Question

would be a linear equation? explain.

1. find the mean, median, and mode of the set of data below.

number of pockets in 8 pairs of pants: 4, 2, 0, 4, 5, 4, 2, 3

1. error analysis two students studied the table of data.

student a says that the median lowest temperature per
month for san diego, california, is 38.5°f. student b says
that the median is 52.5°f. which student is correct? explain
the error.
*13. probability hari surveyed the first 15 students who came to
class about the number of pets they owned. according to the
data he collected, is the next person he surveys likely to have
more than 4 pets? explain.
2, 1, 3, 1, 1, 0, 2, 2, 3, 7, 0, 4, 2, 1, 1

1. simplify \\(\frac{x^2 - 12x}{2x^2 - x}\\).
2. find 22% of 80 using a proportion.

lowest recorded te
in san diego (i
july 2006 68 ja
aug 2006 63 fe
sep 2006 61 m
oct 2006 55 a
nov 2006 42 m
dec 2006 42 j

Explanation:

Question 11

Step 1: Find the Mean

To find the mean, we sum all the data points and divide by the number of data points. The data set is \(4, 2, 0, 4, 5, 4, 2, 3\). The sum is \(4 + 2 + 0 + 4 + 5 + 4 + 2 + 3 = 24\). There are 8 data points, so the mean is \(\frac{24}{8}=3\).

Step 2: Find the Median

First, we order the data set from least to greatest: \(0, 2, 2, 3, 4, 4, 4, 5\). Since there are 8 (an even number) data points, the median is the average of the 4th and 5th values. The 4th value is 3 and the 5th is 4, so the median is \(\frac{3 + 4}{2}=3.5\).

Step 3: Find the Mode

The mode is the value that appears most frequently. In the data set, 4 appears 3 times, which is more than any other value, so the mode is 4.

Step 1: Factor Numerator and Denominator

Factor the numerator \(x^{2}-12x\) as \(x(x - 12)\). Factor the denominator \(2x^{2}-x\) as \(x(2x - 1)\).

Step 2: Cancel Common Factors

The expression \(\frac{x^{2}-12x}{2x^{2}-x}\) becomes \(\frac{x(x - 12)}{x(2x - 1)}\). We can cancel the common factor \(x\) (assuming \(x
eq0\)) to get \(\frac{x - 12}{2x - 1}\).

Step 1: Set Up the Proportion

Let \(n\) be \(22\%\) of \(80\). We know that \(\frac{n}{80}=\frac{22}{100}\) (since percent means "per hundred").

Step 2: Solve for \(n\)

Cross - multiply: \(100n=80\times22\). Calculate \(80\times22 = 1760\). Then, \(n=\frac{1760}{100}=17.6\).

Answer:

Mean: \(3\), Median: \(3.5\), Mode: \(4\)

Question 14