Answer:
The only two values that have the same absolute value of 34, is +34 and -34.
Step-by-step explanation:
Answer:
10:12:8
Step-by-step explanation:
so, there are 10 animal exhibits, 12 gardening exhibits, and 8 farm equipment exhibits. so it would look like this 10:12:8
Answer:
![z](https://tex.z-dn.net/?f=%20z%3C3.95)
Step-by-step explanation:
Assuming this complete question:
"Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean
kilograms and standard deviation
kilograms. Let x be the weight of a fawn in kilograms. Convert the following z interval to a x interval.
"
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where
and ![\sigma=4.2](https://tex.z-dn.net/?f=%5Csigma%3D4.2)
And the best way to solve this problem is using the normal standard distribution and the z score given by:
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
We know that the Z scale and the normal distribution are equivalent since the Z scales is a linear transformation of the normal distribution.
We can convert the corresponding z score for x=42.6 like this:
![z=\frac{42.6-26}{4.2}=3.95](https://tex.z-dn.net/?f=%20z%3D%5Cfrac%7B42.6-26%7D%7B4.2%7D%3D3.95)
So then the corresponding z scale would be:
![z](https://tex.z-dn.net/?f=%20z%3C3.95)
6a-1+5a-4
6a-1+5a=4
6a+5a=5
11a=5
11a-5