In any polygon with number of sides = n, the sum of measures of its internal angles is equal to (n-2)*180
Now, for a nonagon:
number of sides = 9
sum of internal angles = (9-2)*180 = 1260 degrees
We are given the measures of seven of its angles and we know that the other two are equal. Assume that each angle of the remaining two angles has a measurements = x degrees
Therefore:
sum of angles = 138 + <span>154 + 145 + 132 + 128 + 147 + 130 + x + x
1260 = 974 + 2x
2x = 1260 - 974
2x = 286
x = 143 degrees
Based on the above calculations:
The measure of each angle of the remaining two angles is 143 degrees</span>
Answer:
yo mama
Step-by-step explanation:
The function is:
Now to put in the form Ax+By=c we hace to let the number that don't have x ot y in the left side of the equation anthe the rest of the term in the right side of the equation:
where:
Answer:
0.0321
Step-by-step explanation:
This can be found by binomial probability distribution as the probability of success is constant. There are a given number of trials. the successive tosses are independent.
Here n= 5
The probability of getting a four in a roll of a die = 1/6
The probability of not getting a four in a roll of a die = 5/6
The probability of getting exactly three 4s in five throws is given by
5C3 (1/6)³ (5/6)² = 10 (0.0046) (0.694)= 0.0321
Answer:
The sample space of the game is: S = {1, 2, 3, 4, 5, 6}.
Step-by-step explanation:
Sample space is a set of all possible outcomes of an experiment.
Consider a few example:
- Consider the experiment of tossing a coin. The sample space of this experiment consists of only two outcomes, i.e. Heads (H) and Tails (T).
- Consider the experiment of rolling a fair six-sided die. The sample space of this experiment consists of six outcomes, i.e. faces 1, 2, 3, 4, 5 and 6.
- Consider the experiment of selecting a card from a pack of 52 cards. The sample space of this experiment consists of 52 distinct outcomes.
The probability of all the outcomes in a sample space always sum up to 1.
Thus, fulfilling the condition of a valid sample space.
In this case, a game is played by spinning a pointer of a spinner with six equal-sized sections.
So, the pointer has 6 possible sections to land.
The pointer lands on any of the 6 sections with same probability, i.e. .
The sample space of the experiment is:
S = {1, 2, 3, 4, 5, 6}