9/10 - _ = 1/5 mathematics
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<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>
and
Recall that Angles that are complementary to each other add up to .
Let be the measure of the complementary angle.
If an angle is more than its complementary angle, the measure of that angle is
. The sum of both angles are expressed
but since the have to add to
as they are complementary,
.
Solving for :
Since the other angle measures , we can plug in the value of
to find the measure of the angle.
Evaluating :
The measure of the angles are and
Answer:
The probability is 0.995 ( approx ).
Step-by-step explanation:
Let X represents the event of baby girl,
The probability of a baby being a girl is, p = 0.469,
So, the probability of a baby who is not a girl is, q = 1 - 0.469 = 0.531,
Also, the total number of experiment, n = 7
Thus, by the binomial distribution formula,
Where,
The probability that all babies are girl or there is no baby boy,
Hence, the probability that at least one of them is a boy = 1 - P(X=7)
= 1 - 0.00499125661758
= 0.995008743382
≈ 0.995