According to a survey of college students, the use of social media varies widely according to age. Based on the survey, what is
the approximate probability that a non-social media user is an older student aged 28and up? a.31 b.46 c.65 d.69
1 answer:
Answer:
C. 65
Step-by-step explanation:
The table which shows the results of the survey are attached below.
From the table:
- Total Number of non-social media users = 71
- Number of non-social media user aged 28 and up = 46
Therefore, the probability that a non-social media user is an older student aged 28 and up
The probability that a non-social media user is an older student aged 28 and up is 65%.
<u>The correct option is C. </u>
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√(<em>x</em> ² - 4) = 1
<em>x</em> ² - 4 = 1
<em>x</em> ² = 5
<em>x</em> = ±√5
We're looking at <em>x </em>≤ 0, so we take the negative square root, <em>x</em> = -√5.
This means <em>f</em> (-√5) = 1, or in terms of the inverse of <em>f</em>, we have <em>f</em> ⁻¹(1) = -√5.
Now apply the inverse function theorem:
If <em>f(a)</em> = <em>b</em>, then (<em>f</em> ⁻¹)'(<em>b</em>) = 1 / <em>f '(a)</em>.
We have
<em>f(x)</em> = √(<em>x</em> ² - 4) → <em>f '(x)</em> = <em>x</em> / √(<em>x</em> ² - 4)
So if <em>a</em> = -√5 and <em>b</em> = 1, we get
(<em>f</em> ⁻¹)'(1) = 1 / <em>f '</em> (-√5)
(<em>f</em> ⁻¹)'(1) = √((-√5)² - 4) / (-√5) = -1/√5
The sign must be negative; see the attached plot, and take note of the negatively-sloped tangent line to the inverse of <em>f</em> at <em>x</em> = 1.
Hope this helps !
Answer circled on green
Answer circled on green