Write the quotient and the remainder for the following (x²-10x+24)÷(x+6)solve and answer plz
1 answer:
Answer:
On dividing, we found that the quotient is (x-4) and the remainder is equal to 0.
Step-by-step explanation:
We need to find the quotient and the remainder for the following (x²-10x+24)÷(x+6).
The numerator is (x²-10x+24) and the denominator is (x+6). It can be written as :
On dividing, we found that the quotient is (x-4) and the remainder is equal to 0.
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Answer:
c. The number of 7's in a randomly selected set of five random digits from a table of random digits.
True, for this case we have a value fixed for n =5 and the probability is defined for each number 1/10 assuming numbers (0,1,2,3,4,5,6,7,8,9) so then the random variable "The number of 7's in a randomly selected set of five random digits" can be modelled with the binomial probability function.
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The conditions to apply this distribution is that we have the parameters fixed n and p.
Let's analyze one by one the possible solutions:
a. The number of traffic tickets written by each police officer in a large city during one month.
False, the number of traffic tickets written by each police is not a fixed amount always, so then the value of n change and we can't apply a binomial model for this case.
b. The number of hearts in a hand of five cards dealt from a standard deck of 52 cards that has been thoroughly shuffled.
False, not all the hands of size 5 are equal and since we can't ensure this condition then the binomial model not apply for this case
c. The number of 7's in a randomly selected set of five random digits from a table of random digits.
True, for this case we have a value fixed for n =5 and the probability is defined for each number 1/10 so then the random variable "The number of 7's in a randomly selected set of five random digits" can be modelled with the binomial probability function.
d. The number of phone calls received in a one-hour period.
False, the number of phone calls change by the hour and is not always fixed so then we don't have a valu for n, and the binomial model not applies for this case.
e. All of the above.
False option C is correct.
Answer: The required ratio is 1:1.
Step-by-step explanation:
Let the total number of CDs be 100
of CDs is given by
According to question,
of her Jazz CDs represents
of all her CDs.
Let the number of Jazz CDs be x
So, it becomes
So, Number of Jazz's CDs is 50
Number of Jazz non CDs is given by
Ratio of her CDs to her non- CDs is given by
Hence, the required ratio is 1:1.