Answer:
10.9
Step-by-step explanation:
Formula = Number x 100
Percent = 6 x 100
55 = 10.91
Following shows the steps on how to derive this formula
Step 1: If 55% of a number is 6, then what is 100% of that number? Setup the equation.
6
55% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
55Y = 6 x 100
55Y = 600
Y = 600
100 = 10.91
9 bottles will be filled to the top you’re welcome.
Answer:
p(x) = 0.6x³ - 200x² + 500x- 300
Step-by-step explanation:
Given the cost function and revenue function as:
C(x) = 500x² + 100x
R(x) = -0.6x³ + 700x² – 400x + 300
To get the profit function:
p(x) = C(x) - R(x)
p(x) = 500x² + 100x -(-0.6x³ + 700x² – 400x + 300)
open the parenthesis
p(x) = 500x² + 100x + 0.6x³ - 700x² + 400x - 300
p(x) = + 0.6x³+500x² - 700x² + 100x+ 400x- 300
p(x) = 0.6x³ - 200x² + 500x- 300
Hence the profit function is expressed as p(x) = 0.6x³ - 200x² + 500x- 300
* <em>L is the Length</em><em /> <em>and A is the Area
</em><em />
L * L = A
L * L = 1600
L^2 = 1600
√L^2 = √1600
L = 40 feet
Answer: The length of each side is 40 feet.
Btw: <em />this was your question "<em>A square garden has an area of 1600 feet length of each side"</em>
When it should be . . .
<em>"A square garden has an area of 1600 feet squared length of each side"</em>
<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>
