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Thepotemich [5.8K]
3 years ago
13

For an in-class demonstration, a teacher flips a fair coin 5 times, and each of the 5 times it lands on heads. A student argues

that it's more likely to land on tails on the next flip. What, if anything, is incorrect about the student's logic?
A.
The student's logic is incorrect; since a coin being flipped 5 times is 5 independent events, the probability of the next flip landing on heads is still 1/2.
B.
The student's logic is incorrect; since a coin being flipped 5 times is 5 dependent events, the probability of the next flip landing on heads is still 1/2
C.
There is nothing wrong with the student's logic; because a coin being flipped 5 times is 5 independent events, the probability the next flip will land on heads is affected by the previous outcomes.
D.
There is nothing wrong with the student's logic; because a coin being flipped 5 times is 5 dependent events, the probability the next flip will land on heads is affected by the previous outcomes.
Mathematics
1 answer:
Hoochie [10]3 years ago
3 0
A appears to be correct

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Answer:

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Step-by-step explanation:

We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.

First of all, we will find the volume of silo using volume of cone formula.

\text{Volume of cone}=\frac{1}{3}\pi r^2 h, where,

r = radius

h = Height

We know that radius is half the diameter, so radius of silo would be r=\frac{3}{2}=1.5.

\text{Volume of cone}=\frac{1}{3}\pi (1.5\text{ m})^2 (8)\text{ m}

\text{Volume of cone}=\frac{1}{3}\pi\times 2.25\text{ m}^2 (8)\text{ m}

\text{Volume of cone}=\pi\times 0.75\text{ m}^2 (8)\text{ m}

\text{Volume of cone}=\pi\times 6\text{ m}^3

\text{Volume of cone}=18.8495559\text{ m}^3

Now we will multiply total volume by $414 to find total cost.\

\text{Total cost of soybeans}=\$414 \times 18.8495559

\text{Total cost of soybeans}=\$7803.7161426

\text{Total cost of soybeans}\approx \$7803.72

Therefore, it will cost $7803.72 to fill the silo with soybeans.

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