Answer:
0.333
Step-by-step explanation:
The first sequence starts at 1 and has a common difference of 2. It will include every odd number in the range.
__
The second sequence starts at 1 and has a common difference of 3. It will include odd numbers and the even numbers 4, 10, 16, .... That is, all even numbers of the form 6n -2 will be included. The last one corresponds to the largest value of n such that ...
6n -2 ≤ 1000
6n ≤ 1002
n ≤ 167
That is, 167 even numbers will also be excluded.
__
The third sequence starts at 1 and has a common difference of 4. Every number in this sequence is also a number in the first sequence.
__
So the numbers in these sequences include all 500 odd numbers and 167 even numbers, for a total of 667 numbers. The probability that a randomly chosen number is not in one of these sequences is ...
(1000 -667)/(1000) = 333/1000 = 0.333 . . . . p(not a sequence term)
Answer:
C. - 132x + 43y
Step-by-step explanation:
10x + 41y - 142x + 2y
Rearrange and put like terms together.
10x - 142x + 41y + 2y
= 10x - 142x
= - 132x
= 41y + 2y
= 43y
Now put all values together.
-132x + 43y
Actual area = 42ft²
The actual area will simply be calculated as:
= 6 × 7
= 42 feet²
Answer:
8.25475 m
Step-by-step explanation:
pi*r^3 is the formula for a sphere.
Using this, pi is a nmber (about 3.14) and we only don't know the radius, but we know what it equals.
pi*r^3=1,767.1
First divide by pi, then get ride of the cube by cube rooting both sides.
The cube root of 1767.1/pi (remember to cube root both denominator and numberator!!!) is about 8.25475 m
In order to find who has read more pages, let's find the number of pages read by each one.
The number of pages read by Clancey is:
The number of pages read by Ethan is:
So Ethan read more pages.
The combined number of pages in both books is 240 + 170 = 410.
The combined number of pages read is 60 + 68 = 128
So the fraction is:
