Which Greek mathematician is known as the father of geometry
1 answer:
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Answer:
1,082
Step-by-step explanation:
The sample size n in Simple Random Sampling is given by
where
z = 1.645 is the critical value for a 90% confidence level (*)
s = 2 is the estimated population standard deviation
e = 0.1 mm points is the margin of error
so
rounded up to the nearest integer.
So the manufacturer should test 1,083 parts.
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(*)This is a point z such that the area under the Normal curve N(0,1) outside the interval [-z, z] equals 10% = 0.1
It can be obtained in Excel with
NORMINV(1-0.05,0,1)
and in OpenOffice Calc with
NORMINV(1-0.05;0;1)
ANSWER
EXPLANATION
The quadratic equation is:
Group variable terms:
Add the square of half, the coefficient of y to both sides.
The LHS us now a perfect square trinomial:
Take square root:
The first choice is correct.
We have been given that ∠Q is an acute angle such that . We are asked to find the measure of angle Q to nearest tenth of a degree.
We will use arctan to solve for measure of angle Q as:
Now we will use calculator to solve for Q as:
Upon rounding to nearest tenth of degree, we will get:
Therefore, measure of angle Q is approximately 2.3 degrees.