Answer:
3
Step-by-step explanation:
108 divided by 36 = 3
search up 108 / 36
The equation is b-a= 21;
2b-5a = 18
a=8 and b= 29
therefore 29-8= 21
2 (29) -5 (8) = 18
58-40=18
The histogram is attached with the answer.
<h3>What is a Histogram ?</h3>
It is a mathematical representation of data in a bar shaped graph , the range is user defined.
The histogram is drawn and the shape of the histogram is left skewed as the peak of the graph lies to the left of the centre.
The histogram is attached with the answer.
The complete question is
the frequency table shows the results of a survey that asked people how many hours they spend working in the yard per month. display the data in a histogram. describe the shape of the distribution
The data is attached with the answer.
To know more about Histogram
brainly.com/question/16819077
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There are an infinite number of such subsets. One of them is the set of real numbers in the interval (7, 8). Perhaps you're thinking "irrational" numbers, as opposed to "integers" or "rational" numbers.
Using the normal distribution, it is found that 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.
<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.
The mean and the standard deviation are given, respectively, by:
![\mu = 33.8, \sigma = 1.2](https://tex.z-dn.net/?f=%5Cmu%20%3D%2033.8%2C%20%5Csigma%20%3D%201.2)
The proportion of full term newborn female infants with a head circumference between 31 cm and 36 cm is the <u>p-value of Z when X = 36 subtracted by the p-value of Z when X = 31</u>, hence:
X = 36:
![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{36 - 33.8}{1.2}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B36%20-%2033.8%7D%7B1.2%7D)
Z = 1.83
Z = 1.83 has a p-value of 0.9664.
X = 31:
![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{31 - 33.8}{1.2}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B31%20-%2033.8%7D%7B1.2%7D)
Z = -2.33
Z = -2.33 has a p-value of 0.0099.
0.9664 - 0.0099 = 0.9565.
0.9565 = 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.
More can be learned about the normal distribution at brainly.com/question/24537145
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