ther are twi factors of -36 such that one factor is 11 less than half of the other factor.

shue isvsye jrue si buabs ikwgeh oshe

1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.

14n = 35

/14     /14

n = 35/14

According to the information, the missing number from the box is number 40.

To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.

According to the above we can infer that the missing number is 40.

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Using the binomial distribution, it is found that there is a 0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.

For each manager, there are only two possible outcomes. Either they say job applicants should follow up within two weeks, or they do not say it. The opinion of a manager is independent of any other manager, which means that the binomial distribution is used to solve this question.

Binomial probability distribution  

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)  

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that at least 4 of them say job applicants should follow up within two weeks is \(P(X \geq 4)\), which is given by:

\(P(X \geq 4) = 1 - P(X < 4)\)

In which:

\(P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{8,0}.(0.41)^{0}.(0.59)^{8} = 0.0147\)

\(P(X = 1) = C_{8,1}.(0.41)^{1}.(0.59)^{7} = 0.0816\)

\(P(X = 2) = C_{8,2}.(0.41)^{2}.(0.59)^{6} = 0.1985\)

\(P(X = 3) = C_{8,3}.(0.41)^{3}.(0.59)^{5} = 0.2759\)

\(P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0147 + 0.0816 + 0.1985 + 0.2759 = 0.5707\)

\(P(X \geq 4) = 1 - P(X < 4) = 1 - 0.5705 = 0.4295\)

0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.

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The ordered pairs for the coordinates of the fire department and of the hospital are given as follows:

The y-coordinate is the same for both the fire department and for the hospital.

The notation of an ordered pair is given as follows:

(x-coordinate,y-coordinate).

From the graph, each coordinate is defined as follows:

For this problem, as the fire department and the hospital are aligned horizontally, it means that they have the same y-coordinate.

The image containing the location of the fire department and of the hospital is shown at the end of the answer.

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Hope it helps :)

\(x + 4y = 9 \\

-x - 2y = 3 \\ eliminate \: one \: variable \: by \\ adding \: the \: equations \\ 2y = 12 \\ divide \: both \: sides \\ y = 6 \\ substitute \: the \: value \: of \: y \\ \: into \: equation \: ...2 \\ - x - 2(6) = 3 \\ solve \: the \: equation \\ - x - 12 = 3 \\ - x = 3 + 12 \\ - x = 15 \\ x = - 15 \\ SOLUTION \\ x = - 15 \\ y = 6 \\ Hope \: it \: helps :)\)

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

Answer:

y=11x

Step-by-step explanation:

we use formula y2-y1/x2-x1 with 2 of the order pairs

22-11/2-1

11/1

11 is the slope

We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time

When x is zero y is zero so we write it like this

Y=11x

Hopes this helps please mark brainliest

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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Answer:

3w - 3

Step-by-step explanation:

There are 3 possibilities for the spinner because there is green, blue, and purple.

There are 5 possibilities for the marbles because there is pink, blue, green, purple, and orange.

There are 2 possibilities for the cards because there is 4 and 5.

3 x 5 x 2 = 30 possibilities.

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Answer:

Yes, you're correct.

Step-by-step explanation:

Answer:

5 units is the answer.

Step-by-step explanation:

\(d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(8-8)^2 + (9-4)^2}\\\\d=\sqrt{(0\\)^2+(5)^2} \\\\d=\sqrt{25} \\\\d=5 \\\\\)

∴ d = 5 units

The value of the discriminant for the quadratic equation –3 = –x2 + 2x is  16

The quadratic equation is given as:

–3 = –x^2 + 2x

Rewrite the equation as:

x^2 - 2x - 3 = 0

A quadratic equation is represented as;

ax^2 + bx + c = 0

So, we have

a = 1

b = -2

c = -3

The discriminant is

d = b^2 - 4ac

So, we have

d = (-2)^2 - 4 * 1 * -3

Evaluate

d = 16

Hence, the value of the discriminant for the quadratic equation –3 = –x2 + 2x is  16

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Answer:

16

Step-by-step explanation:

Answer:

10 shirts, 6 pants

Step-by-step explanation:

Let y = the number of shirts

Let x = the number of pants

y + 2 = 2x

x + y = 16

y = 2x - 2

x + (2x - 2) = 16

3x = 18

x = 6

y + 6 = 16

y =  10

Answer:

\(\textsf{A.} \quad \begin{cases}y=2x-2\\x+y=16\end{cases}\)

\(\textsf{B. \quad 6 pants and 10 shirts}\)

Step-by-step explanation:

Given variables:

If the number of shirts Sylvia packed was 2 fewer than twice the number of pants she packed:

\(\implies y=2x-2\)

If the total number of pairs of pants and shirts was 16:

\(\implies x+y=16\)

Therefore, the system of equations that represents the problem is:

\(\begin{cases}y=2x-2\\x+y=16\end{cases}\)

System of equations:

\(\begin{cases}y=2x-2\\x+y=16\end{cases}\)

Substitute the first equation into the second equation and solve for x:

\(\implies x+2x-2=16\)

\(\implies 3x-2=16\)

\(\implies 3x=18\)

\(\implies x=6\)

Substitute the found value of x into the first equation and solve for y:

\(\implies y=2(6)-2\)

\(\implies y=12-2\)

\(\implies y=10\)

Therefore, Sylvia packed:

Answer:

D is correct trust.

