Answer:
-5/6
Step-by-step explanation:
(25/4)^(3x) = 32/3125
Rewrite as powers of 2 and 5:
(5²/2²)^(3x) = 2⁵/5⁵
Rewrite the left side as the inverse:
(2²/5²)^(-3x) = 2⁵/5⁵
Solve for the exponent:
-3x = 5/2
Solve for x:
x = -5/6
Answer: either B or D
Step-by-step explanation:
0.69 or 0.61
Answer:
<u></u>
Explanation:
The question is incomplete. The complete question is:
<em>A bag contains 6 red jelly beans, 4 green jelly beans, and 4 blue jelly beans.</em>
<em />
<em>If we choose a jelly bean, then another jelly bean without putting the first one back in the bag, what is the probability that the first jelly bean will be green and the second will be red? </em>
<em />
<h2><em>Solution</em></h2>
<em />
<em>The probability that the first jelly bean will be green</em> is the number of green jelly beans divided by the total number of jelly beans:
After chosing the first green jelly bean, there will be 13 jelly beans, from which 6 are red. Thus, <em>the probability that the second jelly bean will be red </em>is:
The probability of the joint events is the product of the two consecutive events:
- (4/14) × (6/13) =12/91 ← answer
<em />
Answer: <span>C) The slope of the line of best fit would increase because the point lies below the original line of best fit.
The line of best fit is a line that best represents the data in a scatterplot. When you draw a line of best fit, you want it to roughly "balance out" the points above and below it on the scatter plot, making sure the points are distributed evenly.
It's easiest to visualize what a point above or beneath the graph would do. A point underneath that line would be "pulling the line down," so it would be decreasing the slope (making the line more horizontal). A point above the line would be "pulling the line up," so it would be increasing the slope.
1) Figure out where (15, 7) is in relation to the line of best fit. Plug x=15 into </span><span>y = 0.5x + 1.5 to find where the line is when x=15:
</span>
![y = 0.5x + 1.5\\ y = 0.5(15) + 1.5\\ y = 9](https://tex.z-dn.net/?f=y%20%3D%200.5x%20%2B%201.5%5C%5C%0Ay%20%3D%200.5%2815%29%20%2B%201.5%5C%5C%0Ay%20%3D%209)
<span>
That means (15, 7) is under the line, since y=7 at x=15 for the point, but y=9 for the graph.
2) Since (15, 7) is under the line, you can imagine it to be "pulling the line of best fit down" and decreasing the slope. If it's removed then the line would become steeper (aka larger slope), making c the answer.
</span><span>---
Answer: C) The slope of the line of best fit would increase because the point lies below the original line of best fit. </span>