A sample of size n taken from a population with mean = µ and standard deviation = σ has sample mean = µ and sample s.d. = σ/√n.
If the final exam scores are normally distributed, and X is a random variable for the mean of a sample, then
Pr[X < 70] = Pr[(X - 73) / (7.8/√24) < (70 - 73) / (7.8/√24)]
… ≈ Pr[Z < -1.8842]
… ≈ 0.0298
(where Z is normally distributed with µ = 0 and σ = 1).
Answer:
C) Linear
Step-by-step explanation:
We can see from the plot that the data approach a straight line.
This means we can draw a line of best fit through this data and it should hit several data points; thus the answer is linear.
Answer:
15 m/s
Step-by-step explanation:
Velocity is the derivative of position:
v(t) = s'(t) = 24 +6t -3t^2
v(3) = 24 +3(6 -3·3) = 15
At t=3 seconds, the velocity of the body is 15 m/s.
the answer is 0.000000007
There were 200 students that attend the dance.