Answer:
<u>Option A) 19 to 25</u>
Step-by-step explanation:
In the last election, 72% of the voters were in favor of a new outlet mall and
28% were against it.
Vanessa creates random samples of the voters using the numbers 1 to 25.
So, There are 25 numbers to represent all the voters
The range of number that could be used to represent the voters who were against the new outlet mall = 28% of 25 numbers = 0.28 * 25 = 7
So, <u>7 numbers only</u> could be used to represent the voters who were against the new outlet mall.
Check the options to find which range has only 7 numbers.
A) 19 to 25 ⇒ 7 numbers
B) 7 to 18 ⇒ 12 numbers
C) 15 to 25 ⇒ 11 numbers
D) 1 to 18 ⇒ 18 numbers
The answer is <u>option A) 19 to 25</u>
Answer:
Correct option: (a) 0.1452
Step-by-step explanation:
The new test designed for detecting TB is being analysed.
Denote the events as follows:
<em>D</em> = a person has the disease
<em>X</em> = the test is positive.
The information provided is:
Compute the probability that a person does not have the disease as follows:
The probability of a person not having the disease is 0.12.
Compute the probability that a randomly selected person is tested negative but does have the disease as follows:
![P(X^{c}\cap D)=P(X^{c}|D)P(D)\\=[1-P(X|D)]\times P(D)\\=[1-0.97]\times 0.88\\=0.03\times 0.88\\=0.0264](https://tex.z-dn.net/?f=P%28X%5E%7Bc%7D%5Ccap%20D%29%3DP%28X%5E%7Bc%7D%7CD%29P%28D%29%5C%5C%3D%5B1-P%28X%7CD%29%5D%5Ctimes%20P%28D%29%5C%5C%3D%5B1-0.97%5D%5Ctimes%200.88%5C%5C%3D0.03%5Ctimes%200.88%5C%5C%3D0.0264)
Compute the probability that a randomly selected person is tested negative but does not have the disease as follows:
![P(X^{c}\cap D^{c})=P(X^{c}|D^{c})P(D^{c})\\=[1-P(X|D)]\times{1- P(D)]\\=0.99\times 0.12\\=0.1188](https://tex.z-dn.net/?f=P%28X%5E%7Bc%7D%5Ccap%20D%5E%7Bc%7D%29%3DP%28X%5E%7Bc%7D%7CD%5E%7Bc%7D%29P%28D%5E%7Bc%7D%29%5C%5C%3D%5B1-P%28X%7CD%29%5D%5Ctimes%7B1-%20P%28D%29%5D%5C%5C%3D0.99%5Ctimes%200.12%5C%5C%3D0.1188)
Compute the probability that a randomly selected person is tested negative as follows:
Thus, the probability of the test indicating that the person does not have the disease is 0.1452.
If the total bill is $85, and you want to leave a 15% tip, then you can calculate it as follows:
85 * 15%
= 85 * 15/100
= 85 * 0.15
= 12.75
The amount that should be left as a tip is D. $12.75.
Answer:
98
Step-by-step explanation:
ABSOLUTE BRACKETS MEAN ABSOLUTE VALUE- this means that negatives will come out as positives since their absolute values are the same. So |-9| is just 9.
|-81-17| (apply the rule I just gave you)
|81+17|
98
Answer:
b
Step-by-step explanation:
