Answer:
The 99% confidence interval of the population standard deviation is 1.7047 < σ < 7.485
Step-by-step explanation:
Confidence interval of standard deviation is given as follows;

s =
Where:
= Sample mean
s = Sample standard deviation
n = Sample size = 7
χ = Chi squared value at the given confidence level
= ∑x/n = (62 + 58 + 58 + 56 + 60 +53 + 58)/7 = 57.857
The sample standard deviation s =
= 2.854
The test statistic, derived through computation, = ±3.707
Which gives;


1.7047 < σ < 7.485
The 99% confidence interval of the population standard deviation = 1.7047 < σ < 7.485.
Answer:
V = ⅓πr²h = ⅓(3.14)(7.5/2)²(4.25) = 62.5546875 ≈ 62.6 ft³
Step-by-step explanation:
Answer:
Find the value of x:-
To find Y, use Pythagorean theorem:- 




subtract 1.96 from both sides


Now, to find x:-



<u>~OAmalOHopeO</u>
So,
The ratio of dogs to cats:

The other proportion:


5 times 28 is 140.
Multiply the fraction by the appropriate form of 1

There are 56 dogs when the number of cats is 140.
Answer`Step-by-step explanation:
The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:
Hope that help, at least a bit.