Answer: -1.30059145
0.650295724+1.12634523i
−1.30059145
0.650295724−1.12634523i
Step-by-step explanation:
Answer is b because the veritable is just 1 but the 4 stays the same
Answer:
-2
Step-by-step explanation:
To find the slope of a line, you need to find the
between two points. I will be using the points (-3, 2) and (-1, -2).
= ![\frac{-2-2}{-1-(-3)}](https://tex.z-dn.net/?f=%5Cfrac%7B-2-2%7D%7B-1-%28-3%29%7D)
= ![\frac{-2-2}{-1+3}](https://tex.z-dn.net/?f=%5Cfrac%7B-2-2%7D%7B-1%2B3%7D)
= ![\frac{-4}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%7D%7B2%7D)
= -2
Answer:
Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Middle 68%
Between the 50 - (68/2) = 16th percentile and the 50 + (68/2) = 84th percentile.
16th percentile:
X when Z has a pvalue of 0.16. So X when Z = -0.995
84th percentile:
X when Z has a pvalue of 0.84. So X when Z = 0.995.
Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve
Step-by-step explanation:
so, we find the slope-intercept form :
y = ax + b
"a" is the slope (it is always the factor of x), "b" is the y-intercept (the y-value when x = 0).
we have the slope : -6
and the given point (0, -10) gives us already the y-value when x = 0 : -10
therefore, the equation is
y = -6x - 10