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3 years ago

Solve using substitution. x+y=-9 and -2x-3y=17

1 answer:

6 0

Answer:
x = -10
y= 1
explanation:
x+y = -9
y = -9 - x
-2x -3 (-9 - x) = 17
-2x +27 +3x = 17
27 + x = 17
x = -10
y = -9 -(-10)
y= -9 + 10
y= 1
(This is just math i did real quick and didnt double check, tell me if its wrong please!)

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exis [7]

Answer:

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Step-by-step explanation:

Let P(A) be the probability that goggle of type A is manufactured

P(B) be the probability that goggle of type B is manufactured

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According to the question,

P(A) = 30%

P(B) = 70%

P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

$P(A \cap E)$ will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

$P(B \cap E)$ will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

$P(E \cap A) = P(A) \times P(E/A)$

$P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%$

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$P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%$

$P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%$

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

$P(B/E) = \dfrac{P(E \cap B)}{P(E)}$

$\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}$

So, the required probability is $\dfrac{14}{29}.$

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4 years ago

Solve using substitution. x+y=-9 and -2x-3y=17​

Solve using substitution. x+y=-9 and -2x-3y=17