Answer:
DC=30
CM=15
Step-by-step explanation:
Given
Triangle DEF with C centroid
DM=45 (length of median)
centroid divides median in the ratio 2:1(larger side at vertex)
⇒
DC
⇒DC=30
DC+ CM=DM
30+CM=45
⇒CM=15
the apple tree is 20 and the oak tree is 40
hopes this helps,
Xeno
Answer:
8units
Step-by-step explanation:
Using the binomial distribution, it is found that there is a 0.25 = 25% probability he will land on A on the first spin and A and the second.
For each spin, there are only two possible outcomes, either it lands on Sector A, or it does not. The results of each spin are independent, hence, the binomial distribution is used to solve this question.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, we have that:
- The sectors are equal, which means that it is equally as likely to land on each, hence
.
- Saul will spin the wheel twice, hence
.
The probability that both land on A is P(X = 2), hence:


0.25 = 25% probability he will land on A on the first spin and A and the second.
You can learn more about the binomial distribution at brainly.com/question/24863377
Answer:
Distance = 10 km
Step-by-step explanation:
Let x be the number of hours taken from school to town and y be the number of hours taken back to the school
Then distance covered during first trip would be 10x (distance = speed*time) and during the second trip would be 8y. Both distances are equal.
=> 10x = 8y
Dividing both sides by 2
=> 5x = 4y
=> 5x-4y = 0 ------------------(1)
<u><em>The total time for both the trips is:</em></u>
=> x + y = 2.25 -------------------(2)
Multiplying eq (2) by 5
=> 5x+5y = 11.25 ---------------(3)
Subtacting (3) from (1)
=> 5x-4y-5x-5y = 0-11.25
=> -4y-5y = -11.25
=> -9y = -11.25
Dividing both sides by -9
=> y = 1.25 hrs
Putting in (2)
=> x + 1.25 = 2.25
=> x = 2.25 - 1.25
=> x = 1 hr
<u><em>Now, Calculating the Distance</em></u>
=> Distance = 10x
=> 10 ( 1 )
=> Distance = 10 km