Answer:
X=20
Step-by-step explanation:
Sin(x+20)=cos(2x+10)
Sin(x+20)=sin(90-(2x+10)
X+20=90-2x-10
3x=60
X=20
Answer:
Pages 100 and 101
Step-by-step explanation:
Round 201 to 200 (to make it easier).
Divide 200 by 2, because it is 2 pages.
You are left with 100.
100 is one of the pages, but because you rounded down 1 number, the other number must be 101, because the pages are back to back.
I hope this made sense, this is just how I figured it out. :)
Answer:
Step-by-step explanation:
Hello!
Given the probabilities:
P(A₁)= 0.35
P(A₂)= 0.50
P(A₁∩A₂)= 0
P(BIA₁)= 0.20
P(BIA₂)= 0.05
a)
Two events are mutually exclusive when the occurrence of one of them prevents the occurrence of the other in one repetition of the trial, this means that both events cannot occur at the same time and therefore they'll intersection is void (and its probability zero)
Considering that P(A₁∩A₂)= 0, we can assume that both events are mutually exclusive.
b)
Considering that
you can clear the intersection from the formula
and apply it for the given events:


c)
The probability of "B" is marginal, to calculate it you have to add all intersections where it occurs:
P(B)= (A₁∩B) + P(A₂∩B)= 0.07 + 0.025= 0.095
d)
The Bayes' theorem states that:

Then:


I hope it helps!
Answer:
The correct statement is
The null hypothesis is 
The alternative hypothesis is 
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.18
The sample size is n = 1240 airplane
The number of airplane is k = 310
Generally the sample proportion is

=> 
=> 
The null hypothesis is 
The alternative hypothesis is 
Answer:143
Step-by-step explanation:
83
60
_
143