Next two terms 5, 3, 1.8, 1.08
1 answer:
You might be interested in
Answer:
Mean =
Standard deviation =
Find the probabilities for the average length of life of the selected batteries.
A)The average is between 1128 and 1140.
We are supposed to fidn P(1128<x<1140)
Formula :
At x = 1128
Refer the z table for p value
P(x<1128)=0.4404
At x = 1140
Refer the z table for p value
P(x<1140)=0.5
So,P(1128<x<1140)=P(x<1140)-P(x<1128)=0.5-0.4404=0.0596
Hence the probabilities for the average length of life of the selected batteries is between 1128 and 1140 is 0.0596
B)The average is greater than 1152.
P(x>1152)
At x = 1128
Refer the z table for p value
P(x<1152)=0.5596
So,P(x>1152)=1-P(x<1152)=1-0.5596=0.4404
Hence the probabilities for the average length of life of the selected batteries is greater than 1152 is 0.4404
C) The average is less than 940.
P(x<940)
At x = 940
Refer the z table for p value
P(x<940)=0.5596
Hence the probabilities for the average length of life of the selected batteries is less than 940 is 0.5596
If you are not familiar with the Pythagorean theorem, I will write it below to remind you for your future mathmatical endeavours:
c is the hypotenuse, and a and b are the other two sides. The hypotenuse is the largest side of a triangle. In this example, a and b are equal to each other and c is equal to 2, so I'm going to convert b into a and do some math trickery here:
Basically, I swapped b with a and combined like terms. Then I just replaced c with 2, then squared it into 4.
All you have to do now is solve for a
Step 1 is to divide both sides by 2 to get:
Then just square both sides:
Now you know that the length of the sides are equal to the square root of 2.
Sorry if this was a bit rushed, I hate running out of time on these. If you have any questions on why I did something, ask away in the comments.
c is the hypotenuse, and a and b are the other two sides. The hypotenuse is the largest side of a triangle. In this example, a and b are equal to each other and c is equal to 2, so I'm going to convert b into a and do some math trickery here:
Basically, I swapped b with a and combined like terms. Then I just replaced c with 2, then squared it into 4.
All you have to do now is solve for a
Step 1 is to divide both sides by 2 to get:
Then just square both sides:
Now you know that the length of the sides are equal to the square root of 2.
Sorry if this was a bit rushed, I hate running out of time on these. If you have any questions on why I did something, ask away in the comments.