Investment is a source of income.
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Answer:
The variance for the number of correct answers is 2.8 questions
Step-by-step explanation:
The number of correct answers follows binomial distribution, in which we have:
- n identical and independents events: the 15 questions
- two possibles results that we call success and fail: The answer is correct and the answer is incorrect
- probability p of success and 1-p of fail. Probability 1/4 of get the answer correct and probability of 3/4 of get the answer incorrect. This probabilities are calculated on that way because every question have 4 possible answers and one of which is correct.
So, the variance for a variable x that follows a Binomial distributions is:
V(x)=n*p*(1-p)
Then, the variance for the number of correct answers is:
V(x)=15*(1/4)*(3/4) = 2.8125 ≈ 2.8
Because n is equal to 15, p is equal to 1/4 and (1-p) is equal to 3/4.
Answer: A consistent system has at least one solution. ... y = 7/3 * x - 2/3 is the slope intercept form of the equation 7x - 3y = 2 m = 7/3 b = -2/3 a line parallel to the line created by this equation.
Given:
Of the 50 students in the cafeteria, 7 have red hair.
Total number of students = 750
To find:
The proportion that could be used to predict the number of students who have red hair.
Solution:
Let x represent the number of students who have red hair.
The ratio of student having red hair to the total number of students are
The number of students having red hair is proportional to the total number of students. So, the above ratios are equal.
Multiply both sides by 750.
Therefore, the required equation is and the number of students who have red hair is 105.
