Answer:
D. 6x2^2y^2 + 10xy^2 - 2x^2y^3
Step-by-step explanation:
We have been given an expression
. We are asked to find the value of A when rewrite our given expression as
.
To solve our given problem, we will use exponent properties.
Using exponent property
, we can rewrite our given expression as:

Now, we will compare our expression with
.
Upon comparing
with
, we can see that
.
Therefore, the value of A is
.
We can further simplify
as:

The standard deviation<u> </u><u>INCREASES</u>
Step-by-step explanation:
Standard deviation is used to show how the points of the data deviate from the mean. The formulae for deriving standard deviation is attached. As seen from the formulae, the greater the variance of the data from the mean, the higher the Standard Deviation.
The mean of the given data points is $103.4. $450 is way off from this mean meaning that there is a large variance in this data point.
Answer:
e. 10√30
Step-by-step explanation:
In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:
x/(10+50) = 50/x
Multiplying by 60x, we have ...
x^2 = 3000
x = 10√30 . . . . . take the square root. Matches choice E.
_____
<em>Comment on estimating</em>
You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.
The only answer choice with a value between 50 and 60 is choice E.
You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.