6 students own a bicycle and a car because 25+4+17 = 46 which mean 6 have both
Answer:
0.82
Step-by-step explanation:
given that an athlete suspected of having used steroids is given two tests that operate independently of each other.
Test A has probability 0.9 of being positive if steroids have been used. Test B has probability 0.8 of being positive if steroids have been used.
A and B are independent of each other
Hence P(AB) = P(A) P(B)
Required probability = the probability that atleast one test is positive if steroids have been used
= P(AUB)
= P(A)+P(B)-P(AB)
= 0.9+0.8-0.9*0.8
= 0.82
Answer:
43.531
Step-by-step explanation:
This problem needs the law of cosines since the three sides of the triangle are involved as well as one angle. The law of cosines is:
c^2 = a^2 + b^2 - 2ab*cos(C)
Where the lowercase letters are side values and capital letters are angle values. Just in case I will mention side a is the one with a length of 14, side b is 20 and c = 12.
Since it is asking for angle A instead of angle C we can rewrite the law of cosines to fit that, basically just rearranging the letters.
a^2 = c^2 + b^2 - 2cb*cos(A)
Now we just plug in and solve.
14^2 = 12^2 + 20^2 - 2*12*20*cos(A)
Rearrange to get A by itself
![\frac{14^2-12^2-20^2}{-2*12*20}=cos(A)](https://tex.z-dn.net/?f=%5Cfrac%7B14%5E2-12%5E2-20%5E2%7D%7B-2%2A12%2A20%7D%3Dcos%28A%29)
Now we take the inverse cosine, or arccos of both sides to get our answer.
![arccos(\frac{14^2-12^2-20^2}{-2*12*20})=A](https://tex.z-dn.net/?f=arccos%28%5Cfrac%7B14%5E2-12%5E2-20%5E2%7D%7B-2%2A12%2A20%7D%29%3DA)
Let me know if there is something in my explanation you don't understand.
Answer: 16 + 55 = 71cm^2
Step-by-step explanation:
You want to divide this figure into 2 rectangles. There are two ways to do this, but either one will give you the same answer.
First One:
It has the dimensions of 5 and 11. 5 x 11 = 55cm^2
Second One:
This one wont be straightforward like the first one. You need to find these sides manually.
7 + x = 11
x = 4
Then,
9 - x = 5
x = 4
4 x 4 = 16cm^2