Answer:
A and B are independent events if P(A ∩ B) = 0.06
Step-by-step explanation:
Two events A and B are independent if the probability of occurrence of A does not influence the occurrence of B.
Mathematically it is written that A and B are independent events if and only if:
P(A ∩ B) = P(A)P(B)
We know that:
P(A) = 0.20
P(B) = 0.30
Then A and B are independent if:
P(A ∩ B) = (0.20)(0.30)
P(A ∩ B) = 0.06
Finally A and B are independent events if P(A ∩ B) = 0.06
Answer:
Z = 2.76
Step-by-step explanation:
Firstly you must realise that Z - 2.3 = 0.46
Therfore this means you must 2.3 to 0.46 to get Z
2.3+0.46+2.76
The sandwich cost 2.25 meaning that that would be our slope since the price can go higher with every sandwich you buy.. and it will be negative because you will be taking away that sum to your five dollars.. so we have y=-2.25 +5 it has plus five because it is how much you had in the first place.. so lets test it, lets say you buy 2 sandwiches. you will put 2 in for x and solve it.. -2.25(2) +5 multiply -4.5+5 and you get .5 this lets you see first how much you will spend and what will be left out
Hope i helped
Answer:
-The answer for the radius:

Step-by-step explanation:
-The equation of a circle is:
(where the center is known as
, the point is
and the radius known as
).
-Use both the center (-2,-1) and the point (-7,-7) for the equation:

-Then, solve the equation to get the radius:






So, therefore the radius is
.
Answer:
1. 700 calories
2. 3 servings
3. c = 350s
Step-by-step explanation:
1. 5 servings = 1,750 calories
divide by 5 on both sides
1 serving = 350 calories
multiply both sides by 2
2 servings = 700 calories
2. 1 serving = 350 calories
1050 calories = 350 calories X 3
3 servings = 1,050 calories
3. 1 serving = 350 calories
# of calories = 350 per serving
c = 350s