Answer:
n
Step-by-step explanation:
-12n - (-13n) = -12n +13n = 1n
The way to get the equation for the radius (r) is to get r by itself. So divide each side by 4pi
500/4pi=r^2
Now take the square root of each side to get the equation of r.
sqrt(500/4pi)=r
The missing interior angle, x, of the convex polygon is 168⁰.
<h3>
Sum of interior angles of convex polygon</h3>
The sum of interior angles of a convex polygon is calculated as follows;
S = (n - 2) 180
S = (8 - 2) 180
S = (6) 180
S = 1080
The missing interior angle, x, is calculated as follows;
x + 126 + 146 + 130 + 140 + 146 + 134 + 90 = 1080
x + 912 = 1080
x = 1080 - 912
x = 168⁰
Learn more about interior angles of polygon here: brainly.com/question/24966296
Answer:
a) 45 possible outcomes
b) 55 possible outcomes
Step-by-step explanation:
Given:
- Total cavities = 12
- Selection = 3 parts
- Non-conforming cavities = 2
Find:
a) How many samples contain exactly 1 nonconforming part?
b) How many samples contain at least 1 nonconforming part?
Solution:
- The question asks for the use of combinations to express the outcomes for each scenario.
- For first part, we want the inspector to pick exactly one non-conforming part among 3 selected. So let us say that he has already chosen that one non conforming cavity. Now he has to make 2 more selections out of total conforming cavities = 12 - 2 = 10 conforming cavities. Hence, the total possible outcome is to chose 2 randomly from 10 conforming cavities.
( Exactly 1 ) 10C2 = 45 possible outcomes
- The second part entails that at-least 1 non-conforming cavity is selected. To choose exactly 1 non conforming we calculated above. In the similar way calculate for selecting exactly 2 non-conforming cavities. The total possible outcome would be to choose from 10 conforming and we choose 1 from it:
( Exactly 2 ) 10C1 = 10 possible outcomes
- Hence, for at-least 1 non conforming cavity being selected we same the above two cases calculated:
(At-least 1 ) = ( Exactly 1 ) + ( Exactly 2 )
(At-least 1 ) = 45 + 10 = 55 possible outcomes
