Answer:
7 or 8
Step-by-step explanation:
This situation can be modeled with the Binomial Distribution which give the probability of an event that occurs exactly k times out of n, and is given by
where
= combination of n elements taken k at a time.
<em>p = probability that the event (“success”) occurs once
</em>
<em>q = 1-p
</em>
In this case, the event “success” is wanting a new copy of the book with probability 25% = 0.25 and n=30 students randomly chosen.
The expected value for a binomial distribution is the mean np, so in this case the expected value of the number of students who want a new copy of the book would be
np = 30*0.25 = 7.5
<em>To make sense of this value, we could say that 7 or 8 students out of 30 want a new copy of the book.
</em>
The value of x in the equation, as a mixed number in simplest form is solved as: x = 2 2/9.
<h3>How to Solve an Equation?</h3>
To solve for a variable, say x, in an equation, it means to find the value of x that will make the equation true. Do this by isolating x in the equation.
Given the equation:
x/−8 = −5/18
Cross multiply
18x = (-5)(-8)
18x = 40
Divide both sides by 18
x = 40/18
x = 2 2/9.
Therefore, the value of x in the equation, as a mixed number in simplest form is solved as: x = 2 2/9.
Learn more about equation on:
brainly.com/question/1214333
Answer: 68,719,476,736 different ways to answer the quiz.
Step-by-step explanation:
We have 20 questions.
4 of them, have two options (true and false)
and 16 of them have 4 options (a, b, c and d.)
The total number of different ways of answering this quiz is equal to the product of the number of options for each case, then we have:
Combinations = (2^4)*(4^16) = 68,719,476,736 different ways to answer the quiz.
Answer:
4.51 rounded to the nearest whole number is 5.
Answer:
B
Step-by-step explanation: