Answer:
If a and b are two events such that:
b⊂a
Then it is obvious that p(b)≤p(a)
where p denotes the probability of an event.
<em>" Because as one event is contained in the other that means it has possibility to contain more favourable outcomes than the other while the probability of both the events is calculated by taking the total number of outcomes to be equal "</em>
Let us consider an <u>example</u> as:
We roll a die;
so the total outcomes are: {1,2,3,4,5,6}.
Now let b denotes the event that the number is an even number less than 5.
Number of favourable outcomes( {2,4} )=2
p(b)= 2/6
let a denotes that the number is less than 5.
Then Number of favourable outcomes( {1,2,3,4} )=4
p(a)=4/6
clearly b⊂a
also we could see that p(b)<p(a)
Answer:
Rachelle can walk 3.75 miles in am hour.
Answer:
heck ya
Step-by-step explanation:
The first leg of the graph represents Manuel riding his bike for 3 units of time going 5 units distance gradually increasing his speed. The second line segment represents Manuel staying where he his for 4 1/2 units of time. The third represents Manuel going a fast speed back to where he started. I think.
Or the first is him going that distance picking up speed, the second him going a constant speed, and the third him slowing down/speeding up.
Answer:
Joe is 14.
Martha is 28.
Step-by-step explanation:
Use the variables and information from the question to make equations.
If Joe's age is half Martha's:
(1/2)m = j OR 2j = m
If their ages combined is 42:
m + j = 42
We can substitute the equation m=2j into equation m + j = 42, replacing "m".
m + j = 42 Substitute m for 2j
2j + j = 42 Combine like terms, terms with same varables
3j = 42 Divide both sides by 3 to isolate j
j = 14 Joe's age
Since j = 14, we can substitute it into equation m=2j to find "m".
m = 2j Substitute j for 14
m = 2(14) Simplify
m = 28 Martha's age
Therefore Joe is 14 and Martha is 28.
