Answer:
a. 0.6899
b. 0.1642
Step-by-step explanation:
a. Given the probability of success is 0.94 for an expert and that the number of pairs, n=6:
-Each attempt is independent and therefore the probability of the events is calculated as:

Hence, the probability of correctly identifying the 6 matches is 0.6899
b.Given the probability of success is 0.74 for a novice and that the number of pairs, n=6:
-Each attempt is independent and therefore the probability of the events is calculated as:

#Hence, the probability of correctly identifying the 6 matches is 0.1642
*I have used the sample size of 6(due to conflicting info/question size).
Answer:
m + p >= 100
m >= 40
p >= 10
Step-by-step explanation:
let m = number of mugs
let p = number of plates
Let's use the variable x to represent the length of the first and second pieces.
If the third piece has twice the length of the first and second, its length is 2x.
If the fourth piece has half the length of the first and second, its length is 0.5*x.
Adding all four pieces and equating to 54 inches, we have:

So the length of each piece is:
12 inches, 12 inches, 24 inches and 6 inches.
Answer:
3
Step-by-step explanation:
area of square=l*b so
81=3x multiply 3x
81=9x^2
81/9=x^2
9=x^2
=x
3=x