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Andreyy89
2 years ago
14

Find the equation of the line. Y=__x + __

Mathematics
2 answers:
kkurt [141]2 years ago
7 0
To find the slope (m), count how many units vertically and horizontally it takes to get from any one point to the other (rise/run)

i’ll use (0,-6) and (-4,-5)
it takes 1 vertical unit and 4 horizontal units to the left to get there, so the slope is 1/-4

to find the y intercept (b), it’s simply the point where the line intercepts the y axis (vertical line). in this case it’s at (0,-6). the y intercept would then be -6

now just plug those into the slope intercept form: y = mx + b

the equation of the line is y = 1/-4x - 6
mestny [16]2 years ago
7 0
Answer: y= -1/4x - 6
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4.36 Stats final scores. Each year about 1500 students take the introductory statistics course at a large university. This year
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The distribution of scores on this final exam is left-skewed.

Step-by-step explanation:

We use the Pearson Mode Skewness to solve this question. It states that:

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If the median is lower than the mean, the distribution is right-skewed.

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Find all solutions of the equation in the interval [0, 2pi).
natali 33 [55]

Answer:

Step-by-step explanation:

Begin by squaring both sides to get rid of the radical. Doing that gives you:

sin^2x=1-cosx

Now use the Pythagorean identity that says

sin^2x =1-cos^2x and make the replacement:

1-cos^2x=1-cosx. Now move everything over to one side of the equals sign and set it equal to 0 so you can factor:

1-cos^2x+cosx-1=0 and then simplify to

cosx-cos^2x=0

Factor out the common cos(x) to get

cosx(1-cosx)=0 and there you have your 2 trig equations:

cos(x) = 0 and 1 - cos(x) = 0

The first one is easy enough to solve. Look on the unit circle and see where, one time around, where the cos of an angle is equal to 0. That occurs at

x=\frac{\pi }{2},\frac{3\pi}{2}

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Again, look to the unit circle and find where the cos of an angle is equal to 1. That occurs at π only.

So, in the end, your 3 solutions are

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