Answer:
Thank you! I really needed this! I've been really stressed lately, and my parents are in the middle of getting a divorce so it's nice to see positive things like this. Thanks!! (:
Step-by-step explanation:
Answer:
<h2>-6</h2>
Step-by-step explanation:
![\text{The average rate of change of function}\ f(x)\\\text{over the interval}\ a\leq x\leq b\ \text{is given by this expression:}\\\dfrac{f(b)-f(a)}{b-a}\\\\f(x)=2x^2-7x\\\\\text{Put the values of x = 2 and x = 6 to the equation of the function:}\\\\f(2)=2(2^2)-7(2)=2(4)-14=8-14=-6\\f(6)=2(6^2)-7(6)=2(36)-42=72-42=-30\\\\\dfrac{f(6)-f(2)}{6-2}=\dfrac{-30-(-6)}{4}=\dfrac{-24}{4}=-6](https://tex.z-dn.net/?f=%5Ctext%7BThe%20average%20rate%20of%20change%20of%20function%7D%5C%20f%28x%29%5C%5C%5Ctext%7Bover%20the%20interval%7D%5C%20a%5Cleq%20x%5Cleq%20b%5C%20%5Ctext%7Bis%20given%20by%20this%20expression%3A%7D%5C%5C%5Cdfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D%5C%5C%5C%5Cf%28x%29%3D2x%5E2-7x%5C%5C%5C%5C%5Ctext%7BPut%20the%20values%20of%20x%20%3D%202%20and%20x%20%3D%206%20to%20the%20equation%20of%20the%20function%3A%7D%5C%5C%5C%5Cf%282%29%3D2%282%5E2%29-7%282%29%3D2%284%29-14%3D8-14%3D-6%5C%5Cf%286%29%3D2%286%5E2%29-7%286%29%3D2%2836%29-42%3D72-42%3D-30%5C%5C%5C%5C%5Cdfrac%7Bf%286%29-f%282%29%7D%7B6-2%7D%3D%5Cdfrac%7B-30-%28-6%29%7D%7B4%7D%3D%5Cdfrac%7B-24%7D%7B4%7D%3D-6)
I probably might think it’s C..
Answer:
Probability that a gym member does not take weight-loss medication = 0.63
Step-by-step explanation:
Let E be the event of choosing a gym member who drank protein shakes and W be the event of choosing a gym member who took weight loss medication.
Probability that a gym member drank protein shakes = P(E) = 0.9
Probability that a gym member does not drink protein shakes = P(not E) = 0.1
E and W are independent events.
By using Bayes Theorem, P(E and W) = P(E)*P(W)
Probability that a gym member drank protein shakes and took weight loss medication = P(E and W) = 0.3*0.9 = 0.27
Probability that a gym member took weight-loss medication = P(W) = 0.1 + 0.27 = 0.37
(10% of members who did not drink protein shakes took weight-loss medication)
Therefore, Probability that a gym member does not take weight loss medication = P(not W) = 1 - 0.37 = 0.63