The correct answer is true:)
Answer:
0.25 Converges
Step-by-step explanation:
First, we need to expand our series so that we get the following:

We can then use the series ratio test on each term. (L < 1 = absolutely convergent)

=
⇒ converges


⇒ converges
converges + converges
= converges
~Hope this helps! Once again, sorry if my explanation is a bit confusing~
Answer:
P(2 red in 5 offspring) = 26.4%
P(no more than 2 red flowers) = 65.9%
Step-by-step explanation:
P(red) = 25%
P(white) = 75%
P(2 red in 5 offspring) = 5C2 P(red)*P(red)*P(white)*P(white)*P(white)
= 10 * 0.25 * 0.25 * 0.75 * 0.75 * 0.75 = 26.4%
P(no more than 2 red flowers) = P(1 red in 5 offspring) + P(2 red in 5 offspring)
= 5C1 P(red)*P(white)^4 + 0.2637
= 5 * 0.25 * 0.75* 0.75 * 0.75 * 0.75 + 0.2637
= 0.6592 = 65.9%
Length of the line segment is 5 units.
Step-by-step explanation:
- Step 1: Length of the line segment that connects A and B is the distance between the points A (1, -1) and B(1, 4). x1 = 1, x2 = 1, y1 = -1, y2 = 4
- Step 2: Calculate the distance using distance formula √(x2 - x1)² + (y2 - y1)²
⇒ Length = √(1 - 1)² + (4 - -1)² = √5² = 5 units