Answer:
As a rule of thumb, if you know only the two shorter side, their ratio is the tangent of the angle opposed to the side you use as a numerator.
If you know one side and the hypotenuse, the ratio side/hypotenuse is either the sine of the opposite angle, or the cosine of the adjacent angle.
When there are 1000 repetitions, the mean will be 5.002.
The charts that you have list the number of total heads when you flip the coin 10 times in each trial.
Multiply the total of each by the number number of heads for that category and divide by 1000.
1 x 0
8 x 1
43 x 2
117 x 3
2017 x 4
248 x 5
203 x 6
121 x 7
45 x 8
6 x 9
1 x 10
If you add up those products and divide by 1000, you have 5.002.
Using the law of large numbers, the experiment with 1000 rolls will be the closest to the theoretical amount.
Answer:
Step-by-step explanation:
We are given:
Separation of Variables:
So:
Integrate:
Integrate:
Raise both sides to e:
Simplify:
So:
Simplify:
Let the amount invested with 5% interest be x
Therefore, the amount invested with 6% interest will be (6000-x)
It is given that the total interest earned yearly is $337.5. Thus, the equation of interest will be:
Multiplying both sides by 100 we get:
Subtracting both sides by 36000 we get:
Thus, the amount invested at 5% is $2250
Therefore, the amount invested at 6% will be $(6000-2250)=$3750
5r-4 and r=-5 so it would be 5(-5)=-20, then -4 , so is is -24
