My maths problems is it right not sure if I did it right. Thanks

A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five

exis [7]

Answer:

$\dfrac{14}{29}$

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

P(E) be the probability that a goggle is returned within 10 days of its purchase.

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.

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

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

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

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

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

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 $\dfrac{14}{29}.$

7 0

3 years ago

Mrs. Jackson earned a 500 bonus for signing a one-year contract to work as a nurse. Her salary is 22 per hour. If her first week

jekas [21]

Ok so your first step is to make this an equation
she gets paid x amount per hour and she works for 22 hours
so 22x plus her bonus
22x + 500 =1204
so now solve the equation
subtract both sides by 500
22x +500 =1204
-500 = -500
to get
22x = 704
now divide both sides by 22
x = 32
mrs jackson worked 32 hours to get her pay check

7 0

2 years ago

Urgent help! Simplify (x − 4)(4x^2 + x − 6).

m_a_m_a [10]

Answer:

2X-1

Step-by-step explanation:

as far as i got

6 0

2 years ago

1) reflection across y = x y W U х

Romashka-Z-Leto [24]