Answer:
If it's reflected on the y-axis, the answer for N would be (-2,-3).
Answer:
12
Step-by-step explanation:
Answer:
x = 63.6
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 and also the area to its left. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to its right.
In this problem, we have that:
![\mu = 38, \sigma = 11](https://tex.z-dn.net/?f=%5Cmu%20%3D%2038%2C%20%5Csigma%20%3D%2011)
Find a value of x that has area 0.01 to its right
This is x when Z has a pvalue of 1-0.01 = 0.99. So it is X when Z = 2.3267.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![2.3267 = \frac{X - 38}{11}](https://tex.z-dn.net/?f=2.3267%20%3D%20%5Cfrac%7BX%20-%2038%7D%7B11%7D)
![X - 38 = 11*2.3267](https://tex.z-dn.net/?f=X%20-%2038%20%3D%2011%2A2.3267)
![X = 63.6](https://tex.z-dn.net/?f=X%20%3D%2063.6)
So x = 63.6
Answer:
-![\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D)
Step-by-step explanation:
A root with square root or under root is only obtained when we take the square root of both sides. Remember that when we take a square root, there are two possible answers:
- One answer with positive square root
- One answer with negative square root
For example, for the equation:
![x^{2}=3](https://tex.z-dn.net/?f=x%5E%7B2%7D%3D3)
If we take the square root of both sides, the answers will be:
![x=\sqrt{3} \text{ or } x= -\sqrt{3}](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B3%7D%20%5Ctext%7B%20or%20%7D%20x%3D%20-%5Csqrt%7B3%7D)
Only getting one solution with square root is not possible. Solutions with square root always occur in pairs.
For given case, the roots are 6 and
. Therefore, the 3rd root of the polynomial function f(x) had to be -![\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D)
It seems you made error while writing option B, it should be - square root of 5.
Answer:
17 square yards
Step-by-step explanation:
split it so you have a big rectangle and a small one. find the areas of both
the big one was 5(3)= 15, the second was 1(2)=2. add those together.