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Anastaziya [24]
2 years ago
7

uppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5

and a standard deviation of 0.37. Using the empirical rule, what percentage of the students have grade point averages that are no more than 3.24
Mathematics
1 answer:
Marizza181 [45]2 years ago
6 0

Answer:

P(x \le 3.24) = 0.97725

Step-by-step explanation:

Given

\bar x = 2.5

\sigma = 0.37

Required

Percentage that is not more than 3.24

The above implies that:

x = 3.24

Calculate z score

z = \frac{x - \bar x}{\sigma}

z = \frac{3.24 - 2.5}{0.37}

z = \frac{0.74}{0.37}

z = 2

So, the probability is represented s:

P(x \le 3.24) = P(z \le 2)

From z probability

P(z \le 2) = 0.97725

Hence:

P(x \le 3.24) = 0.97725

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The number of electoral votes each state is assigned is determined by the size of its population every ten years. The chart show
sattari [20]

Answer:

D. Q_3=47

Step-by-step explanation:

We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.

The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.

We will use upper quartile formula to solve our given problem.

Q_3=\frac{3}{4}*(n+1)^{\text{th term}}, where, n represents the number of elements in the data set.

We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,

Q_3=\frac{3}{4}*(11+1)^{\text{th term}}

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Q_3=3*3^{\text{th term}}

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3 years ago
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2 1/3 + 3/7 divided by 2 1/3 x 1 3/7​
oee [108]

Answer: \frac{29}{35}

Step-by-step explanation:

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2\frac{7}{21}+\frac{9}{21} / 2\frac{7}{21} * 1\frac{9}{21}

2. Now, I would go and solve each side of the equation because we divide them, we can add 2\frac{7}{21} and \frac{9}{21}  together to get  2\frac{16}{21}, because 7 + 9 = 16

2\frac{16}{21} / 2\frac{7}{21} * 1\frac{9}{21}

3. We can do the same thing to the other side, by multiplying the two of them. I'm going to convert both of them to just fractions, 2\frac{7}{21} becomes \frac{49}{21} and 1\frac{9}{21} becomes \frac{30}{21}

\frac{49}{21} *  \frac{30}{21}

Now we can reduce them, and for our first fraction divide the top and bottom by 7, giving us  \frac{7}{3} and the second one by 3, which gives us  \frac{10}{7}

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4. So now we can do a similar thing with the first half of our equation and convert it into a fraction and not a mixed number.

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I'll save you some times and simplify it for you, the greatest common factor is 6 so we divide the top and bottom by 6 to get

\frac{29}{35}

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