Answer:
cm
Step-by-step explanation:
C = ![d\pi](https://tex.z-dn.net/?f=d%5Cpi)
C = ![20\pi](https://tex.z-dn.net/?f=20%5Cpi)
We would need to look over the z table to find the area under the standard normal distribution curve to the left of z = 1.04. Then we'll subtract it from 1 to get the proportion of a normal distribution corresponding to z scores greater than 1.04.
By looking at the z table, we can see that the area to the left of z = 1.04 is 0.8508. So the proportion of a normal distribution to the right of z = 1.04 is 1 – 0.8508 = 0.1492.
The answer is 0.1492.
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:
€24
Step-by-step explanation:
We can use ratios to solve this.
3:4 = 18:x
Cross multiply: 3x = 18*4
Divide: x = 18*4/3
Simplify: x = 6*4 = 24
Answer: w = -3u/2 + 2
Step-by-step explanation:
-12u + 13 = 8w - 3
-12u + 13 + 3 = 8w -3 + 3
-12u + 16 = 8w
w = -3u/2 + 2