Answer:
60.65
Step-by-step explanation:
The Law of Cosines can help you figure this out. Call the given sides "a" and "b" and the given angle "C". Then the third side, "c" will satisfy the relation ...
c² = a² + b² -2ab·cos(C)
= 33² +37² -2·33·37·cos(120°) = 3679
c = √3679 ≈ 60.65476 ≈ 60.65
The length of the third side is about 60.65 units.
Quartile 1 is 211. quartile 2 is 226 , and quartile 3 is 265.5
Answer:
Number of student tickets were sold = 409
Step-by-step explanation:
Total number of tickets sold = 771
I.e Students ticket (S) + Non students ticket(N S) = 771
Total amount to be paid for tickets = $ 3037
Amount paid by students per tickets = $3
Amount paid by non-students per tickets = $5
So, according to question
S + NS = 771
3 S + 5 NS = 3037
Solve both equations
5 S + 5 NS = 771 × 5
3 S + 5 NS = 3037
so ,
(5 S + 5 NS) - (3 S + 5 NS ) = 3855 - 3037
Or, 2 S = 818
I.e S =
= 409
Hence, The number of student tickets were sold = 409 Answer
Answer:
v
x
5
−
2
v
x
4
−
8
x
4
+
3
v
x
3
+
24
x
3
−
4
v
x
2
−
40
x
2
+
v
x
+
56
x
+
8
x
−
40
v
x
5
-
2
v
x
4
-
8
x
4
+
3
v
x
3
+
24
x
3
-
4
v
x
2
-
40
x
2
+
v
x
+
56
x
+
8
x
-
40
Step-by-step explanation:
Answer:

Step-by-step explanation:
GIVEN: Suppose that in a certain county
of voters are registered as Democrats,
as Republicans,
as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.
TO FIND: Probability that the first call will be to either a Democrat or a Republican.
SOLUTION:
Lets total population of county be
.
voters registered as Democrats 
voters registered as Republicans 
voters registered as Green party 

Probability that first call will be to Democrats

Probability that first call will be to Republican

probability that the first call will be to either a Democrat or a Republican



Hence the probability that the first call will be to either a Democrat or a Republican is 