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Firlakuza [10]
2 years ago
6

Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at

a rate of 70mph. She calculated and determined that a car travelling at 70 mph covers approximately 1.13 × 105 meters per hour. Tori wrote this expression to determine the distance she would travel into outer space. (3.21 × 103)(1.13 × 105) Estimate the distance travelled
Mathematics
2 answers:
Westkost [7]2 years ago
5 0

Answer:

         \large\boxed{\large\boxed{3\times 10^8meters}}

Explanation:

One of the applications of scientific notation is to make estimations rounding the whole part of the numbers, i.e. the digits before the decimal point, to the nearest integer, and adding the exponents of the powers of base 10.

Here, you must estimate this product of two numbers written is scientific notation:

          (3.21\times 10^3)(1.13\times 10^5)

Then, for an estimation you round 3.21 to 3 and 1.13 to 1, then multiply 3 × 1 = 3. That will be the coefficient of your new power of 10.

The power or exponent will be the sum of the powers of the numbers that are being multiplied, i.e. 3 + 5 = 8.

And the result is 3\times 10^8

The unit is meters, so you write your answer as: 3\times 10^8meters

ki77a [65]2 years ago
5 0

Answer:

b. 3*10^8

Step-by-step explanation:

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Complete question is;

In a certain community, 8% of all people above 50 years of age have diabetes. A health service in this community correctly diagnoses 95% of all person with diabetes as having the disease, and incorrectly diagnoses 10% of all person without diabetes as having the disease. Find the probability that a person randomly selected from among all people of age above 50 and diagnosed by the health service as having diabetes actually has the disease.

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Probability of having diabetes and being positive is;

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We are told 8% or 0.08 have diabetes and there's a correct diagnosis of 95% of all the persons with diabetes having the disease.

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P(positive) = 0.08 + 0.092 = 0.172

P(has diabetes | positive) = 0.076/0.172 = 0.442

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