Step-by-step explanation:
plug in variables for x
x= 1:
-(1)-2
y= -3
x=2
-(2)-2
y= -4
x=3
-(3)-2
y= -5
x=4
-(4)-2
y= -6
Answer:
72.4%
Step-by-step explanation:
The probability of A occurring given that B occurs = the probability of both A and B / the probability of B
P(A|B) = P(A∩B) / P(B)
This can be rearranged as:
P(A∩B) = P(B) P(A|B)
In this case:
A = biased coin is chosen
~A = fair coin is chosen
B = 4 heads then 1 tail
First, let's find P(A∩B).
P(A∩B) = P(B) P(A|B)
P(A∩B) = ½ × ₅C₄ (⅘)⁴ (⅕)¹
P(A∩B) = 0.2048
Next, find P(~A∩B).
P(~A∩B) = P(B) P(~A|B)
P(~A∩B) = ½ × ₅C₄ (½)⁴ (½)¹
P(~A∩B) = 0.078125
Therefore, the probability that the coin is biased is:
P = P(A∩B) / (P(A∩B) + P(~A∩B))
P = 0.2048 / (0.2048 + 0.078125)
P = 0.723866749
The probability is approximately 72.4%.
Answer:
Step-by-step explanation:
take angle C as reference angle
using tan rule
tan C=oppposite/adjacent
tan C=6/12
tan C=0.5
C=
0.5
C=26.6 degree
Answer: .86
Step-by-step explanation: Percentages can represent sale prices, such as 20 percent off, success rates, such as getting 86 ... Enter the portion you are converting to a percentage in the calculator. ... For example, if there were a total of 50 question on the test, enter "50." ... For example, if a student got 43 out of 50 questions correct, your answer is .86.
Answer: d is 53 degrees, c is 5, g is 13, e is 90 degrees, f is 37 degrees, b is 12 .
Step-by-step explanation:
Since they're congruent you just compare the two and replace them. You have the answers on both sides, they're just split up. So look at one side, then the other, and see what you can find. Repeat.
