<h3>
Answer: A) 5.4%</h3>
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Explanation:
We use the binomial probability formula here
P(k) = (n C k)*(p)^k*(1-p)^(n-k)
In this case, there are n = 12 trials and p = 0.5 is the probability of getting heads. The value of k = 3 means we want 3 heads.
So,
P(k) = (n C k)*(p)^k*(1-p)^(n-k)
P(3) = (12 C 3)*(0.5)^3*(1-0.5)^(12-3)
P(3) = 220*(0.5)^3*(1-0.5)^(12-3)
P(3) = 0.0537109375
P(3) = 0.054
P(3) = 5.4%
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Side note: the n C k refers to the nCr combination formula
where the exclamation marks mean factorials. You could also use Pascal's Triangle as an alternative for this portion.
Move everything to one side, it becomes negative
3x+4-4x-5
=-x-1
Answer:
perimeter = 204m
Step-by-step explanation:
area of a square = side²
2601m² = side²
√(2601m²) = √side²
51m = side
perimeter of a square = 4*side
perimeter of this square = 4*51
perimeter of this square = 204m
Answer:
Step-by-step explanation:
place a marker every mile along the race course. How
Answer:
The required equation in factored form is: 
Step-by-step explanation:
In this question we need to find the equation of the graph in factored form.
The factored form will be: 
where a is y-intercept and r₁, r₂ are x-intercepts
X-intercepts
When y=0, the values of x axis are known as x-intercepts
Y-intercepts
When x=0, the values of y-axis are known as y-intercepts.
Looking at the graph finding x-intercepts
When y=0 x=-2 and 1
So, we have
r₁ = -2
r₂ = 1
Looking at the graph finding y-intercepts
When x=0, y=-4
So, a = -4
Putting values in the formula we will get:
So, the required equation in factored form is:
