To determine the average water use, 109 people must be sampled.
1.9 gallons is the standard deviation.
E = 0.15 gallons maximum error
1.9 gallons on average
90% is the critical value.
1.645 is the 90% confidence interval.
sample size requirement,
n = (((z ÷ 2) × σ) ÷ E)²
n = (((1.645 ÷ 2) × 1.9) ÷ 0.15)²
n = ((0.8225 × 1.9) ÷ 0.15)²
n = (1.5627 ÷ 0.15)²
n = (10.418)²
n = 108.53 ≈ 109
As a result, the minimal sample size necessary to determine the mean water use = 109.
It is determined by dividing the average standard error by the squared of the sample size, and it decreases with increasing sample size. In other words, when the sample size is sufficiently big, the population mean approaches the population mean.
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The distance between is =|9|+|-6|=15.
We can find that
So 2/5 of the AB segment is 6 distance points away from A at point C=0.
Plug 7 into each y. 9(7) -4(7) +3
63-28+3
The answer is 38
Answer:
x = √(10)/2
Step-by-step explanation:
Here, we want to get the measure of the side marked x
what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each
Hence, the other last side will measure x too
Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
x^2 + x^2 = (√5)^2
2x^2 = 5
x^2 = 5/2
x = √(5/2)
x = √5/√2
Rationalizing the denominator;
x = (√2 * √5)/(√2 * √2)
x = √10/2
Answer:
corresponding
Step-by-step explanation:
