Question 1
There are 5 letters (B, O, K, E, R) and there is a total of 10 letters to make up the word.
There are

ways of arranging the letters, which equal to 210 ways
Question 2
There are seven swimmers in total.
There are

ways of choosing the first winner, which is 7 ways
There are

ways of choosing the second winner, which is 6 ways
There are

ways of choosing the third winner, which is 5 ways
There are 7×6×5=210 ways of choosing first, second, and third winner
Question 3
The probability of eating an orange and a red candy is

×

, which equals to

The probability of eating two green candies is

×

which equals to
Answer:
<em>The large sample n = 117.07</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the estimate error (M.E) = 0.08
The proportion (p) = 0.75
q =1-p = 1- 0.75 =0.25
Level of significance = 0.05
Z₀.₀₅ = 1.96≅ 2
<u><em>Step(ii):-</em></u>
The Marginal error is determined by
M.E = 

Cross multiplication , we get

√n = 
squaring on both sides , we get
n = 117.07
<u><em>Final answer:-</em></u>
<em>The large sample n = 117.07</em>
Answer:
A. Converse
Step-by-step explanation:
The statement x=y and y=z is a
converse relation
In logic, there are different types of relation which includes
1. Inverse
2. Contrapositive inverse
3.converse
The converse is created by switching the hypothesis and conclusion just like the example given.
Answer:
138.16 square feet
Step-by-step explanation:
The surface area of the cylinder consists of one rectangle and two circles.
1. The radius of the circle is 4 ft, then the area of the circle is

2. The width of the rectangle is 1.5 ft, the length of the rectangle is the circumference of the circle.
Find the circumference:

Hence,

3. The surface area of the cylinder is
