ANSWER
![88 \: inches](https://tex.z-dn.net/?f=88%20%5C%3A%20inches)
EXPLANATION
The given bicycle has a tyre that is 28 inches in diameter.
How far the bicycle moves forward each time the wheel goes around is the circumference of the bicycle tyre.
This is calculated using the formula:
![C =\pi \: d](https://tex.z-dn.net/?f=C%20%3D%5Cpi%20%5C%3A%20d)
We substitute the diameter and
![\pi = \frac{22}{7}](https://tex.z-dn.net/?f=%5Cpi%20%3D%20%20%5Cfrac%7B22%7D%7B7%7D%20)
![C = \frac{22}{7} \times 28](https://tex.z-dn.net/?f=C%20%3D%20%20%5Cfrac%7B22%7D%7B7%7D%20%20%5Ctimes%2028)
This simplifies to
![C =22 \times 4](https://tex.z-dn.net/?f=C%20%3D22%20%5Ctimes%204)
![88 \: inches](https://tex.z-dn.net/?f=88%20%5C%3A%20inches)
Answer:
you get the answer yet im trying to figure it out to
Step-by-step explanation:
Ratio 1:2 from boys to girls
Using the normal distribution, the probabilities are given as follows:
a. 0.4602 = 46.02%.
b. 0.281 = 28.1%.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
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 above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
The parameters are given as follows:
![\mu = 959, \sigma = 263, n = 37, s = \frac{263}{\sqrt{37}} = 43.24](https://tex.z-dn.net/?f=%5Cmu%20%3D%20959%2C%20%5Csigma%20%3D%20263%2C%20n%20%3D%2037%2C%20s%20%3D%20%5Cfrac%7B263%7D%7B%5Csqrt%7B37%7D%7D%20%3D%2043.24)
Item a:
The probability is <u>one subtracted by the p-value of Z when X = 984</u>, hence:
![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{984 - 959}{263}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B984%20-%20959%7D%7B263%7D)
Z = 0.1
Z = 0.1 has a p-value of 0.5398.
1 - 0.5398 = 0.4602.
Item b:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
By the Central Limit Theorem:
![Z = \frac{X - \mu}{s}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7Bs%7D)
![Z = \frac{984 - 959}{43.24}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B984%20-%20959%7D%7B43.24%7D)
Z = 0.58
Z = 0.58 has a p-value of 0.7190.
1 - 0.719 = 0.281.
More can be learned about the normal distribution at brainly.com/question/4079902
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