The line plot below shows the lengths of bolts Mr. Slivka found in his drawer. He needs 16 bolts that are longer than 1 inch for
a project he is working on. Does he have enough bolts for his project? A line plot named A. Yes. There are 16 bolts that have lengths greater than 1 inch, which is just enough. B. Yes. There are 18 bolts that have lengths greater than 1 inch, which is more than enough. C. No. There are only 3 bolts with lengths greater than 1 inch, which is not enough. D. No. There are only 12 bolts that have lengths greater than 1 inch, which is not enough
1 answer:
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Answer:
The probability that a randomly chosen plate contains the number 2222 is 0.000028 approximately.
The probability that a randomly chosen plate contains the sub-string HI is 0.002548 approximately.
Step-by-step explanation:
Consider the provided information.
Illinois license plates used to consist of either three letters followed by three digits or two letters followed by four digits.
Part (A)
Let A is the ways in which plates consist of three letters followed by three digits and B is the ways in which two letters followed by four digits.
Here repetition is allow. The number of alphabets are 26 and the number of distinct digits are 10.
The numbers of ways in which three letters followed by three digits can be chosen is:
The numbers of ways in which two letters followed by four digits can be chosen is:
Hence, the total number of ways are 17576000 + 6760000 = 24336000
Randomly chosen plate contains the number 2222 that means the first two letter can be any alphabets but the rest of the digit should be 2222.
Thus, the total number of ways that a randomly chosen plate contains the number 2222 number are:
The probability that a randomly chosen plate contains the number 2222 is:
Part (B)
The number of ways in which chosen plate contains the sub-string HI:
If three letters followed by three digits plate contains the sub-string HI, then the number of possible ways are:
If two letters followed by four digits plate contains the sub-string HI, then the number of possible ways are:
Thus, the total number of ways that a randomly chosen plate contains the sub-string HI are:
From part (A) we know that the total number of ways to chose a number plate is 24336000.
The probability that a randomly chosen plate contains the sub-string HI is:
x = -2
function value at x = -2 is intersection of the x value and graph
which is, 3
Hope it is clear:)
