Using trigonometric relations, we will see that:
sin(θ ) = -0.8
<h3>
How to get the sine of the angle?</h3>
For any point (x, y), the angle between the positive x-axis and the ray that connects the origin with the point (x, y) is:
θ = Atan(y/x)
In this case, the point is (3, -4), then the angle is:
θ = Atan(-4/3) = -53.13°
Then the sine of theta is:
sin(θ = -53.13°) = -0.8
If you want to learn more about trigonometric functions:
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Answer:
Step-by-step explanation:
check the image
Answer:
3 x 5
Step-by-step explanation:
The dimension of a matrix is normally represented in form of:
<u>number of rows</u> x <u>number of columns</u>
In the given matrix, there are 3 rows and 5 columns.
=> The dimension of this matrix is 3 x 5
=> Option D is correct
Hope this helps!
Answer:
Standard deviation of the sample = 17.421
Step-by-step explanation:
We are given that in a random sample of 80 teenagers, the average number of texts handled in one day is 50.
Also, the 96% confidence interval for the mean number of texts handled by teens daily is given as 46 to 54.
So, sample mean,
= 50 and Sample size, n = 80
Let sample standard deviation be s.
96% confidence interval for the mean number of texts,
is given by ;
96% confidence interval for
=
[46 , 54] =
Since lower bound of confidence interval = 46
So, 46 =
50 - 46 =
s =
= 17.421
Therefore, standard deviation of the sample is 17.421 .