Answer: 0.31
Step-by-step explanation:
Let A signifies the event of the Tampa Bay Buccaneers scoring a touchdown on their initial drive while B signifies the occurrence of their defense achieving 3 or more sacks during the game.
Given: P(A)=0.14 P(B) = 0.31 P(A or B)=0.14
Formula: P(A and B)= P(A) + P(B) - P(A or B)
Now, we calculate the probability of both scoring a touchdown on the initial drive and achieving 3 or more sacks in the game as follows:-
P(A and B)= 0.14 + 0.31 - 0.14=0.31
Therefore, the required probability is: 0.31
Hello!
Before you tackle any problems, it's essential to designate which scenario represents event A and which corresponds to event B. I usually follow the order they are presented in the question, so:
A = S<span>tudent participates in student council
B = S</span><span>tudent participates in after school sports
Any problem that mentions "given" in the question will need to refer to </span>P(A | B)<span> = P(</span>A ∩ B)/P(B). P(A | B) essentially represents the "probability of event A, given that event B has occurred." Meanwhile, P(A ∩ B) denotes the likelihood of both A and B taking place, while P(B) signifies just the probability of event B happening. All required information has been provided, so:
P(A | B) = P(A ∩ B)/P(B)
P(A | B) = 11% / 62%
P(A | B) = 0.11 / 0.62
P(A | B) = 0.18
Thus, there is approximately an 18% probability that <span>a student is involved in student council, given participation in after school sports.
I hope this was helpful!:-)</span>
Let L represent the yards in a roll of lace ribbon and S represent the yards in a roll of satin ribbon. We can formulate two equations: 3L + 2S = 120 yards (Equation 1) and 2L + 4S = 160 yards (Equation 2). If we multiply Equation 1 by 2 and subtract Equation 2, we have: 6L + 4S = 240 yards (Equation 1) and 2L + 4S = 160 yards (Equation 2). Thus, 4L equals 80 yards, leading to L equating to 20 yards. For Equation 1, substituting gives 3(20 yards) + 2S = 120 yards, leading to 2S equal to 60 yards, so S equals 30 yards. Therefore, a roll of lace ribbon contains 20 yards, while a roll of satin ribbon has 30 yards.
Answer: 1.7 feet. Step-by-step explanation: We assume the goal is to find 'A', and that individuals are positioned shoulder-to-shoulder. Therefore, (327,495 miles)/(10^9 persons) equals (3.27495 × 10^5 miles)/(10^9 persons) multiplied by (5280 ft/miles), leading to = 1.7291736 × 10^9 ft/(10^9 persons), resulting in 1.7292736 ft/person, approximately 1.7 ft/person.
