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aev [14]
3 years ago
11

The Henderson family runs a farm. A portion of the soil on their farm will not be used. What is the area of the portion of the s

oil that will not be farmed.

Mathematics
1 answer:
Savatey [412]3 years ago
8 0

Answer:

(C)221.5 miles

Step-by-step explanation:

Given a triangle with two sides a and b and an included(an angle between the two given sides) angle \theta,

Area of the Triangle =\dfrac12 ab\sin \theta

a=32$ miles\\b=23 miles\\\theta =37^\circ

Therefore, The area of the portion that will not be farmed

=\dfrac12 \times 32 \times 23 \times \sin \37^\circ\\=221.47\\\approx 221.5$ square miles

The correct option is C.

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Answer:

a) Null hypothesis: \mu =0

Alternative hypothesis: \mu \neq 0

b) t =-7.44

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d) Reject Null hypothesis. The is enough evidence to conclude that the mean prediction error is not equal to 0.

We reject the null hypothesis because the p_v. So we can conclude that the difference is significantly different from 0 at 5% of significance.

Step-by-step explanation:

Assuming this output:

t_{difference}=-0.395

t(observed value) =-7.44

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a) What are the null and alternative hypothesis

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Alternative hypothesis: \mu \neq 0

The reason is because the output says a bilateral test so for this case w eselect this option.

b) Identify the statistic

The correct formula for the statistic is given by:

t=\frac{\bar X_1 -\bar X_2 -0}{\sqrt{(\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2})}}

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We have the degrees of freedom given 98

Based on the alternative hypothesis the p value is given by:

p_v = 2*P(t_{98}

d) State the final conclusion that addresses the original claim

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We reject the null hypothesis because the p_v. So we can conclude that the difference is significantly different from 0 at 5% of significance.

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Answer:

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