Answer:
2340 degrees.
Step-by-step explanation:
The sum of the interior angle measures of any polygon can be calculated using the following expression (
is the number of sides the polygon has):
For a 15-sided polygon, plug in 15 for n and simplify:
Multiply to solve:
For a 15-sided polygon, the sum of the interior angles must be 2340 degrees. You can go a step further and divide 2340 by 15 to figure out the individual measure of each interior angle (156 degrees).
Answer:
Third option:
Explanation:
The third option states that...
The graph crosses the y axis at (0,-5), which is correct. (0,-5) is the y-intercept of this graph.
The graph decreased from x=-10 to x=-2, which is also true. We can see a decrease starting from when x=-10 that ends when x=-2.
The graph remained constant from x=-2 to x=-10, which is correct. We do not see an increase or decrease on this graph from when x=-2 to when x=10.
I hope this helps! Please comment if you have any questions.
Answer:
Mean, m = 72
Step-by-step explanation:
It is given that, Carl earned grades of 62, 78, 59, and 89 on four math tests.
It is required to find the mean of his grades.
Mean of a data is given by :
Sum of observations is 62 + 78 + 59 + 89 = 288
Total no of observations are 4
So, mean of his grades is :
So, the mean of his grades is 72.
<h3>
Answer: Choice D) -$22</h3>
You'll lose on average $22 per roll.
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Explanation:
Normally there is a 1/6 chance to land on any given side of a standard die, but your friend has loaded the die in a way to make it have a 40% chance to land on "1" and an equal chance to land on anything else. Since there's a 40% chance to land on "1", this leaves 100% - 40% = 60% for everything else.
Let's define two events
- A = event of landing on "1".
- B = event of landing on anything else (2 through 6).
So far we know that P(A) = 0.40 and P(B) = 0.60; I'm using the decimal form of each percentage.
The net value of event A, which I'll denote as V(A), is -100 since you pay $100 when event A occurs. So we'll write V(A) = -100. Also, we know that V(B) = 30 and this value is positive because you receive $30 if event B occurs.
To recap things so far, we have the following:
- P(A) = 0.40
- P(B) = 0.60
- V(A) = -100
- V(B) = 30
Multiply the corresponding probability and net value items together
- P(A)*V(A) = 0.40*(-100) = -40
- P(B)*V(B) = 0.60*30 = 18
Then add up those products:
-40+18 = -22
This is the expected value, and it represents the average amount of money you earn for each dice roll. So you'll lose on average about $22. Because the expected value is not zero, this means this game is not mathematically fair.
This does not mean that any single die roll you would lose $22; instead it means that if you played the game say 1000 or 10,000 times, then averaging out the wins and losses will get you close to a loss of $22.
Answer:
the first one
Step-by-step explanation:
y-y1=m(x-x1)
y-20=12(x-3)
simplify:
