Answer:
x = 4
Explanation:
For the right hand side:
log base 9 of 8 + log base 9 of (x-2) = log base 9 (8*(x-2))
= log base 9 of (8x-16)
For the left hand side:
2*log base 9 of x = log base 9 of x^2
Now, equating the two sides and solving for x:
log base 9 of (8x-16) = log base 9 of x^2
This means that:
x^2 = 8x - 16
x^2 - 8x + 16 = 0
(x-4)^2 = 0
Therefore:
x = 4
Hope this helps :)
Answer:
Step-by-step explanation:
Given
i.e. 10 people
Required
Probability of being next to each other
First, we calculate the total possible arrangements (without any restriction)
If the three are to be next to each other,
First, we arrange the three
Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)
The arrangement is:
So, the total arrangement, when they have to be next to one another is:
The probability is:
Expand
Express as percentage
Answer:
Ok. So we have 12 different styles of watches to choose from, so that means that the total number of combinations of styles for 5 boys is 12*12*12*12*12, since each boy has his pick of 12 options.
The way to answer this question is by way of the complementary rule: We want the number of ways that the boys can all have different styles. So the first boy to pick has 12 options available to him, the second boy has 11 options available to him, the 3rd boy has 10 options available to him, so on and so forth.
So the probability that the boys all have different watches is (12*11*10*9*8)/12^5= .3819.
To find the probability that at least two boys have the same style would just be 1 -.3819 = 6181
Answer: -25 degrees
Step-by-step explanation:
11. It means below zero on whichever scale is in use or generally understood— centigrade, Delisle, or what have you. It would mean the same as freezing in scales where the freezing point of water is set at zero, such as Celsius or Réaumur, but not in scales where zero is set to something else, as in Leiden or Rømer
