If AABC ~ ADEF, then which of the following must be true? Check all that apply.

Could I please get some help with these three questions (17, 19, 21)

sladkih [1.3K]

Simply substitute the given number for all the equations.

17) 5b + 1 = 16 where b is -3

5(-3) + 1 = 16

-15 + 1 = 16

-14 ≠ 16

So, the given number is not a solution.

19) 2 = 10 - 4y where y is 2

2 = 10 - 4(2)

2 = 10 - 8

2 = 2

The given number is a solution.

21) -6b + 5 = 1 where b is 0.5

-6(0.5) + 5 = 1

-3 + 5 = 1

2 ≠ 1

The given number is not a solution.

3 0

3 years ago

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A researcher at a large company has collected data on both the beginning salary and the current salary of 48 randomly selected e

Nadya [2.5K]

Answer:

a. 0.83

b. 44107.3

c. 2252.7

Step-by-step explanation:

a)

The correlation coefficient is calculated as

byx=rSy/Sx

rSy=byx*Sx

⇒r=byx*Sx/Sy

Sy=standard deviation of y=standard deviation of current salary=15300

Sx=standard deviation of x=standard deviation of beginning salary=5970

byx=2.12

r=2.12*5970/15300

r=12656.4/15300

r=0.83

There is a strong positive correlation between current and beginning salary.

b)

Beginning salary=$22000

As

y^ =−2532.7 + 2.12x.

Current salary=-2532.7+2.12*beginning salary

Current salary=-2532.7+2.12*22000

Current salary=-2532.7+46640

Current salary=$44107.3

The predicted current salary of Mr. Joseph Keller is $44107.3.

c)

Residual=y-y^=Observed-Predicted

Observed Current Salary of Kathy Jones=40000

Beginning salary of Kathy Jones=19000

y^ =−2532.7 + 2.12x.

Predicted Current salary=-2532.7+2.12*beginning salary

Predicted Current salary=-2532.7+2.12*19000

Predicted Current salary=-2532.7+40280

Predicted Current salary=$37747.3

Residual=Observed Current Salary-Predicted Current salary

Residual=40000-27747.3

Residual=$2252.7

The residual for Ms. Jones is $2252.7.

8 0

2 years ago

Simplify the expression. 19m – 4m2 + 4m2

solmaris [256]

I am not sure what does that question mean by simplify. If it means not to solve and just arrange;
You can divide the whole of the equation to m^2

Then you get;
19/m -4 +4

And you can divide the whole equation to 4 then you get;

19/4m -1 +1

You can also write as ;
(1/m * 19/4) - 1 + 1

6 0

2 years ago

HELP ME!!! ITS DUE TOMMOROW!! Find the largest value of $r$ such that $6r^2+7r+8=6$.

Alex787 [66]

First you need to see that this is a quadratic. I need.to put all of the values on one side of equation to see what I got.
6r^2 + 7r + 8 = 6
6r^2 + 7r + 2 = 0

Now this one is difficult to factor so i will use quadratic equation:
[-b (+-) sqrt (b^2 - 4ac)] / (2a)

we know that a b and c are in a quadratic at these positions.
ax^2 + bx + c

so
[-7 (+-) sqrt (7^2 -(4)(6)(2)] / (2) (6)
[-7 (+-) sqrt (49 - 48)] / 12
[-7 (+-) 1] /12

split into the + and - for 2 answers
(-7 + 1) / 12
-6/12
-1/2

And
(-7 -1) /12
-8 / 12
-2/3

those are.the 2 answers

But but it says largest so -1/2

4 0

2 years ago

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Gordon types 2,964 words in 39 minutes. Find the unit rate.

atroni [7]

Answer:

76 words per minute

Step-by-step explanation:

2964/39=76 words per minute

8 0

2 years ago