Answer:
Step-by-step explanation:
Data provided in the question:
Number of cups of tea offered = 3
Number of cups marked = 9
Number of cups tasted by each = 4
Now,
The probability that a contestant does not taste all of the samples
= contestant tastes only 2 samples of tea
= 
C₆⁴ = number of ways to choose 4 cups out of 6 cups of two samples
C₃² = number of ways to choose which 2 samples will be tasted
[ as 2 samples × 3 cups each = 6 cups ]
C₉⁴ = Number of ways to choose 4 cups out of 9
=
Hence,
the correct answer is option (B) 5/14
Answer:
20%.
Step-by-step explanation:
That is (60 - 50) / 50
= 10/50
= 1/5
To convert to a percent we multiply by 100:
= 20%.
Answer:
V ≈471.24 mm^3
Step-by-step explanation:
The formula for cylinder volume is πr^2 x h, so ((π x 25) x h). That's just 25π x 6. That is about 471.238898, which rounded is almost 471.24. Or, in terms of π, you could leave your answer as 150π mm^3
Answer:
3.5 m
Step-by-step explanation:
Use Pythagorean theorem to find the distance (d) the distance goes up the wall = adjacent to the angle 75° that is formed with the wall.
Length of ladder = the hypothenuse = 13.5 m
Thus, we would use:
Cos75 = adjacent/hypothenuse
Cos 75 = d/13.5
Multiply both sides by 13.5
13.5*cos(75) = d
13.5*0.2588 = d
3.4938 = d
d ≈ 3.5 m (nearest tenth)
So basically, each number is equal to the two numbers below it added together.
See, 7 = 3+4, 8 = 5 +3, etc.
So, the top would be 16 + 17.
16 + 17 = 33
So 33 goes on top.
