<span>f(x) = 2(0.75)^x
at x = 3
>> </span>f(3) = 2(0.75)^3
>> f(3) = <u>0.84375</u>
Answer:D
Step-by-step explanation:
The slope is 7/8.
Slope formula is the change in y over the change in x,
M=y2-y1 / x2-x1
M= -3 - (-10) / -2 - (-10)
Remember that two negatives equal a positive.
That makes the equation:
M= -3 + 10 / -2 + 10
M= 7/8
<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>
