!!THIS IS MULTIPLE QUESTION!!
2 answers:
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Answer:
y = 3x + 2
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula:
Given points: (-1, -1), (1, 5)
(-1, -1) = (x1, y1)
(1, 5) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:
Simplify:
5 - (-1) = 5 + 1 = 6
1 - (-1) = 1 + 1 = 2
The slope is 3.
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (1, 5)) into the equation and solve for b:
5 = 3(1) + b
5 = 3 + b
2 = b
The y-intercept is 2.
Now that we know the slope and the y-intercept, we can write the equation:
y = 3x + 2
Answer: (b)
Step-by-step explanation:
Given
R is inversely proportional to A i.e
when
Insert the values to get C
When A=250
option (b) is correct
Answer:
93.25% probability that they have taken this steroid
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test
Event B: Taking the steroid.
Suppose the probability of an athlete taking a certain illegal steroid is 10%.
This means that
Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.
This means that
Positive test:
99.5% of 10%(If the athlete has taken).
100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)
Then
Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid
93.25% probability that they have taken this steroid