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3 years ago

Simplify the expression: -2x + 3 - (5-6x)

Mathematics

1 answer:

levacccp [35]3 years ago

8 0

Answer:

4x+3

How: -2x - (-6x) = 4

3 cannot be added there you go

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Find the inclination of the line x - 3y = 9 to the nearest degree

-Dominant- [34]

Inclination = -(-3)/1 = 3/1 = 3

3 0

3 years ago

PLS HELP AAAH I NEED THIS ASAP GIVING BRAINLEST TO CORRECT ANSWER!!!!!!!!!!!

Stels [109]

Answer:

Step-by-step explanation:

They rise upward and to the right, i.e., the both have positive slopes.

They both start from the origin, i.e., their y-intercepts are zero.

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3 years ago

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

<img src="https://tex.z-dn.net/?f=4%28a%20%2B%202%20%29%20-%202%20%28a%20-%203%29" id="TexFormula1" title="4(a + 2 ) - 2 (a - 3)

satela [25.4K]

Answer:

$\large\boxed{2a+14}$

Step-by-step explanation:

$4(a + 2 ) - 2 (a - 3)\qquad\text{use distributive property:}\ a(b+c)=ab+ac\\\\=4a+8-2a-(-6)\qquad\text{combine like terms}\\\\=(4a-2a)+(8+6)\\\\=2a+14$

5 0

3 years ago

What number should be added to the expression x^2 + 6x to change it into a perfect square trinomal

alexandr402 [8]

Hello.

The correct is answer is 9.

You have to do half of 6 (3) and then square it that equals 9

So it should be <span> x^2 + 6x +9

Have a nice day</span>

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3 years ago