The point Estimate is 0.645 , the confidence interval is (0.525 ,0.764).
<h3>What is Point Estimate ?</h3>
The point estimate is the proportion of success in the sample.
From the data given
p = 40/62
p = 0.645
The point Estimate is 0.645
(b) Confidence interval for true proportion is

For 95 % Z = 1.96
p =0.645
1-p = 0.355
putting the values

(0.525 , 0.764)
Lower Limit = 0.525
Upper Limit = 0.764
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What do you mean this sentence?
the time a pump takes to drain the pool varies inversely with the power in watts of the pump,
The meaning would be : if we have a power in watts greater the time to drag the pool will be less because the relation between power and time is inverse.
40 watts--------------5 hours)
100 watts------------ x
because the relation between power and time is inverse, we multiply directly.
40 watts(5 hours)=100 watts x
x=(200 watts hours) / 100 watts=2 hours.
Answer: the time would be 2 hours. (the new pump is faster)
Answer:for the first one, you should probably do a table of values then answer the question, i usually find that helpful
Step-by-step explanation:
SOLUTION
From the question given the following statements to prove are correct, then the last part

The reason is Side-side-side triangle theorem
This theorem states that all three sides of a triangle are congruent (identical) to the corresponding sides of another triangle, then the triangles themselves are also congruent.
Hence the answer is Side-side-side triangle theorem
The simplified expression for 6(2( y + x)) is 12y + 12x.
Accordin to the given question.
We have an expression
6(2( y + x))
Therefore,
The simplified expression for 6(2( y + x)) is given by
6(2(y + x))
= 6(2y + 2x) (by distributive law)
= 12y + 12x (by distributive law)
Hence, the simplified expression for 6(2( y + x)) is 12y + 12x.
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