A'(- 4, 3 )
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
A(3, 4 ) → A'(- 4, 3 )
Answer:
a) Null and alternative hypothesis:

b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.
c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.
d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%
e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.
Step-by-step explanation:
a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.
Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.
On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.
This can be written as:

The value of the real life expression is, simple interest = $12.5
<h3>How to simplify this real life expression and show unit analysis?</h3>
The real life expression is given as:
simple interest = ($100) (0.05/year) (2.5 years
Divide 1 year by 1 year
simple interest = ($100) (0.05) (2.5)
Rewrite the equation as a product of factors
simple interest = ($100) * (0.05)* (2.5)
Evaluate the product of 0.05 and 2.5
simple interest = ($100) * 0.125
Evaluate the product of $100 and 0.125
simple interest = $12.5
Hence, the value of the real life expression is, simple interest = $12.5
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