Answer:
Option A is correct.
y = 35.4 bushels per acre when rainfall = 7.1 inches
Step-by-step explanation:
An image of the steps to obtain the equation that relates x to y is attached to this answer.
n = number of variables = 9
μₓ = mean of variable x (rainfall in inches)
μᵧ = mean of variable y (yield in bushels per acre)
σₓ = standard deviation of variable x (rainfall in inches)
σᵧ = standard deviation of variable y (yield in bushels per acre)
y = 4.379x + 4.268
when x = 7.1
y = 4.379(7.1) + 4.268 = 35.3589 = 35.4 bushels per acre.
Answer:
100x+120y = z
z= $ 63000
Step-by-step explanation:
Product Welding Assembly Painting Cont. to profit
X 2x hours 3x hours 1xhour = $100x
Y 3y hours 2y hours 1y hour = $120y
<u> </u>
Total hours 1500 hours 1500 hours 550 hours
available
Let X represent product X
Let Y represent Product Y
2x + 3y = 1500
x + y = 550
y= 550-x
2x + 3(550-x) = 1500
2x + 1650- 3x = 1500
150 = x
y = 550-150
y = 400
Objective Function Z = 100x + 120y
Z = 100(150) + 120( 400)
Z = 15000+48000
Z = $63000
A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes
Domain x is number of hours
Range y is distance traveled
speed = 12 miles per hour
time = 45 minutes =
= 0.75 hours
We know distance formula
Distance = speed * time
Distance = 12 * 0.75= 9 miles
Number of hours x is 0 to 0.75 hours
So domain is {
}
Distance is 0 to 9 miles
So range is {
}
Power
= Work done / Time
= 15000 N * 3 m / 50 s
= 45000/50 N-m/s
= 900 W
It may sound like an extremely low value, but 3.0 / 50 s is also a very slow speed.
Answer: 70.47%
100% - 13% = 87%
19% of 87% = 16.53%
remaining percent
= 87% - 16.53%
=70.47%