What is the length of AC?
B
7.5
10
A
6.5
D
C

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Answer:

50²-30²=x²

2500-900=1600

√1600= 40

x=40

How likely something is to occur is known as its probability.Probability when die rolled 1st time is 6C1 i.e. (1,2,3,4,5,6).

How likely something is to occur is known as its probability.We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. Statistics describes the examination of events subject to probability.

Probability when die rolled 1st time=6C1 i.e. (1,2,3,4,5,6) suppose 1 comes, then 2nd time it should not be .as it is given that no 2 people will roll same number.

so 2nd time probability=5C1 i.e. (2,3,4,5,6). same way 3rd and 4th time probability=4C1 and 3C1 respectively.Probability that no one rolls the same no. = 6*5*4*3and total possibility =6^4 

p(same number)= 6*5*4*3/ 6^4

= 5/18

p(no same number will roll)=1-5/18

=13/18

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Answer = 33.75%

Step-by-step explanation: It might be intuitive to think of percentages as a part of 100. If only 75 percent of 100 applicants are accepted. Then 75 people are accepted. We now need to find 45 percent of 75 people. In order to do this we need to convert 45 percent into its decimal form and multiply it by 75.

.45*75 = 33.75 of the original 100 Applicants have enrolled.

Sale Price = $36.4

Step-by-step explanation:

Sale Price = $36.4 (answer). This means the cost of the item to you is $36.4. You will pay $36.4 for a item with original price of $45.50 when discounted 20%. In this example, if you buy an item at $45.50 with 20% discount, you will pay 45.50 - 9.1 = 36.4 dollars.

Answer:

i think it might be C

Step-by-step explanation:

very sorry if it's wrong

Answer:

14x+10

Step-by-step explanation:

The product means multiplication

Answer:

D 14x+10

Step-by-step explanation:

Based on the given information, we know that the arrival rate is 9 customers per hour and the service rate is 14 customers per hour. Since the arrival and service distributions are not known, we cannot use the m/m/1 formulas to calculate the average waiting time and total time spent in the system.

However, we can still use the Little's Law formula to relate the average number of customers in the system to the average waiting time. Little's Law states that the average number of customers in the system (N) is equal to the product of the arrival rate (λ) and the average time spent in the system (T), or N = λT.

Since we want to find the total time spent in the system, we can rearrange the formula to solve for T. Thus, T = N / λ.

We know from the given information that the average waiting time in the line is 18 minutes. Therefore, the average time spent in the system for a customer is T = 18 minutes + (1/14 hour), which is equal to 1.9 hours.

To calculate the total time spent in the system, we need to add the waiting time to the service time. Since the service rate is 14 customers per hour, the service time per customer is 1/14 hour or approximately 4.3 minutes. Thus, the total time spent in the system is approximately 22.3 minutes or 0.37 hours.

In summary, the average time spent in the system for a customer is 1.9 hours, and the total time spent in the system is approximately 22.3 minutes or 0.37 hours.

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Answer:

commission

Step-by-step explanation:

the worker is paid primarily through a percentage of their sales total for the commission than a salary or an hourly wage.

so is commission.

-6x-1=23

=> -6x=1+23

=> -6x=24

=> x= 24/-6

=> x= -4

Hope it helps!

Step-by-step explanation:

Hey there!

Given;

\( - 6x - 1 = 23\)

~ Shift "-1" on right side.

\( - 6x = 23 + 1\)

\( - 6x = 24\)

~Divide 24 by -6.

\(x = \frac{24}{ - 6} \)

Therefore, x= -4.

Hope it helps...

Answer:

It’s a triangle.

If the triangular pyramid is sliced in any direction then the two-dimensional shape will be triangular. Then the correct option is B.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The triangular pyramid is shown.

If a plane slice horizontally through this pyramid then the two-dimensional shape could be created will be

If the triangular pyramid is sliced in any direction. The obtain two-dimensional shape will be triangular.

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The two expressions are equivalent.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

2x + 4 - 1 can be represented as 2x + 3

3 + x + x  can be represented as 3 + 2x

The two expressions are equivalent.

At x = 6

2x + 3    and     3 + 2x

2(6) + 3   and    3 + 2(6)

12 + 3     and     3 + 12

   15        and       15

Both are equal.

At x = 2

2x + 3    and     3 + 2x

2(2) + 3   and    3 + 2(2)

 4 + 3     and      3 + 4

    7        and        7

Both are equal.

