On a team’s opening day, fans in a baseball stadium were asked how many home games they plan to attend this season. the histogram shows the results. how many fans plan on attending at least than 20 games?
a) 32
b) 25
c) 17
d) 8

ms. donahue uses 4 essays as the basis for her grading. each essay counts as a percent of the final average.

essay 1 10%
essay 2 15%
essay 3 25%
essay 4 50%

joel had the following scores for his work: essay 1, 85; essay 2, 90; essay 3, 80; and, essay 4, 100.
what is joel's expected final average?
a) 86
b) 89
c) 90
d) 92

Assuming the question wants to know how many fans plan on coming to atleast 20 games,

You look at the histogram, sum up the number of fans greater than x=20, that is the last 4 bars.

These are

Hence, A is the correct answer.

For 2nd question, it is a weighted average, not a normal average. We need to multiply each score by the percentage it is worth and then divide by the total percentage. We have,

Expected final average (or weighted average) = percent

Hence, D is the correct answer.

First Question: A

Second Question: D

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.