<h3>
Answer: Choice A) 3/40</h3>
Check out the diagram below. I have labeled the marbles 1 through 20 to help count out them easily.
We have 3 blue marbles out of 20 total. The probability of selecting blue is 3/20.
If we put the first selection back, then we will still have 20 marbles overall. The are 10 green marbles out of 20 so the probability of getting green is 10/20 = 1/2
Multiply the probabilities 3/20 and 1/2 to get (3/20)*(1/2) = (3*1)/(20*2) = 3/40
<span>1. Quizzes (10% each):
60 x 10/100 = 6
69 x 10/100 = 6.9
68 x 10/100 = 6.8
2. Exam (70%)
65 x 70/100 = 45.5
Add them all up now:
6 + 6.9 + 6.8 + 45.5 = 65.2
Therefore, answer is </span><span>65.2</span>
Answer:
y=5x+17
Step-by-step explanation:
perpendicular slope is 5
y-7=5(x+2) convert this equation into slope intercept and that's your answer
The rate of change of the linear function is
.
<u>Step-by-step explanation:</u>
To find the rate of change for the given function, we have to do some reverse operations. We have to rewrite the equation in the form of y = mx+ b where m is the slope or rate of change of the given function and b is the y - intercept for the given function. Now we have to rewrite the equation as,
9x - 2y = -10
Adding -9x on both sides, we will get,
9x-9x -2y = -10 -9x
On LHS, 9x gets cancelled.
-2y = -9x-10
Then dividing both sides of the equation by -2, we will get,
y = ![$\frac{-9x}{-2} +\frac{-10}{-2}](https://tex.z-dn.net/?f=%24%5Cfrac%7B-9x%7D%7B-2%7D%20%2B%5Cfrac%7B-10%7D%7B-2%7D)
y = ![$\frac{9x}{2} +5](https://tex.z-dn.net/?f=%24%5Cfrac%7B9x%7D%7B2%7D%20%2B5)
So the rate of change is
.