Answer:
18
Step-by-step explanation:
First, I'm assuming AB=4=4x-2 was a typo and it's supposed to be AB = 4x - 2
AB=BC
AB = 4x - 2 BC = 3x + 3
4x - 2 = 3x + 3
Solve for x Add 2 to each side
4x - 2 = 3x + 3
4x - 2 + 2 = 3x + 3 + 2
4x = 3x + 5 Subtract 3x from each side.
4x - 3x = 3x- 3x + 5
4x - 3x = 5
x = 5
Now plug back in to the original equations
AB = 4x - 2 BC = 3x + 3
AB = 4 (5) - 2 BC = 3(5) + 3
AB = 20 - 2 BC = 15 + 3
AB = 18 BC = 18
So AB is 18
Answer:
1. 80
2. 18.9
3. 7
4. 146
5. 2
6. 4
Step-by-step explanation:
1. 6+4=10
10×8=80
2. 3.6×4.5= 16.2
16.2+2.7= 18.9
3. 3+2=5
5×2= 10
17-10=7
4. 4×3=12^2
12×12=144
144+2= 146
5. 3+2=5
5×6=30
30÷15=2
6. 5×2= 10
40÷10=4
For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars
The formula for the variance is,
where,
= sample variance
= the value of the one observation
= the mean value of all observations
n = the number of observations
For given question,
n = 4
First we find the mean of their salaries.
(33 + 31 + 24 + 36 ) / 4 = 31
So,
Using the formula for variance ,
Therefore, for given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars
Learn more about the variance here:
brainly.com/question/13673183
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Answer: You need a grade of 78 on the final exam to earn a final grade average of at least 87 in each grading system.
Step-by-step explanation:
(85 + 90 + 95 + x)÷ 4 =87
Simplify:
(270 + x) ÷ 4 = 87
Rearrange:
(x + 270) ÷ 4 = 87
Multiply terms to Reduce:
4((x + 270) ÷ 4) = 4 * 87
Cancel Multiplied terms in Denominator:
x + 270 = 4 * 87
Multiply:
x + 270 = 348
Subtract 270 on both sides of the equation:
x + 270 - 270 = 348 - 270
Simplify:
x = 78
Hello!
The answer to your problem is:
<u>Simplify both sides of the equation</u>
<u>Subtract 2/3x from both sides</u>
<u>Subtract 2 from both sides</u>
<u>Multiply both sides by 3/(-26)</u>
<u>Get your answer</u>
Hope This Helps!