There is a 35% chance she will arrive after 8:30AM
Answer:
<u>Step-by-step explanation:</u>
The general form of a sin/cos function is: y = A sin/cos (Bx-C) + D where the period (P) = 2π ÷ B
In the given function, →
Half of that period is:
Calculate the period for each of the options to find a match:
Answer:
x = 1/3 ln(2)
Step-by-step explanation:
e^(3x)+6=8
Subtract 6 from each side
e^(3x)+6-6=8-6
e^(3x) = 2
Take the natural log of each side
ln (e ^3x) = ln (2)
3x = ln(2)
Divide by 3
3x/3 = 1/3 ln(2)
x = 1/3 ln(2)
Focus on the regression line. Notice how (0,90) and (1,75) are on this line. Compute the slope of the line through those points
Use the slope formula
m = (y2-y1)/(x2-x1)
m = (75-90)/(1-0)
m = -15/1
m = -15
So Matthew's balance is decreasing by approximately 15 dollars each month. The negative slope means "decrease". This is shown by the fact that the line goes downhill as you move from left to right.
Answer: decreases by $15 each month