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fgiga [73]
3 years ago
7

2 a) Seth wants to buy a skateboard that costs $ 169. I have $ 88 in the bank. If he earns $ 7.25 an hour pulling weeds, how man

y hours will Seth have to work to earn the rest of the money needed to buy the Skateboard? Show or explain how you found your answer. (b) Seth wants to buy a helmet as well. A new helmet costs $ 46.50. Thinkseth thinks he can work 6 hours on Saturday to earn enough money to buy the helmet. Is he correct? Show or explain how you found your answer. (6) Setn s third goal is to join some friends on a trip to see a skateboarding show. The cost of the trip is about $ 350. How many hours will Seth need to work to afford the trip? Show or explain how you found your answer.
Mathematics
1 answer:
ad-work [718]3 years ago
6 0

Answer:

The answer is 11 hour and 17 min for 2a

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Step-by-step explanation:

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Answer:

\chi^2 = \frac{(26-33.33)^2}{33.33}+\frac{(32-33.33)^2}{33.33}+\frac{(44-33.33)^2}{33.33}+\frac{(37-33.33)^2}{33.33}+\frac{(27-33.33)^2}{33.33}+\frac{(34-33.33)^2}{33.33}=6.7

Now we can calculate the degrees of freedom for the statistic given by:

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Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we can conclude that  the outcomes are equally likely

Step-by-step explanation:

We need to conduct a chi square test in order to check the following hypothesis:

H0: There is no difference in the frequencies

H1: There is a difference in the frequencies

The level of significance assumed for this case is \alpha=0.01

The statistic to check the hypothesis is given by:

\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

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Value            1     2    3    4    5     6

Frequency  26  32  44  37  27  34

And the expected values are for this case the same E_i = \frac{200}{6}= 33.33

And now we can calculate the statistic:

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Now we can calculate the degrees of freedom for the statistic given by:

df=6-1=5

And we can calculate the p value given by:

p_v = P(\chi^2_{5} >6.7)=0.244

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we can conclude that  the outcomes are equally likely

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