Answer:
3x - 14
Step-by-step explanation:
x - 4 x 2 + 2x- 6 multiply the numbers x - 8 + 2x - 6
collect like terms 3x - 14
Relative frequency or experimental probability is calculated from the number of times an event happens, divided by the total number of trials in an actual experiment.
The theoretical probability of getting a head when you flip a fair coin is
1
2
, but if a coin was actually flipped 100 times you may not get exactly 50 heads, although it should be close to this amount.
If a coin was flipped a hundred times, the amount of times a head actually did appear would be the relative frequency, so if there were 59 heads and 41 tails the relative frequency of flipping a head would be
59
100
(or 0.59 or 59%).
Relative frequency is used when probability is being estimated using the outcomes of an experiment or trial, when theoretical probability cannot be used.
For example, when using a biased dice, the probability of getting each number is no longer
1
6
. To be able to assign a probability to each number, an experiment would need to be conducted. From the experimental results, the relative frequency could be calculated.
The more times that an experiment has been carried out, the more reliable the relative frequency is as an estimate of the probability.
Example
Ella rolls a dice and records the number of times she scores a six. Find the relative frequency that Ella rolls a six on her dice.
Answer:
x = 126/999
Step-by-step explanation:
Let x = .126126126 repeating
Multiply each side by 1000
1000x = 126.126126126 repeating
subtract the first equation from the second
1000x = 126.126126126 repeating
- x = .126126126 repeating
999x = 126
Divide each side by 999
999x/999 = 126/999
x = 126/999
Answer:
Compound Interest Formula Solved For Rate:
log (1 + rate) = {log(total) -log(Principal)} ÷ Years
log (1 + rate) = {log(5,800) -log(5,000)} ÷ 5
log (1 + rate) = [3.7634279936 -3.6989700043] / 5
log (1 + rate) = 0.0644579893 / 5
log (1 + rate) = 0.0128915979
Then we raise 10 to the power of 0.0128915979 which equals
1.0301289629 = 1 + rate
Therefore, rate = .0301289629 and we multiply by 100 to make a percentage:
3.01289629 %
Source: https://1728.org/compint2.htm
https://1728.org/compint.htm
Step-by-step explanation:
The integers are 68 and 70.
One half of 68 is 34.
One fifth of 70 is 14.
34 + 14 = 48 and 68 and 70 are consecutive even integers.