Answer:
njlaffbbglakngbaabhhet
Step-by-step explanation:
A, B, E, and F are mathematical sentences.
<em>Answer:</em>
<em>The right side of the equation is only a different way of writing the left side, so any value of x will solve this equation.
</em>
<em>
</em>
<em>The equation −
2
( x + 3 ) = −
2
x − 6 does not have any specific solutions for the simple reason that the left and rigth sides are two representations of the same equation.
</em>
<em>
We have −
2
( x + 3 ) means that each term inside the parenthesis should be multiplied with −
2
, i.e.</em>
<em>
−
2
( x + 3
) = −
2 ⋅ x − 2 ⋅ ( + 3
) = −
2
x − 6
</em>
<em>
</em>
<em>Which is exactly what the right side says.
</em>
<em>
</em>
<em>Any value of x will, therefore, fulfill this equation.</em>
A.40,48 is the right answer
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>
