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KengaRu [80]
3 years ago
9

Janine worked 15 hours last week. One job as a clerk in a sporting goods store paid her ​$8.47 per​ hour, while her job giving p

iano lessons paid ​$17 per hour. If she earned ​$178.23 between the two​ jobs, how many hours did she work at each​ job?
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
4 0

Answer:

she worked 9 hours at sporting goods store and 6 hours on piano lessons.

Step-by-step explanation:

total hours=15

8.47x + 17(15-x) = 178.23

8.47x + 225 - 17x = 178.23

225 - 178.23 = 17x - 8.47x

76.77 = 8.53x

x = 76.77 / 8.53

x = 9

therefore she worked 9 hours at sporting goods centre and the remaining hours (15-9) giving piano lessons.

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Previous concepts

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Solution to the problem

Part a

For the 90% confidence interval the value of \alpha=1-0.9=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the t distribution with df =3. And we can use the folloiwng excel code: "=T.INV(0.05,3)" and we got:

t_{\alpha/2} =\pm 2.35

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For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the t distribution with df =106. And we can use the folloiwng excel code: "=T.INV(0.005,106)" and we got:

t_{\alpha/2} =\pm 2.62

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