Answer:
0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 50
Standard Deviation, σ = 1.3
Sample size, n = 12
We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =

P(sample mean hardness for a random sample of 12 pins is at least 51)
Calculation the value from standard normal z table, we have,
0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.
Answer:
0.625lb bag of bird seeds
Step-by-step explanation:
She starts with a 3.5 lb bag,
Then she uses 3/4 of the bag, so find the remaining amount in the bag, which would be 1/4 of the original weight;
1/4 * 3.5
= 1/4 * 7/2
= 7/8
Then she removes 0.25 lbs of weight, hence take away 0.25 (the amount removed) from 7/8 (the current weight of the bag).
7/8 - 0.25
= 7/8 - 1/4
= 7/8 - 2/8
= 5/8
So she has a 5/8lb bag of bird seeds or a 0.625lb bag.
The correct answer: total interest = $1,784.56 and she would have $4,284.56 after 7 years
Answer:
9.82 feet
Step-by-step explanation:
the perimeter of the window is the circumference of a semi-circle with a diameter of 5
P = (πd)/2 (divided in half because it's only half a circle)
P ≈ 3.14(3.5) which is approx 11
11 is closest to 9.82
Okay I’ll try!!!!! Let me go check it out