Definition 1: Perfect squares are numbers or expressions that are the product of a
number or expression multiplied to itself (7 times 7 is 49, so 49 is a
perfect square).
Definition 2: <span>Binomials are algrebraic expressions containing only two terms.</span><span />
<span>
</span><span>
Definition 3: Trinomials are algebraic expressions that contain three terms. </span><span />
Perfect square trinomials are algebraic expressions with three terms that are created by multiplying a binomial to itself. There are two formulas for perfect square trinomials:

.
From these formulas you can see that:
A. <span>"Neither of the perfect squares can have a minus sign" is true statement;
</span>
B. "<span>The first and third terms must be perfect squares" is true statement;
</span>
C. "<span>If the perfect square terms are

and

then the other term must be

" is false statement;
</span>
D. "<span>None of the above is a property of a perfect square trinomial" is consequently false statement.
</span>
Base is 12 feet square so 12 *12 = 144 square feet
each triangle has base of 12 feet and height of 8 feet
area of triangle = 1/2 x base x height = 1/2 x 12 x 8 = 48 square feet
48 x 4 triangles = 192 square feet
total: 192 + 144 = 336 square feet
Answer:
The margin of error of u is of 3.8.
The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 28 - 1 = 27
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.7707
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error of u is of 3.8.
The lower end of the interval is the sample mean subtracted by M. So it is 31.2 - 3.8 = 27.4 minutes
The upper end of the interval is the sample mean added to M. So it is 31.2 + 3.8 = 35 minutes
The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.
Answer:
-8
Step-by-step explanation:
Given that,
n = -3
r = -8
Now we have to find the value of the given expression.
For that, you have to replace n and r with ( -3 ) and ( -8 ) respectively.
Let us solve now.
−5 + 3 ( −2r + 4n )
-5 + 3 ( -2 × -8 + 4 × -3 )
-2 ( 16 - 12 )
-2 × 4
-8
Let me know if you've any other questions. :-)
- Hi1315
We have to sum 8 and two-third of x, so we must multiply x by 2/3 and sum it with 8,
thus, the expression is