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yarga [219]
3 years ago
11

Use the formula for the probability of the complement of an event. A coin is flipped 4 times. What is the probability of getting

at least 1 tail?
Mathematics
1 answer:
raketka [301]3 years ago
7 0

Answer: 15/16

Step-by-step explanation:

There will be 16 outcomes for 4 coins=2^4

Probability of only head is : P(C)=1/16

P(C) + P(C') = 1

P(C') = 1 - P(C)

P(C') = 1 - 1/16

Take the l.c.m

P(C') = (16-1) / 16

P(C') = 15/16

So the probability of getting at least 1 tail is 15/16

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James works for a delivery company. He gets paid a flat rate of $5 each day he works, plus an additional amount of money for eve
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Answer:

(a) The rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries is $2.

(b) The rate of change is the same between the two time intervals.

Step-by-step explanation:

The rate of change for a variables based on another variable is known as the slope.

The formula to compute the slope is:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

(a)

Compute the rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries as follows:

For, <em>x</em>₁ = 0 and <em>x</em>₂ = 2 deliveries the money earned are <em>y</em>₁ = $5 and <em>y</em>₂ = $9.

The rate of change for the money earned is:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

        =\frac{9-5}{2-0}\\\\=\frac{4}{2}\\\\=2

Thus, the rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries is $2.

(b)

Compute the rate of change for the money earned, measured as dollars per delivery, between 2 and 4 deliveries as follows:

For, <em>x</em>₁ = 2 and <em>x</em>₂ = 4 deliveries the money earned are <em>y</em>₁ = $9 and <em>y</em>₂ = $13.

The rate of change for the money earned is:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

        =\frac{13-9}{4-2}\\\\=\frac{4}{2}\\\\=2

The rate of change for the money earned, measured as dollars per delivery, between 2 and 4 deliveries is $2.

Compute the rate of change for the money earned, measured as dollars per delivery, between 6 and 8 deliveries as follows:

For, <em>x</em>₁ = 6 and <em>x</em>₂ = 8 deliveries the money earned are <em>y</em>₁ = $17 and <em>y</em>₂ = $21.

The rate of change for the money earned is:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

        =\frac{17-21}{8-6}\\\\=\frac{4}{2}\\\\=2

The rate of change for the money earned, measured as dollars per delivery, between 6 and 8 deliveries is $2.

Thus, the rate of change is the same between the two time intervals.

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Step-by-step explanation:

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