While nearly all toddlers and preschool-age children eat breakfast daily, consumption of breakfast dips as children grow older. the youth risk behavior surveillance system (yrbss) monitors health risk behaviors among u. s. high school students, which include tobacco use, alcohol and drug use, inadequate physical activity, unhealthy diet, and risky sexual behavior. in 2015, the survey randomly selected 3470 9th-graders and 3301 12-graders and asked them if they had eaten breakfast on all seven days before the survey. of these students, 1374 9th-graders and 1116 12-graders said yes. do these data give evidence that the proportion of 12th-graders who eat breakfast daily is lower than the proportion of 9th-graders eating breakfast daily? exercises 23.9 through 23.12 are based on these results.

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.