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2 years ago

10. Saul works two part-time jobs. Last week, he worked 14 hours at a shoe store, and 19

Mathematics

1 answer:

Sedbober [7]2 years ago

6 0

Answer:

shoe store $7.80/hour

telemarketer: $6.90/hour

Step-by-step explanation:

Let s = hourly salary at the shoe store.

Let t = hourly salary as a telemarketer.

14s + 19t = 240.3

19s + 22t = 300

Multiply both sides of the first equation by 19. Multiply both sides of the second equation by -14. Then add them.

266s + 361t = 4565.7

(+) -266s - 308t = -4200

----------------------------------------

53t = 365.7

t = 6.9

Substitute 6.9 for t in the first equation and solve for s.

14s + 19(6.9) = 240.3

14s + 131.1 = 240.3

14s = 109.2

s = 7.8

Answer:

shoe store $7.80/hour

telemarketer: $6.90/hour

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In analyzing the city and highway fuel efficiencies of many cars and trucks, the mean difference in fuel efficiencies for the 60

Olegator [25]

Answer:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

$7.38+1.96\frac{2.51}{\sqrt{601}}=7.58$

For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

Step-by-step explanation:

Data provided

$\bar X=7.38$ represent the sample mean for the fuel efficiencies

$\mu$ population mean

s=2.51 represent the sample standard deviation

n=601 represent the sample size

Confidence interval

The formula for the confidence interval of the true mean is given by:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom for this case is given by:

$df=n-1=601-1=600$

The Confidence level for this case is 0.95 or 95%, and the significance level $\alpha=0.05$ and $\alpha/2 =0.025$ and the critical value is given by $t_{\alpha/2}=1.96$

Replcing into the formula for the confidence interval is given by:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

$7.38+1.96\frac{2.51}{\sqrt{601}}=7.58$

For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

8 0

3 years ago

HELP ASAP!! LOTS OF POINTS!! WILL MARK BRIAN-LIST

KiRa [710]

Answer:

LSA = 532 yds ^2

Step-by-step explanation:

We do not add the triangles in because they are the bases and the bases do not get added in the lateral surface areas.

From left to right

Rectangle 1

A = lw = 9.9 *20 =198

Rectangle 2

A = lw = 6.8 *20 =136

Rectangle 3

A = lw = 9.9 *20 =198

Add them together

198+136+198

532

LSA = 532 yds ^2

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3 years ago

A bottle is filled with saline solution for eyes, is the bottle more likely to hold 15 milliliters of solution or 1 liter of sol

Gnesinka [82]

The bottle is more likely to hold 15 milliliters

hope this helped

3 0

3 years ago

If f(x) = 2x + 3 and g(x) =4x - 1, find f(4).

fomenos

Solve the "f" function with substitute 4 and solve the "g" function with what we get for the "f" function.

f(4) = 2(8) + 3

f(4) = 16 + 3

f(4) = 19

g(19) = 4(19) - 1

g(19) = 76 - 1

g(19) = 75

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3 years ago

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professor190 [17]

Answer:

2xm

Step-by-step explanation:

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