Answer: Hello!
Let's start with the word TRISKAIDEKAPHOBIA wich has 17 letters (some of them repeat, but it does not matter in this problem)
We want to know how many permutations we can do with 17 letters: then think this way, Lets compose a word. The first letter of this word has 17 options, the second letter of the word has 16 options (you already took one of the set) the third letter of the word has 15 options, and so on.
The total number of permutations is the product of the number of options that you have for each letter, this is:
17*16*15*14*....*3*2*1 = 17! = 3.6e+14
(b) FLOCCINAUCINIHILIPILIFICATION now we have 30 letters in total, using the same reasoning as before, here we have 30! permutations; this is
30! = 2.65e+32
(c) PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS: now there are 47 letters.
then P = 47! = 2.59e+59
(d) DERMATOGLYPHICS: here are 18 letters, then:
p = 18! = 6.4e+15
Answers:
0.45 is a moderate association
0.95 and -0.8 are both strong association
0.10 is weak association
Explanation:
This is the interpreation of the correltaion coefficient:
1) The correlaion coefficient assesses the relationship between two variables in a scatter plot.
2) If the sign of the correlation coefficient is positive means that the two variables trend to grow or decrease in the same sense. This is an uphill line or curve: if variable X grows, variable Y grows, and if variable X decreases variable Y grows.
If the sign of the correlation coefficient is negative means that the two variables go in opposite direction. This is a downhill line or curve.
3) A correlation coefficient of +1 or -1 is a perfect association. The two variables are totally associated.
4) A correlation coefficient less that +1 but greater than 0.7 is a strong association. The same with a coefficite between - 0.7 and -1.
5) A correlation coefficient arroun +0.5 or -0.5 is a moderate association.
6) A correlation coefficient of 0 is a nill association.
7) A correlation coeffiicient between 0 and 0.3 is a weak association. The same when the correlation coefficient is between -3 and 0.
The distributive property....u r basically multiplying the number outside of the parenthesis by everything inside the parenthesis...this gets rid of the parenthesis.
3(-4x + 8)...distribute the 3 thru the parenthesis
(3 * -4x) + (3 * 8) ...take that 3 and multiply it by every number in the parenthesis..to get rid of the parenthesis
-12x + 24 <===
4(x - 6y) =
(4 * x) - (4 * 6y) =
4x - 24y <===
6(5 - q) =
(6 * 5) - (6 * q) =
30 - 6q <===
1/2(c - 8) =
(1/2 * c) - (1/2 * 8) =
1/2c - 4 <===
-3(5 - b) =
(-3 * 5) - (-3 * b) =
-15 - (-3b) =
-15 + 3b <===
(d + 2)(-7)....re-arrange
-7(d + 2) =
(-7 * d) + (-7 * 2) =
-7d + (-14) =
-7d - 14 <===
Answer:
28.8
Step-by-step explanation:
0.8 yards = 28.8 inches
