Find the missing value in the picture?

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

5 0

Answer:

AC=13.6

Step-by-step explanation:

let the triangle is ABC

radius =6 , diameter =6*2=12

therefore AB=12

since BC is a tangent

therefore angle B =90 degrees

BC=6.4

$\sqrt (AB)^2+(BC)^2 =AC$

AC=13.6

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Two factories I and II produce phones for brand ABC. Factory I produces 60% of all ABC phones, and factory II produces 40%. 10%

denpristay [2]

Answer:

0.3721 or 37.21%

Step-by-step explanation:

P(I) = 0.60; P(II) = 0.40;

P(not defective I) = 0.90; P(not defective II) = 0.80

The probability that the phone came from factory II, given that is not defective, is determined by the probability of a phone from factory II not being defective divided by the probability of a phone not being defective.

$P(II|not) = \frac{P(II)*P(not_{II})}{P(II)*P(not_{II})+P(I)*P(not_{I})}\\P(II|not) = \frac{0.40*0.80}{0.40*0.80+0.60*0.90}\\ P(II|not) =0.3721 = 37.21\%$