FLVS Question 3
1 answer:
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Answer:
Option d: n = 36, p = 0.97, x = 36.
Step-by-step explanation:
We are given that a soup company puts 12 ounces of soup in each can. The company has determined that 97% of can have the correct amount.
We have to describe a binomial experiment that would determine the probability that a case of 36 cans has all cans that are properly filled.
Let X = <u><em>Number of cans that are properly filled</em></u>
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 36 cans
x = number of success = all cans are properly filled = 36
p = probabilitiy of success which in our question is probability that
can have the correct amount, i.e. p = 97%
So, X ~ Binom (n = 36, p = 0.97)
Hence, from the options given the correct option which describes a binomial experiment that would determine the probability that a case of 36 cans has all cans that are properly filled is n = 36, p = 0.97, x = 36.
Answer:
y =
Step-by-step explanation:
Given
6 | 5y - 1 | - 1 = 29 ( add 1 to both sides )
6 | 5y - 1 | = 30 ( divide both sides by 6 )
| 5y - 1 | = 5
The absolute value function always returns a positive value. However, the expression inside can be positive or negative, thus
5y - 1 = 5 ( add 1 to both sides )
5y = 6 ( divide both sides by 5 )
y =
OR
- (5y - 1) = 5, that is
- 5y + 5 = 5 ( subtract 5 from both sides )
5y = 0 ⇒ y = 0
As a check substitute these values into the left side and if equal to the right side then they are the solutions.
x = 0 : 6|0 - 1 | - 1 = 6 | - 1| - 1 = 6(1) - 1 = 6 - 1 = 5 ≠ 29
x = : 6 | 6 - 1 | - 1 = 6(5) - 1 = 30 - 1 = 29
Thus x = is a solution, x = 0 is extraneous