G The exchange rate from US Dollars (USD) to Indian Rupee (INR) is normally distributed with an average of 67.43 and a standard deviation of 1.2. What is the exchange rate for the 20th percentile? Enter your answer to 4 decimal places.

The exchange rate for the 20th percentile is 66.422

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:

What is the exchange rate for the 20th percentile?

This is X when Z has a pvalue of 0.2. So it is X when Z = -0.84.

The exchange rate for the 20th percentile is 66.422

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

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step-by-step explanation: