Answer:
Probability both are hopelessly romantic = 0.0169
Probability at least one is hopelessly romantic = 0.2431
Step-by-step explanation:
We are given that about 1313% of the population of a large country is hopelessly romantic.
Also, given two people are randomly selected.
Firstly, Let <em>Probability that the population of a large country is hopelessly romantic = P(R) = 0.13 </em>
(a) Probability both are hopelessly romantic is given by = Probability that first person is hopelessly romantic 
Probability that second person is hopelessly romantic
= 
= 0.13 0.13 = <u>0.0169</u>
(b) Now, Probability that the population of a large country is not hopelessly romantic = P(R') = 1 - P(R) = 1 - 0.13 = 0.87.
So, Probability at least one is hopelessly romantic is given by = 1 - Probability that none of them is hopelessly romantic
= 
= 1 - (0.87 0.87)
= 1 - 0.7569 = <u>0.2431</u>
Answer: 6 sandwiches
Step-by-step explanation:
To get the amount of roast beef that Marissa used you would have to subtract 2 3/4 from 5...which is 2.25 pounds of beef that she used.
Then you would divide 2.25 by 3/8 which is 6... meaning Marisa made 6 sandwiches!
C r = (n!)/(r!(n-r)!)
9 C 3 = (9!)/(3!*(9-3)!)
9 C 3 = (9!)/(3!*6!)
9 C 3 = (9*8*7*6!)/(3!*6!)
9 C 3 = (9*8*7)/(3!)
9 C 3 = (9*8*7)/(3*2*1)
9 C 3 = (504)/(6) 9 C 3 = 84
Answer: 8
Step-by-step explanation:
2x4
Answer:
$3
Step-by-step explanation:
The money shared by Ben and Carol was split ...
... Ben : Carol = 1 : 3
The difference of these ratio numbers is 2, and the difference in amount received is $6. Thus, each ratio unit must stand for $6/2 = $3.
... Ben received 1×$3 = $3
_____
<em>The Rest of the Story</em>
Carol received 3×$3 = $9. Together, Ben and Carol received $3 + 9 = $12, which is 4/5 of the total amount. Then the 1/5 of the total amount that Alice received is
... (1/5)×$12/(4/5) = (1/4)×$12 = $3.
The $15 of money was split ...
... Alice : Ben : Carol = $3 : $3 : $9
