Answer:
The standard error of the proportion is 0.112.
Step-by-step explanation:
The standard error of a proportion is given by the following formula:
In which p is the probability of a success and n is the length of the sample.
In this problem
A success is a student defining themselves regular dietary supplement users. Our of 3000 students, 1500 do. So 
.
We take a sample of 20 of them, so 
.
So
Set up an equation:
Numerator is the top number and denominator is the bottom number in a fraction.
(6x)^5 / d = 36
(6x)^5 can be rewritten as 6^5x^5
6^5x^5 / d = 36
Raise 6 tot he power of 5:
7776x^5 /d = 36
Multiply both sides by d:
7776x^5 = 36d
Divide both sides by 36:
d = 7776x^5 / 36
d = 216x^5
The answer is less than 90 but greater than 35. because the other angles look as if they are 105 I would say that the answer is 75
Hi there!
To start, squares are a shape in which all of its sides are congruent to one another. Knowing the length of one side would mean that you would know the length of all the other sides.
Because you know that one side measures 22 cm, you can conclude that all the other sides of the square are also at a length/width of 22 cm.
Next, you will find the area of the square.
Because the area formula is Area=Length * Width, you can easily find the area of the square by multiplying 22*22 since the length and width of any square is the same.
When you simplify 22*22, you should get 484.
Therefore, the area of the square canvas would be 484 cm squared.
Hope this helps and have a marvelous day! :)
Answer:
Step-by-step explanation:
The total number of ways of selecting 3 gems of any kind without replacement is 35 * 34 * 33 = 39270
Now selecting 2 gems from 25 is 25C2
25 C 2 = 25 * 24/2 = 300
Selecting one good gem is 10
Total selection = 300 * 10 = 3000
P(gems) = 3000 / 39270
P(gems) = 300/3927
P(gems) = 100/1309
