We look for constants <em>a</em> and <em>b</em> such that
Rewrite all terms with a common denominator and set the numerators equal:
Then
<em>a</em> + 2<em>b</em> = 7
-2<em>a</em> - <em>b</em> = -8
Solve for <em>a</em> and <em>b</em>. Using elimination: multiply the first equation by 2 and add it to the second equation:
2 (<em>a</em> + 2<em>b</em>) + (-2<em>a</em> - <em>b</em>) = 2(7) + (-8)
2<em>a</em> + 4<em>b</em> - 2<em>a</em> - <em>b</em> = 14 - 8
3<em>b</em> = 6
<em>b</em> = 2
Then
<em>a</em> + 2(2) = 7 ==> <em>a</em> = 3
and so
2/3 could be one.
3/4 another one.
Or he could have had all the juice in his class (1/1=1)
Answer:
Yes, snow and cold weather are independent.
Step-by-step explanation:
We are given the following in the question:
C: Cold weather
S: Snow
P(C) = 0.50
P(S) =0.30
We have to check whether snow and cold whether are independent events.
If the events A and B are independent then,
Checking,
Thus, the two events are independent.
For mutually exclusive events
Thus, the given events are not mutually exclusive.
Answer:
Blue
Step-by-step explanation:
First, we need to find the LCD (Least common denominator)
Rewriting input as fractions if necessary:
1/10, 1/4, 1/5
For the denominators (10, 4, 5) the least common multiple (LCM) is 20.
Therefore, the least common denominator (LCD) is 20.
Now, we convert:
Red Marbles: 1/10 = 2/20
Blue Marbles: 1/4 = 5/20
Yellow Marbles: 1/5 = 4/20
As we can see, blue has the most. Now we have our answer! Good luck!
100 / 5 = 20
Substitute n with 20, and we get 5 * 20 = 100
So if 5n must be less than 100, then all we know is that n is under 20. But without more information, we can't determine exactly what n is. It could be anywhere between 0 and 19.
