The following data shows the annual rainfall amounts for Albuquerque over the past ten years. Which of these values should be considered outliers? Precipitation (inches): 9.4, 9.1, 9.8, 10.9, 9.2, 10.7, 9.1, 8.1, 9.1, 9.4
A. 8.1
B. 10.9
C. 8.1 and 10.9
D. None of the above
Answers
Arrange in ascending order:
8.1, 9.1, 9.1, 9.1, 9.2, 9.4, 9.4, 9.8, 10.7, 10.9
The outlier is 10.9
Mean = 9.48
Median = 9.3
Q1 = 9.1
Q3 = 9.8
IQR = 0.7
Lower fence: 8.05
Upper fence: 10.85
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Answers
Answer: B
Step-by-step explanation:
Looking at the inequalities, both are ≤ and ≥. That means the x is not only greater or less than, but they are also equal to the number. With this fact, we can eliminate D since D has open circles.
Orr problem has 2 separate inequalities. Both are doing in different directions, hence the ≤ and ≥. This makes B automatically our answer. We can check by graphing each of the inequalities on the number line.
x≤5/4
We know that 5/4=1.25. We start at 1.25. Then the inequality tells less than or equal to. Since it is less than, we would travel to the left, where the numbers get smaller and smaller.
x≤5/2
5/2=2.5 We start at 2.5. The inequality tells us greater than or equal to. This means we have to travel to the right, where the number gets larger and larger than 2.5.
Answers
The fraction of all the 10-digit numbers with distinct digits that have the property that the sum of every pair of neighboring digits is odd is 1/126.
What is a fraction?
A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
For a 10-digit number to have the property that the sum of every pair of neighboring digits is odd, the digits must alternate between odd and even numbers.
Specifically, if the firstdigit is odd, then the second digit must be even, the third digit must be odd, the fourth digit must be even, and so on.
If the firstdigit is even, then the second digit must be odd, the third digit must be even, the fourth digit must be odd, and so on.
There are 5 odd digits and 5 even digits, so there are 5 choices for the first digit. After selecting the first digit, there are 5 choices for the second digit (it must be one of the other type), 4 choices for the third digit (it must be the opposite type of the second digit), 4 choices for the fourth digit (it must be the opposite type of the third digit), and so on.
Therefore, the number of 10-digit numbers with distinct digits that have the given property is:
5 x 5 x 4 x 4 x 3 x 3 x 2 x 2 x 1 x 1 = 5! x 4!
where the factorials arise from the number of choices for each digit.
The totalnumber of 10-digit numbers with distinct digits is:
10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 10!
Therefore, the fraction of all the 10-digit numbers with distinct digits that have the given property is:
(5! x 4!) / 10! = (5! x 4!) / (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = 1/126
Thus,
The fraction of all the 10-digit numbers with distinct digits that have the property that the sum of every pair of neighboring digits is odd is 1/126.
Learn more about fractions here:
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Answer:
1/126
Step-by-step explanation:
Answer attached, I hope this is the answer.
the sum of every pair of neighboring digits is odd must be odd number and even number in the neighbor. (different parity)
Answers
13.5
15
14
Answers
Let's use the line on the right side. In the smaller triangle, the length is 4. The same side on the bigger triangle is 12. The ratio of the smaller triangle to the bigger triangle is:
To find a side length for the bigger triangle, all you need to do is multiply by 3. The same side on the smaller triangle is 5. Multiply by 3
That means x = 15
1) y^4
2) y^5
3)y^10
4)y^12
Answers
We want to find the missing number. Let's first think about how exponents are dealt with. If there are two exponents (ex: (z^5)^2) then the exponents multiply to find your new exponent (ex: z^10).
Therefore, we want the power of y to multiply by 2 and equal 20. The answer is 3) y^10.
(y^10)^2 = y^20