Answer:
Value of y = 7
Step-by-step explanation:
By the midpoint theorem of the triangles,
"Segment joining midpoints of the two sides of a triangle is parallel to the third side and measure half the length of the third side."
Therefore, from the figure attached,
In ΔFGH,
J and K are the mid points of the two sides GH and FH.
By theorem, segment JK║GF and m(JK) = 
(5y + 3) = 2(2y + 5)
5y + 3 = 4y + 10
5y - 4y = 10 - 3
y = 7
The median is 8 and the mode is 6, therefore the difference between the median and the mode is 2
Answer:
Example: g(x) = 0.5(x+2)^3
Step-by-step explanation:
The correct answer choice should match the following:
- A vertical compression means x^3 is multiplied by a number less than 1. Look for a fraction or decimal less than 1 as the leading coefficient.
- A shift to the left it produced by adding values inside the operation to the input. Look for (x+2)^3 or (x+12)^3.
Every confidence interval has associated z value. As confidence interval increases so do the z value associated with it.
The confidence interval can be calculated using following formula:
Where
is the mean value, z is the associated z value, s is the standard deviation and n is the number of samples.
We know that standard deviation is simply a square root of variance:
The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income:
