ANSWER
EXPLANATION
The given complex number expression is:
We expand using the distributive property to get;
Recall that,
Our expression now simplifies to:
33.33? im not sure, but you do a/b=p/100. p is the percent, a is the part of the whole number, b. so the equation would be 20/b=60/100. then you do cross multiplication (60b=2000) then you divide.
Using proportions, it is found that out of the next 75 couples asked, 49 will have at least one spouse that prefers action movies.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Researching this problem on the internet, it is found that out of 150 couples initially surveyed, 26 + 25 + 12 + 22 + 13 = 98 couples had at least one spouse preferring action movies, hence the proportion is:
p = 98/150 = 0.6533.
Out of the next 75 couples, the amount is:
A = 0.6533 x 75 = 49
Hence, out of the next 75 couples asked, 49 will have at least one spouse that prefers action movies.
More can be learned about proportions at brainly.com/question/24372153
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Yes,according to the law of Detachment
Step-by-step explanation:
According to the law of detachment, in mathematical logic two statements are true;
a) If p then q
b)p
The we can derive a third statement q
Given: If the power has been cut, then the refrigerator does not work
Let p be the statement 'the power has been cut' and q be the statement 'the refrigerator does not work' the the two statements can be written as
1) If p the q
2) p
we can conclude that q is true, the refrigerator does not work.
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Law of Detachment : brainly.com/question/11132358
Keyword: Law of Detachment
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