Your boss is submitting a report to an organization that ensures employees in your industry are paid fairly. He asked you to calculate some summary statistics including the range and the mean. The salaries are as follows: $48,000, $41,000, $29,000, $48,000, $32,000. Provide the statistics for your boss.

Answer:

w=[tex]\frac{40}{3}[/tex]

Step-by-step explanation:

2(2w+8)+2w=96

Distribute the 2.

4w+16+2w=96

Combine like terms.

6w+16=96

Subtract 16

6w=80

Divide 80 by 6.

w= 13.333333 or [tex]\frac{40}{3}[/tex]

Answer:

the first one

Step-by-step explanation:

it gives you 3-x=3-x

The solution of equations is x=3 ,y=1

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

x=3y

2x+4y=10

Substitute the first equation into the second one

2(3y)+4y=10

6y+4y=10

10y=10

Y=1

Place the answer for Y into the first equation

X=3(1)

X=3

Therefore; the value of x and y of equations will be 3 and 1

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Answer:

1/2 of the class

give brainliest if it helps

Answer:

1:2

Step-by-step explanation:

The ratio of the number of sides of a square to the number of edges of a cube is- A)1:2.

Answer:

Distance travel by Monica = 628 ft

Step-by-step explanation:

Given:

Radius of whee l = 1 ft

Number of revolution = 100

Find:

Distance travel by Monica

Computation:

Distance travel by Monica = 100[Circumference of wheel]

Distance travel by Monica = 100[2πr]

Distance travel by Monica = 100[2(3.14)(1)]

Distance travel by Monica = 100[6.28]

Distance travel by Monica = 628 ft

Answer:

chemicals

Step-by-step explanation: everything we see and touch is made up of a mixture of chemicals

Answer:

aₙ = aₙ₋₁ + aₙ₋₂

where:

a₁ = 6

a₂= 1.

Step-by-step explanation:

We have the sequence:

6, 1, 7, 8, 15, 23, ...

Is easy to see that this sequence works as follows:

You take 2 consecutive numbers, and the next number is the sum of these two.

Then we have:

6 + 1 = 7

1 + 7 = 8

7 + 8 = 15

8 + 15 = 23

Then the n-th term is equal to the sum of the (n - 1) term and the (n - 2) term.

This is written as:

aₙ = aₙ₋₁ + aₙ₋₂

Because in the recursive rule needs two previous terms, we need to specify  the two first terms of the sequence.

Then we need to write also:

a₁ = 6

a₂= 1.

Answer:

(0,4)

Step-by-step explanation:The y intercept is where the line passes through the y-axis.

Answer:

75

Step-by-step explanation:

Answer:

thank for the points hsushajwhshbsjsbsjs

Greetings I am BrotherEye

Answer: How find the volume of a triangular pyramid?

Triangular pyramid volume formula

In words: the volume of a triangular pyramid is one-third of the product of the base area and the pyramid's height

Step-by-step explanation:

Now in mathematical terms Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.

Best of Luck!

Answer:

5.5

Step-by-step explanation:

Fisrst I would rearange the equation to read 8.25 -2.75 from there you would just subtract as normally.

The rule for coordinates for a reflection over the y -axis is:

( x, y ) → ( −x, y )

The coordinates plane for the triangle ABC after a reflection over the y-axis is

A(5, -2), B(4, -4), and C(6, -4).

Reflection is a transformation that flips a shape in a mirror line also called a line of reflection so that each point is the same distance from the mirror line as its reflected point.

The rule for coordinates for a reflection over the y -axis is:

( x, y ) → ( −x, y )

We have,

The following coordinates:

A = (-5, -2)

B = (-4, -4)

C = (-6, -4)

Since the rule for coordinates for a reflection over the y-axis is

(x, y) ⇒ (-x, y)

We have,

(-5, -2) = (5, -2)

(-4, -4) = (4, -4)

(-6, -4) = (6, -4)

Thus the coordinates plane for the triangle ABC after a reflection over the y-axis is A(5, -2), B(4, -4), and C(6, -4).

