Answer:
The answer to your question is these lines are not perpendicular.
Step-by-step explanation:
Data
A (4, 2)
B (-1, 4)
slope = m = 4
Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.
Process
1.- Find the slope of the second line and compare it to the slope given.
slope = 
Substitution
slope = 
Simplification and result
slope = 
-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.
Answer:
6 ---------> 2x : 48 = 3 : 12
9 ---------> 2 : 3 = 6 : x
16 --------> 12 : 15 = x : 20
24 -------> 4 : 7 = x : 42
Step-by-step explanation:
F= -1 2/3 or 5/3
In order to find the answer all you have to do is multiply both sides by -4/3.
-3/4f × -4/3 = f
-4/3 × 5/4 = -20/12
-20/12 simplified is -5/3 or -1 2/3
Using conditional probability, it is found that there is a 0.1 = 10% probability that the chosen coin was the fair coin.
Conditional Probability
In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem:
- Event A: Three heads.
- Event B: Fair coin.
The probability associated with 3 heads are:
out of 0.5(fair coin).- 1 out of 0.5(biased).
Hence:

The probability of 3 heads and the fair coin is:

Then, the conditional probability is:

0.1 = 10% probability that the chosen coin was the fair coin.
A similar problem is given at brainly.com/question/14398287
Answer:
c. 8 1/3 cups
Step-by-step explanation:
3 1/3 * 2 1/2 = 25/3 or 8 1/3