Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Norma got a score of 84.2; this version has a mean of 67.4 and a standard deviation of 14. Pierce got a score of 276.8; this version has a mean of 264 and a standard deviation of 16. Reyna got a score of 7.62; this version has a mean of 7.3 and a standard deviation of 0.8. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Example: (2x - 4) x=7 so (2x (x=7) - 4) =18

Answer:

2 units

Step-by-step explanation:

vertical distance will be the magnitude of the difference in the 'y' coordinates

| -.8 - 1.2| = 2 units

The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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Answer:

According to this problem, i would say the answer is c

Step-by-step explanation:

a variable examples are letters such as x, y, z, n

The order of the given fractions will be 5/3>3/2>5/6.

What exactly is a fraction?

A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given fractions are 5/6 ,5/3,  3/2

lets make the denominator same

Divide and multiply fraction 2 and 3 by 2 and 3 respectively

then fractions are 5/6, 10/6, 9/6

so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6

hence,

           The order of the given  fractions will be 5/3>3/2>5/6.

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Answer:

woah mcdonal

Step-by-step explanation:

how peculiar

Answer:

c. The period is 2π

Step-by-step explanation:

The period of a function is the smallest value of $p$ for which\( f(x+p) = f(x)\) for all x.

For the function f(x) = 2cos(x^2), we can see that f(x+2π) = f(x) for all x.

This is because the cosine function has a period of 2π. Therefore, the period of f(x) = 2cos(x^2) is \(\boxed{2\pi}\)

Answer:

wheres the diagram..?

Step-by-step explanation:

..i think you forgot the diagram lol

Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.

Equation is a mathematical statement that expresses two expressions as equal. It consists of two expressions separated by an equal sign (=). An equation is used to solve for a unknown value by using known values and following the rules of algebra and arithmetic. Equations can be used to solve for a single unknown, multiple unknowns, and even non-numeric values.

Given that the total cost for parking and four tickets to a baseball game is $175.00.

$25 is the parking fee.

4 tickets cost $175 - $25.

Suppose that each ticket costs t.

t =($175 - $25)/4

Each ticket costs $37.5.

The equation follows.Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.

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Answer:

5AB + 40 = +2

Step-by-step explanation:

IN FIRST BLANK (5AB)

SECOND BLANK (40)

Answer:The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)

Step-by-step explanation:

The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)

The equation of a circle usually takes the form;

(x-a)² + (y-b)² = r²

where a and b are x- and y- coordinates of the center of the circle.

In this scenario, the center is at the origin (0,0).

In essence, the points on the circle which have an x-coordinate of 1 can be evaluated as follows;

(1-0)² + (y - 0)² = 4²

1 + y² = 16.

y² = 15

y = ±√15.

The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)

Answer:

Step-by-step explanation:

let, the length is z

thus the ratio will be 5z : 4z

perimeter = 2 (a + b)

360 = 2 ( 5z + 4z )

180 = 9z

z = 20 cm

length = 100 cm and width = 80cm

area = length * width

area = 100*80

area = 8000cm²

Answer:

10 months. Each plan will save 800 dollars.

Step-by-step explanation:

500 + 30x = y

300 + 50x = y

You want the months to give the same amount of money. The x has to be the same for both

500 + 30x = 300 + 50x        Subtract 300 from both sides

500 - 300 + 30x = 50x         Combine

200 + 30x = 50x                   Subtract 30x from both sides

200 = 50x - 30x                    Combine

200 = 20x                              Divide by 20

x = 10

So in 10 months time the amounts will be the same. How much will there be?

500 + 30*10 = 500 + 300 = 800

300 + 50*10 = 300 + 500 = 800

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

$827.20

Step-by-step explanation:

0.044 x 18800 = 827.20

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Answer:

Step-by-step explanation:

Let income=X

Given he spend 1/5of his income on food.=X/5

He spend 1/3 of his income on car=X/3

Left with=286

So

x-(X/5+X/3)=286

x-8x/15=286

7x/15=286

X=286×15/7

X=612.85

His income is 612.85.

