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.
Answer:
Step-by-step explanation:
So, when we dilate a triangle, it affects side measures.
So let's find it!


So, the sides of our new triangle is 4 and 12.
Let's find the area!

So, it is the first option! Hope this helps!
P.S. Stay Safe
3/4 = 0.75
2/5 = 0.4
0.4 < 0.75
Therefore,
2/5 < 3/4
Here's how you simplify those. The rule for raising an exponent to an exponent is that you multiply them. The rule for dividing exponents with the same base is that you subtract the denomonator from the numerator. So let's simplify the first one, which is actually the most confusing.

Multiplying the exponents you get:

Subtracting the denominator from the numerator between the common base of p you get this:

Doing that math gives you

which equals

which is

, or the third one down.
The next one:

simplifies to:

and subtracting the power of the denominator from the power of the numerator gives you:

, which is the last choice.

simplifies to:

which simplifies very nicely to:

, which is the first choice. The other one is found by process of elimination!