<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>
LMN, NML or Angle M. Depends on context for all of these. They all work though.
Answer:
If two points pass through each other it means that it is not a function. The vertical line test shown proves that fact.
Step-by-step explanation:
Answer:
y= -1/5x + 1/5
Step-by-step explanation:
y- y1 = m(x - x1)
Slope m=-1/5
(1, -4)
1 = y1
-4 = x1
y- 1 = -1/5(x-(-4))
y-1 = -1/5(x+4)
y-1= -1/5(x)+ -1/5(4)
y-1 = -1/5x + -4/5
add one to both sides
y= -1/5x + -4/5 + 1
y = -1/5x + 1/5