The average of a set of data is its sum, divided by the number of data points in the set. If p is the number of points Mark scores in his next game, and he wants his average at least 10, then the relation is ...

(12 +14 +10 +8 +5 +p)/6 ≥ 10

49 +p ≥ 60 . . . . . . . . . multiply by 6 and simplify

p ≥ 11 . . . . . . . . . . . subtract 49

Mark must score at least 11 points in the next game to average at least 10 points per game.

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<em>Additional comment</em>

Sometimes, it is convenient to work with the average directly. Relative to the average Mark wants (10), his scores so far are +2, +4, 0, -2, -5, for a total of -1. In order to bring the average to the value Mark wants, he must bring this total to 0 or higher. That is, he must score at least 10+1 = 11 points in his next game.

5 0

3 years ago

The image below is a triangle drawn inside a circle with center O: Which of the following expressions shows the area, in square

s344n2d4d5 [400]

We know that
[area of a circle ]=pi*r²
diameter=4 in
r=4 in/2-----> 2 in

so
area=pi*2²-----> area of the circle=4*pi in²

the answer is
the area, in square inches, of the circle is <span>3.14 • 2²</span>

8 0

3 years ago

Read 2 more answers

Which statement about the solution of the inequality k<-3 1/4 is true?

Juliette [100K]

Answer: Last option

The number -8.4 is a solution to the inequality because -8.4 is located to the left of $-3\frac{1}{4}$ on the number line.