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)
From 1-12 the multiples of 8 are: (left side)
8,16,24,32,40,48,56,64,72,80,88,96
From 1-12 the multiples of 12 are: (right side)
12,24,36,48,60,72,84,96,108,120,132,144
The common multiples are: (middle)
24, 48, 72 and 96
***I’m not sure if you’d incorporate 0. But that would also count**
Answer:
A = 120 cm²
Step-by-step explanation:
The 4 part of the ratio relates to the height of triangle A , then
16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then
5 parts = 5 × 4 cm = 20 cm
The area (A) of triangle B is calculated as
A =
bh ( b is the base and h the height )
Here b = 12 and h = 20 , then
A =
× 12 × 20 = 6 × 20 = 120 cm²
If

, you have

But if

, you have

So the limit does not exist.
D is the answer because rise over run is going to left and plus 2 is on the y axis