What is the mode of this data set? {41, 43, 45, 3, 11, 23, 24, 27, 29, 45, 12, 19, 22, 49, 25}
notka56 [123]
The mode of a data set is the number that appears most often...and just so u know, there does not have to be a mode...but in this problem there is....and the mode here is 45....it appears twice and all the other numbers appear once
Answer:
The answer is 12 units.
Step-by-step explanation:
Looking at the figure we see that

and

Now from equations (1) and (2) we have values for
and
so we put those into the equation (3) and get:



Therefore the answer is 12 units.
Answer: The vertical stretch of 5 in the equation y = x is defined by
.
Explanation:
The given equation is,

It can be written as,

The function is defined as
.
If
, then the function has a vertical stretch by a factor of S units.
If
, then the function has a vertical shrink by a factor of S units.
Since we have to find the vertical stretch of 5 in the equation y = x.


The below figure shows the graph of y = x and
.
Answer: 13
Step-by-step explanation:
If you remember the quadratic equation formula;

You can easily extract what is under the root to find the discriminant.

a = 3
b = 7
c = 3

Alternate exterior angles because the are OUTSIDE of the parallel lines