PART 1.
Going westward:
Distance: 2400 miles
Rate (this is speed): (450-wind_speed) mph
Time: distance / speed = 2400 / (450-wind speed)
Going eastward:
Distance: 2400 miles
Rate (this is speed): (450+wind_speed) mph
Time: distance / speed = 2400 / (450+wind speed)
PART 2
Formula for speed:
speed = distance / time
Now we solve this for time:
time = distance / speed
11h = 2400 / (450+-wind_speed)
+- sign is put because in one case wind increases speed of plane and in other case it decreases speed.
PART 3
To solve for wind_speed we start by rearranging formula so that we have wind_speed on left side:
(450+-wind_speed) = 2400 / 11
(450+-wind_speed) = 218mph
To fly this distance in 11h speed of plane must be 218mph.
The only way to get this solution is if we substract wind speed:
450-wind_speed = 218
wind_speed = 450-218 = 232mph
Q=3456 is the correct answer to your question.
The formula to calculate the sample size is:
n = Z number * standard deviation/ confidence estimate)^2
The z number for 95% confidence is 1.96
The standard deviation is given as 26 minutes.
The confidence estimate is given as 5 minutes.
The sample size is: (1.96 * 26/5)^2 = 103.87 = 104 shoppers.
Answer:
See attachment
Step-by-step explanation:
The given matrix equation is:
To find Matrix X, we need to multiply both sides of the equation by 2 to obtain:
This simplifies to;
By scalar multiplication, we multiply each entry in the matrix A by to 2 to obtain matrix X.
