Answer:
the first one
Step-by-step explanation:
the two planes intersect at line YZ, where they meet
tip: planes intersects at a line, just like how lines intersect at a point
hope this helps :)
Answer:
A person must get an IQ score of at least 138.885 to qualify.
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:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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:
![\mu = 115, \sigma = 17](https://tex.z-dn.net/?f=%5Cmu%20%3D%20115%2C%20%5Csigma%20%3D%2017)
(a). [7pts] What IQ score must a person get to qualify
Top 8%, so at least the 100-8 = 92th percentile.
Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![1.405 = \frac{X - 115}{17}](https://tex.z-dn.net/?f=1.405%20%3D%20%5Cfrac%7BX%20-%20115%7D%7B17%7D)
![X - 115 = 17*1.405](https://tex.z-dn.net/?f=X%20-%20115%20%3D%2017%2A1.405)
![X = 138.885](https://tex.z-dn.net/?f=X%20%3D%20138.885)
A person must get an IQ score of at least 138.885 to qualify.
Answer:
$2,874.19
Step-by-step explanation:
Hope this helps
Neither. They can’t be parallel because both lines have different slopes. They aren’t perpendicular either because their slopes don’t multiply to equal -1.
Answer:
Y=4x^5-12x^4+6x and y=5x^3-2x
Step-by-step explanation: