Answer:
Step-by-step explanation:
Every time the line moves 5 units to the right, it moves up 4 units as well. Since the slope is the difference in y divided by the difference in x, the slope is 4/5. In addition, the y-intercept is -1. Therefore, the equation of this line is .
Answer:
D) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6.
Step-by-step explanation:
The Number of boxes = 6
Box containing a prize = 1
Probability of success, p = box containing a price / number of boxes = 1 /6
Number of trials = 5
Probability of success on exactly 2 trials, r = 2
Hence,
P(r = 2) = nCr * p^r * (1-p)^(n-r)
n = 5 ; r = 2 ; p = 1/6
Using a binomial probability calculator :
P(r = 2) = 0.1608
Answer:
4x - 2
Step-by-step explanation:
(2(3x-2))+(-2(x-1))
2(3x-2)-2(x-1)
2(3x-2-(x-1))
2(3x-2-<u>x</u><u>+</u><u>1</u><u>)</u>
<u>2</u><u>(</u><u>2x-1</u><u>)</u>
<u>4x-2</u>
9514 1404 393
Answer:
A: 8x +24
B: not equivalent for any value of x
Step-by-step explanation:
<u>Part A</u>:
The factor of 4 on the outside of parentheses multiplies each term inside:
M = 4(2x) +4(6)
M = 8x +24 . . . . . expression equivalent to M
__
<u>Part B</u>:
Expressions M and N are not equivalent for any value of x. They are equivalent if their difference is zero or can be made to be zero. Subtracting N from M, we find the difference to be ...
M -N = (8x +24) -(8x +10) = 14
There is no value of x that will make the difference of 14 become zero.
