Hi , the answer is proportional , every time when you see an equation that has the Y first then a number next to a x , that equation tells you that there is a proportional relationship.
<span />
<span>204
First, lookup a standard normal table and see what the z-score is for 0.025 (one half of 100% - 95%) to allow for equal sized tails. You should find that the z-score is 1.96. That means that 95% of the time, the value should be within 1.96 standard deviations of the mean. Now let's calculate the standard deviation.
800 is 800 - 1200 = -400 to the left of the mean of 1200.
1600 is 1600 - 1200 = 400 to the right of the mean of 1200.
So we are an equal distance of 400 on both sides of the mean. And we know from the z-score of 1.96, that we're 1.96 standard deviations from the mean. So a little division will give us the standard deviation. Which is:
400 / 1.96 = 204.0816327
So the standard deviation of the light bulbs is 204</span>
Answer:
we conclude that:

Step-by-step explanation:
Given
We have to determine 
so

Thus we conclude that:

Answer:

Step-by-step explanation:
Let
be the original fraction.
If the numerator of a fraction is increased by six, the value of the fraction will increase by one. Hence,

If the denominator of the original fraction is increased by 36, the value of the original fraction will decrease by one. Hence,

Add these two equalities:

Substitute it into the first equation:

Thus, the initial fraction was
