Answer:
a) 0.2778
b) 0.3611
c) 0.1389
d) 0.0833
Step-by-step explanation:
We have a total of 5 + 3 + 1 = 9 balls
a) First ball being yellow: we have 5 yellow balls, so P1 = 5/9
Second ball being yellow after one yellow was drawn: we have 4 yellows and 8 balls, so P2 = 4/8 = 1/2
Both yellows: P = P1 * P2 = 5/18 = 0.2778
b) Both blues:
P1 = 3/9 = 1/3
P2 = 2/8 = 1/4
P = P1 * P2 = 1/12 = 0.0833
Both yellows or both blues: 5/18 + 1/12 = 0.2778 + 0.0833 = 0.3611
c) First yellow: P1 = 5/9
Second red: P2 = 1/8
Pa = P1 * P2 = 5/72
or
First red: P3 = 1/9
Second yellow: P4 = 5/8
Pb = P3 * P4 = 5/72
P = Pa + Pb = 10/72 = 5/36 = 0.1389
d) First blue: P1 = 3/9 = 1/3
Second red: P2 = 1/8
Pa = P1 * P2 = 1/24
or
First red: P3 = 1/9
Second blue: P4 = 3/8
Pb = P3 * P4 = 1/24
P = Pa + Pb = 2/24 = 1/12 = 0.0833
We are given that there are a total of 78 students. If we set the following variables:
Then, the sum of all of these must be 78, that is:
Since there are 15 in chemistry and physics and 47 in chemistry, we may replace that into the equation and we get:
Simplifying:
Now we solve for P by subtracting 62 on both sides:
Therefore, there are 16 students in physics
Answer:
1/2
Step-by-step explanation:
-4 3 15 -14
--- *--- * --- *------
5 7 16 9
Rewriting
-4 3 5*3 -7*2
--- *--- * --- *------
5 7 4*4 3*3
Canceling like terms
-1 1 1*1 -1*2
--- *--- * --- *------
1 1 1*4 1*1
This leaves
2
---
4
1/2
Hello!
To solve this, we must solve the equation..
(^4√5³)^(1/2) = 1.82...
It can't be A because 5^6 = 15625
It can't be C because 5^16/3 = 5343.67...
It can't be D because 5^2/3 = 2.92...
It can be B because 5^3/8 also equals 1.82...
So, (^4√5³)^1/2 = 5^3/8.
Hope this helps! ☺♥
-5/3
When a slope is over the x-axis, it will be positive. If it is below the x-axis, it will be negative.
