Answer:LetAbe the event that the person is taking the drug. We are told thatP(A) = 0.05.LetBbe the event that the person has migraines. We are told thatP(B) = 0.1.Further, we are told thatP(B|A) = 0.3. Using the rules for conditional probability,P(A|B) =P(A∩B)P(B)=P(B|A)P(A)P(B)=0.3·0.050.1=0.15.The probability that a migraine sufferer takes the drug is 15%.
Step-by-step explanation:
Jacinta has 2 blue marbles , 4 red marbles and 5 green marbles in a bag, all the marbles are the same size, she will select one marbles from the marble from the bag without looking what is the possibility that Jacinta will choose the green marble
Answer:
<h3>0.1</h3>
Step-by-step explanation:
Probability = expected outcome/total outcome
If a bag contains 3 red balls, 8 blue balls and 11 white balls, then the total outcome will be;
Total outcome = 3 + 8 + 11 = 22 balls
Since we are drawing two balls with replacement;
Probability of drawing red ball = number of red/total outcome = 3/22
Probability of drawing white ball = number of while/total outcome = 11/22 = 1/2
Probability of drawing red first and then white = 3/22 * 1/2
Probability of drawing red first and then white = 3/44
To the nearest tenth, 3/44= 0.1
In percent = 6.8%
Answer Q3:
A) 2/6
This decimal would be written as 0.33333333 and on.
I don't get number 4 but I'm pretty sure its A because 12 times 12 is 144 and and you have to add the 18.
The sum of any arithmetic sequence is the average of the first and last terms times the number of terms.
Any term in an arithmetic sequence is:
a(n)=a+d(n-1), where a=initial term, d=common difference, n=term number
So the first term is a, and the last term is a+d(n-1) so the sum can be expressed as:
s(n)(a+a+d(n-1))(n/2)
s(n)=(2a+dn-d)(n/2)
s(n)=(2an+dn^2-dn)/2
However we need to know how many terms are in the sequence.
a(n)=a+d(n-1), and we know a=3 and d=2 and a(n)=21 so
21=3+2(n-1)
18=2(n-1)
9=n-1
10=n so there are 10 terms in the sequence.
s(n)=(2an+dn^2-dn)/2, becomes, a=3, d=2, n=10
s(10)=(2*3*10+2*10^2-2*10)/2
s(10)=(60+200-20)/2
s(10)=240/2
s(10)=120
