There are infinite equivalent expressions. Here are some:
1/5(m-100)
20(1/100m-1)
1/5m-(4•5)
If you expand any of these or any of the terms, you will get an equivalent expression.
Answer:
Step-by-step explanation:
The value of the function f(x) at x=a can be determined by substituting a instead of x into the function expression.
1. When x=-1, then
f(-1)=2\cdot (-1)^3-3\cdot (-1)^2+7=-2-3+7=2.
2. When x=1, then
f(1)=2\cdot 1^3-3\cdot 1^2+7=2-3+7=6.
3. When x=2, then
f(-1)=2\cdot 2^3-3\cdot 2^2+7=16-12+7=11.
Not sure is this is right but if the chemist wants to make the solution 35% acidic then he can use all of the 30% acid and 5% of the 45% acid.
Answer:
We can find the individual probabilities:
And replacing we got:
![P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%205%29%20%3D%201-%5B0.00114%2B0.009282%2B0.0358%2B0.0869%2B0.149%5D%3D%200.7178)
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:

And we can use the complement rule:
We can find the individual probabilities:
And replacing we got:
![P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%205%29%20%3D%201-%5B0.00114%2B0.009282%2B0.0358%2B0.0869%2B0.149%5D%3D%200.7178)
Scale = 1cm:3km
Therefore area of lake = 81Km
1:3 = x:81
= 27:81
Therefore the area on map is 27cm
Must click thanks and mark brainliest