The empirical, or experimental, probability of an event is the number of times the event occurred over the number of times the experiment was conducted. In this case it would be 55/70 = 11/14, as there were 55 heads flipped out of a total of 70 coin flips.
Mathematically speaking, no, this is not a fair coin. To be fair, both events would have to have the same chance of happening. Since the probability of heads was 55/70, that leaves 15/70 for tails. The chances are not equal, so not fair.
Answer:
B
Step-by-step explanation:
in a 30,60,90 triangle the longer leg is rt3 times the value of the shorter leg and the hypotenuse is 2 times greater than the shorter leg.
We need to use the variables m and n to represent both numbers.
Their sum must equal -15. Therefore, we can write the next equation:
m + n = -15
If one number is five less than the other, we need to choose one variable and then we can write it in terms of the other variable. Then:
n = m-5
To find the value for each number, we can replace the n equation on the first equation:
m + n = -15
m + (m-5)= -15
Then:
m + m - 5 = -15
2m -5 = -15
Solve the equation for m:
Add both sides 5 units:
2m - 5 +5 = -15+5
2m = -10
Divide both sides by 2:
2m/2 = -10/2
m = -5
Finally, replace the m value on the first equation:
m + n = -15
-5 + n = -15
Then, solve the equation for n:
Add both sides by 5:
-5+5 + n = -15 +5
n = -10
Hence, both numbers are m=-5 and n= -10.
The equations separated by a comma are m + n = -15,n = m-5.
The numbers separated by a comma are -5,-10.
Answer:
Step-by-step explanation:
(x - 4)
What you are being asked to do is find the exact same binomial in the top as is in the bottom.
But there's a small catch. You must stipulate that x cannot equal 4. If it does, then you will get 0/0 which is undefined. You can't have that happening -- not at this level.
Any other value for x is fine.
