Show that (1 + 2V3)2 = 13 +4V3

Mathematics

1 answer:

Marta_Voda [28]2 years ago

8 0

Answer:

(1+2V3)^2=13+4V3

<=> 1 +4V3 +12 = 13+4V3

<=> 1 +12 = 13

<=> 13=13

sorry if i wrong :(

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When Brooklyn runs the 400 meter dash, her finishing times are normally distributed with a mean of 76 seconds and a standard dev

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Using the Empirical Rule, it is found that her finishing time will be between 70 and 82 seconds in 95% of her races.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, the mean is of 76 seconds and the standard deviation is of 3 seconds, then:

76 - 2 x 3 = 70.

76 + 2 x 3 = 82.

Which means that values between 70 and 82 seconds are within 2 standard deviations of the mean, hence the percentage is of 95%.

More can be learned about the Empirical Rule at brainly.com/question/24537145

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2 years ago

Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate

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Answer:

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b) 0.9984

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We are given the following information in the question:

Mean, μ = 24

Standard Deviation, σ = 6.4

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