Answer:
Step-by-step explanation:
Let y be the total charge and x no of hours spent for cutting the lawn,
Then for Allan we have the equation as
y = 8.50x+15
SInce 15 is the fixed charge and 8.50 is charged per hour we get the above equation for Allan.
Next similarly for Taylor, we have fixed charges 12 and variale 9.25
y =9.25x+12
When Taylor total charges is greater than Allan's total charge
we have 9.25x+12>8.5x+15
Simplify to get
0.75x>3
Or x>4
Whenever x i.e. no of hours exceed 4, Taylor charges will be greater than that of Allan
Dy/dx (2x⁵ y³ - 4y/x)
dy/dx (2y³ x⁵ - 4y/x)
dy/dx ( 2y³ x⁵ ) - dy/dx (4y/x)
= 2y³ 5x⁴ - (-4y × 1/x²)
=
10x⁶ y³ + 4y
-------------------
x²
Answer:
P = 0.041553
Step-by-step explanation:
Probability that a student considers calculus exciting. = 0.84
Probability that a student finds calculus not exciting = 0.16
This is a binomial experiment.
p = 0.84 and n = 29
The probability of observing 28 or more of the students who consider calculus to be an exciting subject in our sample of 29 is given by:
P = 0.041553
Half an hour everyday means she exercises 30 minutes per day.
5 hours is 300 minutes. 300/30= 10 days of exercise.