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svlad2 [7]
2 years ago
12

Select the correct answer.

Mathematics
2 answers:
Zielflug [23.3K]2 years ago
8 0

The value of the y-intercept of the line y = -3x - 2 is the negative 2. Then the correct option is B.

<h3>What is the equation of line?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The equation of the line is given below.

f(x) = -3x - 2

On comparing, we have

m = -3 and c = -2

Then the value of the y-intercept of the given line is the negative 2.

Then the correct option is B.

More about the equation of line link is given below.

brainly.com/question/21511618

#SPJ1

Nana76 [90]2 years ago
5 0

Answer:

  C.  1

Step-by-step explanation:

You are asked for the y-intercept of the piecewise-defined function f(x). That will be the value of f(0).

__

<h3>function definition</h3>

We assume you intend the function definition to be ...

  f(x)=\begin{cases}-3x-2&\text{for }-\infty < x < -2\\-x+1&\text{for }-2\le x < 3\\2x+5&\text{for }3\le x < \infty\end{cases}

<h3>y-intercept</h3>

The first step in evaluating a piecewise-defined function is to identify the applicable domain and corresponding function definition. The value x=0 is included in the domain -2 ≤ x < 3, so the second part of the function applies.

  f(0) = -0 +1 = 1

The y-intercept of function f is 1.

_____

Attached is a graph of the function showing its y-intercept.

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There is some inforrmation that is missing in this question. It should read:

<span><span>A container holds 50 electronic components, of which 10 are defective. If 6 components are drawn at random from the container, the probability that at least 4 are not defective is . If 8 components are drawn at random from the container, the probability that exactly 3 of them are defective is .

</span><u>Answers</u>
<span>Part 1.   0.02
Part 2.  </span></span>0.0375<span><span>

</span><u>Explanation</u>
The probability is a chance of an event happening. It is calculated as;
probability = (Number of favourable outcome)/(Number of available outcome)

Part 1
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P(at least 4 are not defective) = 4/40 </span>× 2/10
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Part 2
8 are chosen at random. If 3 are defective, the 5 are not defective. 
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