Answer:
Step-by-step explanation:
x*y = 490
x + y = 49
x = 49 - y
y*(49 - y ) = 490
49y - y^2 = 490
0 = y^2 - 49y + 490
This does factor (oddly). It doesn't look like it, but it does.
(y - 35) (y - 14) = 0
y - 35 = 0
y = 35
y - 14 = 0
y = 14
x = 49 - y
Let y = 14
x = 49 - 14
x = 35
x = 49 - y
let y = 35
x = 49 - 35
y = 14
Solutions
(35,14)
(14,35) Both solutions are valid.
Answer: If P(x<a) = 0.6, then the value of a will be 0.25.
In this type of problem, it is safe to assume the normal distribution unless you are told something different.
In this probability, we have to find the z-score for a that gives a probability of 0.6. You will need a normal distribution chart to do this problem. Just find the probability that is closest to 0.6 and use that z-score.
The area ratio is 1:16 meaning that the old area is 1 while the new area is 16. So this is another way of saying "the area is multiplied by 16"
Take the square root of each part of the ratio of 1:16 and we get 1:4
So this is the scale factor. It tells us how the linear components of the circles relate to one another. If the circumference of the smaller circle is 1,then the larger circle has a circumference of 4.
Therefore, the circumference has been multiplied by 4