How fast the distance between them decrease is 16mph
<h3>How to calculate the speed of an object?</h3>
Given the following parameters
Speed of the hiker = 6mph
If is it 3/11 the rate of a cyclist, then the rate of the cyclist will be:
6 = 3x/11
3x = 66
x = 22mph
Distance between them = 22 - 6
Distance between them = 16mph
Hence how fast the distance between them decreases is 16mph
Learn more on speed here: brainly.com/question/4931057
If 1 book costs $4 then 289 books will make 289 times as much
so...
(price of book) x (number of books sold) = (amount of money made)
in this case...
4 x 289 = 1156
Answer:
Mean = 3
Variance = 2
Step-by-step explanation:
Since number of eggs he eats is equally likely to any 5 numbers, probability of each one will be (1/5) = 0.2
The probability mass function will therefore be
x 1 2 3 4 5
p 0.2 0.2 0.2 0.2 0.2
The mean is given as the expected value
And expected value is given as
E(X) = Σ xᵢpᵢ
where x = each possible sample space
p = probability of the sample space occurring.
E(X) = (1×0.2) + (2×0.2) + (3×0.2) + (4×0.2) + (5×0.2) = 3 eggs.
b) Variance is given by
Variance = Var(X) = Σx²p − μ²
where μ = E(X)
Σx²p = (1² × 0.2) + (2² × 0.2) + (3² × 0.2) + (4² × 0.2) + (5² × 0.2) = 0.2 + 0.8 + 1.8 + 3.2 + 5 = 11
Var(X) = Σx²p − μ² = 11 - 3² = 11 - 9 = 2
