Answer:
x=6
Step-by-step explanation:
The LCM of 7 and 12 is 84 and GCF of 56 and 96 is 8, 56+96 can be written as 8(19).
<h3>What is LCM?</h3>
It is defined as the common number of two integers, which is the lowest number that is a multiple of the two or more numbers. The full name of LCM is the least common multiple.
LCM of 7 and 12:
7 can be divided by 7
Factor of 12 is 2×2×3
So the LCM = 7×2×2×3 = 84
For GCF:
We know:
GCF(56, 96) = (56×96)/LCM(56, 96)
GCF(56×96) = (56×96)/672 = 8
= (56 + 96)
= 8(7+12)
= 8(19)
Thus, the LCM of 7 and 12 is 84 and GCF of 56 and 96 is 8, 56+96 can be written as 8(19).
Learn more about the LCM here:
brainly.com/question/20739723
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Answer:
f(g(x)) = g(f(x)) = x
Step-by-step explanation:
Lemma;
If f(x) and g(x) are inverses, then the compositions f(g(x)) = g(f(x)) = x
Answer:
The correct option is;
Two-tailed test
Step-by-step explanation:
From the interpretation of the question statement, the trader wants to conduct a hypothesis test on the trader's claim that the proportion of stocks that offer dividends is different from 0.14
Given that the difference is hypothesized, then the null hypothesis, H₀ and the alternative hypothesis, H₁ should be written as follows;
H₀: Null hypothesis (no difference, or no change)
H₁: μ ≠ μ₀ which is hypothesizing difference which is known as a two-tailed test
The confidence level is then selected and the test statistic is calculated