Suppose that the amount of time that a battery functions is a normal random variable with a mean of 400 hours and a standard deviation of 50 hours. if two batteries are randomly picked with the intention of using one as a spare to replace the other if it fails, (a) what is the probability that the total life of both batteries will exceed 760 hours? (b) what is the probability that the second battery will outlive the first by at least 25 hours? (c) what is the probability that the longer-lasting battery will outlive the other by at least 25 hours?

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough

you meant circumference well the answer is:

17.27876 miles

area is 23.7583

the radius is 2.75 miles

hope this hmu if needed.