Answer:
p(4 successes) ≈ 7.7%
Step-by-step explanation:
p(k successes in n trials) = C(n,k)·p^k·(1-p)^(n-k)
You have n=5, k=4, p=0.4, so the probability is ...
p(4 successes) = C(5,4)·(0.4)^4·(1 -0.4)^1 = 5·0.4^4·0.6 = 0.0768
p(4 successes) ≈ 7.7%
Answer:

Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:

Here, the opposite leg to angle B is the side CA=2, and the hypotenuse is the side AB=3, thus:

Calculating the inverse sine function:


It takes about 4 days for the temperature to decrease by 9°F.
An equation is an expression that shows the relationship between two or more variables or numbers.
Let x represent the number of days. Given that the temperature drop decreased by 1 1/2°F each day (- 1 1/2), for it to decrease by 9°F (-9):
-1 1/2 * x = -9
-1.5x = - 9
x = 4 days
It takes about 4 days for the temperature to decrease by 9°F.
Your answer would be 45
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