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shtirl [24]
3 years ago
14

Sarah earns $500 a week at her job when she works 40

Mathematics
1 answer:
frez [133]3 years ago
6 0

Answer:

G = $612.50 when H = 46hours

Step-by-step explanation:

Given:

G = 18.75(H-40) + 500

Where,

G =Gross pay in dollars

H = Number of hours worked

If her gross pay one week was $612.50, what was the

total number of hours she worked that week?

G = $612.50 when H = ?

G = 18.75(H-40) + 500

612.50 = 18.75H - 750 + 500

612.50 = 18.75H - 250

Add 250 to both sides

612.50 + 250 = 18.75H

862.5 = 18.75H

Divide both sides by 18.75

862.5 / 18.75 = 18.75H / 18.75

46 = H

H = 46

If her gross pay one week was $612.50, her total hours worked = 46hours

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Extreme cold and hot temperatures are known to affect the operation of electronic components. Winter is approaching and you are
Musya8 [376]

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

7 0
4 years ago
A race car driver won a 300 mile race with a speed of 194 miles per hour. Find the drivers time.
agasfer [191]
Time = distance / speed

time = 300/194
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8 0
3 years ago
(2x/3)-(5x/9)-(x/6)-(5x/12)=13/2 this equation is equivalent to:
agasfer [191]

Answer:

-17x=234

Step-by-step explanation:

Given that:

\dfrac{2x}{3}-\dfrac{5x}{9}-\dfrac{x}{6}-\dfrac{5x}{12}=\dfrac{13}{2}

\dfrac{72x-60x -18x-45x }{108} = \dfrac{13}{2}

\dfrac{-51x }{108} = \dfrac{13}{2}

-102x =    1404

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6 0
3 years ago
Describe the behavior of the function h around its vertical asymptote at x=-6.
steposvetlana [31]

Answer:

B

Step-by-step explanation:

One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .

When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.

Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B

7 0
3 years ago
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Grace [21]

Answer:

Step-by-step explanation:

5 0
3 years ago
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