Answer:
Step-by-step explanation:
We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).
The given line can be expressed as:
We can see the slope of this line is m1=-3/2.
The slopes of two perpendicular lines, say m1 and m2, meet the condition:
Solving for m2:
Now we know the slope of the new line, we use the slope-point form of the line:
Where m is the slope and (h,k) is the point. Using the provided point (-5,2):
Answer:
128 or 4,096
Step-by-step explanation:
If its 64 x 2 then 128 or if you are implying 64, to the power of two, (64x64) then your answer is 4,096.
The probability that a part picked from this batch at random is either red or L-shaped is 0.68
Step-by-step explanation:
Let us revise some rules of probability
The addition rules are:
- P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen at the same time)
- P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they have at least one outcome in common)
∵ A batch has 100 parts
∵ 40 are red
- Probability of an event is the [even occurs/total outcomes]
∴ P(red) =
∵ 50 are L-shaped
∴ P(L-shaped) =
∵ 22 are both red and L-shaped
∴ P(red and L-shaped) =
This is non-mutually exclusive because there is a common between them, so we will use the 2nd rule
∵ P(red or L-shaped) = P(red) + P(L-shaped) - P(red and L-shaped)
∴ P(red or L-shaped) = 0.4 + 0.5 - 0.22
∴ P(red or L-shaped) = 0.68
The probability that a part picked from this batch at random is either red or L-shaped is 0.68
Learn more:
You can learn more about the probability in brainly.com/question/2254182
#LearnwithBrainly
-1/5 (x - 4) = -2
(-1/5)x + (4/5) = -2
-2 can be turned into -10/5
(-1/5)x = (-10/5) - (4/5)
(-1/5)x = -14/5
multiply by -5 on both sides
x = 14
hope this helps :)
Answer:
1/5 / 2/5 = 0.5
Step-by-step explanation: