An article reports Sales have grown by 30% this year to $200 million, what were sales before the growth?
1 answer:
Answer:
Price before growth = $ 153.85 million
Step-by-step explanation:
Given:
Percentage = 30%
Rate after Increase =new value= $200 million
To Find:
Sales before growth =old value= ?
Solution:
We Know the formula for Percentage growth which is given by the formula
Percentage growth%
Now let old value = x
So
Difference = New Value - x
= 2000 - x
We have formula
Percentage growth%
Putting in values
30 %%
30
Putting in values
30
multiplying both sides by x
it becomes
30 x = (200-x)*100
Multiplying inside
30 x = 20000 - 100 x
Adding 100 x on both sides
30 x + 100 x = 20000 - 100 x + 100 x
it becomes
130 x = 20000
Dividing both sides by 130
itgives us
x = $ 153.85 million
Price before growth = $ 153.85 million
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Answer:
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent the scores, and for this case we know the distribution for X is given by:
And let represent the sample mean, the distribution for the sample mean is given by:
On this case
2) Calculate the probability
We want this probability:
The best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this: