Select the equivalent expression . ( 8^ -5 2^ -2 )^ -4 =?
1 answer:
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Answer:
9.18% probability that a randomly selected person sleeps 6 hours or less
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 that a randomly selected person sleeps 6 hours or less?
This is the pvalue of Z when X = 6. So
has a pvalue of 0.0918
9.18% probability that a randomly selected person sleeps 6 hours or less
Answer:
m∠UVW = 53°
Step-by-step explanation:
From the picture attached,
m(∠VTU) = (x - 2)°
m(∠TUV) = (2x + 11)°
m(∠UVW) = (6x - 15)°
Since, ∠UVW is the exterior angle of the ΔTUV,
By the triangle sum theorem,
m∠VTU + m(∠TUV) + m(∠UVW) = 180°
(x - 2)° + (2x + 11)° + (6x - 15)° = 180°
9x - 6 = 180
9x = 186
x =
x =
By the property of exterior angle of a triangle,
m(∠UVW) = m(∠VTU) + m(TUV)
= (x - 2) + (2x + 11)
= 3x - 9
Now by substituting the value of x,
(3x - 9)° =
= 62 - 9
= 53°
Therefore, m∠UVW = 53°
