Answer:
Step-by-step explanation:
Part 1
P(z < -1.45)
Using the z score table
P =
Part 2
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
a) P(X >52)
x = 52
Mean = 60
Standard deviation = 8
z = 52 - 60/8
z = -1
P-value from Z-Table:
P(x<52) = 0.15866
P(x>52) = 1 - P(x<52) = 0.84134
b) P(48 < x < 64)
When given the scale factor and the factored size of the object, to find the original size, divide the factored size by the scale factor:
0.8 / 3.1 = 0.258 inches
Answer:
Step-by-step explanation:
The only thing you need to watch carefully is the divisor which in this case is x - 3. The divisor, in synthetic division, is the number that will make the binomial go to 0.
x - 3 =0
x = 3
So the divisor is 3.
3 || 2 4 -35 15
6 30 -15
======================
2 10 -5 0
So the quotient is
2x^2 + 10x - 5 with no remainder
The distance between the trains is changing at the rate of (70 -60) = 10 mph. They will be in the same place (45 mi)/(10 mi/h) = 4.5 hours after they leave their respective cities. They will be 10 miles apart both 1 hour before that time and one hour after that time.
The trains will be 10 miles apart 3.5 hours after leaving.
They will be 10 miles apart the second time 5.5 hours after leaving.
