In the figure, AOB and COD are straight lines. Find x and y. E A 20 65 B
1 answer:
The image of the straight lines is missing so i have attached it.
Answer:
x = 20°
y = 120°
Step-by-step explanation:
From the image attached, we can say that;
3x + (7x - 20) = 180
This is because sum of angles on a straight line is 180°
Thus;
3x + 7x - 20 = 180
10x = 180 + 20
10x = 200
x = 200/10
x = 20°
Also,3x + y = 180
Because sum of angles on a straight line is 180°. Thus;
3(20) + y = 180
60 + y = 180
y = 180 - 60
y = 120°
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Answer:
The minimum value of the bill that is greater than 95% of the bills is $37.87.
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
What are the minimum value of the bill that is greater than 95% of the bills?
This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
The minimum value of the bill that is greater than 95% of the bills is $37.87.