The seventh- and eighth-grade classes surveyed 180 of their classmates to help decide which of three options is best to raise money for school activities. Some results of the survey are given here: 66 participants preferred having a car wash.
50 participants preferred having a bake sale.
64 participants preferred having a talent show.
98 participants were seventh graders.
16 seventh-grade participants preferred having a talent show.
15 eighth-grade participants preferred having a bake sale.
a. Complete the two-way frequency table that summarizes the data on grade level and options to raise money.

Car Wash Bake Sale Talent Show Total
Seventh Graders
Eighth Graders
Total
b. Calculate the row relative frequencies. Round to the nearest thousandth.

Car Wash Bake Sale Talent Show
Seventh Graders
Eighth Graders
Question 2
c. Is there evidence of an association between grade level and preferred option to raise money?

Explain your answer.

step-by-step explanation:

quartic functions has x = –1 and x = –2 as its only two real zeroes:

f(x) = a(x+2)(x+1)   a: real number

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.