<h2>
Hello!</h2><h2>
Let me help you.</h2>
As I understand, you need to write an equation that relates 
. This problem will be solved using equations. The problem states:
<em>Nick bought t candies and divided them equally between his y friends and me. Each of us got 7 candies.</em>
<em />
From this statement, we know that:
t: Number of candies Nick bought.
y: Number of friends.
Since I am included in this problem, the number of people involved here can be expressed as:
Since each of us got 7 candies, then it is true that:
<em>So t (number of candies) is a function of y(number of friends).</em>
Define i as a unit vector in the eastern direction.
Define j as a unit vector in the northern direction.
Part I
Because the wind is blowing west, its velocity vector is
-23i mph or as (-23, 0) mph
Because the plane is traveling north, its velocity vector is
200j mph or as (0, 200) mph
Part II
The actual velocity of the plane is the vector sum of the plane and wind velocities.
That is,
200j - 23i or (-23, 200) mph
Part III
The ground speed of the plane is the magnitude of its vector.
The ground speed is
√[200² + (-23)²] = 201.32 mph
The ground speed of the plane is 201.3 mph (nearest tenth)
Not:
The direction of the plane is
tan⁻¹ 23/200 = 6.56° west of north.
Answer:
3. is 3 (m - 16)(m + 4)
7. is also 3. (2x + 5)(3x - 5)
12. is 4 (x - 6)(x - 4)
the last one is i dont know
Your answer will be A because you have to get the sum of 4 and 8 and then divide by 2. Which is 6 for the x coordinate. The you need to take the sum of -5 and -1 and then divide by 2. Which is -3 for the y coordinate. So the answer is (6,-3).
Answer:
The likelihood that the professor's socks matched his pants on both days is 0.5625
Step-by-step explanation:
Total no. of pair of socks = 24
No. of black pairs = 18
We are given that he selects one pair of socks on Monday and one on Tuesday. Since he has lots of clean socks in the drawer he does not do laundry.
So, It is a case of replacement
He always wears black pants.
We are supposed to find he likelihood that the professor's socks matched his pants on both days i.e. Black socks both days.
So ,Probability of wearing black socks on Monday = 
So ,Probability of wearing black socks on Tuesday =
So,the likelihood that the professor's socks matched his pants on both days = 
Hence the likelihood that the professor's socks matched his pants on both days is 0.5625
