Answer:
0.99145 is the probability that the system will work properly.
Step-by-step explanation:
We are given the following information:
The components function independently of one another.
We treat component working properly as a success.
P(component working properly) = 0.9
Then the number of components follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 5 and x = 3
For the system to function if atleast 3 out of 5 will work properly.
We have to evaluate:
0.99145 is the probability that the system will work properly.
Answer:
1/6
Step-by-step explanation:
The x-coordinate of the vertex is always the x-value of the axis of symmetry. The vertex can be found by 
. If we look at this equation as 
,
and 
.
When you plug those values into the x equation you get 
.
Solution of a set of linear inequalities consists all the ordered pair that satisfy all the linear inequalities in the system.
The bottom line is a straight line that is equal to 180 degrees.
The three angles above it all need to add together to equal 180.
One angle is given as 20, so the other two need to add together to equal 160 ( 180-20 = 160)
Those two angles form the angle ACE so the answer would be 160 degrees,
Answer 160 degrees.
Answer: d. (if a polygon has congruent angles, then it is regular)
Step-by-step explanation:
Converses follow the format of "if q, then p" (while the original conditional is "if p, then q")
Just because there are clouds does not mean its raining (cloudy days)
just because it has four equal sides does not make it a square (rhombi have four equal sides but are not squares)
just because you cannot see the sun does not mean it is not daytime (solar eclipses)
if a polygon is regular, it must have congruent angles
