Step-by-step explanation:
First
Outer
Inner
Last
First- 5x*2x=10x^2
Outer-5x*-1= -5x
Inner--7*2x= -14x
Last- -7*-1= 7
10x^2-5x-14x+7
you can simplify it further however thats the answer
<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:
Yes.
Step-by-step explanation:
4 (2m + 3m) +6m - 5
8m + 3m + 6m -5
17m - 5
Step-by-step explanation:
<u>Part 1</u>
To find out the amount of water ten big water bottles can hold, we have to find out how much water is in each water bottle. To do this, we divide the amount we are looking for by the number of items.
8 ÷ 4 = 2
Part 1 answer: Each water bottle can hold <u>2 gallons</u> of water.
<u>Part 2</u>
Now that we know the amount of water in each water bottle, we can find out how much water 10 water bottles can hold. To do so, we multiply our previous answer, 2, by the number of items (10).
2 • 10 = 20
Part 2 answer: 10 water bottles can hold <u>20 gallons</u> of water.
Our final answer: 20 gallons
I hope this helps you!
The value of x is 5
<em><u>Solution:
</u></em>
<em><u>
The slope of a line is given by formula:
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From given,

<em><u>Substituting the values we ge</u></em><em><u>t,</u></em>

Thus the value of x is 5