Answer:
The values of x and y is given by the equation
.
Step-by-step explanation:
Given : Five whole numbers are written in order 4 6 x y 10
, the mean and median of the five numbers are the same.
To find : The values of x and y ?
Solution :
Observations 4, 6, x, y, 10.
Mean is summation of observation divided by number of observation.
i.e. 


Median is middle term of observations.
Median of odd terms
term

term
The mean and median of the five numbers are the same.
i.e. 


The values of x and y is given by the equation
.
Answer:
6840
Step-by-step explanation:
multiply combinations
n!/(r!(n − r)!)
n choose r
n (objects) = |n
r (sample) = r
(4 teachers, CHOOSE 2)*(20 students, CHOOSE 3)
C(4,2) times C(20,3) =
C(n,r)=?
C(n,r) = C(4,2)
4! / (2!(4-2)!)
4! /2! x 2!
= 6
C(n,r)=?
C(n,r) = C(20,3)
20! / (3!(20-3)!)
20! / 3! x 17!
= 1140
6 * 1140 = 6840
alegbracom Edwin McCravy
Answer:a
Step-by-step explanation:Bottom line includes the end point so should be less than or equal. Top line does not so should be greater than
Answer:
D
Step-by-step explanation:
Let x be Bill’s scores.
Let y be Theo’s scores.
x + y = 90
x² = y
Solve for x in the second equation.
x = √y
Put x as √y in the first equation and solve for y.
√y + y = 90
√y = 90 - y
y = (90 - y)²
y = - y² - 180y - 8100
0 = -y² - 181y - 8100
0 = (-y+81)(y-100)
-y+81=0
y = 81
y - 100 = 0
y = 100
100 does not work if we plug in to check, so y is 81.
y = 81
Put y as 81 in the first equation and solve for x.
x + 81 = 90
x = 9
Bill scored 9 goals and Theo scored 81.
9x9+81
81/7= 81 over 7, or 11.6