Given :
Let sin(45°)=0.7071.
To Find :
The angle measure (μ), in degrees for cos(μ)=−0.7071 and value equivalent to 360n + , where n is an integer .
Solution :
We know , value of sin x and cos x is same at x = 45° .
Now , cos (-x) = cos(90°+x)
Therefore , μ in given question is :
μ =90°+45°
μ=135°
So , for angle of type 360°n + :
μ = 360°n + 135° .
Hence , this is the required solution .
a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as
"Chocolate" has the marginal distribution given by the second column, with a total probability of
. Similarly, "Adults" has the marginal distribution described by the third row, so that
. Then
Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with
.
The probabilities match, so these events are indeed independent.
Parts (b) and (c) are checked similarly.
b. Yes;
c. Yes;
The median is a better representative of the central value of a data set when
the data set is highly skewed.
Note that
The median and average value only coincide when the distribution is perfectly normal.
Many outliers will also skew the distribution, and the median becomes a better representative.
Answer:
⟨3, –5⟩ and ⟨6, –10⟩
Step-by-step explanation:
⟨3, –5⟩ cross ⟨6, –10⟩ = 0
⟨2, –3⟩ cross ⟨9, –6⟩ = 15
⟨–2, 3⟩ cross ⟨–6, –4⟩ = 26
⟨–5, 4⟩ cross ⟨–4, –2⟩ = 26
⟨3, –5⟩ and ⟨6, –10⟩
Answer:
(-1, 2)
Step-by-step explanation:
If we have a point (h,k) and it is rotated 90 degrees clockwise, the resulting point will have coordinates (k, -h).
So, basically the y coordinate becomes the x coordinate and x coordinate becomes the NEGATIVE of the y coordinate.
The point to rotate is (-2, -1), so after 90 degree clockwise rotation, it will become:
(-1, -(-2))
= (-1, 2)
This is the answer.
