Answer:
There is a 34.3% probability that he makes all of the shots.
Step-by-step explanation:
For each foul shot that he takes during the game, there are only two possible outcomes. Either he makes it, or he misses. This means that we use the binomial probability distribution to solve this problem.
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 we have that:
What is the probability that he makes all of the shots?
This is P(X = 3).
There is a 34.3% probability that he makes all of the shots.
Find the prime factorization
45=3*3*5
60=2*2*3*5
GCF=3*5=15
45=3*15
60=4*15
remember
ab+ac=a(b+c) so
45+60=15(3)+15(4)=15(3+4)=15(7)=105
Vertex form is
where (h,k) is the vertex.
We can see that the vertex of the graph is at (2,0), and that the graph opens downwards, but does not look stretched at all.
Therefore,
a = -1
h = 2
k = 0
and our vertex form equation is
which is answer A
The discount price is .80x or 1-.20x.
Answer:
324°
Step-by-step explanation:
Totak angles in a 7 sided polygon = 900°
Side A = 3
Side B = 1
Side C = 4
Side D = 1
Side E = 5
Side F = 9
Side G = 2
Total = 25
The largest angle has the largest ratio which is side F
Angle in side F = Ratio of side F / total ratio × 900°
= 9/25 × 900°
= 0.36 × 900°
= 324°
The largest angle = 324°
The smallest angles are angles with the lowest ratio which are side B and side D
Angle in side B = Ratio of side F / total ratio × 900°
= 1/25 × 900°
= 0.04 × 900°
= 36°
The smallest angles are angles 36°
