Answer:
Classification of rhombus
Step-by-step explanation:
- The opposite angles of a rhombus are equal.
- each diagonal bisect the vertical angles.
- the diagonals are not equal and bisect each other perpendicularly.
- the triangles formed by the diagonals are congruent.
- the area of a rhombus=1/2d1×d2
To determine the probability, the formula is by number of successful outcomes divided by number of possible outcomes. The number of possible outcomes in this problem is 4.
So to compute the probability distribution:
The number of times that 0 G appeared is 0.25 which is represented by BB which is 1/4.
The number of times that 1 G appeared is .5 which is represented by BG and GB which is 2/4.
The number of times that 2 G appeared is .25 which is represented by GG which is 1/4.
The probability distribution will look like this:
X Px(x)
0 .25
1 .5
2 .25
If you observe the two given equations, the left hand side of both equation is the same and is equal to y.
Since the left hand side of two equations is the same, we can conclude that the right hand side of two equations must also be the same.
So, setting them right hand sides of both equations equal to each other and solving for x, we can find the solution to the simultaneous equations.
Therefore, the correct answer is option B
The common difference is d = 4 because we add 4 to each term to get the next one.
The starting term is a1 = 3
The nth term of this arithmetic sequence is
an = a1 + d(n-1)
an = 3 + 4(n-1)
an = 3 + 4n-4
an = 4n - 1
Plug in n = 25 to find the 25th term
an = 4n - 1
a25 = 4*25 - 1
a25 = 100 - 1
a25 = 99
So we're summing the series : 3+7+11+15+...+99
We could write out all the terms and add them all up. That's a lot more work than needed though. Luckily we have a handy formula to make things a lot better
The sum of the first n terms is Sn. The formula for Sn is
Sn = n*(a1+an)/2
Plug in n = 25 to get
Sn = n*(a1+an)/2
S25 = 25*(a1+a25)/2
Then plug in a1 = 3 and a25 = 99. Then compute to simplify
S25 = 25*(a1+a25)/2
S25 = 25*(3+99)/2
S25 = 25*(102)/2
S25 = 2550/2
S25 = 1275
The final answer is 1275
