Given a Venn diagram showing the number of students that like blue uniform only as 32, the number of students that like gold uniform only as 25, the number of students that like blue and gold uniforms as 12 and the number of students that like neither blue nor gold uniform as 6.
Thus, the total number of students interviewed is 75.
Recall that relative frequency of an event is the outcome of the event divided by the total possible outcome of the experiment.
From the relative frequency table, a represent the relative frequency of the students that like gold but not blue.
From the Venn, diagram, the number of students that like gold uniform only as 25, thus the relative frequency of the students that like gold but not blue is given by

Therefore,
a = 33% to the nearest percent.
Similarly, from the relative frequency table, b represent the relative frequency of the students that like blue but not gold.
From
the Venn, diagram, the number of students that like blue uniform only
as 32, thus the relative frequency of the students that like gold but
not blue is given by

Therefore,
b = 43% to the nearest percent.
Answer:
2x² + 4x + 3 = 0
Step-by-step explanation:
The function is said to be quadratic if it has highest degree = 2.
Further, The standard form of Quadratic Equation is:
ax² + bx + c = 0
where, a ≠ 0
a, b and c are constants
and x is unknown variable.
Thus, The Standard form of given Quadratic Equation is 2x² + 4x + 3 = 0
Number of pennies:P
Number of nickels:N
Number of dollar bills:D
P=N+12
N=D+5
1P+5N+100D=996
^given
Therefore
P=(D+5)+12
P=D+17
Plug back into main equation
(D+17)+5(D+5)+100D=996
Combine like terms
106D+42=996
106D=954
D=954/106=9
9 Dollar bills
N=D+5
N=(9)+5=14
14 Nickels
P=N+12
P=(14)+12=26
26 Pennies
26*1+14*5+9*100=996
Final answer:
9 Dollars
14 Nickels
26 Pennies