Same as before
total=(2w+75)(2w+35)=4w²+220w+2625
pool=75 times 35=2625
minus pool from total
4w²+220w+2625-2625=4w²+220w
Answer:
0.26 and 0.577
Step-by-step explanation:
Given :
x :___0 ___ 1 ____ 2 ____ 3
f(x):_0.80 _0.15__0.04 __0.01
The mean :
E(X) = Σ(x * p(x))
E(X) = (0*0.8) + (1*0.15) + (2*0.04) + (3*0.01)
E(X) = 0 + 0.15 + 0.08 + 0.03
E(X) = 0.26
Var(X) = Σx²*p(x)) - E(x)²
Σx²*p(x)) = (0^2*0.8) + (1^2*0.15) + (2^2*0.04) + (3^2*0.01) = 0.4
Σx²*p(x)) - E(x)² = 0.4 - 0.26² = 0.3324
Std(X) = √0.334 = 0.577
The first step of solving this problem is to find your x, which is the unknown number. The unknown number is the age of Max. Once you find the x you can write out your equation.
The equation for this problem is:
2x+8=26
the first step is to subtract 8 from both sides so that all you have on the left side is 2x and your equation will look like ths:
2x=18
after subtracting the 8; divide everything by the coefficient of x which is 2, your result is:
x=9
Max is 9 years old.
The slope (m) and the ordered pairs are given.
In order to arrive at the standard form : AX + BY = C, we need to form the slope-intercept form first : y = mx + b
Substitute the values in order to get the intercept (b)
y = mx + b
5 = 5/4 * 4 + b
5 = 5 + b
b = 0
So given the m = 5/4, b = 0
y = mx + b
y = 5/4x+ 0
Converting it to Standard Form
y = 5/4x + 0
5/4x - y = 0 (multiply both sides by 4)
5x - 4y = 0
<span>So the Standard form is 5x - 4y = 0</span>
Answer:
There is an inverse relationship between the total magnification and the diameter of the field of view – i.e., as magnifications increases the diameter of the field decreases in proportion, so the diameter of field of view at different magnification can be calculated mathematically, using the formula.
Step-by-step explanation:
