The tank is NOT filled with 8314.5 L of a liquid. I guess you meant <span>The tank is completely filled with 8314.5 grams of liquid." </span>
<span>(8314.5 g) / (230 L) = 36.15 g/L . Hope this helps!</span>
Answer:
X = {0, 1, 2, 3, 4}
Step-by-step explanation:
If X is the number of nonzero digits in a 4-digit PIN with no restriction on the digits, the pin can have up to 4 nonzero digits.
Let's see some examples:
If the PIN is 0000 then X = 4
If the PIN is 2045 then X = 3
If the PIN is 7546 then X = 0
From the previous examples, we can see that the possible values for X are 0, 1, 2, 3, 4.
Thus X = {0, 1, 2, 3, 4}
Luke's original decimal is 0.20 and Bekka's is 0.30 so 0.40 and 0.50 would be greater than Luke's original and 0.20 and 0.10 are lesser than Bekka's original decimal
Answer:
23
Step-by-step explanation:
Taking an algebraic approach
let the number be n, then (n - 17) is 17 subtracted from number and
- 2(n - 17) = - 12 ( divide both sides by - 2 )
n - 17 = 6 ( add 17 to both sides )
n = 23
Thus Julio's number was 23
Using the binomial distribution, it is found that there is a:
a) 0.9298 = 92.98% probability that at least 8 of them passed.
b) 0.0001 = 0.01% probability that fewer than 5 passed.
For each student, there are only two possible outcomes, either they passed, or they did not pass. The probability of a student passing is independent of any other student, hence, the binomial distribution is used to solve this question.
<h3>What is the binomial probability distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 90% of the students passed, hence .
- The professor randomly selected 10 exams, hence .
Item a:
The probability is:
In which:
Then:
0.9298 = 92.98% probability that at least 8 of them passed.
Item b:
The probability is:
Using the binomial formula, as in item a, to find each probability, then adding them, it is found that:
Hence:
0.0001 = 0.01% probability that fewer than 5 passed.
You can learn more about the the binomial distribution at brainly.com/question/24863377