Answer:
if two angles are supplementary angles, then the sum of their angle measures is equal to 180°.
Step-by-step explanation:
the if p statement is called the hypothesis of the conditional statement.
the then q statement of the conditional statement is called the conclusion.
Answer: 30 pounds of coffee beans worth $10.50 per pound was used.
20 pounds of coffee beans worth $13.00 per pound was used.
Step-by-step explanation:
Let x represent the number of coffee beans worth $10.50 per pound that should be mixed.
Let y represent the number of coffee beans worth $13.00 per pound that should be mixed.
50 pounds of beans worth $11.50 per pound is to be made. The total cost of the mixture would be
50 × 11.5 = 575
This means that
10.5x + 13y = 575 - - - - - - - 1
The total number of pounds of each type of coffee used is 50. This means that
x + y = 50
Substituting x = 50 - y into equation 1, it becomes.
10.5(50 - y) + 13y = 575
525 - 10.5y + 13y = 575
- 10.5y + 13y = 575 - 525
2.5y = 50
y = 50/2.5 = 20
x = 50 - 20= 30
Divide the total amount of money Janice has by the cost of the stamps.
$7.20 / $0.30 = 24
Janice can buy 24 stamps.
Answer:
$3.60
Step-by-step explanation:
we can use conversion factors for this
we can multiply anything by 1, or fractions that equal 1
now 4quarts/1 gal = 1
we can multiply 2gal * 4 quarts/ 1 gal = 8 quarts
28.8/8 = $3.60
Complete question:
Calculate each probability given that P(A) = 0.2, P(B) = 0.8, and A & B are independent.
a) compute P(A and B)
b) If P(A|B) = 0.7, compute P(A and B).
Answer:
(a) P(A and B) = 0.16
(b) P(A and B) = 0.56
Step-by-step explanation:
Two events are independent if occurrence of one event does not affect possibility of occurrence of another.
(a) if A and B are independent, then P(A and B) = P(A) x P(B)
= 0.2 x 0.8
= 0.16
(b) If P(A|B) = 0.7, compute P(A and B)
Considering the notations of independent events,
= 0.7 x 0.8
= 0.56
