7. Patrick tosses a penny and a number cube, with faces numbered 1 through 6, at the sume time.
A. Are the events dependent or independent Lxplain your thinking,
the events are independent because me out
GOMG of one does not affect the outcome of t
B. What is the probability char che penny will land on heads and the number cube will
land on a multiple of 32 Show your work.
U can ignore the first one I answered I need help on B

B. 1/3 or 33.3%

Step-by-step explanation:

H- 1 ,2 ,3, 4, 5, 6

T- 1, 2, 3, 4, 5, 6

Multiples of 3: 3, 6, 9, 12, etc..

2/6 simplified is 1/3

So, the probability that the penny will land on heads and the number cube will land on a multiple of 3, is 1/3 or 33.3%

(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.