45 POINTS Roll of Number Cube
A number cube of questionable fairness is rolled 100 times.
0.24
0.22
The probability distribution shows the results.
What is P (3 < x < 5)?
0.20
0.18
0.16
0.14
Enter your answer, as a decimal, in the box.
Probability
0.12
0.10
0.08
0.06
0.04
0.02
0.00
1
2 3 4 5 6
Number rolled

d

step-by-step explanation:

table 3 represents a direct variation function. : )

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.