The answer is d. angles 8 and 16
Answer:
a. The empirical rule.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
So the correct answer is:
a. The empirical rule.
Answer:
There is a 81.86% probability that the obstetrician has delivered no child with polydactyly.
Step-by-step explanation:
There are only two possible outcomes: Either the baby has the anormality, or he hasn't. So we use the binomial probability distribution.
Binomial probability
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And
is the probability of X happening.
In this problem, we have that:
It is reported in about one child in every 500, so
.
A young obstetrician celebrates her first 100 deliveries, so 
What is the probability that the obstetrician has delivered no child with polydactyly?
That is P(X = 0)


There is a 81.86% probability that the obstetrician has delivered no child with polydactyly.
Answer:

Step-by-step explanation:
The recursion is as follows:

and unrolling the first few examples:

Answer:
The number that belongs in the green P' = ([?], [ ]) with P' = (7, -8) box is;
7
Step-by-step explanation:
The coordinate of the given point 'P' is P = (3, -5)
The preimage of (x, y) after the translation,
= (x-coordinate + 4, y-coordinate - 3)
Therefore, the translation,
= T₍₄, ₋₃₎
Therefore, we have;
Preimage P(3, -5) under the translation T₍₄, ₋₃₎ gives the image P' as follows
P(3, -5)
P'(3 + 4, -5 - 3) = P'(7, -8)
Therefore, the number that belongs in the green box is the x-coordinate value of the point P'(7, -8) which is seven.