Direct variation is y = kx where y would be the value of the number and x would be its position in the sequence, k is a constant
so for consecutive values y/x would be a constant k
In this case its not true becuse for example 3/1 = 3 and 6/3 = 2
so there is no direct variation here.
Answer:
x = 72 and they are a linear pair making them supplementary angles
Step-by-step explanation:
144 + (x - 36) = 180
108 + x = 180
<u>-108 -108</u>
x = 72
Answer: b,c,e
Step-by-step explanation:
Just trust
Answer:
P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
Step-by-step explanation:
Mean = 63
Standard Deviation =6
We need to find probability that X lies between 45 and 81 i.e P(45<X<81)
First we will find z-score for X=45 and X=81
For X=45 the z-score can be found using formula:
Putting values and finding z-score
For X=45, z-score is -3
For X=81 the z-score can be found using formula:
Putting values and finding z-score
For X=81, z-score is 3
Now finding the probability of P(-3<z<3)
It can be solved as:
P(-3<z<3)=P(z<3)-P(z<-3)
Looking at the z-score table to find
P(z<3)= 0.9987
P(z<-3)=0.0013
So, P(-3<z<3)=P(z<3)-P(z<-3)
P(-3<z<3)=0.9987 - 0.0013
P(-3<z<3)=0.9974
or P(-3<z<3)= 99.74%
So, P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%