Binomial distribution will be used to know the probability that the total weight of the samples will exceed 530 pounds.
It is given that the rocket that will return the rock and soil samples to Earth cannot lift off if the total weight of the samples from the rovers exceeds 530 pounds.
In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own Boolean-valued outcome: success (with probability p) or failure (with probability q = 1 − p). A single success/failure experiment is also called a Bernoulli trial or Bernoulli experiment, and a sequence of outcomes is called a Bernoulli process; for a single trial, i.e., n = 1, the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis for the popular binomial test of statistical significance.
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In the table shown below:
Let N be the number of bottles filled,
Let T be the time in hours.
Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

Let's evaluate the value of k for each day.
Thus, on monday,

Tuesday:

Wednesday:

Thursday:

It is observed that all exept wednesday have the same value of k.
Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.
Answer:
5
Step-by-step explanation:
<u>Definition of term:</u>
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.
6w- 3x+9y- 8z+ 12
\/
6w - 3x +9y - 8z + 12
Hope this helps, have a nice day! :D
3a + 3b, for a=2 and b=4 ... The first thing you'd do would be to plug the numbers in -
3 x 2 + 3 x 4
Then multiply them -
6 + 12
Then add -
18.
So your answer should be 18.