Answer:
x=y
Step-by-step explanation:
-let x be the number of tennis balls and y the number of rackets.
-We divide the number of balls by the number of rackets to find out their ratio of proportionality:
-Hence, for each one tennis ball, there is a tennis racket.
#This is a direct linear relationship and is modeled as graphed in the attachment:
Answer:
the probability is P=0.012 (1.2%)
Step-by-step explanation:
for the random variable X= weight of checked-in luggage, then if X is approximately normal . then the random variable X₂ = weight of N checked-in luggage = ∑ Xi , distributes normally according to the central limit theorem.
Its expected value will be:
μ₂ = ∑ E(Xi) = N*E(Xi) = 121 seats * 68 lbs/seat = 8228 lbs
for N= 121 seats and E(Xi) = 68 lbs/person* 1 person/seat = 68 lbs/seat
the variance will be
σ₂² = ∑ σ² (Xi)= N*σ²(Xi) → σ₂ = σ *√N = 11 lbs/seat *√121 seats = 121 Lbs
then the standard random variable Z
Z= (X₂- μ₂)/σ₂ =
Zlimit= (8500 Lbs - 8228 lbs)/121 Lbs = 2.248
P(Z > 2.248) = 1- P(Z ≤ 2.248) = 1 - 0.988 = 0.012
P(Z > 2.248)= 0.012
then the probability that on a randomly selected full flight, the checked-in luggage capacity will be exceeded is P(Z > 2.248)= 0.012 (1.2%)
Answer:
400
Step-by-step explanation:
10 movies * 5 drinks * 8 candy = 400 ways different ways to choose
Answer:
whole numbers or integers
Step-by-step explanation:
Answer:
15.4mm
Step-by-step explanation:
108/7
