Acompany makes batteries with an average life span of 300 hours with a standard deviation of 75 hours. assuming the distribution is approximated by a normal curve fine the probability that the battery will last: (give 4 decimal places for each answer)

1. less than 250 hours

2. between 225 and 375 hours

3. more than 400 hours

1.

2.

3.

Step-by-step explanation:

Given information: Population mean = 300 hours, Standard deviation=75

Let X be the life of battery in hours.

(1) The probability that the battery will last less than 250 hours is

Therefore the probability that the battery will last less than 250 hours is 0.2546.

(2) The probability that the battery will last between 225 and 375 hours is

Therefore the probability that the battery will last between 225 and 375 hours is 0.6826.

(3) The probability that the battery will last more than 400 hours is

Therefore the probability that the battery will last more than 400 hours is 0.0918.

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

step-by-step explanation:

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