Answer:
y = 24
Step-by-step explanation:
The sum of the angles of a triangle is 180
A+B+C = 180
ABC = 60
We know 2x-4 = 60
2x -4+4 = 60+4
2x = 64
x = 64/2 = 32
A = 3x = 3(32) = 962x-4 = 60
B = 60
Using the first equation
96+ 60 +y = 180
156 +y =180
y = 180-156
y = 24
Answer:
C. 2.0 < t < 2.5
Step-by-step explanation:
time = distance / speed
The circumference of the lake is given by ...
C = πd = 2π miles ≈ 6.28 miles
Then Johanna's time is ...
(6.28 mi)/(3 mi/h) ≈ 2.09 h
This time is in the interval (2, 2.5), so matches choice C.
___
<em>Alternate solution</em>
If we take pi to be 3, then this boils down to ...
2×3/3 = 2 . . . hours
Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.
3/4 is greater than 1/2
7/10 is greater than 5/10
and 3/8 is less the 4/8 (4/8=1/2)
To find the median you have to put all the numbers in order from smallest to largest and find the one that's in the middle.
All of the numbers listed are already in order, and the one that lies in the middle is 40. So the answer is 40.
Answer: a) 
b) 
c) 
Step-by-step explanation:
Given : Number of students : 11
Number of faculty members : 13
Total persons : 
Total number of ways to structure a jury of six people from a group of 24 people :-
a) Number of ways of selecting a jury of all students :-
Then , the probability of selecting a jury of all students :-
b) Number of ways of selecting a jury of all faculty :-
Then , the probability of selecting a jury of all students :-
c) Number of ways of selecting a jury of two students and four faculty :-
Then , the probability of selecting a jury of all students :-
