Answer:
x = 3.6
Step-by-step explanation:
By the Postulate of intersecting chords inside a circle.
![x \times 5 = 3 \times 6 \\ 5x = 18 \\ x = \frac{18}{5} \\ x = 3.6 \\](https://tex.z-dn.net/?f=x%20%5Ctimes%205%20%3D%203%20%5Ctimes%206%20%5C%5C%205x%20%3D%2018%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B18%7D%7B5%7D%20%20%5C%5C%20x%20%3D%203.6%20%5C%5C%20)
Answer:
The percent of the people who tested positive actually have the disease is 38.64%.
Step-by-step explanation:
Denote the events as follows:
<em>X</em> = a person has the disease
<em>P</em> = the test result is positive
<em>N</em> = the test result is negative
Given:
![P(X)=0.01\\P(P|X^{c})=0.15\\P(N|X)=0.10](https://tex.z-dn.net/?f=P%28X%29%3D0.01%5C%5CP%28P%7CX%5E%7Bc%7D%29%3D0.15%5C%5CP%28N%7CX%29%3D0.10)
Compute the value of P (P|X) as follows:
![P(P|X)=1-P(P|X^{c})=1-0.15=0.85](https://tex.z-dn.net/?f=P%28P%7CX%29%3D1-P%28P%7CX%5E%7Bc%7D%29%3D1-0.15%3D0.85)
Compute the probability of a positive test result as follows:
![P(P)=P(P|X)P(X)+P(P|X^{c})P(X^{c})\\=(0.85\times0.10)+(0.15\times0.90)\\=0.22](https://tex.z-dn.net/?f=P%28P%29%3DP%28P%7CX%29P%28X%29%2BP%28P%7CX%5E%7Bc%7D%29P%28X%5E%7Bc%7D%29%5C%5C%3D%280.85%5Ctimes0.10%29%2B%280.15%5Ctimes0.90%29%5C%5C%3D0.22)
Compute the probability of a person having the disease given that he/she was tested positive as follows:
![P(X|P)=\frac{P(P|X)P(X)}{P(P)}=\frac{0.85\times0.10}{0.22} =0.3864](https://tex.z-dn.net/?f=P%28X%7CP%29%3D%5Cfrac%7BP%28P%7CX%29P%28X%29%7D%7BP%28P%29%7D%3D%5Cfrac%7B0.85%5Ctimes0.10%7D%7B0.22%7D%20%3D0.3864)
The percentage of people having the disease given that he/she was tested positive is, 0.3864 × 100 = 38.64%.
Answer:
umm the answer is 18x+2y²
Answer:
A and B
Step-by-step explanation:
Vertical angles are angles that are opposite of each other on two crossing lines.
They have equal angle measure.
When we look at the image, we can tell that, from the given options:
A. <LRA and <FRA and
B. <TRF and <NRL are vertical angles.
Answer: C) Next year, 7 out of every 60 students will be taking music.
Step-by-step explanation:
A is wrong because it is an opinion which a table cannot prove.
B is wrong because it says "A representative sample of 60 students) while the answer incorrectly says 30.
C is correct because on the table it says 7 people are taking music and correctly identifies that it's out of 60 students.
D is incorrect for the same reason B is incorrect except this time it says 120.