Answer:
The distance is or .
Step-by-step explanation:
Slope of parallel: 2
Slope of perpendicular: -1/2
Pick a point for y =2x + 7. For example (0,7)
Use the perpendicular slope to get to the other line to find the other point of y=2x-3. Look at the screenshot...I got (4,5).
Distance formula
Insert (0,7) and (4,5)
=
Answer: Probability that a student chosen at random likes science given that he or she likes art is 58%
Step-by-step explanation:
Since we have given that
Probability that a student who likes art and science = 21%
Probability that a student who likes art = 36%
According to question,
we need to find the probability that a student chosen at random likes science given that he or she likes art.
So, we will use "Conditional Probability":
P(A) = 0.36
P(S ∩ A) = 0.21
Hence, Probability that a student chosen at random likes science given that he or she likes art is 58%.
Answer:
Step-by-step explanation:
Isolate then solve for x
Answer:
5/6
Step-by-step explanation:
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Answer: 0.533</span>
Explanation: Note that
Let
=
z-score for I.
=
z-score for x.
The formula for z-score is given by
So,
Based on inequality in (1),
So,
Since
and
are z-scores and the level of nitrogen oxides are normally distributed, using normal distribution calculator (or table),