Members of a band class were arguing over which instruments are played by the best academic students. A survey was conducted, and here are the results: All 13 1313 flute players had a grade point average (GPA) between 3.84 3.843, point, 84 and 3.88 3.883, point, 88. There were only 3 33 percussionists. One had a GPA of 2.4 2.42, point, 4, one had a GPA of 2.8 2.82, point, 8, and one had a GPA of 3.2 3.23, point, 2. Among the saxophone players, 4 44 had a GPA of 3.9 3.93, point, 9, and the other 5 55 had a GPA of 4.0 4.04, point, 0. For percussionists, the median GPA is the mean. For saxophones, the median GPA is the mean. The standard deviation for GPA's of flutes is the standard deviation for GPA's of saxophones.

a. she will receive a refund of $278.

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

answer: a) 56% women

b)44% men

step-by-step explanation: