All categories

3 years ago

Find the largest whole number which is a factor of both 42 and 98

Mathematics

1 answer:

LuckyWell [14K]3 years ago

5 0

Answer:

Step-by-step explanation:

hope this helps

You might be interested in

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

What is a first step to isolate the variable ?btw it’s for iready lol

kirza4 [7]

Answer:

The first step would be to multiply 2x - 1 by 6, which would be 12x - 6 .

5 0

2 years ago

Read 2 more answers

Which relationship in the triangle must be true?

Paul [167]

We'll assume this is an arbitrary triangle ABC.

A) No, the sines of two different angles can be whatever they want

B) sin(B)=cos(90-B)

Yes, that's always true. The "co" in cosine means "complementary" as in the complementary angle, which adds to 90. So the sine of an angle is the cosine of the complementary angle.

C) No, the correct identity is sin(180-B)=sin B. Supplementary angles share the same sine.

D) Just like A, different triangle angles often have different cosines.

Answer: Choice B

7 0

3 years ago

Turn this into numerical form -> one-half the sum of x and 12 Thank you!

ycow [4]

Answer: 1/2(x+12)

Step-by-step explanation: Sum is adding.

3 0

3 years ago

Write an equation of a line that is perpendicular to y=2x-3 and has a y intercept of 10

AnnyKZ [126]

The slope of a line that is perpendicular to another line is the negative reciprocal of the other.

In this case, we know that the slope of the given equation is 2.

Since we're solving for a line perpendicular to it, we simply find the reciprocal of the 2 (It turns into 1/2) and make it negative.

y = -1/2x + b

Since the given states that the new y-intercept is 10, input it into 'b'.

y = -1/2x + 10

If you'd like me to explain anything I did here, just ask :)
-T.B.

4 0

3 years ago