90-41 =49
So the answer to x =49 degrees
Complimentary angles are two angles that equal 90 that us why to solve we subtract 41 from 90
Median: 29
Range: 25
IQR: 14.5
Explanations:
**Median:**
(To find the median, we need to first order all the elements)
Ordered —> 15, 18, 18, 20, 23, 28, 30, 33, 33, 34, 38, 40
(Since there are an even number of elements, we need to add the two elements in the middle and divide by 2)
Median = (28 + 30)/2 = 58/2 = 29
**Range:**
(To find the range, you just have the subtract the smallest one from the largest)
Range = 40 - 15 = 25
**IQR:**
First half of elements —> 15, 18, 18, 20, 23, 28
Second half of elements —> 30, 33, 33, 34, 38, 40
Q1 (Quartile 1) = Median of first half = (18 + 20)/2 = 38/2 = 19
Q3 (Quartile 3) = Median of second half = (33 + 34)/2 = 67/2 = 33.5
IQR = Q3 - Q1 = 33.5 - 19 = 14.5
Answer:
X = 12
Y = 4
Step-by-step explanation:
X + Y = 16
X = 3Y
3Y + Y = 16
4Y = 16
Y = 4
X + 4 = 16
X = 12
Answer:
4.5 gallons.
Step-by-step explanation:
Multiply the volume value by 4.
In this case, you multiple 4.5 by 4 which equals 18.
4.5 gallons = 18 quarts
Answer:
The maximum revenue is $661,250.
Step-by-step explanation:
The total revenue (R) is the product between the number of passengers (N) and the price of each ticket (P), so the inicial revenue is:
R = N * P = 8000 * 70 = $560,000
For each 1$ increase in the ticket, the airline loses 50 passengers, so if we call "x" the increase in the ticket price, we have that the revenue equation will be:
R = (8000-50*x) * (70+x) = 560000 + 8000*x - 50*70*x -50x2
R = -50*x2 + 4500*x + 560000
The value of x that gives the maximum value of a quadratic function is found using the formula:
x = -b/2a
where a and b are coefficients of the quadratic equation (in our case, a = -50 and b = 4500)
So the value of x that gives the maximum revenue is:
x = -4500 / (-100) = 45
Using this value in the revenue equation, we have that the maximum R is:
R = -50*45^2 + 4500*45 + 560000 = $661,250
(To get this revenue, the ticket will cost 70+45 = $115 and there will be 8000-50*45 = 5750 passengers)
