Answer:
The radius of the cylinder is 
Step-by-step explanation:
we know that
The volume of the cylinder is equal to

we have


assume

substitute the values and solve for r




A number raised to an exponent is the number multiplied by itself the number of times the exponent is.
The exponent is 3, so this means 0.25 is multiplied by itself 3 times.
0.25^3 = 0.25 x 0.25 x 0.25
Answer:
The expected value of the winnings for a single-ticket purchase is -$1.0016.
Step-by-step explanation:
The total number of tickets sold is, <em>N</em> = 1250.
Cost of one ticket is, $4.
Let <em>X</em> = amount of prize.
The prize distribution is as follows:
1 Grand price = $3000
1 Second prize = $450
10 Third prize = $25
The expected value <em>X</em> can be computed using the formula:

Compute the probability distribution of <em>X</em> as follows:
Prize Amount (X) P (X) x · P (X)
1 Grand prize $3000

1 Second prize $450

10 Third prize $25

No prize -$4

TOTAL 1.0000 -1.0016
Thus, the expected value of the winnings for a single-ticket purchase is -$1.0016.
Answer:
7, Nora collected 7 shells.
Step-by-step explanation:
Xavier collected 12 shells whilist she collected 5 fewer then Xavier.
12 - 5 = 7
Therefore, Nora collected 7 shells at the beach.