For 200 births, the probability of exactly 90 girls is 0.0208 and the probability of 90 or fewer girls is 0.089. • is exactly 90 girls in 200 births unlikely? • among 200 births, is 90 girls an unusually low number of girls?

The likelihood of exactly 90 girls in 200 births is 0.0208. Since this probability is lower than 0.05, this is an unlikely event. To see whether 90 girls is an unusually low number of girls, we need to think about the probability of having 90 or fewer girls. Since P(90 or fewer girls) = 0.089>0.05, this is not an unusually low number of girls.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

you ignore the remainder, therefore the answer is y = x+2

step-by-step explanation:

you have to divide the denominator by the numerator. you can use synthetic division or long division.

[-5] .     1 .     7 .     11

x + 2 + 1/x+5