The answer is B) -5, -20, 10, 15, 40
We have been given that Micah is buying items for a birthday party. He wants to use the same amount of each item. We are asked to find the least number of packages of cups he needs to buy (6 cups in each bag and 8 plates in each bag).
To find the least number of packages of cups, we need to find least common multiple of 6 and 8.
Multiples of 6: 6, 12, 18, 24, 30,....
Multiples of 8: 8, 16, 24, 32, 40, 48,.....
We can see that least common multiple of 6 and 8 is 24.
Now we will divide 24 by 6 to find number of packages of cups that Micah needs to purchase.
Therefore, Micah needs to buy 4 packages of cups at least.
Answer:
D. Find the cumulative probability for 8 in a binomial distribution with n = 20 and p = 0.5.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student guesses the correct answer, or he does not. The probability of the student is guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
20 questions
This means that
How would you find the probability that the student will get 8 or fewer answers correct?
That is, it is the same as the cumulative probability for 8.
So the correct answer is:
D. Find the cumulative probability for 8 in a binomial distribution with n = 20 and p = 0.5.
Step-by-step explanation:
From the picture:
(6, -2) ⇒ x₁ = 6, y₁ = -2
(12, -2) ⇒ x₂ = 12, y₂ = -2
So the slope:
From your writing:
(6, 2) ⇒ x₁ = 6, y₁ = 2
(12, -2) ⇒ x₂ = 12, y₂ = -2
So the slope: