three numbers. That is

From the Venn diagram , the value of  required probability P(A∪B) is given by :

Option a). 0.6 . The probability that students  takes both Spanish and Chemistry.

Let us consider 'A' be the probability of the students who takes Chemistry.

And 'B' be the probability of the students who takes Spanish.

From the Venn diagram we have,

Probability of A 'P(A) ' = 0.2 + 0.1

                                    = 0.3

Probability of B 'P(B)' = 0.3 + 0.1

                                   = 0.4

Probability of A∩B 'P(A∩B)' = 0.1

Probability of A∪B is given by :

P(A∪B) = P(A) + P(B) - P(A∩B)

Substitute the value we get ,

⇒ P(A∪B) = 0.3 + 0.4 - 0.1

⇒ P(A∪B) =  0.6

P(A∪B) represents the probability of the students that takes both Chemistry and Spanish.

Therefore, the value and explanation of P(A∪B)  is equal to :

Option a). 0.6 , the probability of the students that takes both Chemistry and Spanish.

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The above question is incomplete , the complete question is:

The - Venn diagram below describes the probability of students who will take Chemistry and Spanish at Jefferson High School next year, where A Student takes chemistry and B Students takes Spanish. Suppose one student is chosen at random Use the attached Venn diagram .

Find the value of P(A∪B) and describe in words.

a.) 0.6; The probability that the student takes both chemistry and Spanish.

b.) 0.1; The probability that the student takes both chemistry and Spanish.

c.) 0.1; The probability that the student takes either chemistry or Spanish; but not both.

d.)0.6; The probability that the student takes either chemistry or Spanish, or both.

Venn diagram is attached.

The correct answer is option 4 that is the method used to calculate the confidence interval is correct 95% of the time.

The 95% confidence interval for the mean selling price of a house in a given neighborhood is estimated to be between 200,000 and 220,000. This means that:

We are 95% confident that the true mean selling price is between 200,000 and 220,000.

It is possible that the true mean selling price is 210,000, but this is not certain. If we were to repeat the study multiple times and calculate a confidence interval for the mean selling price each time, we would expect 95% of the intervals to include the true mean selling price. The method used to calculate the confidence interval is correct 95% of the time, meaning that the interval will include the population mean 95% of the time.

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Answer:

23/20

Step-by-step explanation:

110% of 20 is 22/20, so 23/20 is more.

Step-by-step explanation:

23/20 = 1,15

110% = 1,1

1,15 > 1,1

⇒ 23/20 > 110%

The direction of the biker's ride from her starting point to the finish, to the nearest degree, is approximately 41 degrees east of north.

To determine the direction of the biker's ride from her starting point to the finish, we can use trigonometry and vector addition.

The biker rides 5 miles at a bearing of N E, which means she is traveling in the direction of 45 degrees east of north. This can be represented by a vector with a magnitude of 5 miles and an angle of 45 degrees.

Next, the biker bikes 1 mile due east, which can be represented by a vector with a magnitude of 1 mile and an angle of 90 degrees.

To find the resultant vector, which represents the direction from the starting point to the finish, we can add these two vectors together.

Using trigonometry, we can break down the vectors into their horizontal and vertical components. The 5-mile vector at a bearing of N E can be split into 5cos(45°) in the horizontal direction and 5sin(45°) in the vertical direction. The 1-mile vector due east only has a horizontal component of 1.

Adding the horizontal components: 5cos(45°) + 1 = 4.07

Adding the vertical components: 5sin(45°) + 0 = 3.54

Now, we can find the angle of the resultant vector using the arctangent function:

tan^(-1)(3.54 / 4.07) ≈ 41.37°

Therefore, the direction of the biker's ride from her starting point to the finish, to the nearest degree, is approximately 41 degrees east of north.

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To construct a relative frequency histogram, divide the range of values of the data into intervals or classes of equal length and count the number of frequency in each interval.

Calculate the sample mean y as an estimate of m, the mean number of timber trees with diameter exceeding 12 inches for all 50 3 50 squares in the tract. . The calculation is shown below:

Therefore, the sample mean $\bar{y}$ is 8.93.c. Calculate s for the data. Construct the intervals 1y 6 s2, 1y 6 2s2, and 1y 6 3s2 . Count the percentages of squares. To calculate the sample standard deviation s, we shall use the formula for the sample variance. The calculation is shown below:

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