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Bezzdna [24]
3 years ago
9

Solve the inaquality 2(x-1)>8

="2(x - 1) \geqslant 8" alt="2(x - 1) \geqslant 8" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0
<span>2(x-1)</span>≥<span>8

1.  Divide both sides by 2 on the way towards isolating x on the left side:
     x-1 </span>≥ 4
2.  Add  1 to both sides to isolate x:     x≥5

That's it.  The solution set consists of all real numbers = to or greater than 5.

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Which number is not written in scientific notation
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Answer:

D. 15x10^20

Step-by-step explanation:

The rule for scientific notation is that the coefficient has to be between 1 and less than 10. This means there is only one digit in front of the decimal. 15x10^20 should be written as 1.5x10^21 to follow the rule.

5 0
3 years ago
Read 2 more answers
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.

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3 years ago
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Answer:

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Which input in this table is incorrect?
ycow [4]

Answer:

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Step-by-step explanation:

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aksik [14]

Answer:

9

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9x2 is 18, so he can rent a bike for nine days if the rent is $2

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