The probability of an event cannot be less than 0 because 0 means it's impossible. The probability of an event cannot be more than 1 because 1 means that it's certain that it will happen. That's why the probability must be between 0 and 1.
Answer:
X=55°
Y=30°
Step-by-step explanation:
2y=x+5
Y=1/2x+2.5
3y+30=4x-100
3(0.5x+2.5)+30=4x-100
1.5x+7.5+30=4x-100
4x-1.5x=137.5
2.5x=137.5
X=55°
Y=30°
6 6/8 or 6 3/4 simplified
Step-by-step explanation:
First, add 5/8 and 7/8
Next, divide the sum of 5/8 and 7/8 (which is 1 4/8)
Lastly, add the wholes and 1 from 4/8
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%. .
