The transformation required to obtain the graph of the given function from the basic trigonometric graph y=cscx-10 is that <span>the graph is translated to the right along the x-axis by 9 units.
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Total = 102
probability of getting a white gumball
= 22/102
The best estimate would be 35%.
7 out of the 20-coin sample were from before 1980; 7/20 = 35%.
Using the binomial probability concept ; the probability of obtaining 10 or more heads is 0.0457
Recall :
P(x = x) = nCx * p^x * q^(n-x)
Where :
- n = number of trials = 12
- x ≥ 10
- p = probability of success = 0.5
- q = 1 - q = 0.5
P(x ≥ 10) = P(x = 10) + P(x = 11) + P(x = 12)
Using a binomial probability calculator :
P(x = 10) =
P(x = 11) =
P(x = 12) =
P(x ≥ 10) = 0.01611 + 0.02930 + 0.000244
P(x ≥ 10) = 0.045654
Therefore, probability of getting <em>as</em><em> </em><em>extreme</em><em> </em><em>or</em><em> </em><em>more</em><em> </em><em>extreme</em><em> </em><em>than</em><em> </em><em>10</em><em> </em><em>heads</em><em> </em><em>is</em><em> </em>0.0457.
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The bench is cost $350
T+B=654
T=B-46
2B=700
B=350
