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Andreyy89
1 year ago
6

Cody's new car cost $15,200. With a sales tax of 7%, determine the total price of the car.

Mathematics
2 answers:
kogti [31]1 year ago
8 0

Answer: 16264

Step-by-step explanation: 15,200 times 1.07 (1.07 is the sales tax plus the original amount which is expressed as 1%)

Paul [167]1 year ago
4 0

Answer:

$16,264

Step-by-step explanation:

.07(15200)=1064

1064+15200(original price)=16264

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A baker records the internal temperature of a pie that has been left out on the counter. The room temperature is 14 Celsius. An
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Assume r= t  not sure if you mistyped this.
t =  15 min

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2 years ago
State the size of angle OAB, giving a reason for your answer
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Answer:

Angle OAB = 90°

Reason: tangent theorem of a circle

Step-by-step explanation:

The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.

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Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.

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2 years ago
Flip two coins 100 times, and record the results of each coin toss in a table like the one below:
monitta

Answer:

1)The theoretical probability that a coin toss results in two heads showing is 25%.

2)The experimental probability that a coin toss results in two heads showing is 44%.

3) The theoretical probability that a coin toss results in two tails showing is 25%.

4) The experimental probability that a coin toss results in two tails showing is 34%.

5) The theoretical probability that a coin toss results in one head and one tail showing is 50%.

6) The experimental probability that a coin toss results in a head and a tail is 22%.

7) The experimental probabilities are slightly different from the theoretical probabilities because the number of experiments is relatively small. As the number of experiments increase, the experimental probabilities will get closer to the theoretical probabilities.

Step-by-step explanation:

Probability:

What you want to happen is the desired outcome.

Everything that can happen iis the total outcomes.

The probability is the division of the number of possible outcomes by the number of total outcomes.

Theoretical Probability:

The results you expect to happen.

Experimental Probability:

The probability determined from the result of an experiment.

1. What is the theoretical probability that a coin toss results in two heads showing?

In each toss, the theoretical  probability that a coin toss results in a head showing is 50%.

So for two coins, the probability is:

P = (0.5)^{2} = 0.25

The theoretical probability that a coin toss results in two heads showing is 25%.

2. What is the experimental probability that a coin toss results in two heads showing?

There were 100 flips, and it resulted in two heads 44 times, so:

P = \frac{44}{100} = 0.44

The experimental probability that a coin toss results in two heads showing is 44%.

3. What is the theoretical probability that a coin toss results in two tails showing?

In each toss, the theoretical  probability that a coin toss results in a tail showing is 50%.

So for two tails, the probability is:

P = (0.5)^{2} = 0.25

The theoretical probability that a coin toss results in two tails showing is 25%.

4. What is the experimental probability that a coin toss results in two tails showing?

There were 100 flips, and it resulted in two tails 34 times, so:

P = \frac{34}{100} = 0.34

The experimental probability that a coin toss results in two tails showing is 34%.

5. What is the theoretical probability that a coin toss results in one head and one tail showing?

In each toss, the theoretical probability that a coin toss results in a tail showing is 50% and in a head showing is 50%.

They can be permutated, as the tail can appear before the head, or the head before the tail. So:

P = p_{2,1}*(0.5)*(0.5) = \frac{2!}{1!}*0.25 = 0.50

The theoretical probability that a coin toss results in one head and one tail showing is 50%.

6. What is the experimental probability that a coin toss results in one head and one tail showing?

There were 100 flips, and it resulted in a head and a tail showing 22 times, so:

P = \frac{22}{100} = 0.22

The experimental probability that a coin toss results in a head and a tail is 22%.

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