Answer:
(-3,-4)
Step-by-step explanation:
Answer: 2
Step-by-step explanation: 6 + (-4) = 6 - 4 = 2
Answer:
The data item is ![X = 580](https://tex.z-dn.net/?f=X%20%3D%20580)
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.
Mean of 400 and a standard deviation of 60.
This means that ![\mu = 400, \sigma = 60](https://tex.z-dn.net/?f=%5Cmu%20%3D%20400%2C%20%5Csigma%20%3D%2060)
z=3
We have to find X when Z = 3. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![3 = \frac{X - 400}{60}](https://tex.z-dn.net/?f=3%20%3D%20%5Cfrac%7BX%20-%20400%7D%7B60%7D)
![X - 400 = 3*60](https://tex.z-dn.net/?f=X%20-%20400%20%3D%203%2A60)
![X = 580](https://tex.z-dn.net/?f=X%20%3D%20580)
The data item is ![X = 580](https://tex.z-dn.net/?f=X%20%3D%20580)
I believe that A and D would be the correct answer. Because both are 30,60,90 triangles and would be congruent. The other 2 triangles only have 1 angle and their side measures are at two different places meaning they cannot be congruent.
(Credit goes to google)<span>f ( x ) = a </span>x<span>. where x is a variable, and a is a constant called the base of the </span>function<span>. The most commonly encountered </span>exponential-function<span> base is the transcendental number e , which is equal to approximately 2.71828.</span>