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Juliette [100K]
3 years ago
8

Of 70 tosses of a dime, 55 results are heads. Find the empirical probability of tossing heads with this coin. ______ Is this a f

air coin, in your opinion? Why or why not?
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
8 0
The empirical, or experimental, probability of an event is the number of times the event occurred over the number of times the experiment was conducted.  In this case it would be 55/70 = 11/14, as there were 55 heads flipped out of a total of 70 coin flips.
Mathematically speaking, no, this is not a fair coin.  To be fair, both events would have to have the same chance of happening.  Since the probability of heads was 55/70, that leaves 15/70 for tails.  The chances are not equal, so not fair.
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Step-by-step explanation:

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A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥
gregori [183]

Answer:

B) (35, 260)

Step-by-step explanation:

A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?

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B) (35, 260)

C) (260, 35)

D) (240, 35)

Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.

Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²

For a 35 pound dog (i.e w = 35 pound). The dosage is given as:

d ≥ 1∕5(35)² ≥ 245 milligrams.

For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).

The dog weight is the independent variable and the dosage is the dependent variable.

From the ordered pairs, the best option is (35, 260) because 260 ≥ 240

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