Answer:
A is not a right triangle
B is a right triangle
Step-by-step explanation:
A.
6^2 = 36
12^2 = 144.
36 + 144 = 180
15^2 = 225
180 ≠ 225, so it is not a right triangle
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B.
5^2 = 25
12^2 = 144
25 + 144 = 169
13^2 = 169
169 = 169, so it is a right triangle
Answer:
Attached: The red graph is a graph of g(x) = -2x + 2
The blue grap is the graph of g'(x) = -x/2 + 1
Step-by-step explanation:
To find the inverse of g(x) = -2x + 2
First replace g(x) with y;
y = -2x + 2
Then take y to the right and x to the left;
x = -2y + 2
Solving for y gives;
2y = -x + 2
y = -x/2 + 1
Replacing y now with g'(x) gives;
g'(x) = -x/2 + 1
The graphs of g(x) = -2x + 2 and its inverse are attached.
Answer:
Yes, good for him. lol
Step-by-step explanation:
Answer:18.4
Step-by-step explanation:
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>
