-0.71x + 0.41x = 6.3 _x = 6.3
1 answer:
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Answer:
0.8749
Step-by-step explanation:
Problems of normally distributed samples can be 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 Z is less than 1.15 is:
This is the pvalue of Z = 1.15, which is 0.8749.
In the shown picture, To find the shaded area we need to find the total area of the square, subtracted by the area of the circle.
the area of the shaded region = the area of the square - the area of the circle
the area of the square = L² = 7² = 49 cm²
the area of the circle = πr² = 3.14 x 3.5² = 38.5 cm²
the area of the shaded region = 49 - 38.5 = 10.5 cm²
the area of the shaded region = the area of the square - the area of the circle
the area of the square = L² = 7² = 49 cm²
the area of the circle = πr² = 3.14 x 3.5² = 38.5 cm²
the area of the shaded region = 49 - 38.5 = 10.5 cm²