Answer:
18 sides
Step-by-step explanation:
with regular polygons it is best to remember that:
(1) all the EXTERIOR angles add up to 3600
(2) 1 exterior angle+1 interior angle =1800
Work with the exterior angles. In this case:
1 int. <=180−160=200
No. of sides =36020=18
5(a - 2b) - 3(a - 2b) |use distributive property: a(b - c) = ab - ac
= 5a - 10b - 3a + 6b
= (5a - 3a) + (-10b + 6b)
= 2a - 4b
Answer:



Step-by-step explanation:
For this case we can calculate all the questions with the following table:
Class Midpoint(Xi) fi Xi*fi Xi^2 *fi
____________________________________
0-3 1.5 6 9 13.5
3-6 4.5 6 27 121.5
6-9 7.5 11 82.5 618.75
9-12 10.5 21 220.5 2315.25
12-25 18.5 5 18 1711.25
_____________________________________
Total 49 431.5 4780.25
We can calculate the expected value with the following formula:

And if we replace we got:

We can calculate the sample variance with the following formula:

And replacing we got:

And the deviation would be just the square root of the variance like this:

The probability that the student selected at random is a freshman is; 29%
<h3>How to find the Probability?</h3>
From the given table;
Total number of male students = 4 + 6 + 2 + 2 = 14
Number of freshmen students = 4 students
Thus;
Probability that the student selected at random is a freshman is;
P(Freshman | Male) = 4/14 * 100% = 28.57% ≈ 29%
Read more about Probability at; brainly.com/question/251701
#SPJ1
Given
The numbers, 1/2, 1/8, and 1/10.
To find: The least common denominator.
Explanation:
It is given that,
1/2, 1/8, and 1/10 .
Then,
Therefore, the LCM is,

Hence, the least common denominator is 40.