Answer:
C, D
Step-by-step explanation:
Step 1: (3^2)^3 * 3^6 / 3^4
Step 2: (9)^3 * 3^6 / 3^4
Step 3: 729 * 3^6 / 3^4
Step 5: 729 * 729 / 3^4
Step 6: 531441 / 3^4
Step 7: 531441 / 81
Step 8: <u><em>6561</em></u>
A = 27
B = 2187
<u><em>C = 6561</em></u>
<u><em>D = 6561</em></u>
E = 2187
Answer:
<u><em></em></u>
- <u><em>Yes, it is reasonable to expect that more than one subject will experience headaches</em></u>
Explanation:
Notice that where it says "assume that 55 subjects are randomly selected ..." there is a typo. The correct statement is "assume that 5 subjects are randomly selected ..."
You are given the table with the probability distribution, assuming, correctly, the binomial distribution with n = 5 and p = 0.732.
- p = 0.732 is the probability of success (an individual experiences headaches).
- n = 5 is the number of trials (number of subjects in the sample).
The meaning of the table of the distribution probability is:
The probability that 0 subjects experience headaches is 0.0014; the probability that 1 subject experience headaches is 0.0189, and so on.
To answer whether it <em>is reasonable to expect that more than one subject will experience headaches</em>, you must find the probability that:
- X = 2 or X = 3 or X = 4 or X = 5
That is:
- P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5).
That is also the complement of P(X = 0) or P(X = 1)
From the table:
- P(X = 0) = 0.0014
- P(X = 1) = 0.0189
Hence:
- 1 - P(X = 0) - P(X = 1) = 1 - 0.0014 - 0.0189 = 0.9797
That is very close to 1; thus, it is highly likely that more than 1 subject will experience headaches.
In conclusion, <em>yes, it is reasonable to expect that more than one subject will experience headaches</em>
Known information:
- the sum of three numbers: 24
- the smallest number is 2 less than the largest number
- the largest number is equal to the sum of the smallest and middle number.
Let us set up some variables for our terms:
- smallest number --> S
- middle number --> M
- largest number -- L
Let us set up some equations in terms of our known information
- S + M + L = 24
- S = L - 2
- L = S + M
Let us set up everything in terms of L, because in the first equation, we will be able to get rid of all the other variables but L allowing us to solve the equation:
(S + M) + L = 24 ---> L + L = 24
2L = 24
L = 12
Since L = 12, we know that S = L - 2:
S = L - 2 = 12 - 2 = 10
Since now we know that L = 12, and S = 10, and L = S + M:
L = S + M
12 = 10 + M
M = 2
So our answer is 2, 10, 12
Hope that helps!
Answer:
1.D) Procedure results in a binomial distribution.
2. B) Procedure results in a binomial distribution.
Step-by-step explanation:
The binomial distributions has following properties.
- There is always one of the two outcomes success or failure possible.
- The probability of p remains constant for all trials.
- The successive trials are all independent.
- The experiment is repeated for a fixed number of times.
If the experiment has the above properties it has binomial probability distribution.
In the given question both experiments have the above mentioned properties.
Both procedure result in binomial distribution.
Y =8
3(-4) +2y=4
3x-4=-12
-12 +2y=4
+12 +12
2y =4+12=16
2y\2= 16/2
Y= 8 :)
