Look at the picture.
c. ΔABC to ΔA"B"C" using translation
(x, y) → (x - 2; y - 8)
The answer is approximately 8.1
You can set up a proportion to solve for the percentage of the coins that are pennies. Of course, there are alternate methods as well, but this is one method. First, you define the percentage of the coins that are pennies to be equal to a variable, such as x. Next, you write 240/600 = x/100, due to how "x" is the amount out of 100 (since per cent is for every cent (out of 100)), and 240 would correspond to x while 600 would correspond to 100. This proportion may also be written as 100/x = 600/240, or 240/x = 600/100. In order to solve for x, you use cross-products, or you multiply each denominator by the numerator of the other fraction. You will be left with a numerical value that's equal to a number times x, and then you divide both sides of the equation by the coefficient of x in order to isolate x. As a result, you will have the percentage of the coins that are pennies to be your answer. Remember to write the units for every numerator and denominator in your proportion.
Answer:
The percentage of volumes that are within 3 standard deviation of the mean is 99.73%.
Step-by-step explanation:
We want to calculate the area under the curve within 3 standard deviations from the mean.
If we use the standard normal distribution, this probability can be calculated as the diference between P(z<3) and P(z<-3).
The area under the curve for the standard distribution and for any normal distribution within 3 standard deviation from the mean is 0.9973.
The percentage of volumes that are within 3 standard deviation of the mean is 99.73%.
Answer:
L = (P - 2W) / 2
Step-by-step explanation:
Given:
P = 2L + 2W
Where,
P = perimeter of a rectangle
L = length of the rectangle
W = width of the rectangle
Make L the subject of the formula
P = 2L + 2W
Subtract 2W from both sides
P - 2W = 2L + 2W - 2W
P - 2W = 2L
Divide both sides by 2
(P - 2W) / 2 = 2L / 2
L = (P - 2W) / 2
The answer is L = (P - 2W) / 2