Answer:
Step-by-step explanation:
We are given the following in the question:
The needle size should not be too big and too small.
The diameter of the needle should be 1.65 mm.
We design the null and the alternate hypothesis

Sample size, n = 35
Sample mean,
= 1.64 mm
Sample standard deviation, s = 0.07 mm
Type I error:
- It is the error of rejecting the null hypothesis when it is true.
- It is also known as false positive error.
- It is the rejecting of a true null hypothesis.
Thus, type I error in this study would mean we reject the null hypothesis that the average diameter is 1.65 mm but actually the average diameters of the needle is 1.65 mm.
Thus, average diameter is 1.65 mm and we decide that it is not 1.65 mm.
Using linear pairs,

By the exterior angle theorem,

Answer:
c. Multiple zero is 3; multiplicity is 2
Step-by-step explanation:
The factor is repeated, that is, the factor (
x − 3
) appears twice. The number of times a given factor appears in the factored form of the equation of a polynomial is called the multiplicity. The zero associated with this factor, x = 3
, has multiplicity 2 because the factor (
x − 3
) occurs twice.
Then
Multiple zero is 3; multiplicity is 2.
Answer:
D.
Step-by-step explanation:
Answer:
326
Step-by-step explanation:
Given: Microscopes. Each one costs $200 and resells online for $526.
To find: What is the mark-up percentage?
Solution: Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage.

Net Profit Margin = 61.98%
Net Profit = $326.00
Profit Percentage = 163.00%
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