N = 20, the number of questions
p = 1/5 = 0.2, the probability of making a correct guess
q = 1 - p = 0.8, the probability of making an incorrect guess.
Expected success = 60% or 6 of 10.
From the binomial distribution,
P(6 of 10) = ₁₀C₆ p⁶q⁴
= 210*0.2⁶*0.8⁴ = 0.0055
Answer: 0.0055
Answer:
There are 30 temporary employees
Step-by-step explanation:
<em>To find </em><em>x% of quantity A</em><em>, multiply x% by A after change x% to the normal number by divide it by 100 ⇒ </em><em>(x ÷ 100) × A</em>
Let us use this rule to solve the question
∵ The local water slides have 100 employees
∵ 30% of them are temporary
∴ The number of temporary employees = 30% × 100
∵ 30% = 30 ÷ 100 = 0.30
∴ The number of temporary employees = 0.30 × 100
∴ The number of temporary employees = 30
∴ There are 30 temporary employees
Answer: About 191 students scored between a 60 and an 80.
Step-by-step explanation:
Given : A set of 200 test scores are normally distributed with a mean of 70 and a standard deviation of 5.
i.e. 
and 
let x be the random variable that denotes the test scores.
Then, the probability that the students scored between a 60 and an 80 :
The number of students scored between a 60 and an 80 = 0.9544 x 200
= 190.88 ≈ 191
Hence , about 191 students scored between a 60 and an 80.
Answer:
The circumference is pi times larger than the diameter of a circle.
Step-by-step explanation:
The formula of the circumference of a circle is
C = 2(pi)r = (pi)d
C = (pi)d
To find the ratio of the circumference to the diameter, divide both sides of the equation by d.
C/d = pi
The circumference is pi times larger than the diameter of a circle.
Answer:
Angle B is 41 degrees
Step-by-step explanation:
1) find the supplement of the 113 degree angle; it is 180-113, or 67, degrees.
2) recognizing that the sum of the interior angles of a triangle is 180 degrees, add up 67 and 72 degrees, obtaining 139 degrees, and subtract this sum from 180 degrees:
180 degrees - 139 degrees = 41 degrees (answer)
The steps are outlined above; the end result is that <B is 41 degrees.
