Answer:
Hence the confidence interval is ( 0.6745, 0.7422).
Step-by-step explanation:
Now the given are
Sample size = n = 1200
x = 850
Sample proportion is
We have to construct 99% confidence interval for the population proportion.
Formula Used:
Here E is a margin of error.
Zc = 2.58
So confidence interval is ( 0.7083 - 0.0339 , 0.7083 + 0.0339)
= ( 0.6745 , 0.7422).
Answer:
- 12 /13
Step-by-step explanation:
Given that:
Cot(θ) = 5 /12 ;
Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ
Hence ;
tan θ = 1 / cot θ
tan θ = 1 ÷ (5 / 12)
tan θ = 1 * 12 /5 = 12/5
Tan θ = opposite / Adjacent = 12 /5
Sin θ = opposite / hypotenus
Hypotenus = √(opposite² + adjacent²)
Hypotenus = √12² + 5²
Hypotenus = √(144 + 25)
Hypotenus = √169
Hypotenus = 13
Hence,
Sin θ = opposite / hypotenus = 12 / 13
pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;
Sin θ = - 12 /13
Answer: 7 years
Step-by-step explanation:
The Chubby bunny currently weighs 5 pounds but is increasing by 3 pounds per year. Assuming we wanted to find the weight in a given year, we can assume that given year is x. The expression would be:
= 5 + 3x
The fat cat weighs 19 pounds and gains by 1 pound a year.
Expression is:
= 19 + 1x
Equate the two equations together and find x:
5 + 3x = 19 + 1x
3x - 1x = 19 - 5
2x = 14
x = 14/2
x = 7 years
<h2>
Answer with explanation:</h2>
As per given , we have


n= 64
a) Since , the sample mean is the point estimate for the population mean.
Therefore, the point estimate of the population mean =
b) Critical z-value for 99% confidence : 
Confidence interval :




Hence, the 99 percent confidence interval for the population mean is between 7.46 and 8.88.
∴
=2796202.5
Step-by-step explanation:
First term(a) =
common ratio(r) =
=4
n= 12

=2796202.5
∴
=2796202.5