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.
Answer:
x= 7
Step-by-step explanation:
It's a 45 45 90 triangle
The legs are = x while the hypotenuse is x
.
Therefore the answer is 7
Answer:
so look
Step-by-step explanation:
6x=7+8
2 Simplify 7+87+8 to 1515.
6x=156x=15
3 Divide both sides by 66.
x=\frac{15}{6}x=
6
15
4 Simplify \frac{15}{6}
6
15
to \frac{5}{2}
2
5
.
x=\frac{5}{2}x=
2
5
Done
Decimal Form: 2.5
Answer:
x>6
Step-by-step explanation:
answer is above
I)
The Midpoint M of the line segment AB is found using the Midpoint formula:

ii)
the slope of the line through A and B is found by the slope formula:

iii)
the product of the slopes of 2 perpendicular lines is -1, so the slope of the line perpendicular to the line through A and B is -1/(-1)=1
iv)
the equation of the line with slope 1, which contains point M(3, 9) is found by the slope point form equation of a line:
y-9=1(x-3)
y-9=x-3
y=x+6
Answer: y=x+6