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emmainna [20.7K]
3 years ago
13

7. What’s the answer to this hurry

Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0

Answer:

Step-by-step explanation:

.125

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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
Look at the image HELP
Whitepunk [10]

Answer:

Option (3)

Step-by-step explanation:

In a right triangle,

Cosine rule → cos(\theta)=\frac{\text{Adjacent side}}{\text{Hypotenuse}}

Sine rule → sin(\theta)=\frac{\text{Opposite side}}{\text{Hypotenuse}}

In the given triangle,

By cosine rule,

cos(h)=\frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(h)=\frac{z}{x}

Or cos(h°) = z ÷ x

Therefore, Option (3) will be the answer.

7 0
3 years ago
Help please ..someone
cupoosta [38]
B is the correct answer. When you see > which mean the line is go to the right side < is go to the left side.
Hope this helps!
7 0
3 years ago
Is it true that for any two nonzero integers the product and quotient have the same sign?
Nataliya [291]
<span>The rule of signs is the same for multiplication and division. Two numbers with the same sign, multiplied or divided, the answer is positive. Two numbers with different signs, multiplied or divided, the answer is negative. </span>
7 0
3 years ago
Given: m∠A = m∠C = 90°<br> AB ║ DC<br> Prove: ∆ABD ≅ ∆CDB<br> 40 points
leonid [27]

Answer:

ABD = CDB

AB is parallel to DC

Step-by-step explanation:

angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters

AB and DC are parellel because they are the same looking lines just on oppisite sides

7 0
2 years ago
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