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nadezda [96]
3 years ago
14

Simplify (3x + 5) + (2x - 9) - (4x + 3). x - 7 -x - 7 -9x - 1 9x - 1

Mathematics
1 answer:
Lyrx [107]3 years ago
4 0
Hi Grant.

(3x + 5) + (2x - 9) is what we'll start with. Considering we cannot combine variables with numbers, we can only combine like-terms.

3x + 2x; 5 - 9; we result with: 5x - 4

Now, we are left with (5x - 4) - (4x + 3)
Remember to distribute the negative sign to everything to the right.

(5x - 4) - 4x - 3. We are now able to simplify and solve for our answer.

5x - 4x; -4 - 3; we result with x - 7.

Your answer is A.) x - 7.

I hope this helps!
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Answer:

The probability that a call last between 4.2 and 4.9 minutes is 0.4599

Step-by-step explanation:

Let X be the length in minutes of a random phone call. X is a normal distribution with mean λ=4.2 and standard deviation σ=0.4. We want to know P(4.2 < X < 4.9). In order to make computations, we will use W, the standarization of X, given by the following formula

W = \frac{X-\mu}{\sigma} = \frac{X-4.2}{0.4}

We will use \phi , the cummulative distribution function of W. The values of \phi are well known and the can be found in the attached file

P(4.2 < X < 4.9) = P(\frac{4.2-4.2}{0.4} < \frac{X-4.2}{0.4} < \frac{4.9-4.2}{0.4}) = P(0 < W < 1.75) = \\ \phi(1.75) - \phi(0) = 0.9599-0.5 = 0.4599

We conclude that the probability that a call last between 4.2 and 4.9 minutes is 0.4599

Download pdf
7 0
3 years ago
Given that events A and B are mutually exclusive, i.e., A?B = ? and P(A?B) =0, and that P(A)=0.7 and P(B)=0.2, find P(A or B).
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Answer:

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