a)
We know that a 4-sided polygon's angles add up to 360 degrees
so to find x:
360-(69+118+84)=89 degrees
b)
For a 4-sided polygon we also know that the outside angles add up to 360 degree.
so to find p:
360-(100+62+106)=92 degrees
Hope it helps!
Answer:
The answer is A; H(a) = 3.00a +19.00; shift 15 units up
Step-by-step explanation:
If the downloading feature is enabled the cost function becomes H(a) = 3.00a + 19.00
The y-interpret of H(a) is 15 greater than the y-intercept if C(a)
The slopes of both functions are the same
Answer:
The product is 240.
Step-by-step explanation:
The product is always when you multiply numbers together.
Answer:
88.88% probability that it endures for less than a year and a half
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:
![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 question, we have that:
![\mu = 66, \sigma = 10](https://tex.z-dn.net/?f=%5Cmu%20%3D%2066%2C%20%5Csigma%20%3D%2010)
The next career begins on Monday; what is the likelihood that it endures for less than a year and a half?
One year has 52.14 weeks. So a year and a half has 1.5*52.14 = 78.21 weeks.
So this probability is the pvalue of Z when X = 78.21.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{78.21 - 66}{10}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B78.21%20-%2066%7D%7B10%7D)
![Z = 1.22](https://tex.z-dn.net/?f=Z%20%3D%201.22)
has a pvalue of 0.8888
88.88% probability that it endures for less than a year and a half
-2x*(-3x)-2x*(-4y)-2x*(-8)
answer :6x^2+8xy+16x