What is the greatest common factor of the two expressions? 7a^2 8a^3b^2
1 answer:
Answer:
a²
Step-by-step explanation:
(see attached for reference)
We can find GCF by expressing each expression into their prime factors
7a² = 7 x a x a
8a³b² = 8 x a x a x a x b x b
by observation, we can see that a x a or a² shows up in both expressions, highlighted in bold here:
7a² = 7 x <em>a x a</em>
8a³b² = 8 x <em>a x a</em> x a x b x b
Hence the greatest common factor is a x a = a²
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Answer:
Step-by-step explanation:
We are given the following in the question:
Manager's claim: The mean guest bill for a weekend is $600 or less.
A member of the hotel’s accounting staff noticed that the total charges for guest bills have been increasing in recent months.
A sample of weekend guest bills were collected to test the manager’s claim.
We design the null and alternate hypothesis in the following manner:
Conclusion when null hypothesis cannot be rejected:
When we fail to reject the null hypothesis and accept the null hypothesis, thus, we have enough evidence to support the manager's claim that the mean guest bill for a weekend is $600 or less.
Conclusion when null hypothesis can be rejected:
When the null hypothesis is rejected, we accept the alternate hypothesis.
Thus, there are not sufficient evidence to support the manager's claim that the mean guest bill for a weekend is $600 or less.
