Answer:
0.64 ± 0.1117 or
Step-by-step explanation:
Sample size (n) = 50
Z-score for a 90% confidence level (z) = 1.645
Proportion of students who read at least one book (p):
The confidence interval is calculated as:
By applying the provided information:
The confidence interval results in 0.64 ± 0.1117
Utilize the! operation to determine the count of combinations.
8!/5! = 40,320/120 = 336
1
2
3
Step-by-step explanation: Generally, during the roll of two fair 6-sided dice, the doubles result in (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6). Therefore, the total for doubles is N = 6. The outcome of rolling two fair 6-sided dice yields n = 36. Thus, the probability of rolling doubles (matching numbers on both dice) is calculated mathematically. When rolling two fair dice, outcomes that sum to 4 or less are (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1). Observing this, we see two doubles present. Consequently, the conditional probability of rolling doubles is represented mathematically. Lastly, when rolling the two fair dice, outcomes that show different numbers result in L = 30, while outcomes where at least one die shows a 1 give W = 10. Hence, the conditional probability of having at least one die show a 1 is presented mathematically.
The height of the triangle measures 5.2 inches. An equiangular triangle has equal measures for all interior angles, which means it is equivalent to an equilateral triangle. Since all angles equal 60 degrees, applying the Pythagorean theorem enables us to calculate the height based on the provided side length.
