A.) 200+15m=395. This is because the initial price is 200, and after that she will add $15/month. The equation you chose would be exponential, meaning the rate would increase as time passed, which is not the case. Instead, the rate is constant, and the only think that changes is m, the number of months.
b.) I believe it will be easier to answer with ^this equation.
c.) The rate of change would be 15, since the rate is increasing monthly by $15.
d.) Once you solve 209+15m=495, you'll have the answer.
Answer:
E(X) = 1.5
Var(X) = 2.325
Step-by-step explanation:
X - the number of pairs of cats (out of the 5 cats) to choose the same type of treat, can take values of:
X = (0, 1, 2, 3, 4, 5)
Also probability of choosing a treat, since they are all equally likely is: f(x) = 1/10
E(X) - expectation of x, is given by:
E(X) = Summation [X*f(x)]
E(X) = 0x(1/10) + 1x(1/10) + 2x(1/10) + 3x(1/10) + 4x(1/10) + 5x(1/10)
= (1/10) x (1+2+3+4+5)
E(X) = 3/2 = 1.5
Also, variance is:
Var(X) = Summation f(x)*[X - E(X)]^2
= (1/10)x(0-1.5)^2 + (1/10)x(1-1.5)^2 +(1/10)x(2-1.5)^2 +(1/10)x(3-1.5)^2 +(1/10)x(4-1.5)^2 +(1/10)x(5-1.5)^2
= (1/10)x[2.25 + 0.25 + 2.25 + 6.25 + 12.25]
Var(X) = 2.325
Vertex 0,-1 and axis of symmetry is x=0
Answer:
3. 13/36, 14/36, 15/36, 16/36, 17/36
4.
-0.5 <u> </u><u>-0.25</u> 0 0.25 <u>0</u><u>.</u><u>5</u>
5. 0.05
Answer:
135ml
Step-by-step explanation:
glass originally 4/12 full
it then became 9/12 full
therefore 75ml = 5/12
75/5= 15ml per 1/12
15x9= 135ml total