Hello from MrBillDoesMath!
The first choice (y = 2x) is NOT the blue line because it has twice of the slope of the line y=x. That is, for a given positive x value the graph of y= 2x appears above the black line which is not the case for the blue line shown.
The second choice (y =.001x) is a possibility but the multiplier .001 is so small I think the graph of that line would be "close" to the x-axis. I don't think it's the blue line.
y = -x. Now here we can say NO! That line goes through the origin all right but has a slope of -1 so is heading "downward" from left to right. That is not the blue line either.
Well, then, it seems that the last equation ( y = 1/2x) is the only remaining reasonable answer.
Regards, MrB.
Answer:
2(2x) - 2(9)
Step-by-step explanation:
this equation could've been distributed many different ways but this is the easiest way I can think of to undistribute this problem. I have never heard of undistributeing a problem either so that must be something knew they are teaching kids.
Probability is the study of calculating the chances or likelihood of an event occurring out of the total number of events. This likelihood is always presented as part of a whole. It could be in fractions or percentages.
There are two techniques to apply to this problem. First, we use the repeated trial equation:
P = n!/r!(n-r)! * p^(n-r) * q^r
This is used to determine the probability that an event will occur exactly 'r' times out of 'n' trials. p is the probability of success, while q is the probability of failure. Together, they add up to 1. In this case, each kind of plant has 1/3 probability. So, p=1/3 and q=2/3.
Second thing to note when dealing with probability problems are 'hint words'. When you are asked to find the probability of event A 'AND' event B happening, then you multiply their probabilities. However, when you are asked to find the probability of event A 'OR' event B happening, then you add their probabilities. Hence, the solution to this problem is:
P = 6!/4!(6-4)! * (1/3)^6-4 * (2/3)^4 + 6!/5!(6-5)! * (1/3)^6-5 * (2/3)^5
P = 0.596 or 59.6%
Step-by-step explanation:
Given the simultaneous equation
5c+4p=18.40 ..... 2
2c+4p=11.20.......2
According to the equation given 7c+8p=29.60, we will see that the two equation was added to get the required equation in question. Note that this equation 7c+8p=29.60 cannot help us to solve the simultaneous equation because the resulting equation is one equation with two unknown variables. For us to get a solution to the simultaneous equation, we need to reduce the system of equation to just an equation and a variable. This can be gotten by taking the difference of the two equation as shown: (Elimination method)
Equation 1 - equation 2 will give;
(5c-2c)+(4p-4p) = 18.40-11.20
3c+0 = 29.60
3c = 29.60
Divide both sides by 3
3c/3 = 29.60/3
c = 9.87
Substitute c = 9.87 into equation 2
From 2: 2c+4p = 11.20
c + 2p = 5.60
9.87 + 2p = 5.60
2p = 5.60 - 9.87
2p= -4.27
p = -4.27/2
p = -2.135
You can see that what helped in solving the system of equation is by eliminating one of the variables first using the Elimination method.
