Answer:
48.30
Step-by-step explanation:
First determine the tip
42 *15%
42 *.15 =6.30
Add this to the amount of the tip
42 + 6.30 =48.30
The total amount is 48.30
We first do:
∅ = sin⁻¹(0.3)
∅ = 17.5°
To go into the second quadrant, we add 90°.
∅ = 17.5 + 90
= 107.5°
The answer is A.
Answer:

Step-by-step explanation:
The given exponential form is:

The base of the given expression on the right is 13 and the exponent is 2.
The number is 169.
In terms of logarithms, the base still remains the base and the exponent becomes the result of the logarithm of the number 169 to the given base 13.

The decimal gives after the 9. There are four places behind the decimal between the two numbers being multiplied so there have to be 4 places behind the decimal in your answer.
Answer:
0.281 = 28.1% probability a given player averaged less than 190.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
A bowling leagues mean score is 197 with a standard deviation of 12.
This means that 
What is the probability a given player averaged less than 190?
This is the p-value of Z when X = 190.



has a p-value of 0.281.
0.281 = 28.1% probability a given player averaged less than 190.