3 years ago

At 1:00, the minute and hour hands form a 30º angle. What is the measure of the angle at 4:00, in degrees?

Mathematics

1 answer:

dmitriy555 [2]3 years ago

8 0

A 120 degree obtuse angle.

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3 years ago

Find the volume of the given solid. under the surface z = 5xy and above the triangle with vertices (1, 1), (4, 1), and (1, 2)

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3 years ago

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3 years ago

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2 years ago

A multiple choice test has four possible answers for each question. Let X be the number of correct responses in a test of 100 qu

dimulka [17.4K]

Answer:

a. 4.33.

Step-by-step explanation:

If there is only one correct answer out of four alternatives, the expected proportion of correct answers is p =0.25

Sample size (n) = 100 questions

The standard deviation of a proportion 'p' is given by:

$s=\sqrt{\frac{p*(1-p)}{n} }$

Applying the given data:

$s=\sqrt{\frac{0.25*(1-0.25)}{100}}\\s=0.0433$

If X is the number of correct responses in 100 guesses, the standard deviation of X is:

$\sigma = n*s=100*0.0433\\\sigma = 4.33$

The standard deviation of X is 4.33 questions.

7 0

2 years ago