Answer:
Flour 5, 10, 15, 20
Sugar 4, 8, 12, 16
Step-by-step explanation:
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>
Answer:
see explanation
Step-by-step explanation:
The translation rule
(x, y ) → (x + 3, y - 2 )
Means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus
A(- 4, 1 ) → A'(- 4 + 3, 1 - 2 ) → A'(- 1, - 1 )
B(1, 1 ) → B'(1 + 3, 1 - 2 ) → B'(4, - 1 )
C(1, - 2 ) → C'(1 + 3, - 2 - 2 ) → C'(4, - 4 )
D(- 4, - 2 ) → D'(- 4 + 3, - 2 - 2 ) → D'(- 1, - 4 )
Answer:
The hole is at (5,7)
Step-by-step explanation:
x^2 − 3x − 10
-------------------
x−5
Factor the numerator
(x-5)(x+2)
-------------------
x−5
There is a hole at x=5 since it will cancel in the numerator and the denominator
f(x) = x+2 and letting x = 5
f(5) = 5+2
The hole is at (5,7)
Answer:
48.6
Step-by-step explanation: