We are given two sides of a triangle that are 2 and 5 and the angle between them is pi/3 or 60 degrees. In this case, we can use the cosine law to relate the given dimensions and angle. The cosine rule goes c2 = a2 + b2 - 2abcos C; Substituting, c2 = 4 + 25 - 2*2*5*cos pi/3 ; c2 = 19; c = sqrt 19 = 4.36 units.
Answer:
-7, -2, 4, 5
Step-by-step explanation:
Integers with a dash in the front of them signify a negative. With negative numbers, the higher the value of the accompanying number, the lower value it has as a negative number, so, of course the negative integers would go from the "least" end of the spectrum. Because 7 has a higher positive value than 2, it has a lower negative value, putting -7 on the lower end, following it with the -2. As 5 has a higher positive value than 4, 5 is put on the highest end on the spectrum, with 4 right behind it. With all of these integers settled, we can organize the numbers in the order of -7, then -2, then 4, then 5.
To answer the question we need to know if we replaced or not.
Lets calculate the 2 probabilities.
1, No replacement
first draw is an ace P=4/52
2nd draw is an ace P=3/51
Both are A: P=4/52 * 3/51 = 0,0045
2, With replacement
Both draws P=4/52
Both A: P =(4/52)^2 = 0,0059
So we know that it was with replacement.
This means theat the two events are independent. (both draws have 4/52 chance, not affecting eachother)
