Answer:
For a height of 66 inches, Z = 0.65.
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.
The average height was about 64.3 inches; the SD was about 2.6 inches.
This means that ![\mu = 64.3, \sigma = 2.6](https://tex.z-dn.net/?f=%5Cmu%20%3D%2064.3%2C%20%5Csigma%20%3D%202.6)
66 inches:
The z-score for a height of 66 inches is:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{66 - 64.3}{2.6}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B66%20-%2064.3%7D%7B2.6%7D)
![Z = 0.65](https://tex.z-dn.net/?f=Z%20%3D%200.65)
For a height of 66 inches, Z = 0.65.
Answer:
Step-by-step explanation:
solution 1 :
adult : 7 - x
child : x
total spend : 54.50 = (7 - x) * 9.5 + x * 6.5
we solve : 54.50 = 66.5 - 3x , x = 4
solution 1 :
adult : y
child : x
x + y = 7.......(1)
total spend : 54.50 = y * 9.5 + x * 6.5........(2)
we solve : x= 4 , y = 3
Answer: 3 to the 4 power
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
XY=5x and 25. Therefore, 5x and 25 have the same value. 5 times 5 is 25 so x=5
Hello, if the diameter is 6cm, the circumference would be 18.84cm - hope this helps!