With this information we can set up 2 equations:
x + y = 312 (# of tickets sold for adults + # of tickets sold to adults = 312)
12x + 5y = 2204 ( # of tickets sold for adults times $12 + # of tickets sold to adults times $5 = $2204)
Where x is how many tickets were sold to adults and y how many tickets were sold to children
Now we can solve this system of equations by substitution:
isolate y in the first equation to find its value and plug it in the second equation
x + y = 312
isolate y by subtracting x from both sides:
x - x + y = 312
y = 312 - x
Apply y = 312 - x to the second equation
12x + 5y = 2204
12x + 5( 312 - x) = 2204
12x + 1560 - 5x = 2204
7x + 1560 = 2204
Subtract 1560 from both sides to isolate x
7x + 1560 - 1560 = 2204 - 1560
7x = 644
Divide both sides by 7
7/7x = 644/7
x = 92
Now plugin 92 for x in the first equation to find the value of y
x + y = 312
92 + y = 312
subtract 92 from both sides
92 - 92 + y = 312 - 92
y = 220
x = 92, y = 220
92 tickets were sold to adults and 220 tickets were sold to children
Hope it helps :)
Branliest would be appreciated
F= -1 2/3 or 5/3
In order to find the answer all you have to do is multiply both sides by -4/3.
-3/4f × -4/3 = f
-4/3 × 5/4 = -20/12
-20/12 simplified is -5/3 or -1 2/3
Answer:
f(x)=(x-1)^2+3
Step-by-step explanation:
Both equations vertexes equal (1, 3) while the rest do not match.
Answer:
C) $826.82 to $873.18.
Step-by-step explanation:
Sample mean (M) = $850
Standard deviation (s) = $54
sample size (n) = 36
Z for 99% confidence interval (Z) = 2.576
The confidence interval is determined by the following relationship:

Applying the given values, the lower (L) and upper (U) values are:

The answer is C) $826.82 to $873.18.
The correlation coefficient would not change when the units of one of the variable are different in the two cases.