Answer:
Option B) 42.2 months
Step-by-step explanation:
We are given the following data of the amount of time in months.
2, 3, 5, 13, 22, 35, 60, 86, 101, 122
We have to find the standard deviation.
Formula:
where are data points, is the mean and n is the number of observations.
Sum of squares of differences =
1840.41 + 1755.61 + 1592.01 + 1017.61 + 524.41 + 98.01 + 228.01 + 1689.21 + 3147.21+ 5944.41 = 17836.9
Thus, the standard deviation of given data set is 42.2 months.
Option B) 42.2 months
The answer is b) <span>4^2 + 7^2
proof
(3.-5) - (-1.2) = (4. -7), the length of vectAB(</span>(4. -7) =sqrt (<span>4^2 + 7^2)</span>
9/8 + 9/4 = 27/8.
Multiply 9/4 by 2.
9/4 • 2 = 18/8
Then, add the fractions.
9/8 + 18/8 = 27/8
Simplify 27/8.
27/8 = 3 3/8
Answer:
a) 0.62%
b) 518 g
Step-by-step explanation:
a)
Here we want the area under the Normal curve of mean = 500 g and standard deviation s = 10 g to the left of 475 (the probability that the machine produces a box with less than 475 g of cereal).
With the help of a spreadsheet we found that value is 0.0062 or 0.62% (another way of seeing it is that 62 boxes out of 10,000 will have 475 g or less)
<h3>See picture</h3>
b)
Here we want to find a value of such that the area of the Normal curve of mean and standard deviation 10 to the left of 500 is 4% or 0.04
If we make the change
then this is equivalent to finding a value of z for which the area under the Normal curve N(0,1) (mean = 0 s = 1) to the left of z is 4% = 0.04
Either by using a table or spreadsheet, we find that value is z = -1.751
So,
and the manufacturer must set its filling machine to the target weight of 518 g.
Answer:
2 + 2 + 2 + 2 + 2 + 2 = 4 × 3
Step-by-step explanation: