Question: What value of c will complete the square below (
) and make the expression a perfect square trinomial?
Answer: c = 225
Step-by-step explanation:
Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that <u>a = x, and b² = c</u>, but we need to find the numerical value of
.
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by
on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)
Answer:
the incidence rate is 28.47
Step-by-step explanation:
The computation of the monthly incident rate of active cases is shown below:
Incidence rate is
= 1325 ÷ (47175 - 642) × 1000
= (1325 ÷ 46533 ) × 1000
= 28.47
hence, the incidence rate is 28.47
In a statistical test, the null hypothesis to be made is
that the sample proportions do not have any significant differences, which
means an equal distribution. This is only rejected when the estimate is equal
or less than 0.95. But since in this case it is >0.95, so therefore the null
hypothesis is not rejected. Therefore:
<span>False</span>
3,751+3,751= 7,502
3,75l*2=7,502
15,004/2= 7,502
5,689+1,831=7,502
8,965-1,463=7,502
62*121=7,502
31*242=7,502
11*682=7,502
7,000+502=7,502
7,000+400+102=7,502
6,000+1,500+2