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Answer:
Step-by-step explanation:
Given:
Need:
First, let's look at the identities:
sum:
difference:
The question asks to find sin(A - B); therefore, we need to use the difference identity.
Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.
sin(A) =
cos(A) =
sin(B) =
cos(B) =
Plug these values into the difference identity formula.
Multiply.
Add.
This is your answer.
Hope this helps!
Answer:
Mean and Standard deviation for the numbers of girls in groups of 36 births are 18 and 3 respectively.
Step-by-step explanation:
We are given that he X SORT method is designed to increase the likelihood that a baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5.
Now consider a group consisting of 36 couples.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 36 couples
r = number of success
p = probability of success which in our question is probability
of a girl, i.e.; p = 0.5
<em><u>Let X = Numbers of girls in groups of 36 births </u></em>
So, X ~ Binom(n = 36, p = 0.5)
Now, mean for the numbers of girls in groups of 36 births is given by;
<u>Mean</u>, E(X) = =
= 18
Also, standard deviation for the numbers of girls in groups of 36 births is given by;
<u>Standard deviation</u>, S.D.(X) =
=
= 3