On a quiz worth 5 points, four students earned a 5, seven students earned a 4, six students earned a 3, two students earned a 2, and one student earned a zero. Find the average score. (round to the tenths place)

The average score is 3.5.

Step-by-step explanation:

The average of a data set is the middle value or the most typical value of the set. It computed by dividing the sum of observations by the number of observations.

The sample space of the scores are:

S = {5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 0}

Total number of students = 4 +7 + 6 + 2 + 1 = 20.

The average score is:

Thus, the average score is 3.5.

k = 1

P(t) = (t + 20)²

Step-by-step explanation:

P' = k√P = k P⁰•⁵

To solve for k,

P' = 10 rabbits/month

P = 100 rabbits

10 = k √100

10 = 10k

k = 1

To solve for P(t)

P' = dP/dt

(dP/dt) = kP⁰•⁵

dP/P⁰•⁵ = k dt

P⁻⁰•⁵ dP = k dt

∫ P⁻⁰•⁵ dP = ∫ k dt

2P⁰•⁵ = kt + c

At t = 0, P = 100

2(100)⁰•⁵ = 0 + c

2 × 10 = c

c = 20

2P⁰•⁵ = kt + c

2P⁰•⁵ = kt + 20

Recall, k = 1

2P⁰•⁵ = t + 20

P⁰•⁵ = (t + 20)

P(t) = (t + 20)²