Answer:
Step-by-step explanation:
x² + 2x = 6
Subtract both sides by 6.
x² + 2x - 6 = 0
ax²+bx+c=0
a=1, b=2, and c=-6
We can apply the quadratic formula.
Plug in the values.
Evaluate.
Answer:
−0.989010989010
Step-by-step explanation:
what is the 45th term of a sequence generated by the formula tn=(-1)^n * (2n/2n+1)?
When n= 45
tn=(-1)^n*(2n/2n+1)
tn = (-1)^45 * ( 2(45) / 2(45) + 1
= -1 * 90 / (90+1)
= -90 / 91
= −0.989010989010
The 45th term of the sequence generated by the formula tn=(-1)^n*(2n/2n+1) is −0.989010989010
I’m not that smart i just get answers off the internet
Area of square = 15 x 15 = 225 cm^2
area of circle = pi r^2 = (3.14)(15)(15) = 706.5 cm^2
1/4 of circle = 706.5 / 4 = 176.6
so area of yellow region = 225 - 176.6 = 48.4 cm^2
answer
48.4 cm^2
Answer:
a. 
.
b. 
Step-by-step explanation:
By the definition, the expected value of a random variable X with probability mass function p is given by 
where the sum runs over all the posible values of X. Given a function g, the random variable Y=g(X) is defined. Note that the function g induces a probability mass function P' given by P'(Y=k) = P(X=g^{-1}(k)) when the function g is bijective.
a. Note that for 1/3ln(2)+1/6ln(5) by choosing the function g(x) = ln(x) the expression coincides with E(g(x)), because if Y = g(x) then E(Y) = P'(Y=1)*ln(1)+P'(Y=2)*ln(2)+P'(Y=5)*ln(5) = P(X=1)*ln(1)+P(X=2)*ln(2)+P(X=5)*ln(5).
b. On the same fashion, the function g(x) = xe^{xt} fullfills the expression of E[g(X)]
