Answer:
Mean strength is 18.94 and your standard deviation is 0.5.
So the proportion of bolts that meet the specifications is 97%.
Step-by-step explanation:
First of all determine the z- scores of these points.There are 10% of bolts with a strength less than 18.3 kN and this normally distributed you can use chart or calculator to calculate z-score. As i have 5% then z-score is -1.28.Then check the other 19.76kN then find that it has a z-score of 1.64.
To check the difference subtract 19.76 and 18.3 then you get 1.46.
Subtract z-scores 1.64 - (-1.28) = 2.92
Then standard deviation is 1.46/2.92 = 0.50
mean of the bolts is obtained by adding 1.28 *0.5 = 0.64 to 18.3 then
subtract 1.64 *0.5 = 0.82 to 19.76
Then mean is 18.94
Mean strength is 18.94 and your standard deviation is 0.5.
For strength specification. First, we find the z-score for this value:
(18-18.94)/0.5=-1.88
the probability of a bolt being made stronger than this z-score.It is approximately 0.97.
So the proportion of bolts that meet the specifications is 97%. .
The perimeter of the garden is already found
it is <span>2l + 2w = 48, the half of it is P/2= 24
but we know that P/2=l + w, so we can find w=P/2-l =24 -15= 9 feet
the answer is </span><span>A. 9 feet</span>
Answer:
Amy
Step-by-step explanation:
Answer:
59.3
Step-by-step explanation:
First find the area of the the right triangles
5 * 4 / 2 = 10
Multiply it by 2 since there are 2 right triangles that are the same
10 * 2= 20
Then find the area of a semi circle
The radius is 5
π5^2 / 2= 39.27
39.27 rounded to the nearest tenth is 39.3
Add them together
20 + 39.3 = 59.3
59.3 is your answer