5/13
The x value is negative (second quadrant). 13 is the hypotenuse. So the missing side is 13^2 = (-12)^2 + y^2.
Sin theta is the opposite (5) over hypotenuse (13).
Answer:
9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated
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 probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?
This is 1 subtracted by the pvalue of Z when X = 16. So



has a pvalue of 0.9082
1 - 0.9082 = 0.0918
9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated
Answer:
A = 24
B = 8
C = 6
Step-by-step explanation:
4:3 from B:C
8:6
8 games won by B and 6 games won by C.
3:1 from A:B
24:8
24 by A and 8 by B
Answer:
The series
1 -0.5-2-3.5 -5-6.5-8-9.5-11-12.5-14-15.5 upto 12 terms
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given series 1 -0.5 -2 +.........
we know that the sum of the sequence is called a series
The sequence is 1, -0.5, -2, -3.5,.....is in AP
a = 1 and the difference between the two terms is equal 'd' = -1.5
<u><em>Step(ii):-</em></u>
<u><em>adding 1.5 value of each term</em></u>
The series
1 -0.5-2-3.5 -5-6.5-8-9.5-11-12.5-14-15.5 upto 12 terms
<u><em></em></u>
The answer is 49.89
hope this helped:)