Answer:
Circumference of Circle B=19.625cm
Step-by-step explanation:
The circumference formula is: 2pie(r) = pie(d)
We have diameter of the first circle which is 6. Now, because the diameter of second circle is 25% greater than this,
Hence, we add 25% in 6:
6+25/100 =6+0.25=6.25 cm
Therefore, we have diameter of 6.25 for circle B.
Now, we need to find the circumference of the Circle A.
circumference= pie(d) = pie(6)= 3.14times6= 18.84
Now use the proportional reasoning to find Circumference of Circle B:
circumference of Circle A/diameter Circle A = circumference of Circle B/diameter Circle B
18.84/6=circumference of Circle B/6.25
Cross multiply and divide:
(18.84times6.25)/6 = Circumference of Circle B
Solve:
Circumference of Circle B=19.625cm
Hope this helps!
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Answer:
See attached image for the drawing of the first four trees (circled in green)
The patterns is:
x = 2+3n and y= 3+2n
Position of 7th tree is: (20,15) (circled in orange in the image)
Step-by-step explanation:
Starting at the location (2,3) the next x and y positions are given by:
x = 2+3n since the horizontal position needs to be increased by 3 units on each iteration,
and y= 3+2n since the vertical position needs to be increased by 2 units on each iteration
being n= 1 through 6 (to account for the next 6 trees that need to be planted)
With such pattern, the location of the seventh tree would be:
x = 2 + 3*6 =2 + 18 = 20
y = 3 + 2*6 = 3 + 12 = 15
That is, the point (20,15) on the plane.
Also see attached image.
Hj and jk are the same length line segments ( because the midpoint divides a line into two equal parts)
So hj = jk.
hk is the line segment which has the mid point j. It is the double of hj or jk. It can be the sum of hj and jk.
hj + jk = hk
or
2 * hj = hk
or
2 * jk = hk
Explanation:
Lets interpret Z with M trials. First we have M trials, each trial can be a success or not. The number of success is called N. Each trial that is a success becomes a trial, and if it is a success it becomes a success for Z. Thus, in order for a trial to be successful, it needs first to be successful for the random variable N (and it is with probability q), and given that, it should be a success among the N trials of the original definition of Z (with probability p).
This gives us that each trial has probability pq of being successful. Note that this probability is pq independently of the results of the other trials, because the results of the trials of both N and the original definition of Z are independent. This shows us that Z is the total amount of success within M independent trials of an experiment with pq probability of success in each one. Therefore, Z has Binomial distribution with parameters pq and M.
Answer:
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