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3 years ago

For each value of y, determine whether it is a solution to 18 < or equal to 3y.

Mathematics

1 answer:

OleMash [197]3 years ago

4 0

Answer:

6, 7, 9 are solutions
2 is not

Step-by-step explanation:

Divide the inequality by 3 to see what the solutions are:

6 ≤ y

Now, you can tell that 2 is not a solution, but 6, 7, and 9 are solutions. The latter values are all at least 6.

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3 years ago

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3 years ago

Kyle received the following course grades for 10 (three-credit) courses during his freshman year:

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Answer:

(a) The average grade point is 2.5.

(b) The relative frequency table is show below.

Step-by-step explanation:

The given data set is

4, 4, 4, 3, 3, 3, 1, 1, 1, 1

(a)

The average grade point is

$Average=\frac{\sum x}{n}$

$Average=\frac{4+4+4+3+3+3+1+1+1+1}{10}$

$Average=2.5$

Therefore the average grade point is 2.5.

(b)

$\text{Relative frequency}=\frac{\text{Frequency of number}}{\text{Total frequency}}$

The relative frequency table is show below:

x f Relative frequency

4 3 $\frac{3}{10}=0.3$

3 3 $\frac{3}{10}=0.3$

1 4 $\frac{4}{10}=0.4$

(c)

Mean of the relative frequency distribution is

$Average=\frac{0.3+0.3+0.4}{3}$

$Average=0.3333$

Therefore the mean of the relative frequency distribution is 0.3333.

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3 years ago