Adding or subtracting a constant from each value of a distribution changes the mean, but not the standard deviation.
The standard deviation will equal 3.
Answer:
Surface area of the given figure = 48 cm^2
Step-by-step explanation:
Surface area is nothing area of all the sides.
We can find the area of each figure add them together.
There are two triangles with the same measures.
One rectangle with measure of 4 by 3.
Another rectangle with the measure of 5 by 3.
One square with the measure of 3.
Surface area = Area of two triangles + rectangle 1 + rectangle 2 + square
Formulas:
Area of the triangle = 1/2 base* height
Area of the rectangle = length * width
Area of the square = side x side
Applying the formula, we get
=2[1/2 (3*4)] + 4*3 + 5*3 + 3^2
= 12 + 12 + 15 + 9
Surface area of the given figure = 48 cm^2
Hope this will helpful.
Thank you.
Answer:
The degrees of freedom associated with the critical value is 25.
Step-by-step explanation:
The number of values in the final calculation of a statistic that are free to vary is referred to as the degrees of freedom. That is, it is the number of independent ways by which a dynamic system can move, without disrupting any constraint imposed on it.
The degrees of freedom for the t-distribution is obtained by substituting the values of n1 and n2 in the degrees of freedom formula.
Degrees of freedom, df = n1+n2−2
= 15+12−2=27−2=25
Therefore, the degrees of freedom associated with the critical value is 25.
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
