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Artyom0805 [142]
2 years ago
5

A penny, a nickel, a dime, and a quarter are tossed. What is the probability of obtaining at least one head on the tosses?

Mathematics
1 answer:
Anton [14]2 years ago
5 0
The penny can land two ways. The nickel can land two ways. The dime can land two ways. The quarter can land two ways. The total number of ways that all of them can land is (2x2x2x2)= 16 possibilities. Only ONE result shows no heads . . . TAIL-TAIL- TAIL-TAIL. All of the other 15 possibilities include at least one HEAD. So the probability is 15/16 = 93.25% .
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Step-by-step explanation:

The exponential growth equation is expressed as;

S(t) = S0e^kt

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If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;

2 = S0e^k(1)

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Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;

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206 = S0e^8k .... 2

Next is to calculate the value of k

Divide equation 2 by 1;

\frac{206}{2} = \frac{S0e^{8k} }{S0e^k }\\103 =   e^{7k}\\apply \ ln \ to \ both \ sides\\ln103 = lne^{7k}\\ln103 = 7k\\k = \frac{ln103}{7}\\k = \frac{4.6347}{7} \\k =  0.6621

Hence the value of k to the nearest hundredth is 0.66

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Step-by-step explanation:

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Combine Like Terms:

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