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kakasveta [241]

3 years ago

11

Donna takes classes at both Westside community college and pinewood community college. at westside , class fees are $98 per cred

it hour, and at pinewood class fees are $115 per credit hour. Donna is taking a combined total of 19 credit hours at the two schools.
suppose that she is taking w credit hours at westside. write an expression for the combined total dollar amount she paid for her class fees.

1 answer:

Alex777 [14]3 years ago

8 0

Answer:

Expression for the combined total dollar amount she paid for her class fees is (2185 - 17 w)

Step-by-step explanation:

Let Donna is taking w credit hours at Westside.

Total combined credit hours at two schools = 19 hours

So, the number of credit hours at Pinewood = 19 - w

The per hour fees credit of Westside community college = $98

So, the total fees paid for w hours = w x Fees per hour

= w ( $98) = $(98w)

⇒The fees Donna pays at Westside community college = $ (98 w)

The per hour fees credit of Pinewood community college = $115

So, the total fees paid for (19 -w) hours = (19 -w) x Fees per hour

= (19 -w) ( $115) = $(2185 - 115 w)

⇒The fees Donna pays at Pinewood community college =$(2185 - 115 w)

Hence, the total fees paid by Donna

= Fees at Westside + Fees at Pinewood

= $ (98 w) + $(2185 - 115 w)

= $(2185 - 17 w)

Hence, expression for the combined total dollar amount she paid for her class fees is $(2185 - 17 w)

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Step-by-step explanation:

Information provided

$\bar X=12.2$ represent the sample mean fould against

$s=1.6$ represent the sample standard deviation

$n=34$ sample size

represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

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$p_v =P(t_{(33)}>2.551)=0.008$

Since the p value is less than the significance level of 0.05 we have enough evidence to reject the null hypothesis in favor of the claim

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