A = L x W = 8 x 17 = 136
answer
C. 136 sq. units
Answer:
- <u>Option C. The Network C sample.</u>
Explanation:
The variability of a sample may be described by using some common statistics like the variance and the standard deviation.
The variance and the standard deviation measure the difference between the values of the data and the mean. The variance is the average square of those differences or deviations. The standard deviation is the square root of the variance.
Thus, both variance and deviations, being an average of the differences of the data from the mean contain the number of data in the denominator of the equation.
That lets you know to conclude that the larger the number of data (the larger the sample) the smaller the variance and the standard deviation, this is the lower the variability of the data.
Hence, Network C, which has the greatest number of voters sampled (1,800) is likely to have the least variability.
Answer: 3 4/9 and 4 19/29
Step-by-step explanation: Mixed fractions can be converted into improper fractions. Example: 3 1/2=
3×2+1= 7/2
So, 3 4/9= 3×9+4= 31/9
4 19/29= 4×29+19= 135/29
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Answer: x = 9, y = 5
Step-by-step explanation:
If all of the sides are equal, it is an equilateral triangle. Equilateral triangles are also equiangular. The angles of a triangle add up to 180 degrees, so each angle must equal 60 degrees.
set the equation equal to 60 to solve for x
7x - 3 = 60
add three to both sides
7x = 63
divide both sides by 7
x = 9
find y by setting the equation equal to 60
11y + 5 = 60
subtract 5 from each side
11y = 55
divide both sides by 11
y = 5
Using the normal distribution, there is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.
<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:
- 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
.
For this problem, these parameters are given as follows:
A sum of 7100 is equivalent to a sample mean of 7100/40 = 177.5, which means that the probability is the <u>p-value of Z when X = 177.5</u>, hence:
By the Central Limit Theorem:
Z = -0.79
Z = -0.79 has a p-value of 0.2148.
There is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.
More can be learned about the normal distribution at brainly.com/question/28135235
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