Answer:
0.013
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ (1−p)ⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
and p is the probability of success.
Given n = 6, p = 0.69, and r = 0 or 1:
P = ₆C₀ (0.69)⁰ (1−0.69)⁶⁻⁰ + ₆C₁ (0.69)¹ (1−0.69)⁶⁻¹
P = (1) (1) (0.31)⁶ + (6) (0.69) (0.31)⁵
P = 0.013
Answer:
The distribution of sample means will form a normal distribution
Step-by-step explanation:
Answer: it will take 6 months for her collection to have 18 pucks.
Step-by-step explanation:
Let x represent the number of months it will take for her collection to have 18 pucks.
She has 12 pucks already in her collection. She has a friend that works at the stadium that can get her 3 new pucks each month. This means that the number of pucks that she would have after x months is expressed as
12 + 3x
For her to get 18 pucks, the expression would be
12 + 3x = 18
3x = 18 - 12
3x = 6
x = 6/3
x = 2
Step-by-step explanation:
To determine distances, we need to use this formula: 
To apply that formula we need to use the coordinates of point, but in this case will be calculated generally, due to the lack of specific values.
So, Point A have the coordinates 
Let's call Point P the one that's on the x-axis, its coordinates are 
Applying the formula, the distance between this two points will be:

To find an opposite and equidistant point, we only need to use opposite values. So, let's call Point B, the opposite point, its coordinates will be:

And the distance will be the same, because squared values will always results positive.