A triangle with an area of 202.5 has a height that measures 15 find its base

Mathematics

1 answer:

Papessa [141]2 years ago

8 0

The area = 1/2 * base * height

202.5 = 1/2 * base * 15

measure of the base = 202.5 / (1/2 * 15)

= 27 answer

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Answer:

(a) $P(X=10) = 0.2070$

(b) $P(X\geq 10) = 0.3798$

Step-by-step explanation:

Note that in this problem we have an initial population N = 50, of which 30 fulfill a certain characteristic "m" (belong to the second section). Then, from the population N, a sample of size n = 15 is selected and it is desired to know how many comply with the desired characteristic (second section).

Let X be the number of projects in the second section, then X is a discrete random variable that can be modeled by a hypergeometric distribution.

(a)

Therefore, to answer question (a) we use the following equation presented in the attached image:

Where:

$N = 50\\m = 30\\n = 15\\X = 10$