Step-by-step explanation:
- (3x-2y) (4x+3y) (8x-5y)
- (3x(4x+3y)-2y(4x+3y))(8x-5y)
- (12x²+9xy-8xy-6y²)(8x-5y)
- (12x²+xy-6y²)(8x-5y)
- 12x²(8x-5y)+xy(8x-5y)-6y²(8x-5y)
- 96x³-60x²y+8x²y-5xy²-48xy²+30y³
- 96x³-52x²y-53xy²+30y³
Answer:
Step-by-step explanation:
16 or more books sold in a day will include two intervals from the given table:
a) 16 - 20 books sold.
Probability = 0.201
b) 21 - 25 books sold.
Probability = ?
Since the table gives the probability distribution, the sum of all the probabilities must be equal to 1. We are given the probabilities of 4 out 5 intervals. So in order to find the probability of the 5th interval (21-25) we can subtract the sum of probabilities of rest of the intervals from 1.
So, P(21 - 25) = 0.019
In order to find the probability of 16 or more books sold we need to sum the probabilities of both these intervals.
So, the probability of 16 or more books being sold on a given day = 0.201 + 0.019 = 0.220
Let m(<N) be x;
We have m(<M) = 1.5x;
We solve the equation: 75 + x + 1.5x = 180;
75 + 2.5x = 180;
2.5x = 105;
x = 105 ÷ 2.5;
x = 42;
Finally, m(<M) = 63 degrees;
The average rate of change of the function is: 3.2.
<h3>What is the Average Rate of Change for a Function?</h3>
Average rate of change = 
Given the function, 
, the average rate of change over the interval of x = 2 to x = 6 would be calculated as shown below:
a = 2
b = 6
f(a) = f(2) = 3.2(2) + 25 = 31.4
f(b) = f(6) = 3.2(6) + 25 = 44.2
Average rate of change = (44.2 - 31.4)/(6 - 2) = 3.2.
Learn more about average rate of change on:
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