Answer:
The second expression is not equivalent to the initial expression.
Step-by-step explanation:
Given: .
Clubbing the co-efficient of g and constant terms. we get:
This is the first step and is equivalent to the initial expression.
Now, Simplifying the above expression we have:
⇒
⇒
⇒
⇒
This is not the second step done by him. Not equivalent to the initial step.
Answer:
37.5
Step-by-step explanation:
KM^2=LM*MJ(consequence from the similarity of KLM and JLK )
=>36=LM*8
LM=36/8=4.5
=>S=6/2*(8+4.5)=3*12.5=37.5
Answer:
0.833%
Step-by-step explanation:
10%
it will be 10%/12
12 for a year
10%/12=0.833 repeatedly
the annual interest rate 10% is approximate monthly interest rate of 0.833%
Answer:
I believe the answer is D
Step-by-step explanation:
I'm not 100% sure though
Answer:
The probability is 0.8704
Step-by-step explanation:
A Binomial distribution apply when we have n identical and independent events with two possible results, success or fail, and a probability p of success and 1-p of fail. Then, the probability that from the n events, x are success is:
Then, the number of motorist driving more than 5 miles per hour over the speed limit follow a Binomial Distributions, because we have 4 randomly selected motorists with two possible options: they are driving more than 5 miles per hour over the speed limit or they aren't, and the probability that they are driving more that 5 miles per hour over the speed is 0.4.
Finally, the probability P that among 4 randomly selected motorists, the officer will find at least 1 motorist driving more than 5 miles per hour over the speed limit is:
P = P(1) + P(2) + P(3) + P(4)
Where n is equal to 4 and p is equal to 0.4. Replacing the values for every x, we get:
Finally, P is equal to:
P = 0.3456 + 0.3456 + 0.1536 + 0.0256
P = 0.8704