Answer:

86.60254

Step-by-step explanation:

30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)

The probability that all computer science majors will be chosen at random is 20 ways.

Given that,

There are ten math majors and twenty computer science majors in a class of thirty students. To prepare a demo on how to use a graphing calculator, five students are chosen at random.

We have to find what is the probability that all computer science majors will be chosen at random.

We get,

The probability that all computer science majors will be chosen at random is (20  1)

Which is 20 ways.

Therefore, The probability that all computer science majors will be chosen at random is 20 ways.

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Answer:

NO because 7+5=12

The sum must be larger (not equal to) the longest side. If it's exactly the same, there's no room to for the shorter two sides to angle up to form a triangle.

Answer:

3 and 9

Step-by-step explanation:

x+y=12

y-x=6

y-x=6

 +x.  +x

y=6+x

x+(6+x)=12

6+2x=12

-6.    -6

2x=6

/2. /2

x=3

3+y=12

-3.  -3

y=9

Hopes this helps please mark brainliest

Answer:

7 1/8

Step-by-step explanation:

1 1/8 + 1 1/8 is 2 2/8

2 2/8 + 4 7/8 is 6 9/8 = 7 1/8

Answer:

9

Step-by-step explanation:

5x-3= 2x+24

5x=2x+27

3x=27

X=9

Answer: A.  9

Step-by-step explanation:

The diagonal is bisected by the other diagonal.  So the 2 parts of the diagonal are equal

5x - 3 =  2x + 24                 >Bring like terms to 1 side

3x = 27                                >Divide both sides by 3

x = 9

The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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Answer:

RESOLUCIÓN.

Para resolver este problema hay que seguir los siguientes pasos:

1) Determinar la comisión del vendedor de seguros.

Se sabe por datos del problema que cuando vendió $3000 su sueldo total fue de $850 y cuando vendió $4000 su sueldo total fue de $1000, eso quiere decir que:

Venta = 4000 - 3000 = $1000

Sueldo = 1000 - 850 = $150

Es decir que por cada $1000 en ventas, su ganancia es de $150.

1000 ---> 100%

150 ---> x

x = 150 * 100 / 1000 = 15%

Por lo tanto el porcentaje de comisión del vendedor es de 15% por venta.

2) Determinar el salario semanal fijo del vendedor.

Una vez conocido el porcentaje de comisión se puede obtener el salario fijo.

Para el primer caso:

850 = Salario fijo + Comisión

Comisión = 3000 * 15/ 100 = $450

Por lo tanto se tiene que:

850 = Salario fijo + 450

Salario fijo = $400

Por lo tanto se tiene que el salario semanal del vendedor es de $400.

Step-by-step explanation:

x is 146 degrees

This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees

180 - 34 = 146

Answer: x = 146°

Step-by-step explanation:

Given that y = 35°, Using linear pair

x+y = 180

x+35=180(Substitute value of y)
x=180-35(Transposition Method)

x=145°

Answer:

x ≈ 56.6°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos x = \(\frac{adjacent}{hypotenuse}\) = \(\frac{EF}{DF}\) = \(\frac{4.4}{8}\) , then

x = \(cos^{-1}\) ( \(\frac{4.4}{8}\) ) ≈ 56.6° ( to the nearest tenth )

We need to first make these improper fractions. 5 = 40/8, so 40/8+6/8 = 46/8. Similarly, 4 = 20/5, so 20/5+4/5=24/5.

So we need to find the value of 46/8+24/5. Multiply the first fraction by 5/5 and second fraction by 8/8 to get the same denominator. We get (46*5+24*8)/8*5 = 422/40. This is equal to 400/40 + 22/40 = 10+22/40.

So the third answer choice is correct.

Hope that helped!