Since y=x+3 (given)
Put value of y in equation x+y=(-3)
x+x+3=(-3)
2x=(-6)
x=(-3)
Put x=(-3) in x+y=(-3)
(-3)+y=(-3)
y=0
So, x=(-3)
y=0
The total number of dancers in the school is 150.
Answer: the price for an adult ticket is $3
Step-by-step explanation:
Let x represent the price of one adult ticket.
Let y represent the price of one child ticket.
The Martinez family went to play and paid $13 for 1 adult and 4 children. This means that
x + 4y = 13 - - - - - - - - - - -1
The Hernandez family went to the same place and paid $14 for 3 adults and 2 children. This means that
3x + 2y = 14 - - - -- - - - - - - -2
Multiplying equation 1 by 3 and equation 3 by 1, it becomes
3x + 12y = 39
3x + 2y = 14
Subtracting, it becomes
10y = 25
y = 25/10 = 2.5
Substituting y = 2.5 into equation 1, it becomes
x + 4 × 2.5 = 13
x + 10 = 13
x = 13 - 10
x = 3
Answer:
the correct option is E. d is biased.
Step-by-step explanation:
As given,
The expected value of d hat is not equal to D.
We know that,
The unbiased-ness is the property that tells the expected value of d is equal to D
So, the correct option is E. d is biased.
For this case we must find the quotient of the following expression:
Applying double C we have the following expression:
Applying distributive property to the terms within the parentheses of the numerator we have:
Thus, the quotient is given by option A
Answer:
Option A
