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3 years ago

Y = -5x + 24 y = 4x - 21

2 answers:

3 0

Hello!

You can put y into one of the equations

4x - 21 = -5x + 24

Add 5x to both sides

9x - 21 = 24

Add 21 to both sides

9x = 45

Divide both sides by 9

x = 5

You can now put x into one of the original equations

y = 4(5) - 21

y = 20 - 21

y = -1

The answer are x = 5 and y = -1

Hope this helps!

aliya0001 [1]3 years ago

3 0

X=5
Y=-1
IM PRETTY SURE

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3 years ago

Goranson and Hall (1980) explain that the probability of detecting a crack in an airplane wing is the product of p1, the probabi

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Answer:

a. The multiplication of these probabilities is justified because the inspections are isolated or don't have the same goal. For instance p1, would mean that not all the planes are checked, p2 that not all the parts in the plane are checked, and p3, that even if the the part where the crack could be inspected, people checking it could not notice it or it could be not identified easily.

b. As the events are independent and there are only two possible answers (detect the plane or not), a binomial distribution could be applied, therefore:

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n=3 (number of possibilities, in this case number of planes)

The probability in a binomial formula is given by

$P(X=x)=\frac{n!}{(n-x)!x!}*p^{x}*(1-p)^{n-x}$

Considering that the only possibility that is not being asked is the one of not detecting any crack which would mean x=0, then, we could find the probability as

$P(X\geq 1)$ =1- $P(X=0)$

$P(X\geq 1)=1-P(X=0)=1-\frac{3!}{3!0!} *0.36^{0} *0.64^{3} =0.737856$

Probability is then 0.737856

Step-by-step explanation:

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