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olga nikolaevna [1]
3 years ago
12

The number of hours a light bulb burns before failing varies from bulb to bulb. The distribution of burnout times is strongly sk

ewed to the right. The Central Limit Theorem says that :_________
a. the average burnout time of a large number of bulbs has a distribution that is close to Normal.
b. the average burnout time of any number of bulbs has a distribution that is close to Normal.
c. as we look at more and more bulbs, their average burnout time gets ever closer to the mean for all bulbs of this type.
d. the average burnout time of a large number of bulbs has a distribution of the same shape (strongly skewed) as the distribution for individual bulbs.
e. the average burnout time of any number of bulbs has a distribution of the same shape (strongly skewed) as the distribution for individual bulbs.
Mathematics
1 answer:
VMariaS [17]3 years ago
3 0

Answer:

what

Step-by-step explanation:

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HELPPPP ME PLZZZZ!!!!!!
mihalych1998 [28]
<h3>Answers:</h3>

14.  Each leg is   21\sqrt{2}  units long.

15 (a). The longer leg is 7\sqrt{3}  units long

15 (b). The hypotenuse is 14 units long

=====================================================

Explanations:

For a 45 degree right triangle, aka 45-45-90 triangle, the hypotenuse is equal to sqrt(2) times the short leg. Algebraically we can say

y = x\sqrt{2} where x is the leg and y is the hypotenuse

Let's solve for x

y = x\sqrt{2}\\\\x\sqrt{2} = y\\\\x = \frac{y}{\sqrt{2}}\\\\x = \frac{y\sqrt{2}}{\sqrt{2}*\sqrt{2}} \ \text{rationalizing denominator}\\\\x = \frac{y\sqrt{2}}{2}\\\\

Now plug in the given hypotenuse y = 42, this leads to,

x = \frac{y\sqrt{2}}{2}\\\\x = \frac{42\sqrt{2}}{2}\\\\x = \frac{42}{2}\sqrt{2}\\\\x = 21\sqrt{2}\\\\

---------------------------

For a 30-60-90 triangle, the hypotenuse is double that of the short leg. So the hypotenuse is 2*7 = 14.

The longer leg is equal to sqrt(3) times the short leg. The longer leg is 7\sqrt{3}

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