Write an equation system based on the problem. For an instance, x represents the number of $3 tickets sold and y represents the number of $5 tickets sold.
x + y = 40
3x + 5y = 136
Solve the equation system using elimination method. Use elimination of y in order to find the value of x
x + y = 40 (multiplied by 5)
3x + 5y = 136 (multiplied by 1)
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5x + 5y = 200
3x + 5y = 136
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2x = 64
x = 64/2
x = 32
The value of x is 32. She sold 32 tickets worth $3
Ok so BFD is a 90 degree angle. So you know you have 43 in one of the spaces so that means all you have to do is take 90 and minus 43 which is 47.
Answer:
(A) 0.0013
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:
The probability that telephone call selected a random will last more than 15.5 min is most nearly
This is 1 subtracted by the pvalue of Z when X = 15.5.
So
has a pvalue of 0.9987
1 - 0.9987 = 0.0013
So the correct answer is:
(A) 0.0013