Answer:
Yes, it will fit snugly in a 90º corner
Step-by-step explanation:
To do this, we simply need to check if the given sides of the shelf is right-angled.
So, we have:


To check for right-angle triangle, we make use of:

This gives:




This shows that the given sides of the shelf is a right-angled triangle.
Hence, it will fit the wall
Answer:
The point estimate for this problem is 0.48.
Step-by-step explanation:
We are given that a University wanted to find out the percentage of students who felt comfortable reporting cheating by their fellow students.
A survey of 2,800 students was conducted and the students were asked if they felt comfortable reporting cheating by their fellow students. The results were 1,344 answered "Yes" and 1,456 answered "no".
<em>Let </em>
<em> = proportion of students who felt comfortable reporting cheating by their fellow students</em>
<u></u>
<u>Now, point estimate (</u>
<u>) is calculated as;</u>
where, X = number of students who answered yes = 1,344
n = number of students surveyed = 2,800
So, Point estimate (
) =
= <u>0.48 or 48%</u>
This is easy to do because you can factor
example
6/2=3 because 6=2*3 so 6/2=3/1 times 2/2 or 3
2x^3+17x^2+23x-42 can be factored out to equal
(x-1)(x+6)(2x+7)
so [(x-1)(x+6)(2x+7)]/(2x+7)=[(x-1)(x+6)] times (2x+7)/(2x+7)=(x-1)(x+6)=x^2+5x-6
the answer is (x-1)(x+6) or x^2+5x-6

Factorization of the trinomial
3x^3 +6x^2 -24x
will be :-
taking common 3x
=>3x(x^2+2x-12)......1️⃣
now the factorization of (x^2+2x-12) will be
(x-2)(x+4).......2️⃣
so your answer from 1️⃣and 2️⃣ is (A) 3x(x-2)(x+4).
Hope it helped you.