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Answer: c = 1.59 * a

Step-by-step explanation:

You got the answer correct.

Answer:

You are correct, it is c = 1.59 * a

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The 3 triangles are all similar.

Using the 2 inside then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 → C

Answer:

C) x = 6

because this is a right triangle

=> we have:

(12² + x²)(3² + x²) = (15x)²

<=> 1296 + 153x² + x⁴ = 225x²

<=> x⁴ - 72x² + 1296 = 0

<=> (x² - 36)² = 0

<=> x² = 36

=> x = 6

Answer:

55

Step-by-step explanation:

g(-4)=-20-5 or -25

f(g(4)=-2(-25)+5 or 50+5

Answer:

16 km !

Step-by-step explanation:

all the others are FAR too small.. they wouldnt even be one story up ! and 16m  isnt 5 stories either... km would be right !

i hope this helps !!

Answer:

122

Step-by-step explanation:

Answer:

122

Step-by-step explanation:

8 pints in 1 gallon

multiply 15.25 and 8 to get answer of 122

Answer:

What's the question? You only gave us the equations, we have no idea what its asking

Step-by-step explanation:

Answer:

The paper is right.

Step-by-step explanation:

The fraction is [tex]\frac{4}{5}[/tex] multiplied by [tex]\frac{3}{3}[/tex] and the answer is [tex]\frac{12}{15}[/tex]. How did it do that? Well, the numerator (top number),4, was multiplied by the other numerator ,3, which is 12. The same thing with the denominator (bottom number), the denominator,5, was multiplied by the other denominator ,3, which is 15. But as seen in the paper, the fraction

Answer:

2/16

simplest form:1/8

Step-by-step explanation:

2/16

simplest form:1/8

There are 16 boys in all so 16 will be your denominator and there are to boys absent so your numerator

2/16

Then simplify by dividing 2/2

1/8

Answer:

The coordinates of point p are:

x = -3.2

y = 9.6

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:

a = (3 - 5)/(10 - 6) = -0.5

Then this line will be something like:

y = -0.5*x + b

To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:

x = 6

y = 5

Then we get:

5 = -0.5*6 + b

5 = -3 + b

5 + 3 = b

8 = b

Then the equation for line L1 is:

y = -0.5*x + 8

Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)

Then line L2 has a slope equal to -3

y = -3*x + b

And we know that this line passes through the origin, (0, 0)

Then if we replace the values of that point in our equation, we get:

0 = -3*0 + b

0 = b

Then line L2 is:

y = -3*x

Then our two lines are:

y = -0.5*x + 8

y = -3*x

Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:

-0.5*x + 8 = y = -3*x

-0.5*x + 8 = -3*x

now we can solve this for x.

-0.5*x + 8 = -3*x

8 = -3*x + 0.5*x

8 = -2.5*x

8/-2.5 = x = -3.2

Now we need to evaluate one of the lines on this value, i will use line L2

y = -3*(-3.2) = 9.6

Then we can conclude that the lines do intersect in the point:

x = -3.2

y = 9.6

this point is written as: (-3.2, 9.6)

Answer:

$10294.20

Step-by-step explanation:

8550 increase 20.4% =

8550 × (1 + 20.4%) = 8550 × (1 + 0.204) = 10294.2

Answer:

b =✓45

Step-by-step explanation:

9^2-6^2

√45

b= ✓45

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio

[tex]\frac{28}{24} = \frac{3x-9}{x +8}\\\\\frac{7}{6}=\frac{3x-9}{x+8}\\[/tex]

Cross multiply,

7*(x + 8) = 6*(3x -9 )

7x + 7*8 = 6*3x - 6*9

7x +  56   = 18x - 54

          56 = 18x - 7x -54

          56 = 11x - 54

         11x - 54 = 56

               11x  = 56 +54

                11x = 110

               x = 110 /11

x = 10

PR = 3x -9

     = 30 - 9

PR = 21