To figure this out, we need to use fractional proportions.
Currently, we have $120, the amount earned, and 2 days, the current rate.
Our fraction for this is: 120 / 2 = x / 6, x being the amount earned in 6 days.
Let's use a little technique to help us answer faster.
With our current money earned, 120, and our current days, 2, we can divide 120 by 2 to find out how many we earned in 1 day.
120 / 2 = 60.
We earned $60 per day.
With this formula, 60d, d being the amount of days, we can solve quicker.
We are solving for 6 days, so multiply $60 by 6 days.
60 x 6 = 360
Your proportion is :
120/2 : 360/6
I hope this helps!
Answer: 72250 dollars
Step-by-step explanation:
Just divide 289000 by 4 and you get 72250 dollars
Answer:
Top 3%: 4.934 cm
Bottom 3%: 4.746 cm
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Top 3%
Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.




Bottom 3%
Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.




Answer:
Step-by-step explanation:
1. Replace F(x) with y.
2. Interchange x and y in y = 2x + 1: x = 2y + 1
3. Solve this result for y: 2y = x - 1, or y = (x - 1)/2
4. Replace y with:
-1
F (x):
-1 x - 1
F (x) = -----------
2