Short Answers
P(Both) = 0.1792
Givens
The total number of roles = 100
Total number of heads = 56
Number of times rolled a four = 32 [check this for me].
Set up the probabilities.
P(H) = 56/100
P(4) = 32/100
P(H)*P(4) = P(Both)
Substitute and solve
P(Both) = 56/100 * 32/100 = 1792/10000
P(Both) = 112/625 because there are many cancellations. Or you could just express it as 0.1972
Since you are solving for diameter, and the equation is given to you, just isolate the variable for diameter (d).
(C)/π = (πd)/π
d = C/π is your formula you will use.
Plug in 56 for C
d = 56/π
d = ~17.825
~
The graph that represents function h is the graph in; Option C
<h3>How to Interpret Graph Transformations?</h3>
The parent function is; f(x) = tan (x)
The transformed function is; h(x) = -tan(¹/₂x)
Now, from general tangent function we know that; y = tan(Bx)
Thus, period = π/(¹/₂)
From the given transformation that produced the h(x) function and when we look at the given graphs, the one that represents the function h is Option C.
Read more about Graph Transformations at; brainly.com/question/4289712
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What’s the question? I don’t have enough info.