X=3 and x=-9 solve by factoring
Answer:
(a) The expected number of guests until the next one pays by American Express credit card is 4.
(b) The probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the number of guests until the next one pays by American Express credit card
The probability that a guest paying by American Express credit card is, <em>p</em> = 0.20.
The random variable <em>X</em> follows a Geometric distribution since it is defined as the number of trials before the first success.
The probability mass function of <em>X</em> is:

(a)
The expected value of a Geometric distribution is:

Compute the expected number of guests until the next one pays by American Express credit card as follows:



Thus, the expected number of guests until the next one pays by American Express credit card is 4.
(b)
Compute the probability that the first guest to use an American Express is within the first 10 to checkout as follows:


Thus, the probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.
Answer: The correct option is A.
Step-by-step explanation: We are given a polynomial which is a sum of other 2 polynomials.
We are given the resultant polynomial which is : 
One of the polynomial which are added up is : 
Let the other polynomial be 'x'
According to the question:


Solving the like terms in above equation we get:


Hence, the correct option is A.
Answer:
1. Median = 10.1
2. A. The median represents the center.
3. D. The mode(s) can't represent the center because it (they) is(are) not a data value.
Step-by-step explanation:
Mean of a sample = sum of the samples/no of the samples
Samples in increasing order:
9.8
9.8
9.9
10.1
10.4
10.6
11.1
Mode is the sample with highest frequency.
Median is the middle entry of the data.
Mean = (9.8 + 9.8 + 9.9 + 10.1 + 10.4 + 10.6 + 11.1)/7
= 717/7
= 10.243
Median = 10.1
Mode = 9.8 because it has the highest frequency of 2
Answer:
B
Step-by-step explanation:
In the case of this distance, trying to imagine 5 x 10^6 is obviously way too ridiculous