Answer:
Step-by-step explanation:
A and B are both equal (corresponding parts)
A = B
5x - 5 = 3x + 13 Add 5 to both sides
5x = 3x + 13 + 5 Combine
5x = 3x + 18 Subtract 3x from both sides
5x - 3x = 18 Combine
2x = 18 Divide by 2
2x/2 = 18/2
x = 9
Angle B
B = 3x + 13 Let x = 9
B = 3*9 + 13
B = 27 + 13
Angle B = 40
Log(4k - 5) = log(2k - 1)
log(4k) - log(5) = log(2k) - log(1)
0.6020599913k - 0.6989700043 = 0.3010299957k - 0
0.6020599913k - 0.6989700043 = 0.3010299957k
<u>-0.6020599913k -0.6020599913k</u>
<u>-0.6989700043</u> = <u>-0.3010299957k</u>
-0.3010299957 -0.3010299957
2.321928094 = k
Answer:
the regression line
Step-by-step explanation:
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
Answer:
Noncollinear points
Step-by-step explanation:
Collinear points lie on the same line. Noncollinear points are the opposite.