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aev [14]
4 years ago
9

A right triangle has a height of 12 and a width of 5. How long is the diagonal?

Mathematics
2 answers:
Dafna1 [17]4 years ago
7 0
Using Pythagoras:

12^2+5^2= 144+25=169

√169= 13
Artemon [7]4 years ago
5 0
The answer would be 13
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In a factory there are 100100 units of a certain product, 55 of which are defective. We pick three units from the 100 units at r
Nadya [2.5K]

Answer:

There is a 33.67% probability that exactly one of them is defective.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Here, we can have different formats. For example, D-ND-ND is the same as ND-D-ND, that is, the ordering is not important. So we use the combinations formula.

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)!}

Desired outcomes

One defective(one from a set of 55) and two non defective(two from a set of 45). So

D = C_{55,1}*C_{45,2} = \frac{55!}{54!1}*\frac{45!}{43!2!} = 55*45*22 = 54450

Total outcomes

Three from a set of 100. So

T = C_{100,3} = \frac{100!}{97!3!} = 161700

What is the probability that exactly one of them is defective

P = \frac{D}{T} = \frac{54450}{161700} = 0.3367

There is a 33.67% probability that exactly one of them is defective.

4 0
3 years ago
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