Answer:
Step-by-step explanation:
Th average rate of change is the slope of the secant line that goes through those 2 values of x. Of course, each value of x also has a value of y. The coordinates for these combinations of x's and y's are:
(-1, 5) and (4, 0). We can use the slope formula to find the average rate of change of this function without having to know what the function's equation is:
So the average rate of change, aka slope, between those 2 points is -1
Answer: 4
Step-by-step explanation:
Given the following :
P = probability of success = 0.5
n = number of trials = 8
The expected value of a binomial distribution with probability of success P and number of trials n is defined by:
E(n, p) = n * p
Therefore, expected value when P = 0.5 and n = 8
E(8, 0.5) = 8 × 0.5
= 4
The expected value of the binomial distribution is 4
My guess is that you're doing the Law of Cosines? You have everything you need for that except the angle theta, which is the thing you need to find. It's set up like this: (8)^2 = (10)^2 + (5)^2 -[2(10)(5)cos A] I used A instead of theta. Doing that math, you have: 64 = 100 + 25 -[ 100 cos A]; 64 = 125 - 100 cos A;
-61 = - 100 cos A; -61 / -100 = cos A; .61 = cos A. Now use your inverse function on your calculator to find cos^-1(.61) and that equals 52.4
original quantity : 10 for $1
new quantity: 4 for $1
now we have to find each percent change
10-4=6
6÷100=0.06
0.06=6%
the quantity went down 6%