Thus the two expressions are equivalent.

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Answer:

if both expressions have the same value after submitting and simplifying for x = 6 and x = 2, then they are equivalent. Substitute 6 for each variable, 6 for each variable, x, in both expressions. The value on both expressions is 15. Now, substitute 2 for each variable, x, in both expressions. The value of both expressions is 7. Therefore, the expressions are equivalent.

Step-by-step explanation:

Sample response. Wait, have you smiled today? its very important:)

The correct values of x and y for FGHJ to be a parallelogram are x=11 and y=25.

Regarding the parallelograms:

True or False – ∠D≅∠G: True. In parallelograms, opposite angles are congruent, so ∠D and ∠G are congruent.

True or False – AD¯¯¯¯¯¯¯¯≅BC¯¯¯¯¯¯¯¯: False. In parallelograms, opposite sides are congruent, so AD¯¯¯¯¯¯¯¯ is not necessarily congruent to BC¯¯¯¯¯¯¯¯.

True or False – ∠A≅∠G: False. ∠A and ∠G are not necessarily congruent in parallelograms.

True or False – ∠B≅∠F: False. ∠B and ∠F are not necessarily congruent in parallelograms.

Regarding the window FGHJ:

To determine the values of x and y for FGHJ to be a parallelogram, we need opposite sides to be parallel and congruent.

Looking at the given options:

x=11, y=21: Not a parallelogram, as opposite sides are not parallel and congruent.

x=12, y=25: Not a parallelogram, as opposite sides are not parallel and congruent.

x=11, y=25: A possible parallelogram, as opposite sides FG and HJ are parallel and congruent.

x=12, y=21: Not a parallelogram, as opposite sides are not parallel and congruent.

Therefore, the correct values of x and y for FGHJ to be a parallelogram are x=11 and y=25.

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Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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There are 26 degrees of freedom.

In statistics, degrees of freedom refers to the number of values in a sample that is free to vary after a statistic has been calculated. In a paired T-test, the degrees of freedom are calculated by subtracting 1 from the number of pairs in the sample. In this case, the experimental design for the paired T-test has 27 pairs of identical twins. Therefore, the number of pairs in the sample is 27.

To calculate the degrees of freedom, we subtract 1 from 27, which gives us 26 degrees of freedom. The degrees of freedom are important because they determine the critical value of the T-test, which is used to determine whether the difference between two means is statistically significant. The higher the degrees of freedom, the lower the critical value, which means that it is easier to detect a statistically significant difference between the two means.

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Answer:

12

Step-by-step explanation:

12 is the right answeerrrrrrreedd

In other words, the system has infinitely many solutions, parameterized by the values of the free variables a and b.

The final step of the Gauss-Jordan elimination can be interpreted as the following system of equations:

x1 - 2x2 + 21x3 = 0

x4 + x5 = 1

x6 - 2x7 = 0

x8 + x9 = 1

From the second and fourth equations, we can conclude that x4 and x8 are free variables, which means they can take on any value. Let's set them to be a and b, respectively.

Then, using the first and third equations, we can solve for x2, x3, x5, and x7 in terms of a and b:

x2 = (21/2)a - (1/2)b

x3 = a/2 - (21/4)b

x5 = 1 - a

x7 = b/2

Finally, substituting these values into the remaining equations, we can solve for x1 and x6:

x1 = 2x2 - 21x3 = -19a + (209/4)b

x6 = 2x7 = b

Therefore, the solution to the system of equations is:

x1 = -19a + (209/4)b

x2 = (21/2)a - (1/2)b

x3 = a/2 - (21/4)b

x4 = a

x5 = 1 - a

x6 = b

x7 = b/2

x8 = a

x9 = 1 - a

In other words, the system has infinitely many solutions, parameterized by the values of the free variables a and b.

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Answer:

40

Step-by-step explanation:

The formula is: a² + b² = c²

Looking at the picture, 41 is the hypotenuse of the triangle. We can now solve.

9² + b² = 41²

Which the answer is 40.

The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

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Answer:

Below.

Step-by-step explanation:

1 / secA+tanA =  1 / [1/cosA+sinA/cosA))]

= 1/ [(1 + sinA)/cosA]

= cosA/(1+sinA)

Now check if this is identical to 1-sinA/cosA:

1-sinA/cosA = cosA/(1+sinA)

Cross multiply:

(1-sinA)(1+sinA) = cos^2A

1 - sin^2A = cos^2A

sin^2A + cos^2A = 1  

This is a known idenity.

