Let's first get the representation of tan
We also need to understand how to convert radians to degrees
For question 1
since tan > 1
It must be in either first quadrant or third quadrant as shown in the diagram above
Answer:
The equation for the new line in slope-intercept form is:
Step-by-step explanation:
Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)
We are also given a point the new line should go through : "(1, 6)"
So we can use the "point-slope" form of a line to find the equation of this new line:
which for our case is:
Solution: We are given:
ACT scores follow normal distribution with
SAT scores follow normal distribution with
Now, let's find the z score corresponding to Joe's SAT score 1351.
Therefore, Joe's SAT score is 1.56 standard deviations above the mean.
Now, we have find the Joe's ACT score, which will be 1.56 standard deviations above the mean.
Therefore, we have:
Therefore, Joe's equivalent ACT score to SAT score 1351 is 28.4
Answer:
Step-by-step explanation:
you first add up the marbles together. 3 + 4 + 3 +.5 = 15. Then you take the amount of green marbles their are, and make a fraction: 3/15. Then you remove one without putting it back, which is green, so you have 1 less total and one less green marbles, and you turn that into a fraction: 2/14.
First Pick: 3/15 chance of getting green
Second Pick: 2/14 chance of getting green
Then. You divide the first number by the second one.
3 / 15 = 0.2
2 / 14 = 0.142
Then to turn into percentage you move the decimal over two spots and drop the 0 and add a percentage sign:
20%
14.2% (Round Up Percentage) 15%
Which means that:
20% Probabiltiy for first pick
15% Probability for second pick
____________________________________________________________ I hope this helps. If it is incorrect, comment that, and I will see what U messed up. I hope I helped. :D
Answer:
Equation of line l,
3x-4y=1/2
y=3/4x-1/2
we get,
slope of line l =3/4
Equation of line m,
x-5=2y
y=1/2-5/2
Hence slope of line m=1/2
Slope of line l is not equal to slope of line m. Hence the line are not parallel.
Slope of line l* slope of line m ,
(3/4)*(1/2) =3/8
Since the product of slope of line l and the slope of line m is not equal to -1, the lines are not perpendicular.
Hence the lines are neither perpendicular nor parallel..