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Svetllana [295]
3 years ago
11

The length of a text messaging conversation is normally distributed with a mean of 2 minutes and a standard deviation of .5 minu

tes. What is the probability that a conversation lasts longer than 3 minutes?
0.043351
0.063748
0.02275
0.095424
Mathematics
1 answer:
Phoenix [80]3 years ago
6 0
Let x be a random variable representing the length of a text messaging conversation, then
P(x > 3) = 1 - P(x < 3) = 1 - P(z < (3 - 2)/0.5) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275
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Polynomials are equations that uses variables and several terms

The polynomial in standard form is f(x) = x^2 - x -20

<h3>How to determine the polynomial</h3>

The polynomial has 2 zeros.

So, the form of the polynomial is:

f(x) = a(x - x1)(x - x2)

The zeros of the polynomial are 5 and -4.

So, the equation becomes

f(x) = a(x - 5)(x + 4)

The value of a = 1.

So, we have;

f(x) = 1(x - 5)(x + 4)

This gives

f(x) = (x - 5)(x + 4)

Expand

f(x) = x^2 - x -20

Hence, the polynomial in standard form is f(x) = x^2 - x -20

Read more about polynomials at:

brainly.com/question/2833285

7 0
3 years ago
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Step-by-step explanation:

\sqrt{1-3x}=x+3\\\\1-3x=x^2+6x+9 \qquad\text{square both sides}\\\\x^2+9x+8=0 \qquad\text{put in standard form}\\\\(x+8)(x+1)=0 \qquad\text{factor}\\\\\left \{ {{x=-8} \atop {x=-1}} \right. \qquad\text{values that make the factors zero}

Only the solution x = -1 will work for this equation. The other solution is extraneous.

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pogonyaev
-7 + 4 = -3 is one possibility.

-7 - (-4) = 3 is another possibility.

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#$# HOPE YOU UNDERSTAND #$#

#$¥ THANK YOU ¥$#

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