A survey conducted by a research team was to investigate how the education level, tenure in current employment, and age are related to annual income. A sample of 20 employees is selected and the data are given below. Education (No. of years) Length of tenure in current employment (No. of years) Age (No. of years) Annual income ($) 17 8 40 124,000 12 12 41 30,000 20 9 44 193,000 14 4 42 88,000 12 1 19 27,000 14 9 28 43,000 12 8 43 96,000 18 10 37 110,000 16 12 36 88,000 11 7 39 36,000 16 14 36 81,000 12 4 22 38,000 16 17 45 140,000 13 7 42 11,000 11 6 18 21,000 20 4 40 151,000 19 7 35 124,000 16 12 38 48,000 12 2 19 26,000 10 6 44 124,000 a. Determine the estimated multiple linear regression equation that can be used to predict the annual income given number of years school completed (Education), length of tenure in current employment, and age.

Answer:

2.9m

Step-by-step explanation:

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x -  7

for  x =  23   = 23 - 7 = 16

3 a - b =  12 - 6 = 6

8/t  =  8/4 =  2

9 + m =  9 + 1.5 = 10.5

1/2 w + 2 =  1/2 x 1/9 + 2 = 1/18 + 2 = 1/18 + 36/18 = 37/18

5 ( 6.2 + z ) =   50

Step-by-step explanation:

[tex]4\cdot \:11-x+4=33[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:11=44[/tex]

[tex]44-x+4=33[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]-x+44+4=33[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:44+4=48[/tex]

[tex]-x+48=33[/tex]

[tex]\mathrm{Subtract\:}48\mathrm{\:from\:both\:sides}[/tex]

[tex]-x+48-48=33-48[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-x=-15[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]

[tex]\frac{-x}{-1}=\frac{-15}{-1}[/tex]

[tex]Simplify[/tex]

[tex]x=15[/tex]

Answer:

Okay so yes the answer is 15

Step-by-step explanation:

It begins with 4X11 which is 44

So the equation becomes 44-x+4=33

Then I add 44 plus 4 which is me adding all the available terms which is 48

Then I subtracted 33 from 48 to find the value of x

And 48-33=15

So there you pretty much have it.

To be sure you can plug the answer in.

4x11=44

44-(x) which is 15 so 44-15=29

29+4=33

There ya have it!

Step-by-step explanation:

3(2/3y) =3(-6)

2y=-18

2/2y= -18/2

y=-9

Answer:

[tex]\frac{13}{15}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}+\frac{1}{5}=\frac{10}{15}+\frac{3}{15}=\frac{13}{15}[/tex]

Answer:

z = -4 + 6i

Step-by-step explanation:

A math conjugate is formed by changing the sign between two terms in a binomial. For instance, the conjugate of x+y is x−y . We can also say that x+y is a conjugate of x−y . In other words, the two binomials are conjugates of each other.

Look up to their vertexes

So

[tex]\\ \rm\rightarrowtail g(x)=f(x)+k[/tex]

[tex]\\ \rm\rightarrowtail g(-3)=f(-3)+k[/tex]

[tex]\\ \rm\rightarrowtail 1=-3+k[/tex]

[tex]\\ \rm\rightarrowtail k=1+3[/tex]

[tex]\\ \rm\rightarrowtail k=4[/tex]

The required value of K for the transformation of f(x) is 4. Option C is correct.

Given that,
Graph for the transformation of f(x) in the format g(x) = f(x) + k,
To determine the k value.
Two parabolas open up with f(x) passing through (- 3, - 3)and g(x) passing through  (-3, 1).

A parabola is a cross section cut out of the cone and represented by an equation

Here,
Since equation of transformation is g(x) = f(x) + k
Now put the values of the vertex in the transformation equation,
f(x) passing through (- 3, - 3)and g(x) passing through  (-3, 1).

f(-3) = -3
g(-3) = 1
g(-3) = f(-3) + k
1 = -3 + k
k = 1 + 3

k = 4

Thus, the required value of K for the transformation of f(x) is 4. Option C is correct.