Step-by-step explanation:

I literally took the test 2 minutes ago and got that answer.

due to unavailability of graph I sketched a rough diagram so hope this ans. helps you dear....take care!

Answer:

Letter A

Step-by-step explanation:

He is the ticket clerk so it makes sense people would ask about the ticket prices.

Answer:

9.3 = 93 / 10

Step-by-step explanation:

The perimeter of the rectangle created by the given points (-4, 4), (3, 4), (-4, -3), and (3, -3) is 28 units. The length of each side is calculated, and the sum of all four sides gives the perimeter. Option D.

To find the perimeter of the rectangle created by the given points, we need to calculate the sum of the lengths of all four sides.

Let's calculate the length of each side:

Side 1: The distance between (-4, 4) and (3, 4) along the x-axis is 3 - (-4) = 7 units.

Side 2: The distance between (-4, 4) and (-4, -3) along the y-axis is 4 - (-3) = 7 units.

Side 3: The distance between (-4, -3) and (3, -3) along the x-axis is 3 - (-4) = 7 units.

Side 4: The distance between (3, -3) and (3, 4) along the y-axis is 4 - (-3) = 7 units.

Now, let's sum up the lengths of all four sides:

Perimeter = Side 1 + Side 2 + Side 3 + Side 4

Perimeter = 7 + 7 + 7 + 7

Perimeter = 28 units

Therefore, the perimeter of the rectangle created by the given points is 28 units. Option D is correct.

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The constant of proportionality is equal to 3/10.

In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 3/10 = 6/20 = 9/30

Constant of proportionality, k = 3/10.

Therefore, the required linear equation is given by;

y = kx

y = 3/10(x)

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Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer:

(f-g)(x) = x-3

Step-by-step explanation:

f(x)=3x-2

g(x)=2x+1

(f-g)(x)= 3x-2 - ( 2x+1)

Distribute the minus sign

3x -2 -2x -1

Combine like terms

x-3

The probability is 5/36, or a ratio of 5 to 36 that the sum of two dice rolls will equal 8.

You are given that there are 36 possible combinations. This can be calculated by multiplying the number of sides:

Now, we need to find the possibilities of earning a sum of 8 when rolling the dice. These are:

Therefore, we see there are 5 ways to earn a sum of 8 out of 36 possible combinations. We will set up a ratio or fraction to represent it.

The probability that the sum will equal 8 is equivalent to a ratio of 5 to 36.

Answer:

a.(-1,8), (2,9) b. (2,0) (3,5)

Step-by-step explanation:

a.

for (-4, 7) slope is \(\frac{1}{3}\)

slope is m=rise /run =rise 1/run3 so to go to the next point

from (-4,7)

rise 1 so now you are at (-4,8) and run 3 and you are at (-1,8)

from (-1,8)

rise 1 to (-1, 9) and run 3 to (2,9)

b

(1,-5) slope is \(\frac{5}{1}\)

from (1,-5) rise 5 to (1,0) and run 1 to (2,0)

from (2,0) rise 5 to (2,5) and run 1 to (3,5)

Answer:

No and No

Step-by-step explanation:

Squaring a odd, whole, number results in a even number 99% of the time with the only exception being 1 (1^2 equals 1). If m is 3 and n is 5, mn would be 15, so if both m and n are odd they don't always equal a even number.

Answer:

Step-by-step explanation:

If we are dealing with whole real numbers.

Both answers are based on the same idea.

The product of two numbers is even only if at least one of the two multiplicands is even.

The square of an odd number can only result in an odd number. The reverse is true as well. The square root of an odd number can only be an odd number.

This comes from number theory where multiplication is the repeated addition of one number a certain number of times.

If the first number is even, then every time you add itself again results in an even number, It does not matter if you add an even or odd number of times.

If the first multiplicand is odd, the sum of two odd numbers is always even, adding a third odd multiplicand again results in an odd number, the fourth is even, the fifth is odd, the pattern continues forever. The summation of an even number of odd multiplicands results in an even number. The summation of an odd number of odd multiplicands results in an odd number.

Answer: B

Step-by-step explanation:

I just solved it

The correct answer is . The ordered pairs (a, b) of a function are (b, a) for the inverse function.