Answer:
x=-7
Step-by-step explanation:
2x-5=5x+16
(2x-5x)=(5+16)
-3x=21
21/(-3)=-7
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
Answer:
because the square root of 10 is an irrational number, and only rational numbers are integers. integers are whole numbers and have no fractions or decimels... hope it helps
The principal sum is Rs.10,000
Step-by-step explanation:
The formula of compound interest is:
where:
- I is the interest
- P is the principal investment amount (the initial deposit or loan amount)
- r is the annual interest rate (decimal)
- n is the number of times that interest is compounded per unit t
- t is the time the money is invested or borrowed for
Jharana got Rs.1881 interest of certain sum for 2 year at 9%
compounded yearly
∵ I = Rs.1881
∵ r = (9/100) = 0.09
∵ n = 1 ⇒ compounded yearly
∵ t = 2 years
Substitute all of these values in the rule above
∴ 
∴ 1881 = P(1 + 0.09)² - P
∴ 1881 = P(1.09)² - P
∴ 1881 = 1.1881 P - P
∴ 1881 = 0.1881 P
- Divide both sides by 0.1881
∴ P = 10,000
The principal sum is Rs.10,000
Learn more:
You can learn more about the interest in brainly.com/question/11149751
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