Learn more about parabola here:

brainly.com/question/4074088

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Answer:

X =0

Y=0

..........Am i right

Answer:

154 divide by 12 when you get your answer multiply it by 8

Answer: you would use 5 cups

Step-by-step explanation:

if the recipe calls for 5 cups of chicken both you would use the 5 cups as it tells you

We need the diagonal of rectangle

Hypotenuse be H

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow H^2=P^2+B^2[/tex]

[tex]\\ \rm\Rrightarrow H^2=10^2+24^2[/tex]

[tex]\\ \rm\Rrightarrow H^2=26^2[/tex]

[tex]\\ \rm\Rrightarrow H=26[/tex]

Answer:

$19.43

Step-by-step explanation:

Answer:

-14 + 28 + 27

Step-by-step explanation:

well 42-27-28 is -14 so add -14 to 28 27 and you might get 42

Answer:

I think the answer is either B or D

Step-by-step explanation:

Let's see

So they are Linear pairs

Option B

Answer:

6.89 x 10^14

Step-by-step explanation:

Answer:

The original price is $50. The student's mistake in the equation is that he should have done 7.5/0.15

The student should not have multiplied, instead divided. He also didn't put 15 in a decimal form, which would have messed the whole equation up.

Answer:

The student should have divided the discounted amount by the percent. The percent should have been written as a decimal.

Step-by-step explanation:

that is what it says in the simple reponse

Answer:

can u also help me if i help u?

Step-by-step explanation:

Answer:

17 years old.

Step-by-step explanation:

5 years than 3 times can be represented as 5*3.

5*3=15.

If Eva is 2, and Bill is 15 years older, 2+15=17.

Therefore, Bill is 17 years of age.

The answer is 2000kg

If the side length of an equilateral triangle is 5 centimeters, the length of altitude is about 4.33 centimeters.

An equilateral triangle can be defined as a type of triangle or regular polygon that has equal side lengths and all of its interior angles are equal.

Mathematically, the length of altitude of an equilateral triangle is calculated by using this formula:

[tex]L=\frac{\sqrt{3} }{2} a[/tex]

Where:

Given the following data:

Substituting the given parameters into the formula, we have;

[tex]L=\frac{\sqrt{3} }{2} \times 5\\\\L=\frac{5\sqrt{3} }{2}[/tex]

Length = 4.33 centimeters.

Read more on equilateral triangle here: brainly.com/question/11844452

Answer:

11 and 12 or -11 and -12

Step-by-step explanation:

Answer:22

374meters. 17

(/). divided by (/)

17seconds 17

Equals 22 meters per second

Step-by-step explanation:

Answer:

Your answer would be 23.46

Answer:

Yes

Step-by-step explanation:

A for loop basically relies on repeating the same code for a pre-set number of times. During which you can make any code repeat inside of it, including indexing through a type of list. Many times a for-loop will use the indexes in a list to calculate the number of times that the loop has to repeat. This is usually done in order to search or apply changes in an array of other types of data structures that have countless values stored in it.

Answer:

Student ticket=$10. Senior ticket=$7

Step-by-step explanation:

If we say Student ticket price = Y. and senior ticket price = X. Then we can say:

[tex]3x+5y=71\\10x+12y=190[/tex]

We can rewrite one of the equations as y equals:

[tex]10x=190-12y[/tex]

Then, we simply solve for x.

[tex]\frac{10x=190-12y}{10}=x=19-1.2y[/tex]

Then, we use the other equation and replace x with the equation we just solved

[tex]3(19-1.2y)+5y=71\\[/tex]

We simplify and it becomes:

[tex]57-3.6y+5y=71[/tex]

Then we subtract 57 from each side and get:

[tex]-3.6y+5y=-14[/tex]

Next, we combine the y and get:

[tex]1.4y=14[/tex]

Then we divide by 1.4 and get:

[tex]\frac{1.4y=14}{1.4} =y=10[/tex]

This means that the cost per student ticket is $10

Next we replace the y value in an equation with 10 and solve:

[tex]3x+5y=71\\3x+5(10)=71\\3x+50=71\\[/tex]

Then we subtract 50 from each side:

[tex]3x+50=71\\-50\\3x=21[/tex]

Finally, we divide each side by 3:

[tex]\frac{3x=21}{3} =x=7[/tex]

This means that each senior ticket costs $7

Step-by-step explanation:

Given equation is:-

Dividing both sides by 4, we get

By doing simply, we get

Hence, the value of c will be ¾.