<span>When creating a subset of 5 elements from 7 elements, order should not matter. Therefore, we use the combination formula over the permutation formula.
The combination formula given n elements total and r elements used is n! / [r!*(n-r)!]. Substituting 7 for n and 5 for r, we get:
7! / (5!*2!) = 7*6 / 2 = 21
21 subsets can be created</span>
For the first picture using Pythagorean Theorem, we know that a^2 + b ^2 = c^2 but since we only know c ( 99.2) and b ( 62 ) we need to use the theorem to find a the equation we use for that is :
A = square root of ( c^2 - B^2 )
A = 77.44
Answer:
1120°
Step-by-step explanation:
Use the sum of interior angles formula:
Where n is the number of sides.
In a nonagon, there are 9 sides, substitute 9 for n:
Since our nonagon is a regular nonagon, all 9 angles measure the same, so each angle measures:
Subtract 140 from 1260:
Answer:
C
Step-by-step explanation:
Definition: Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring.
Event A = getting a 4 on the first roll.
Event B = getting a 4 on the second roll.
True option C: A and B are independent events, because the probability of the first roll will not affect the probability of the second roll.
