Answer
t = 2
Step-by-step explanation
Simplify 5-(t+3).
-t+2=-1+2t-3
Subtract 3 from -1
-t+2=2t-4
Move all terms containing to the left side of the equation.
-3t+2=-4
Move all terms not containing t to the right side of the equation.
-3t=-6
Divide each term by -3 and simply.
t = 2
Answer:
see below
Step-by-step explanation:
The line is AB with ↔ over it
The Plane requires 3 letters not all in a line
The plane name is ABD
Answer:
E(X) = 17.4
Step-by-step explanation:
We can calculate the expected value of a random X variable that is discrete (X takes specific values ) as:
E(X) = ∑xp(x) where x are the specific values of x and p(x) the probability associated with this x value.
In this way the expexted value is
E(X) = ∑xp(x) =(16*0.6)+(18*0.3)+(20*0.2) = 8+5.4+4 = 17.4
Taking the cubic root of a number is the same as raising that number to the power of 1/3.
Moreover, we have
So, we have
![\sqrt[3]{64} = \sqrt[3]{2^6} = (2^6)^{\frac{1}{3}} = 2^{6\cdot\frac{1}{3}} = 2^2 = 4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%20%3D%20%5Csqrt%5B3%5D%7B2%5E6%7D%20%3D%20%282%5E6%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%202%5E%7B6%5Ccdot%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%202%5E2%20%3D%204%20)
