(x^2-5)(3x-1)
Here's how I got this answer:
I found the GCF for each part of the polynomial.
3x^3 and -15x both contain 3x, and -x^2 and 5 share -1.
I then can divide the polynomial by 3x-1, and I get x^2-5
(Okay, that's not what I really did, but I can solve these on sight and don't remember the proper way to do it.)
Answer:
<h2>
B. 9</h2>
Step-by-step explanation:
|<-------------- 27 ------------>|
L--------------M----------------N
18 MN
LN = LM + MN
27 = 18 + MN
MN = 27 - 18
<h2>
MN = 9</h2>
Answer:
C) (a-12b)(a+12b)
Step-by-step explanation:
a^2-144b^2 = (a-12b)(a+12b)
This is the formula that when two terms squared are written with a minus sign between them their factors are the product of the original numbers once with a plus sign and once with the minus sign.
This can be explained by multiplying them.
(a-12b)
<u> *(a+12b) </u>
a²- 12ab
<u> +12ab - 144b² </u>
<u> a² +0 - 144b² </u>
We see we get the same answer as applying the formula above.
Answer:
0.006535 (to 6 decimal place)
Step-by-step explanation:
There are
8 students in total
10 faculty in total
Jury consists of 5 members
We need to select jury of students
Hence, the probability would be:
ways of selecting 5 students from 8 students DIVIDED by ways of selecting 5 members from total of 18
So,
5 of 8 selection = 8C5
5 out of 18 selection = 18C5
So,
Probability of selecting a jury of all students = 8C5/18C5 = 56/8568 = 0.006535
The z-score is given by:
z=(x-mean)/s.d
the z-score giving us P(0.95)=1.96 and -1.96
thus;
-1.96=(x-1500)/300
-588=x-1500
x=-588+1500
x=912
also:
1.96=(x-1500)/300
588=x-1500
x=588+1500
x=2,088
therefore the sample size of the student picked will be given by:
2,088-912
=1,176
