Given:
The polynomials are:


To find:
The completely simplified sum of the polynomials.
Solution:
We have,


The sum of given polynomials is:


Therefore, the sum of the given polynomials is
. It is a polynomial with degree 6 and leading coefficient -2.
Answer:
<em>A(x) = 6x² + 26x </em>
Step-by-step explanation:
A(x) = 4x ( x + 10 ) - 2x ( 8 ) +
+
A(x) = 4x² + x² + x² + 40x - 16x + 2x
<em>A(x) = 6x² + 26x</em>
Answer:
The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.
Step-by-step explanation:
Let's define the random variable,
"Comprehensive strength of concrete". We have information that
is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words,
.
We want to know the probability of the mean of X or
that falls in the interval
. From inference theory we know that :

Now we can find the probability as follows:

Where
, then:

A Parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite sides of a Parallelogram are of same length and opposite angles are same.
Step-by-step explanation:
Properties of a Parallelogram
- Both Pairs of Opposite sides are Parallel
- Both Pairs of Opposite sides are Congruent
- Both Pairs of Opposite angles are Congruent
- Consecutive angles are supplementary
- Daigonals bisect each other.