1)
for a valid triangle two sides added together have to always be larger than the third
(otherwise it turns into a line)
12, 18, 6 would not be a valid triangle, because 12+6<=18
but 12, 18, 14 would be valid, because
12+18>14
12+14>18
18+14>12
2)lets start with an obvious right triangle and have the axis along the y and x axis like
so decide some x like -4 and some y like -3 and keep all other coordinates at 0:
A=(-4,0) B=(0,-3) and C=(0,0)
make it a bit more complicated (less 0s) by some x and y translation like (-2,3)
just add that to every point's coordinates and you get
A=(-6,3), B=(-2,0), C=(-2,3)
Answer:
Mean = 2.7
In a group of 74090 we would expect about 3 (rounding to nearest whole number) children with the rare form of cancer.
Step-by-step explanation:
We are given that the rate of cancer in children is 37 children in 1 million. So the probability of cancer in a child is P(C) = 0.000037
Poisson distribution is used to approximate the number of cases of diseases and we have to find what will be the mean number of cases for 74,090.
In simple words we have to find the expected number of children with cancer in a group of 74,090 children.
The mean value of expected value can be obtained by multiplying the probability with the sample size. So, in this case multiplying probability of child having a cancer with total group size will give us the expected or mean number of children in the group with cancer.
Mean = E(x) = P(C) * Group size
Mean = 0.000037 x 74090
Mean = 2.7
This means in a group of 74090 we would expect about 3 (rounding to nearest whole number) children with the rare form of cancer.
2(-3)2 -5(4). -12 -20= -32. It's this because you plug -3 and 4 into x and y. Then if you answer it out it equals -32
(10*10) - 8 = 92
the answer is D.92
Answer:
c.28
Step-by-step explanation:
Given
f(x) = 8x + 10 and g(x) = 6x - 4
f(4) = 8*4 + 10
= 32 + 10
= 42
g(3) = 6 * 3 - 4
= 18 - 4
= 14
Now
f(4) - g(3)
= 42 - 14
=28
hope it will help :)
