Question 3
if 7x = 28
divide both sides by 7
7x/7 = 28/7
x = 4
This is division property of equality
Question 1
if angle m is 80 degrees the m = 80 degrees
this can be a congruent angles or alternate angles are equal
this is symmetric property of equality
Question 5
m1 = 30 and mz1 = m2, then m2 = 30
this property is transitive property of equality
Question 2
if RS - TU and TU =YP, then RS = YP
this means you can substitute RS with YP
then we have our new expression as
YP - YP
this is substitution property of equality, this is because we are substituting a function with another function
To calculate the inverse isolate x on one side and switch x with y on both sides
1)
y=(2x-3)/5
5y=2x-3
5y+3=2x
(5y+3)/2=x
-> f(x)=(5x+3)/2
2)
y=(x+8)/2
2y=x+8
2y-8=x
-> f(x)=2x-8
3)
y=(x+2)/7
7y=x+2
7y-2=x
-> f(x)=7x-2
4)
y=(1-2x)/x
y=(1/x)-2
y+2=1/x
x=1/(y+2)
-> f(x)=1/(x+2)
Answer:
a) 0.0025
b) 0.9975
c) 23.03 minutes
d) 23.03 minutes
Step-by-step explanation:
Let X be the random variable that measures the time waited for a taxi.
If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is
a)
1 hour = 60 minutes, so the probability that you wait longer than one hour is
b)
Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes
c)
We want x so that
P(X>x)=0.1
d)
We want P(X<x)=0.9
Answer:
You didn't tell me what to do
Step-by-step explanation: