Answer:
1000 times
Step-by-step explanation:
Answer:
11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.
This means that
20 adults
This means that
Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.
This is P(X = 12).
11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.
To change a/x=d/a to <span>a²=cd, you need to take the following steps:
1. Pass the "a" to the left side and the "c" to the right side:
(a)(a)/c=d
(a)(a)=cd
2. Finally, multiply "a" by "a":
a</span>²=cd (By definition, when you have to multiply exponents with the same base, you should add the exponents. As you can see, both bases "a" have exponents 1, so, when you multiply them, you have to rewrite the base and then add these exponents: a^1+1=a²).<span>
</span>
Answer: The filled out table is shown below
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Explanation:
We have three variables p,q, and r. So we'll have 2^3 = 8 different rows as this table indicates. The 8 rows is to ensure that we handle all possible T/F values for the three variables.
This is where things could get tricky, but I recommend listing four copies of T in the first column, and then four copies of F right below it. That takes care of column p. For column q, we'll have two copies of TTFF to get 8 values total. Then finally column r will have four copies of T,F repeated. This takes care of all possible combos to help fill out the rest of the table.
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For the column labeled ~p, we'll basically flip everything you see in column p. If something is true, then flip it to false, or vice versa. This is the negation of p. The same will go for the ~r column as well.
For the ~p v q column, we'll do a disjunction between ~p and q. A disjunction is only false when both pieces are false; otherwise it's true. So ~p v q is only false when both ~p and q are together false. The v symbol stands for "or".
The last column is doing a conjunction between the (~p v q) column and the ~r column. A conjunction is only true when both pieces are true; otherwise it's false. It's effectively the reverse of a disjunction. The upside down v symbol stands for "and".
Again the filled out table is shown below. It might help to use a piece of paper to cover up some of the rows if things get too cluttered.
Answer:
<h3>1</h3>
Step-by-step explanation:
Sum of nth term of a GP is expressed as;
Sn = a(r^n-1)/r-1
The sum of the first 8 terms of a GP is expressed as;
S8 = a(r^8 - 1)/r-1
The sum of first 4 terms is expressed as;
S4 = a(r^4 - 1)/r-1
If the sum of the first 8 terms of a GP is five times the sum of first 4 terms then
S8 = 5S4
a(r^8 - 1)/r-1 = 5[a(r^4 - 1)/r-1]
r^8 - 1 = 5(r^4 - 1)
r^8 - 1 = 5r^4 - 5
r^8 - 5r^4 = -5+1
r^4(r^4 - 5) = -4
r^4 - 5 = -4
r^4 = -4+5
r^4 = 1
r = 1
Hence the common ratio is 1