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Law Incorporation [45]
2 years ago
12

SELECT ALL THAT APPLY. In a population of 250 students, 60% are Whites, 20% are Latinos, 15% are Blacks, and 5% others. In a pro

portionate stratified random sample of 120, ______.
Mathematics
1 answer:
Sophie [7]2 years ago
6 0

In a proportionate stratified sample of 120, there are 72 Whites, 24 Latinos, 18 Blacks and 6  others.

Proportionate Stratified Sample

A proportionate stratified sample is one in which the size of the strata in the sample is proportional to the size of the strata in the population; in other words, the chance of selecting a unit from a stratum depends on the relative size of that stratum in the population.

Calculating the Proportionate Stratified Sample

The given percentage of -

Whites = 60%

Latinos = 20%

Blacks = 5%

Strength of the sample = 120

⇒ Number of Whites = 60% of 120

= 0.6 × 120

=72

Number of Latinos = 20% of 120

= 0.2 × 120

=24

Proportionate Stratified Sample of Blacks and Others

Count of Blacks = 15 % of 120

= 0.15 × 120

= 18

Count of others = 5% of 120

= 0.05 × 120

6

Thus, in a Proportionate Stratified Sample of 120, 72 are Whites, 24 are Latinos, 18 are Blacks, and 6 are others.

Learn more about Proportionate Stratified Sample here:

brainly.com/question/20692763

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Answer:

Helena is correct.

Step-by-step explanation:

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The point slope form of the equation is

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8 0
3 years ago
Sergio is working on a research project involving the ages of students at Brooklyn College. After interviewing 500 students, he
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Answer:

The probability of of a randomly chosen student being exactly 21 years old.

= 1.293

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given Population  size n = 500</em>

<em>Mean of the Population = 20 years and 6 months</em>

<em>                                        = </em>20 + \frac{6}{12} = 20 +0.5 = 20.5 years<em></em>

<em>Standard deviation of the Population = 2 years</em>

Let 'X' be the range of ages of the students on campus follows a normal distribution

Let   x =21

            Z = \frac{x-mean}{S.D}

            Z = \frac{x-mean}{S.D} = \frac{21-20.6}{2} =0.2

<em>The probability of a randomly chosen student being exactly 21 years old.</em>

<em>P( Z≤21) =  0.5 + A( 0.2) </em>

            = 0.5 +0.793

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6 0
3 years ago
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Anettt [7]
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3 years ago
The arc of the parabola y = x^2 from (3,9) to (4,16) is rotated about the y-axis. Find the area of the resulting surface. Please
Hitman42 [59]

Answer:

156.5

Step-by-step explanation:

Thinking process:

The area can be calculated using the formula:

S = \int\limits^4_3 {2\pi x\sqrt{1+}(2x)^{2} } \, dx

We let the substitution take place.

Therefore, we let u = 1 + 4x^{2}

Thus, du = 8dx.

So,

xdx = \frac{1}{8}du

Also, the interval of the integration changes to [ 37, 65]

Thus,

S = \int\limits^4_3 {2\pi \sqrt{1+4x^{2} } } \, dx \\= \int\limits^65_35 {2\pi \sqrt{\frac{1}{8}u } } \, dx

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= 156.5 units²

8 0
3 years ago
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Answer:

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7 0
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