1, yes by the rule of S:A:S
2. yes by the rule of aas
5. yes by the rulee of side-hypnotuse-angle
4 yes by side angle side
Answer:
The answer is that y = 3
Step-by-step explanation:
In order to find y, you must first find x. You can do that by noting the two angles next to each other create a straight line and therefore are equal to 180 degrees.
(4x + 23) + (9x - 38) = 180
13x - 15 = 180
13x = 195
x = 15
Now that we have the value of x, we can use the alternating interior angle theorem to tell that 27y - 1 is equal to 4x + 23. Using our value for x, we can solve for y.
27y - 1 = 4x + 23
27y - 1 = 4(15) + 23
27y - 1 = 60 + 23
27y - 1 = 83
27y = 84
y = 3
Answer:
Step-by-step explanation:
The mean income for people in a certain city (in thousands of dollars) is 37 with standard deviation 80 (thousands of dollars). A pollster draws a sample of 45 people to interview.
A. What is the probability that the mean income of the sample people is more than 24 (thousands of dollars)?
B. What is the probability that the sample mean income is between 41 and 45?
C) Find the 80th percentile of the sample mean.
D) Would it be unusual for the sample mean to be less than 38?
E) Do you think it would be unusual for an individual to have an income of less than 38? Explain.
The product of A and B is:
Therefore the answer is the third choice.
Pieces of data such as $18,000 and $350,000 represent outliers in this chart in standard deviation .
How to interpret a standard deviation?
- The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.
- The standard deviation calculates how much the data vary from the mean value. It is helpful for contrasting data sets that might have the same mean but a different range.
In this chart, there are outliers. The main outliers are $18,000 and $350,000. This is because we know the mean or average is $63,423, and therefore values that are too different from this average are considered outliers.
Learn more about "standard deviation"
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