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Answer:
The two numbers are 12 and 30
Step-by-step explanation:
Both numbers are greater than 6
Their HCF is 6 and their LCM is 60.
A possible guess of the two numbers will be 6 and 60, which were given in the question, because they satisfy this HCF and LCM values, but the question also tells us that both numbers are greater than 6.
Now, we will obtain the answer using what we have.
Since the HCF is 6, that means that both numbers that we seek are a multiple of 6.
Next, the LCM is 60. We can divide the LCM by the HCF, that is = 10
This tells us that the two numbers are within 6 and (6 × 10).
Next we write out the factors of the 10 that we got by dividing the LCM by the HCF.
Factors of 10 are: 1, 2, 5 and 10.
We multiply each of this by 6 (which is the HCF, recall that we had said that HCF means that the numbers are a multiple of 6), to get the numbers; <em>6, 12, 30 and 60</em>
Since 6 and 60 are already the given LCM and HCF, the two numbers that we seek are 12 and 30.
Answer:
A. .1070
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent from other customers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Forty-four percent of customers who visit a department store make a purchase.
This means that
What is the probability that in a random sample of 9 customers who will visit this department store, exactly 6 will make a purchase?
This is when n = 9. So
So the correct answer is:
A. .1070