So the original identity is true.

Answer:

We have parallel lines intersected by a transversal.

Corresponding angles are congruent:

5q + 3 = 3q + 11

2q = 8, so q = 4

Alternate interior angles are congruent:

3r - 4 = 6r - 19

3r = 15, so r = 5

Consecutive interior angles are supplementary:

4s + s + 90 = 180

5s = 90, so s = 18

Supplementary angles:

2t + 20 = 4t + 10

2t = 10, so t = 5

John will walk 1,333.33 meters home from school.

Percentage is a mathematical concept used to express a number as a fraction of 100. It is generally used to compare one number to another, in terms of its relative size. For example, if 30 out of 100 people have voted for a certain candidate, then the percentage of those who voted for that candidate is 30%.

Percentage can also be used to express a change in a value over time.

For instance, if the price of a product has increased from $10 to $15, then the percentage increase in the price is 50%.

Percentage can also be used to compare different groups of data. For instance, if an organization has ten male employees and five female employees, then the percentage of male employees is 66.67%.

Percentage is an important concept in the field of mathematics and is used to calculate the percentage of a whole or part of a whole.

To find the total distance John will walk home from school, you need to multiply 200 meters, which is the distance he has already walked, by 100%, which is the total amount of the journey home from school, and then divide that answer by 15%, which is the percentage of the journey he has already walked.

200 x 100/15 = 1,333.33

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The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.

To find the area below z=1.04 for an Upper N(0,1) density, you will need to use the standard normal distribution table or a calculator with a z-table function. Here are the steps:

1. Locate the value of z=1.04 in the table or use the calculator's function.
2. Find the corresponding area value (which represents the probability or percentage of values below z=1.04).

The area below z=1.04 is approximately 0.851, rounded to three decimal places.

(b) To find the area above z=-1.4 for an Upper N(0,1) density, follow these steps:

1. Locate the value of z=-1.4 in the table or use the calculator's function.
2. Find the corresponding area value.
3. Since we need the area above z=-1.4, subtract the area value found in step 2 from 1.

The area above z=-1.4 is approximately 1 - 0.0808 = 0.919, rounded to three decimal places.

(c) To find the area between z=1.1 and z=2.1 for an Upper N(0,1) density, follow these steps:

1. Locate the values of z=1.1 and z=2.1 in the table or use the calculator's function.
2. Find the corresponding area values for both z=1.1 and z=2.1.
3. Subtract the area value of z=1.1 from the area value of z=2.1 to find the area between them.

The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.

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Answer: anwser is negative 6

Step-by-step explanation:

i hope you get i had it too and got it right if its not they are giving diffrent anwser then

Answer:

ok i will help .........

The standard deviation of a numerical data set measures the spread or variability of the data.

The standard deviation of a numerical data set measures the variability or spread of the data. It is a statistical measure that provides information about how much the individual data points deviate from the mean or average of the data set. A low standard deviation indicates that the data points are closely clustered around the mean, while a high standard deviation indicates that the data points are more spread out.

                                      The standard deviation is an important tool for understanding the distribution and characteristics of a data set, and is commonly used in a variety of fields including science, finance, and social sciences.

The standard deviation of a numerical data set measures the "spread" or "variability" of the data.

Standard deviation is a measure of how spread out the data points are from the mean (average) of the data set.
A small standard deviation indicates that the data points are close to the mean, while a large standard deviation indicates that the data points are more dispersed.
It helps to understand how much variation there is in a data set, which can be useful for making comparisons and predictions.

In summary, the standard deviation of a numerical data set measures the spread or variability of the data.

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The binary number 1011 represents a value of 9.5 in decimal.

What is a binary number?

A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression that uses only two symbols: typically "0" and "1". The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit or binary digit.

In a fixed-point binary representation, the position of the binary point is fixed, and the value of the number is determined by the weights of the individual bits.

In this case, the four-bit binary number 1011 is a fixed-point number with the binary point between the middle two bits. This means that the leftmost bit represents a value of 8, the next bit to the right represents a value of 4, the next bit represents a value of 1, and the rightmost bit represents a value of 0.5.

To find the decimal value of the number, we can add up the values of the individual bits:

1 x 8 + 0 x 4 + 1 x 1 + 1 x 0.5 = 8 + 0 + 1 + 0.5 = 9.5

Therefore, the binary number 1011 represents a value of 9.5 in decimal.

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Answer:

74

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