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ch4aika [34]
3 years ago
7

A university offers 3 calculus classes: Math 2A, 2B and 2C. In both parts, you are given data about a group of students who have

all taken at least one of the three classes. (a) Group A contains 157 students. Of these, 51 students in Group A have taken Math 2A, 80 have taken Math 2B, and 70 have taken Math 2C. 15 have taken both Math 2A and 2B, 20 have taken both Math 2A and 2C, and 13 have taken both Math 2B and 2C. How many students in Group A have taken all three classes?
Mathematics
1 answer:
ankoles [38]3 years ago
4 0

Answer:

4 students

Step-by-step explanation:

The total number of students is given by:

|A|+|B|+|C|-|A\cap B|-|A\cap C|-|B\cap C| + |A\cap B \cap C| = N

Where N is the total number of students, A is the number of students that have taken Math 2A, B is the number of students that have taken Math 2B, and C is the number of students that have taken Math 2C:

|A|+|B|+|C|-|A\cap B|-|A\cap C|-|B\cap C| + |A\cap B \cap C| = N\\51+80+70-15-20-13 +  |A\cap B \cap C|  = 157\\ |A\cap B \cap C| =4

4 students in Group A have taken all three classes.

*The number of students that have taken two classes has be subtracted so those students do not get counted twice

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A value that satisfies this equation is called a root, zero or solution of the equation!! We have three ... Solve each by factoring. 1) x2 + 4x -5 = 0 ... Follow the explanation and sample problem to review completing the square.

Step-by-step explanation:

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3 years ago
A random sample of 400 Michigan State University (MSU) students were surveyed recently to determine an estimate for the proporti
Gre4nikov [31]

Answer:

a. .92

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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In which

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The margin of error of the interval is:

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The upper bound is the point estimate \pi added to the margin of error.

Point estimate:

The confidence interval is symmetric, so it is the mean between the two bounds.

In this problem:

\pi = \frac{0.372 + 0.458}{2} = 0.415

Sample of 400, which means that n = 400

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We have to find z.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

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z = \frac{0.043\sqrt{400}}{\sqrt{0.415*0.585}}

z = 1.745

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This means that:

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a. .92

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3 years ago
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According to the rule of BODMAS (or FEDMAS), let us do the bracket first.

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Now, do the division from the left.

\frac{\frac{4356}{2002} }{11}

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8 0
3 years ago
What is the quotient of -12 divided (1/6)
earnstyle [38]
3
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