Can somebody please explain how to do this please? (5 points)
1 answer:
Look at the picture.
∠2 and ∠3 are Corresponding Angles. j || k, thereofre m∠2 = m∠3.
∠1 and ∠3 are supplementary angles, therefore m∠1 + m∠3 = 108°.
m∠1 = 10x + 4, m∠2 = m∠3 = 4x - 6. Therefore we have the equation:
(10x + 4) + (4x - 6) = 180
(10x + 4x) + (4 - 6) = 180
14x - 2 = 180 <em>add 2 to both sides</em>
14x = 182 <em>divide both sides by 14</em>
x = 13
10x + 4 = 10(13) + 4 = 130 + 4 = 134
4x - 6 = 4(13) - 6 = 52 - 6 = 46
<h3>Answer x = 13, m∠1 = 134°, m∠2 = 46°</h3>
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Answer:
14.63% probability that a student scores between 82 and 90
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 student scores between 82 and 90?
This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 82. So
X = 90
has a pvalue of 0.9649
X = 82
has a pvalue of 0.8186
0.9649 - 0.8186 = 0.1463
14.63% probability that a student scores between 82 and 90
It opens upward when X is an even power. It would be for X squared or X raised to the 4th power.
