If x is a rational number and y is a repeating decimal, which statement describes the sum of x and y?

g Suppose a factory production line uses 3 machines, A, B, and C for making bolts. The total output from the line is distributed

Vladimir [108]

Answer:

The probability that it came from A, given that is defective is 0.362.

Step-by-step explanation:

Define the events:

A: The element comes from A.

B: The element comes from B.

C: The element comes from C.

D: The elemens is defective.

We are given that P(A) = 0.25, P(B) = 0.35, P(C) = 0.4. Recall that since the element comes from only one of the machines, if an element is defective, it comes either from A, B or C. Using the probability axioms, we can calculate that

$P(D) = P(A\cap D) + P(B\cap D) + P(C\cap D)$

Recall that given events E,F the conditional probability of E given F is defined as

$P(E|F) = \frac{P(E\cap F)}{P(F)}$ , from where we deduce that

$P(E\cap F) = P(E|F)P(F)$ .

We are given that given that the element is from A, the probability of being defective is 5%. That is P(D|A) =0.05. Using the previous analysis we get that

$P(D) = P(A)P(D|A)+P(B) P(D|B) + P(C)P(D|C) = 0.05\cdot 0.25+0.04\cdot 0.35+0.02\cdot 0.4 = 0.0345$

We are told to calculate P(A|D), then using the formulas we have

$P(A|D) = \frac{P(A\cap D)}{P(D)}= \frac{P(D|A)P(A)}{P(D)}= \frac{0.05\cdot 0.25}{0.0345}= 0.36231884$

3 0

3 years ago

16-2n-5+8n=65 Can you help me solve this please and show work as well?

lukranit [14]

∙•❁ Okay time to solve this Step-By-Step.❁•∙ 

16−2n−5+8n=65

∙•❁ So the first part we need to Simplify both sides of this equation, so:

16−2n−5+8n=65

∙•❁ We are going to simplify this Step-By-Step.

16−2n−5+8n=65

16+−2n+−5+8n=65

∙•❁ Combine like terms:

(−2n+8n)+(16+−5)=65 

6n+11=65

6n+11=65

∙•❁ Now subtract 11 from both sides.

6n+11−11=65−11

6n=54

∙•❁ Now divide both sides by 6 and you'll get your answer:

6n/6=54/6

∙•❁ Your final answer is:

n=9

∙•❁I hope this helps!❁•∙

8 0

3 years ago

Read 2 more answers

the scale on a map se oanchows 5 centimeters equals 2 kilometers what nuumber of centimeters on the map represents an actual dis

Igoryamba

12.5 cm equals 5 km.

8 0

3 years ago

The value of y varies directly with x, and y=10 when x=4. Find x when y=14.

damaskus [11]

$y=10\ \ \ and\ \ \ x=4\\\\
y=14\ \ \ and\ \ \ x=?\\\\
Making\ ratio:\\
10-4\\14-x\\\\
Cross\ multiplication:\\
10x=4*14\\
10x=56\ \ \ |Divide\ by\ 10\\x=5,6\\\\solution\ is\ x=5,6.$

5 0

3 years ago

Alicia already spent $8.25 of her paycheck. If this was 15% of her paycheck, how much was she paid?

faust18 [17]

Answer:

She was paid $55.

Step-by-step explanation:

15%=0.15

8.25/0.15=55

8 0

2 years ago