Formula applied: p+/- Z*sqrt (p(1-p)/N)
Where
p=probability of those who will vote for candidate a = 120/400 = 0.3
Z = Critical value at 95% confidence interval = 1.96
N = Size of the sample = 400
Substituting;
Interval = 0.3+/- 1.96* sqrt (0.3(1-0.3)/400) = 0.3+/-0.045
Interval of population who will vote for candidate a at 95% confidence interval
= 0.3+0.045 to 0.3-0.045
=0.345 to 0.255 of the total population
Answer:
Because it bears an equal sign
Expressions don't have a definite solution to the problem.
For solving these equation, it is important to isolate the variable to then solve it.
In this first equation,
3(4+x)=x+6
12+3x=x+6
12+2x=6
2x=-6
x=-3
to prove this, just substitute x value back into equation;
3(4-3)=-3+6
3(1)=3
3=3
Same for the next equations;
1+2x-x=x-5+x
1+x=2x-5
1=x-5
6=x
Then substitute this value back into equation;
1+2(6)-6=6-5+6
1+12-6= 12-5
7=7
Answer:
A. 90 sq. units
Step-by-step explanation:
5(18) = 90
Answer:
$148
Step-by-step explanation:
We are given the expression:
48+25h
We are also given h=4. Since we know what h is equal to, we can substitute 4 in for h.
48 + 25h (h=4)
48 + 25(4)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
First, multiply 25 and 4.
48+ (25*4)
48+100
Next, add 48 and 100
48+100
148
The customer will have to pay $148