To find the maximum number of identical packs we see we have 72 pencils and 24 calculators.
This involves discovering the largest number that divides both 72 and 24 evenly,
which is known as the GCM or greatest common multiplier.
To determine the GCM, factor 72 into primes and group them:
72=2 times 2 times 2 times 3 times 3
24=2 times 2 times 2 times 3
Thus, the common grouping is 2 times 2 times 2 times 3, equating to 24.
Therefore, the maximum number of packs is 24.
For pencils:
72 divided by 24=3
Resulting in 3 pencils per pack.
For calculators:
24 divided by 24=1
So, 1 calculator per pack.
The outcome is 3 pencils and 1 calculator in each pack.
P(S) = Probability of Smash = 0.05 (5%)
P(M) = Probability of Modest = 0.5 (50%)
P(F) = Probability of Flop = 0.45 (45%)
Based on this, we utilize the model for discrete random variables, leading to:
E(X) = (0.05 * 5.2) + (0.5 * 0.9) + (0.45 * 0)
= 0.26 + 0.45 + 0
= 0.71 Mill'
Result: OPTION D.
Step-by-step reasoning:
The total cost for Lindy can be calculated employing the expression given in the task:

Here, "d" signifies the drinks ordered and "t" represents the toppings on a medium pizza she selects.
Since she and her friends order 4 drinks alongside a medium pizza that includes 3 toppings, you can derive the total cost by substituting these values into the provided expression.
The values are:

Upon substituting into the expression and performing the calculations, the result is:

Response:
The height of the water when it reaches 4 inches is
.
Detailed Explanation:
Flow rate of water from the cone = R=
Height of the cup = h = 6 inches
Radius of the cup = r = 3 inches

r = h/2
Volume of the cone = 






h = 4 inches



The height of the water when it is 4 inches deep is
.