The confidence interval is
.
This means that if we take repeated samples, 99% of the intervals would contain the population proportion.
To construct this interval, we use
,
where
Since 590/1016 said they had a cat and a dog, p=0.581 and N=1016:
We need the z-score associated with this confidence level:
Convert 99% to a decimal: 99/100 = 0.99
Subtract from 1: 1-0.95 = 0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table, we see that this value is equally distant from z=2.57 and z=2.58, so we will use z=2.575:
Answer: 56
Step-by-step explanation:
Given : A bag contains five red marbles, three green ones, one transparent one, three yellow ones, and three orange ones .
Red marbles = 5
Green marbles = 3
Total marbles red or green = 5+3=8
The number of combinations of n things taking r at a time is given by :-
Then, the number of possible sets of five marbles are there in which all of them red or green is given by :-
Now, the number of possible sets of five marbles are there in which all of them red or green = 56
Answer:
42
Step-by-step explanation:
yeah-ya.......... right?
The length of each of the equal sides of an isosceles triangle are 80.
Explanation:
Given that the forest clearing is in the shape of an isosceles triangle with a base of 75 feet.
The perimeter of the forest clearing is 235 feet.
We need to determine the length of each of the two equal sides.
Length of the two sides.
Let x denote the length of each of the equal sides.
The value of x can be determined using the perimeter formula.
Perimeter of the triangle = Sum of all the three sides of the triangle.
Thus, we have;
Thus, the value of x is 80.
Hence, the length of each of the equal sides of an isosceles triangle are 80.