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%)
E, the rest are all linear functions
Hey there!!
They're called Inverse operation. Such as *multiplication and division* and *addition and subtraction*
Hope this helps. c:
Answer:
6.6 cm
Step-by-step explanation:
The tangent function relates the 35° angle, the adjacent side 12 cm, and the unknown opposite side, x.
We can write tan 35° = opp / adj = x / (12 cm)
Multiplying both sides by 12 cm isolates (solves for) x:
(12 cm)(tan 35°) = x Note that 35° is equivalent to 0.6109 radians.
Thus, x = (12 cm)(0.5484) = 6.58 cm, or 6.6 to the nearest tenth.
Answer:
answer to 3 is
Step-by-step explanation:
1 hour = 0.7
2 hours = 1.4
3 hours = 2.1
4 hours = 2.8
5 hours = 3.5
6 hours = 4.2
7 hours = 4.9
8 hours= 5.6
9 hours= 6.3
10 hours= 7.0
11 hours = 7.7
12 hours =8.4
