C
given 1 /( 3 + √2 )
then rationalise the denominator by multiplying the numerator/ denominator by the conjugate of the denominator
the conjugate of 3 + √2 is 3 - √2
1 / (3 + √2 ) × (3 - √2 ) / (3 - √2 )
= (3 - √2 ) /( 9 - 2 ) = (3 - √2 ) / 7
Answer:
a) (0.5256,0.5944)
c) Criticism is invalid
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 560
Proportion of mislabeled = 56%

a) 90% Confidence interval:


Putting the values, we get:

b) Interpretation of confidence interval:
We are 90% confident that the true proportion of all seafood in the country that is mislabeled or misidentified is between 0.5256 and 0.5944 that is 52.56% and 59.44%.
c) Validity of criticism
Conditions for validity:

Verification:

Both the conditions are satisfied. This, the criticism is invalid.
Answer:
3/4
Step-by-step explanation:
18:24=18/24
18/24 reduces to 3/4
Answer:
Volume of cylinder =989 ft cube
Step-by-step explanation:
<u>Volume of cylinder</u>
Volume V = πr²h
r - radius and h - height
It is given that,
The radius of a cylindrical construction pipe is 1.5ft and
Length of pipe = 14 ft
<u>To find volume of cylinder</u>
Volume V = πr²h
V = 3.14 x 1.5 x1.5 x 14 =989.1 ≈ 989 ft cube