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3 years ago

9

Of the 350 people surveyed recently in New York, 68% said they prefer to vacation in Florida. Find the number preferring to vact

ions in florida

1 answer:

garik1379 [7]3 years ago

6 0

Answer:

238 people

Step-by-step explanation:

68% of 350 is 238

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Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if o

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Answer:

The two angles are 69° and 21°.

Step-by-step explanation:

Write out the expression:

let x and y be two angles that are complementary and the sum of their measures is 90°

-> x° + y° = 90°

if one angle is 6º more than three times the other angle:

-> x° = 6° +3y°

Plug x = 6+3y into x° + y° = 90°

6° + 3y° + y° = 90°

Solve for y

4y° = 84°

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Suppose that X is a random variable that has a binomial uncertainty distribution with parameters n = 10 and π = 0.4. Calculate t

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<h3>The numerical value of the probability that x = 6. </h3>

The given parameters are:

n = 10

π = 0.4

The probability is then calculated as:

$P(x) = ^nC_x * \pi^x *(1-\pi)^{n-x}$

So, we have:

$P(6) = ^{10}C_6 * 0.4^6 *(1-0.4)^4$

Apply the combination formula

$P(6) = \frac{10!}{6!4!} * 0.4^6 *0.6^4$

So, we have:

$P(6) = 210 * 0.4^6 *0.6^4$

Evaluate

P(6) = 0.1115

Hence, the numerical value of the probability that x = 6 is 0.1115

<h3>The numerical values of the mean and standard deviation </h3>

The mean value is:

$\bar x = n\pi$

This gives

$\bar x = 10 * 0.4$

$\bar x = 4$

The standard deviation value is:

$\sigma = \sqrt{\bar x(1-\pi)$

This gives

$\sigma = \sqrt{4(1-0.4)$

$\sigma = 1.55$

Hence, the numerical values of the mean and standard deviation are 4 and 1.55, respectively

Read more about mean and standard deviation at:

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