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
Answer:
Theta=60
Step-by-step explanation:
Lets start to get the value of x in ![sin(x)=\frac{1}{2}](https://tex.z-dn.net/?f=sin%28x%29%3D%5Cfrac%7B1%7D%7B2%7D)
Just do the opposite which is ![sin^{-1}(\frac{1}{2}) = 30](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%28%5Cfrac%7B1%7D%7B2%7D%29%20%3D%2030)
So ![sin(30)=\frac{1}{2}](https://tex.z-dn.net/?f=sin%2830%29%3D%5Cfrac%7B1%7D%7B2%7D)
Still we got only the value of x not theta then
The value of x = theta/2
Theta/2=30 multiply each side by 2
Theta = 60
Answer:
Step-by-step explanation:
Since C=2(3.14)r and D=2r
C=3.14D
C/D=3.14
Answer:
C
Step-by-step explanation:
.
Answer:
x-4 and x+8
Step-by-step explanation:
Factoring a quadratic equation of the form x^2+bx+c:
Divide b into two numbers p and q, so that p+q = b and p*q = c
8 + (-4) = 4 = b
8 * (-4) = -32 = c
x^2+8x-4x-32
Factor by grouping
(x^2+8x)+ (-4x-32) =
x*(x+8) + -4* (x+8) = (x-4)(x+8)