3(x-4) < 15 or x+4 > 6
1 answer:
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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:
35 and 36
Step-by-step explanation:
To solve this problem, we must interpret it line by line;
- We are dealing with consecutive integers; these are integers with a difference of 1 between them.
let the first number = x
second number = x + 1
- one - fifth of first;
x
- one - ninth of the second;
(x + 1)
for the "less" ;
x -
(x + 1) = 3
Multiply through by 45
45(x) - (45)
(x + 1) = 3 x 45
9x - 5(x + 1) = 135
9x - 5x -5 = 135
4x = 135 + 5
4x = 140
x = 35
Now, x+1 = 35 + 1 = 36
The consecutive integers are 35 and 36