Answer:
x = 4 , y = -1
Step-by-step explanation:
x - 3y = 7 -- (1)
3x - 3y = 15 -- (2)
Rewriting (1), x = 3y + 7 -- (1)'
Substituting (1)' into (2),
3 ( 3y + 7 ) - 3y = 15
9y + 21 - 3y = 15
6y = -6
y = -1 -- (3)
Substituting (3) into (1),
x - 3 ( - 1 ) = 7
x + 3 = 7
x = 4 -- (4)
According to (3) and (4),
x = 4 , y = -1
Answer:
a) 0.23
b) The 95% confidence interval for the population proportion is (0.1717, 0.2883).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
Point estimate
The point estimate is:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the population proportion is (0.1717, 0.2883).
The expression would equal six because two times three is six.
Answer:
Answer is C.
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
Formula for sum of interior angles is 180(n - 2)
For a 5 sided polygon the sum is;
180(5 - 2) =540°
The supplement of ∡ 59° = 180° - 59° = 121°
The supplement of ∡ 77° = 180° - 77° = 103°
The supplement of ∡ 66° = 180° - 66° = 114°
The supplement of ∡ 62° = 180° - 62° = 118°
The sum of the polygon is:
121° + 103° + 114° + 118° + (180 - 12x)° = 540°
456° + (180 - 2x)° = 540°
(180 -12x)° = 540° - 456° = 84°
12x = 180° - 84° = 96°
x = 96/12 = 8
