How old are you if you graduated high school in 2009
2 answers:
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The measure of x in both parts is: 120°
Step-by-step explanation:
Part A:
We can clearly see that the figure in part a has six equal sides. So the given figure is a hexagon.
A hexagon has six equal sides in six equal interior angles.
Sum of interior angles of hexagon is 720°
So,
Part B:
The figure is a Dodecagon with 12 sides.
The Dodecagon has 12 equal sides and angles.
The sum of internal angles of Dodecagon is 1440°
So,
The measure of x in both parts is: 120°
Keywords: Polygons, Hexagon
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The part that represents the solution to the inequality will be Part B shaded below first line and above second line.
<h3>How to depict the inequality?</h3>From the information given, the equation of the first line will be:
y - 3 = (-3 - 3/2 + 4)(x + 4)
y - 3 = -1(x + 4)
y + x = -4 + 3
x + y = -1
The equation of the second line will be:
y + 3 = -1(x + 4)
y = x + 4 - 3
y = x + 1
This is plotted on the graph attached.
From the systems of equations, the statement that is correct about the two systems of equations is that They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 3 times the second equation of System A.
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Answer:
0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.
Step-by-step explanation:
The buckets are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
8 covered buckets, so N = 8.
4 buckets are selected, so n = 4.
2 contain a ball, which means that k = 2.
Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.
This is P(X = 2). So
0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.