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Iteru [2.4K]
2 years ago
9

Which of the following sets of numbers could represent side lengths of a right triangle?

Mathematics
1 answer:
yawa3891 [41]2 years ago
6 0

Answer:

6m,8m,10m

Step-by-step explanation:

6m,8m,10m represent side lengths of a right triangle.

Proof :

for right angled triangle,

p^2 + b^2 = h ^ 2

6^2 + 8^2 = 10^2

36 + 64 = 100

100= 100{True}

<u>proved</u>

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Answer:

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Step-by-step explanation:

d(n) = 4n + 2

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A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are
IRINA_888 [86]

Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

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This means that p = 0.05

If two items are randomly selected as they come off the production line, what is the probability that both are defective

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025

0.0025 = 0.25% probability that both are defective

4 0
3 years ago
In a sale there is 25% off all prices a bed costs £33 how much was it before the sale ?
Troyanec [42]
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