To find the GCF of the two terms, continuous division must be done.
What can be used to divide both terms such that there is not a remainder?
Start small, let's take 2. It could be a GCF.
Move up higher, say 3. Yes, it can be a GCF.
To see if there might be a greater common factor, divide the constants by 3.
48/3 = 16
81/3 = 27
Upon inspection and contemplation, there is no more common factor between 16 and 27. So, 3 is the GCF.
Moving on, when it comes to variables. The variable with the least exponents is easily the GCF. For the variable m, the GCF is m2 and for n, the GCF is n.
Combining the three, we have the overall GCF = 3m2n
Solution :
Let x be student will be left handed
P = 0.09
Using the normal approximation to binomial distribution,
a). n = 108,
μ = np = 9.72
= 2.9741
Required probability,
P(x=8) = P(7.5 < x < 8.5)
Using z table,
= P(z<-0.41)-P(z<-0.75)
= 0.3409-0.2266
= 0.1143
b). P(x=12) = P(11.5 < x < 12.5)
Using z table,
= P(z< 0.94)-P(z< 0.60)
= 0.8294 - 0.7257
= 0.1006
Answer:
y = 1/4x + 7
Step-by-step explanation:
(-4, 6) and (0, 7)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(7 - 6) / (0 - (-4))
Simplify the parentheses.
= (1) / (0 + 4)
= (1) / (4)
Simplify the fraction.
= 1/4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 1/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 7). Plug in the x and y values into the x and y of the standard equation.
7 = 1/4(0) + b
To find b, multiply the slope and the input of x(0)
7 = 0 + b
Now, isolate b.
7 = b
Plug this into your standard equation.
y = 1/4x + 7
This is your equation.
Check this by plugging in the other point you have not checked yet (-4, 6).
y = 1/4x + 7
6 = 1/4(-4) + 7
6 = -1 + 7
6 = 6
Your equation is correct.
Hope this helps!
Answer:
5
Step-by-step explanation:
