Answer:
It's literally called the maximum or max.
B
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 5x + 3 is in this form with slope m = 5
To decrease the slope we require a smaller, positive value for m
y = x + 3 has m = 1 which is less than 5 and positive
y = x + 3 is less steep than y = 5x + 3
The slope of the equation would be 7/3 since the original slope was -3/7. We already know y int (b) so the eqn is
y = 7/3x + 2
Answer:
100
Step-by-step explanation:
First we find the mean of this set of data. We find the mean by finding the sum of data values and dividing it by the number of data values:
5+10+10+10+10+10+10+15 = 80
There are 8 data values; 80/8 = 10. The mean is 10.
To find the standard deviation, subtract the mean from each value; square the difference; add the squares; divide by the number of data values; and take the square root:
5-10 = -5; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 15-10 = 5
(-5)^2 = 25; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 5^2 = 25
25+0+0+0+0+0+0+25 = 50
50/8 = 6.25
√6.25 = 2.5
The standard deviation is 2.5.
This means two standard deviations, or 2σ, is 2(2.5) = 5.
This gives us μ-2σ = 10-5 = 5 and μ+2σ = 10+5 = 15.
Since all of our data is between 5 and 15, 100% is within two standard deviations of the mean.
As shown on the graph the 2 points mentioned have the following coordinates:
A(7,19) & B(11,11), That is A(x₁,y₁) & B(x₂,y₂)
the rate of change between A & B is the slope that is equal to:
slope = rate of change = (y₂-y₁) / (x₂-x₁) ==>(11-19) / (11-7) = (-8) / (4)
Rate of change = -2
