Answer:
0.999
Step-by-step explanation:
Since there are 729 possible combinations, the probablity of not getting it right is 728/729 which is 0.99862825
… and if you round that, it would be 0.999.
Answer:
Answers are given below.
Step-by-step explanation:
a) one-to-one correspondence between the set of positiveintegers and that set.
Whenever we have one to one correspondence with positive integers, the set is countable and here infinite.
b) integers divisible by 5 and not 7
..This set is all integers divisible by 5 but not by 7. This is a discrete set and hence countable and infinite.
c) the real numbers with decimal representationsconsisting of all 1’s
-- This cannot be counted and hence uncountable but infinite.
d) the real numbers with decimal representationsconsisting of all 1’s or 9’s
-- This is also uncountable but infinite.
Answer:
X = X is <u>Commutative Property of Multiplication</u>.
Answer:
-1,512,390
Step-by-step explanation:
Given
a1 = 15

Let us generate the first three terms of the sequence

For 

Hence the first three terms ae 15, 8, 1...
This sequence forms an arithmetic progression with;
first term a = 15
common difference d = 8 - 15 = - -8 = -7
n is the number of terms = 660 (since we are looking for the sum of the first 660 terms)
Using the formula;
![S_n = \frac{n}{2}[2a + (n-1)d]\\](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%5B2a%20%2B%20%28n-1%29d%5D%5C%5C)
Substitute the given values;
![S_{660} = \frac{660}{2}[2(15) + (660-1)(-7)]\\S_{660} = 330[30 + (659)(-7)]\\S_{660} = 330[30 -4613]\\S_{660} = 330[-4583]\\S_{660} = -1,512,390](https://tex.z-dn.net/?f=S_%7B660%7D%20%3D%20%5Cfrac%7B660%7D%7B2%7D%5B2%2815%29%20%2B%20%28660-1%29%28-7%29%5D%5C%5CS_%7B660%7D%20%3D%20330%5B30%20%2B%20%28659%29%28-7%29%5D%5C%5CS_%7B660%7D%20%3D%20330%5B30%20-4613%5D%5C%5CS_%7B660%7D%20%3D%20330%5B-4583%5D%5C%5CS_%7B660%7D%20%3D%20-1%2C512%2C390)
Hence the sum of the first 660 terms of the sequence is -1,512,390
Answer:
25+40
Step-by-step explanation:
for the area of a triangle you multiple the base times the height. for the area of the square it is the length times width.
NOTE: to completely answer just add 25+40