Since line DB is perpendicular to line AC, then arc AB = arc BC
Thus, 14x - 3 = 7x + 18
Collecting like terms,
14x - 7x = 18 + 3
7x = 21
Dividing both sides by 7, we have


substituting x into the above equation,

Hence, angle the arc AC makes at the centre is 78 degrees.
Answer:
D. 12 in
Step-by-step explanation:
(B * h)/2
6 * 4 = 24
24/2 = 12
Area = 12 in
Answer:
Step-by-step explanation:
Given that the housing market has recovered slowly from the economic crisis of 2008. Recently, in one large community, realtors randomly sampled 38 bids from potential buyers to estimate the average loss in home value.
s = sample std deviation = 3000
Sample mean = 9379
Sample size n = 38
df = 37
Std error of sample mean = 
confidence interval 95% = Mean ± t critical * std error
=Mean ±1.687*486.66 = Mean ±821.003
=(8557.997, 10200.003)
a) If std deviation changes to 9000 instead of 3000, margin of error becomes 3 times
Hence 2463.008
b) The more the std deviation the more the width of confidence interval.
Answer:
%
Explanation:
So first you have to find the total number of people.

Then we put that number in a fraction with the number of people who do not believe in the creatures.


Then we simplify it.

That is our fraction answer. In order to change it into a percent we divide the numerator by the denominator.

Then we round to the nearest hundredth (or what ever it says).

And that is our decimal. Now to change that into a percent we multiply by 100, or move the decimal to spaces to the right.
55%
And that is our percent.