The answer is C. The n/100 is because percentages are out of 100. The 125/85 represents what percent of last year’s gift this year’s gift is.
Answer:
0.267
Step-by-step explanation:
This can be solved using the binomial probability formula which is:

Where
n is total number of trials (here, the total number of questions is 8, so n = 8)
k is the number of attempts we are looking for (here, we want to find probability of 1 question correct, so k = 1)
p is the probability of success (here, success is getting a questions right. Since there are 4 choices and 1 is right, probability of right = 1/4)
<em>Plugging all the info into the formula we get:</em>
<em>
</em>
<em />
<em>Second choice is right.</em>
Answer: 1- function 1 has the greater rate of change but function 2 has the greater y-intercept
Step-by-step explanation:
We know that function 1 is:
y = f₁(x) = 0.75*x - 1
And for the second linear equation we can see that it passes through the points (-3, -1) and (0,1)
Then the slope is:
a = (1 - (-1))/(0 - (-3)) = 2/3
then the equation is something like:
y = f₂(x) = (2/3)*x + b
To find the value of b, we use the fact that when x = 0, we have y = 1.
Then:
1 = (2/3)*0 + b
1 = b
Then the equation for function 2 is:
f₂(x) = (2/3)*x + 1
So the two equations are:
f₁(x) = 0.75*x - 1
f₂(x) = (2/3)*x + 1
Where we can see that function 1 has a greater slope (rate of change) and function two has a greater y-intercept.
Then the correct option is
(1- function 1 has the greater rate of change but function 2 has the greater y-intercept)
Midpoint means 1/2 way
separate the x's and the y's find the middle of the x length, middle of the y length
x: 5 - 3 = 2 1/2 of 2 = 1 from either end (3 + 1) or (5-1) = 4
y: 3-(-5) = 8 1/2 of 8 = 4 from either end (3-4) or (-5 +4) = -1
midpoint is therefore (4, -1)