The answer is y=2 !!!!!!!!!!!!!!
Answer:
a ≈ 19.45
Step-by-step explanation:
<u><em>Law of Cosines</em></u>
a=c2+b2﹣2cbcosγ
=112+132﹣2·11·13·cos(108°)
≈19.45196
I dont believe you typed the whole equation, if you can clarify I might be able to help! but 3×27 = 81 if that's what you were looking for.
Answer:
a) 3/64 = 0.046 (4.6%)
b) 63/64 = 0.9843 (98.43%)
c) 1/64 = 0.015 (1.5%)
d) 1/4 = 0.25 (25%)
Step-by-step explanation:
in order to verify that the f(x) is a probability mass function , then it should comply the requirement that the sum of probabilities over the entire space of x is equal to 1. Then
∑f(x)*Δx = 1
if f(x)=(3/4)(1/4)^x , x = 0, 1, 2, ...
then Δx=1 and
∑f(x) = (3/4)∑(1/4)^x = (3/4)* [ 1/(1-1/4)] = (3/4)*(4/3) = 1
then f represents a probability mass function
a) P(X = 2)= f(x=2) = (3/4)(1/4)^2 = 3/64 = 0.046 (4.6%)
b) P(X ≤ 2) = ∑f(x) = f(x=0)+ f(x=1) + f(x=2) = (3/4) + (3/4)(1/4) + 3/64 = 63/64 = 0.9843 (98.43%)
c) P(X > 2)= 1- P(X ≤ 2) = 1 - 63/64 = 1/64 = 0.015 (1.5%)
d) P(X ≥ 1) = 1 - P(X < 1) = 1 - f(x=0) = 1- 3/4 = 1/4 = 0.25 (25%)
Answer:
Step-by-step explanation:
B) Small triangle:
height = 20 - 15 = 5
base = 1
height to base = 5 :1
Medium triangle :
height = 60 -30 = 30
base = 2
height to base = 30 :2 = 15 :1
Large triangle:
height = 120 - 60 = 60
base = 4
height to base = 60 : 4 = 15 : 1
c) The ratios are same. This is true because wage and working hours are in direct proportion.
E) Take any two points. (1 , 15) & (2 , 30). Find the slope.
Slope = Change in y ÷ change in x
m = (30-15) ÷ (2 -1) = 15/1 = 15
y -y1 = m(x -x1)
y - 15 = 15(x - 1)
y - 15 = 15x - 15
y = 15x - 15 + 15
y = 15x
