Two supplementary angles when addd together equal 180.
let one angle = x
The second angle is 5 times that so would be 5x
x + 5x = 180
Simplify:
6x = 180
Divide both sides by 6:
X = 30
One angle is 30, the second angle would be 150
The answer is 150
9514 1404 393
Answer:
26. B(t) = 500·1.075^t; B(6) ≈ $772
27. G(t) = 70·0.72^t; G(3) ≈ 26 g
Step-by-step explanation:
The equation with the plus sign is used when the value is increasing. The minus sign is used when the value is decreasing. The 'a' in each equation is the initial value.
__
26. B(t) = 500·1.075^t
B(6) = 771.65
The balance after 6 years is about $772.
__
27. G(t) = 70·0.72^t
G(3) = 26.127
About 26 grams are left after 3 days.
Answer:
She gets an increase of $750 each year so in the tenth year she would make $34,850
Step-by-step explanation:
Answer:
Sample size of 586 or higher.
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 
.
The margin of error is:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
What sample size could be 95% confident that the estimated (sample) proportion is within 4 percentage points of the true population proportion?
Sample size of at least n when 
42.1% of women-owned businesses provided retirement plans contributions, which means that 
. So
We need a sample size of 586 or higher.
