Answer:
10m
Step-by-step explanation:
You use Work done=Force × Distance
So therefore 1000=100×D
Therefore D=10m
Answer:
2635
Step-by-step explanation:
the first two stand for 1000
so
2000
is the first part
the second numeral stands for 100
there are 6 of them
so
600
is the second part
the third numeral stands for 10 and there are 3 of them
thus
30
is the third part
there are 5 lines so the last part is 5
so your answer is 2635
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:
see below
Step-by-step explanation:
To check your solution , plug the value of k into the original equation
6(7k-10) =24
k=2
6(7*2-10) =24
6(14-10) =24
6(4) =24
24=24
The solution is correct
