Okay add 78 and 66. Then add 96 and 108. It should be 144 by 204. I know math is hard, but when you work at it you can do amazing things! I hope that helps you.
Answer:
answer is b
Step-by-step explanation:
-4x<12
x<12÷-4
x<-3
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
Answer:
![x1](https://tex.z-dn.net/?f=x%3C-%5Cfrac%7B1%7D%7B2%7D%5Ctext%7B%20or%20%7D%20x%3E1)
Step-by-step explanation:
So we have the equation:
![|-4x+1|>3](https://tex.z-dn.net/?f=%7C-4x%2B1%7C%3E3)
First, note that since the sign is greater than, this is an <em>or</em> inequality (not an "and" inequality). This is the student's first mistake.
So, let's solve this inequality.
Case 1:
![-4x+1>3](https://tex.z-dn.net/?f=-4x%2B1%3E3)
Subtract 1 from both sides:
![-4x>2](https://tex.z-dn.net/?f=-4x%3E2)
Divide both sides by -4:
![x](https://tex.z-dn.net/?f=x%3C-%5Cfrac%7B1%7D%7B2%7D)
The student did not flip the sign when doing this step, hence the incorrect answer.
You correctly spotted the student's mistake. Nicely done!
Case 2:
![-4x+1](https://tex.z-dn.net/?f=-4x%2B1%3C-3)
This is what you're missing: for this second instance, we <em>must</em> flip the sign to <em>less than</em> right away. This is because we are essentially multiplying the 3 by a negative. So, we must flip the sign in order to be correct.
Now solve. Subtract 1 from both sides:
![-4x](https://tex.z-dn.net/?f=-4x%3C-4)
Divide both sides by -4. Since we're dividing by a negative, flip the sign:
![x>1](https://tex.z-dn.net/?f=x%3E1)
So, our solutions are:
![x1](https://tex.z-dn.net/?f=x%3C-%5Cfrac%7B1%7D%7B2%7D%2C%20x%3E1)
As mentioned previously, this is an <em>or</em> inequality. Therefore, our final answer is:
![x1](https://tex.z-dn.net/?f=x%3C-%5Cfrac%7B1%7D%7B2%7D%5Ctext%7B%20or%20%7D%20x%3E1)
Edit: Improved Answer
Answer:
25 is the answer , youre looking for the rate of change
Step-by-step explanation: