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Usimov [2.4K]
4 years ago
9

Given f (x) = 6x + 2, find f (x + 3).

Mathematics
1 answer:
Dovator [93]4 years ago
3 0

Answer:

6x+20

c.

Step-by-step explanation:

If f(x)=6x+2 and you are asked to find f(x+3), then you just replace all the x's in f(x)=6x+2 with (x+3).

Doing this gives you:

f(x)=6x+2        with new input (x+3) in place of out input (x)

f(x+3)=6(x+3)+2

f(x+3)=6x+18+2

f(x+3)=6x+20

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A random sample of 100 workers in one large plant took an average of 12 minutes to complete a task, with a standard deviation of
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Answer:

The 95% Confidence Interval for the difference between the two population mean completion times =

(0.081, 1.919)

Step-by-step explanation:

Confidence Interval for difference between two means =

μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2

Where

μ1 = mean 1 = 12 mins

σ1 = Standard deviation 1 = 2 mins

n1 = 100

μ2= mean 2 = 11 mins

σ2 = Standard deviation 2 = 3 mins

n1 = 50

z score for 95% confidence interval = 1.96

μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2

= 12 - 11 ± 1.96 × √2²/100 + 3²/50

= 1 ± 1.96 × √4/100 + 9/50

= 1 ± 1.96 × √0.04 + 0.18

= 1 ± 1.96 × √0.22

= 1 ± 1.96 × 0.469041576

= 1 ± 0.9193214889

Confidence Interval

= 1 - 0.9193214889

= 0.0806785111

≈ 0.081

1 + 0.9193214889

= 1.9193214889

≈ 1.919

Therefore, the 95% Confidence Interval for the difference between the two population mean completion times =

(0.081, 1.919)

5 0
3 years ago
Brielle's piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80/ If Brielle has 66 nicke
kramer

Answer:

$4.50

Step-by-step explanation:

40x10=400

400 pennies=4 dollars

5x10=50

50 pennies=1/2 dollar

4 0
3 years ago
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