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ki77a [65]
3 years ago
14

What is the area of the shaded triangle? answers are A) 54 B) 42 C) 27 D) 21

Mathematics
2 answers:
Marina CMI [18]3 years ago
7 0

Answer:

D) 21

Step-by-step explanation:

The formula for finding the area of a triangle is A = 1/2 B x H. So, A = 1/2 (7)(6).

A = 1/2 (42)

A = 21.

So the area of the shaded region is 21 square units.

s344n2d4d5 [400]3 years ago
4 0

Answer:21

Step-by-step explanation:

area of shaded part=area of big triangle - area of small triangle

area of shaded part=(9x6)/2 - (2x6)/2

Area of shaded part=54/2 - 12/2

Area of shaded part=27-6

Area of shaded part=21

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2 years ago
A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting
s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

12 resistors, which means that N = 12

3 defective, which means that k = 3

4 are selected, which means that n = 4

To find an specific probability, that is, of x defectives:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}

7 0
3 years ago
1.What basic trigonometric identity would you use to verify that cot x sin x = cos x? . .
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(cos x / sin x) * sin x = cos x 
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