To begin, calculate the entire area of the pizza. The area of a rectangle is determined by multiplying its length and width.
Area = 21 x 36 = 756 square inches
Next, we must divide the total area with the largest possible square configuration without any leftovers. Thus, we equate the pizza's area to that of a square:
A = s² = 756
s = 6 √21
Therefore, the maximum achievable square piece has a side measuring 6 inches. We then divide the pizza's total area by the area of each square unit to ascertain the quantity of pieces;
756/6² = 21
Hence, 21 pieces of 6-inch square pizza can be cut.
Answer:
247
Step-by-step explanation:
1, 4, 11, 26, 57, 120. The emerging pattern of the series is as follows:
4–1 = 3; 3–1 = 2 = 2^1
11–4 = 7; 7 - 3 = 4 = 2^2
26 - 11 = 15; 15 - 7 = 8 = 2^3
57 - 26 = 31; 31 - 15 = 16 = 2^4
120 - 57 = 63; 63 - 31 = 32 = 2^5
Thus, the next number should be 64+63 = 127+120 = 247.
Verification: 247–120 = 127; 127–63 = 64 = 2^6, which checks out.
So, the following number is indeed 247. 2^n+(n-1)
Answer:
There is a 1.5267% chance that he loses AT MOST 3 times.
Step-by-step explanation:
Each game Andy plays has only two outcomes: a win or a loss. The probability of winning doesn’t depend on previous games, leading us to use the binomial probability distribution for this situation.
Binomial probability distribution
This distribution calculates the probability of achieving exactly x successes in n trials with only two possible outcomes for X.
Where 
signifies the various combinations of x objects from a set of n elements, calculated using:
And p represents the likelihood of X occurring.
The winning probability for a certain carnival game is 2 out of 5.
This implies a losing chance of (5-2) in 5, equaling 3 out of 5.
Thus, 
Considering 12 games:
Consequently, 
.
What probability is there that he loses AT MOST 3 times?
.
Where:
The likelihood of losing AT MOST 3 times is 1.5267%.
By solving the equation Log(x/7300000000) = 5.6, we can express it as follows: x/7300000000 = 10^5.8 which equals 398107.17. Therefore, after performing the necessary calculations, we find that x equals approximately 2.9061823 x 10^15.
