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3 years ago

The tendency of an object in motion to stay in motion or an object at rest to stay at rest is called _____.

Mathematics

2 answers:

nevsk [136]3 years ago

4 0

Answer:

Step-by-step explanation:

momentum

True [87]3 years ago

3 0

The answer is momentum

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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

Marcel made an error when he used the distributive property to write an equivalent

natima [27]

Answer: Upper left corner

Explanation:

The error happens in step 2. Notice that x is not part of the second term 16, so there's no way to factor x from it unless you want a fraction to result.

The second step should be 8(4x-2)

Another way to factor is to say 16(2x-1)

5 0

2 years ago

the blue lake trail is 11 3/8 miles long. gemma has hiked 2 1/2 miles each hour for 3 hours. how far is she from the end?

lisov135 [29]

2 4/8 x 3 = 7 4/8
11 3/8 - 7 4/8 = 3 7/8 miles from the end

8 0

3 years ago

R - 31 b ÷ 3 2 + x\8 21d + 14 I need help. please, I don't understand

lawyer [7]

You cant solve these if they are not equating up to something hence incomplete question.

3 0

3 years ago

For f(x) = 4x+1 and g(x) = x^2 -5, find (f-g)(x)

d1i1m1o1n [39]

Answer:

(f-g)(x) is given by -x^2+4x+6

Step-by-step explanation:

4 0

2 years ago