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saw5 [17]
3 years ago
13

Solve: (x −6)−(4.5−x )= −1.5 PLZ HELP

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0

Answer:

x=9/2 Hope this helps!

Step-by-step explanation:

Let's solve your equation step-by-step.

x−6−(4.5−x)=−1.5

Step 1: Simplify both sides of the equation.

x−6−(4.5−x)=−1.5

x−6+−1(4.5−x)=−1.5(Distribute the Negative Sign)

x+−6+(−1)(4.5)+−1(−x)=−1.5

x+−6+−4.5+x=−1.5

(x+x)+(−6+−4.5)=−1.5(Combine Like Terms)

2x+−10.5=−1.5

2x−10.5=−1.5

Step 2: Add 10.5 to both sides.

2x−10.5+10.5=−1.5+10.5

2x=9

Step 3: Divide both sides by 2.

2x/2=9/2

x=9/2

Answer is 9/2.

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Answer:

A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F

Test statistic(Z) = 2.31

P-value = 0.0104

Step-by-step explanation:

Step 1

Null hypothesis: The average damaging temperature of nine iPods is 5°F

Alternate hypothesis: The average damaging temperature of nine iPods differs from 5°F

Step 2

Mean=5°F, Sd=3, df=n-1=9-1=8

The t-value corresponding to 8 degrees of freedom and 95% confidence level (5% significance level) is 2.306

Confidence Interval(CI) = (mean + or - t×sd/√n)

CI = (5 + 2.306×3/√8) = 5 + 6.918/2.828= 5+2.45=7.45°F

CI = (5 - 2.306×3/√8) = 5-2.45 = 2.55°F

Z = (sample mean - population mean)/(sd÷√n) = (5-2.55)/(3÷√8) = 2.45/1.061 = 2.31

Step 3

Using the standard distribution table, the cumulative area to the left of Z = 2.31 is 0.9896

P-value = 1 - 0.9896 = 0.0104

Step 4

Conclusion: A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F

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