For the standard normal distribution Z, the mean μ =0
and σ the standard deviation = 1
a) P(0 ≤ Z ≤ 1.5) →P(Z=1.5) - P(Z=0)
P(0 ≤ Z ≤ 1.5)= 0.9332 - 0.5 = 0.4322
b) P(Z ≥ 2.5) →P(Z=2.5) = 1- P(Z=2.5)
P(Z ≥ 2.5) = 1- 0.9938 = 0.0062
c) P(Z≥ 3.5) = 1- P(Z = 3.5) = 0
OR P(Z≤ 3.5) = 0
If you use a distributive or multiply is all kind a same
Answer:
y=2x+3 is non-proportional. y=5x is proportional.
Step-by-step explanation:
y=2x+3 is not proportional because there is the +3. also, when it is graphed on a graph, the line does not pass through the origin/zero.
y=5x is proportional because it does not have any other values attached to the y value. when it is graphed, the lie goes through the origin/zero.
Answer:
$0.50
Step-by-step explanation:
$2.50 equals 5, so divide $2.50 by 5 to get 1. $2.50 divided by 5 equals $0.50.
Denote points:
- G - gas station;
- M - motel;
- S - sister's home.
These three points lie on the same line in order M, G and S. The distance MS=341 mi and MS=GM+GS.
It takes Doug 3 hours to go to a motel from gas station (GM) and it takes 2.5 hours Ashley to go to a sister's home from gas station (GS). The total time is 3+2.5=5.5 hours.
Then using the formula d=rt, you can conclude that
341=5.5·r,
r=341:5.5,
r=62 mi/h.
Answer: 62 mi/h.