Average (mean) = (sum of all the data) / (# of data)
sum of all the data = (average)(# of data)
Thus for 100 students with an average of 93,
sum of all data = (93)(100) = 9300
and for 300 students with an average of 75,
sum of all data = (75)(300) = 22500
Therefore you would expect the overall average to be
(9300 + 22500) / (100 + 300) = 79.5 %
Now if there are x # of advanced students and y # of regular students, then
x + y = 90 (total # of students) and 93x + 75y = 87(x + y) (overall average)
The second equation can be simplified to x - 2y = 0
Subtracting the two equations yields
x = 60 and y = 90
Therefore you would need 60 advanced and 30 regular students.
Given that a room is shaped like a golden rectangle, and the length is 29 ft with the ratio of golden rectangle being (1+√5):2, thus the width of the room will be:
ratio of golden triangle=(length if the room)/(width of the room)
let the width be x
thus plugging the values in the expression we get:
29/x=(1+√5)/2
solving for x we get:
x/29=2/(1+√5)
thus
x=(29×2)/(1+√5)
answer is:
x=58/(1+√5)
or
byrationalizing the denominator by multiplying both the numerator and the denominator by (1-√5)
58/(1+√5)×(1-√5)/(1-√5)
=[58(1-√5)]/1-5
=(58√5-58)/4
Answer:
y=15x+185
Step-by-step explanation:
Step 1: Add -x to both sides.
x−5y+−x=−18+−x
−5y=−x−18
Step 2: Divide both sides by -5.
−5y−5=−x−18−5
y=15x+185
Answer:
Angle Bisector
Step-by-step explanation:
The top angle is split into two equal sections
Answer:
For the values of x = 3 and x = -3 the given functions f(x) = g(x)
Step-by-step explanation:
Here, the given functions are
Now, given f(x) = g(x)
⇒ 
or, 
Hence, for the values of x = 3 and x = -3 the given functions f(x) = g(x)
