Answer: BD = 5.36 ≈ 5.4
Step-by-step explanation:
length of line AB = length of line BC = 20, line DE ≈ 9.28
Since the length of line AB and line BC are equal, it follows that the length of line BD and line EC are also equal. Therefore, to get the length of line BD will be the difference between the length of lines BC and DE; the result is then divided by 2. The result gives us the length of line BD or line EC because the length of lines BD and EC are equal [BD = EC]
Mathematically,
BD = 
= 
= 
BD = 5.36 ≈ 5.4
Answer:
4.23% probability that at least 9/10 solar-heat installations are successful and will reduce the utility bill.
Step-by-step explanation:
For each installation, there are only two possible outcomes. Either it reduces the utility bill, or it does not. The probabilities for each installation reducing the utility bill are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
Solar-heat installations successfully reduce the utility bill 60% of the time, which means that 
What is the probability that at least 9/10 solar-heat installations are successful and will reduce the utility bill?
This is 
when 
. So
In which
So
4.23% probability that at least 9/10 solar-heat installations are successful and will reduce the utility bill.
Answer:
The acceleration of the car will be 400 m/s².
Step-by-step explanation:
The acceleration of the car can be found using Newton second law:
Where:
F: is the net force = 200 N
m: is the mass = 500 g
a: is the acceleration =?
Then, the acceleration will be:
Therefore, the acceleration of the car will be 400 m/s².
I hope it helps you!
Answer:
32
hope this helps
have a good day :)
Step-by-step explanation:
