A counterexample for the expression sin y tan y= cos y is 0.
2 answers:
Answer:
True
Step-by-step explanation:
To answer this question we must evaluate
y = 0° on both sides of the equation.
For the left side we have:
We know that
We know that and
.
Therefore .
Then the left-hand side of the equals is equal to zero.
On the right side we have:
When evaluating at
We have to .
0 ≠ 1
The equation is not satisfied. Therefore y = 0 ° is a counterexample to the equation
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Explanation:
As points have three coordinates i.e. x, y and z hence the sketch of the given four points is drawn in 3D shape and for that picture is attached here with this answer.
Points are given in the format as below
(value of x-coordinate , value of y-coordinate , value of z-coordinate)
In the attachment:
Point A = (0,5,2) (in blue color)
Point B = (4,0,-1) (in purple color)
Point C = (2,4,6) (in orange color)
Point D = (1,-1,2) (in black color)
Answer:
The standard deviation for the sample mean distribution is
Step-by-step explanation:
The central limit theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population then the distribution of the sample means will be approximately normally distributed.
For the random samples we take from the population, we can compute the standard deviation of the sample means:
From the information given
The standard deviation σ = 136 dollars
The sample n = 45
Thus,
The standard deviation for the sample mean distribution is