Answer:
Step-by-step explanation:
Find the area of each shape, then multiply by 20, then round to nearest hundred.
Half circle:
=πr²/2
=50π
=157.08
Large square:
=L•w
=20(22)
=440
Small square:
=L(w)
=12(3)
=36
Triangle:
=b(h)/2
=8(3)/2
=12
Btu req:
=(157.08+440+36+12)(20)
=(645.08)(20)
=12901.6
=12900 BTU
Answer:

Step-by-step explanation:
Remember that the range is the set of all y-values. Thus, since the minimum of the function is y=-1, then our range is
. In interval notation, we use brackets to show what's included and parentheses to show what's not included.
Answer:
-2
Step-by-step explanation:
Here, we want to select a value that makes the expression wrong
The correct answer will be a negative number
Thus, we have it that;
2(-2) > 3(-2)
-4 > -6
Answer:
x=4
Step-by-step explanation:
<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>