The first one is 4/9 lol but everything is super hard to read
This is the concept of probability, we are required to calculate for the probability of rolling a 4 with a single die four times in a row;
To solve this we proceed as follows;
The probability space of a die is x={1,2,3,4,5,6}
The probability of a die falling on any of this number is:
P(x)=1/6
Thus the probability of rolling a 4 with a single die four times which makes up mutually exclusive events will be:
1/6*1/6*1/6*1/6
=(1/6)^4
=1/1296
The answer is B] 1/1296
A) There was no change in the number of students on honor roll from one year to the next. This is noticeable because 200/1000 = .2 just as 20%/100% = .2 or 20/100 = .2. So there never was a change!
Answer ↣ 12 gallons per minute
Step-by-step explanation ↣ Ok I'm gonna use ratios because I can't draw a graph here.
Ok so if the garden hose supplies 36 gallons of water in 3 minutes, then the ratio is 36:3 because every 3 minutes the garden hose "sprays" 36 gallons.
To simplify this ratio, you need find the amount of water the garden hose supplies in 1 minute.
Well to get from 3 to 1, you have to divide by 3.
Do the same thing to 36. 36/3 equals 12.
So the final ratio is 12:1
This is the unit rate. The unit rate is when one variable is 1 unit (most of the time it is speed).
You can multiply 1 by any number and multiply 12 by the same number.
Here are some ratios...
m=minutes
g=gallons
1m:12g
2m:24g
3m:36g
4m:48g
5m:60g
Hope this helped!
BTW why do I sound like this I'm not a aesthetic person-