1. Given that e<span>vents A and B are dependent, P(A)=20%, P(BIA)=25%. What is P(A and B)?
P(BIA)=[P(A and B)]/P(A)
it follows then that:
P(A and B)=P(A)*P(BIA)
P(A)=0.2
P(BIA)=0.25
hence
P(A and B)=0.2*0.25=0.05=5%
2. Given that </span><span> P(A) =12%, P(B)=48% and P(A or B)=50%. What is P(A and B)?
P(A or B)=P(A)+P(B)-P(A and B)
but
P(A)=12%, P(B)=48%, P(A and B)=50%
thus
P(A or B)=12%+48%-50%
simplifying the above we obtain:
P(A or B)=60%-50%=10%
</span>
(xy(2zx18+2zx yz^2))^3=
(xy(36z+2yz^3))^3=
(36xyz+2z^3y^2x)^3=
(36xyz)^3+3(36xyz)^2(2z^3y^2x)+3(36xyz)(2z^3y^2x)^2+ (2z^3y^2x)^3
=46656x^3y^3z^3+3888(2z^5y^4x^3)+108 (4z^73y^5x^3)+8z^9y^6x^3
Step-by-step explanation:
the inverse function simply calculate the original x it of a given y. so, we need to transform the original function to calculate x instead of y.
and then, at the end to make it a formally correct function definition, we rename x to y and y to x.
y = x + 3
x = y - 3
=> to make it a formally correct function definition
y = x - 3 = h(x)
Answer:
89.62
Step-by-step explanation:
Look at the 3rd place of decimals - this is 6 so we add one to the second place.
Answer:
She will do 61 sit ups.
Step-by-step explanation:
The number of situps are increasing by 4 each day.
So at this rate...
Day 6: 37
Day 7: 41
Day 8: 45
Day 9: 49
Day 10: 53
Day 11: 57
Day 12: 61