Answer:
Step-by-step explanation:
x = 180-65 = 115°
Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.
Binomial probability distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem
There are 10 containers, so
.
A food-packaging apparatus underfills 10% of the containers, so
.
a) This is P(X = 1)

b) This is P(X = 3)

c) This is P(X = 9)

d) This is
.
Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:


In which







So

Finally

Answer:

Step-by-step explanation:
*Missing Part of the Question*
4 stars
5 triangles
3 circles
3 squares
Required
Determine the probability of triangle being first then square being second


Represent the triangle with T and square with S
So, we're solving for P(T n S)

Solving for P(T)


Solving for P(S)
The question implies a probability without replacement;
Hence Total has now been reduced by 1
Total = 14


Recall that




Hence, the required probability is

Step-by-step explanation:
due to the laws of symmetry of the angles of 2 crossing lines (and parallel lines are simply repeating and mirroring these angles), both angles must be equal.
5x - 5 = 6x - 27
-5 = x - 27
x = 22
Answer:
<u>32 53 24 54 61 13</u>
<u>32 53 24 54 61 1317 36 04 10 51 68</u>