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fomenos
2 months ago
13

A population consists of 500 elements. We want to draw a simple random sample of 50 elements from this population. On the first

selection, the probability of an element being selected is
A. 0.100
B. 0.010
C, 0.001
D. 0.002
Mathematics
1 answer:
Inessa [12.5K]2 months ago
4 0

Response:

D. 0.002

Detailed explanation:

Given;

total sample size, N = 500 elements

50 elements are drawn from this sample.

The probability of choosing the first element from the 50 drawn will be = 1 / total sample size

The probability of picking the first element = 1 / 500

The likelihood of the first selection = 0.002

Thus, for the first draw, the probability of an element being selected is 0.002

The appropriate option is "D. 0.002"

You might be interested in
Suppose that a student is randomly selected from a large high school. The probability that the student is a senior is 0.22. The
lawyer [12517]

Answer: La probabilidad que necesitamos es 0.16.

Step-by-step explanation:

Se nos proporciona que

La probabilidad de que el estudiante sea un senior = 0.22

La probabilidad de que el estudiante tenga una licencia de conducir = 0.30

La probabilidad de que el estudiante sea un senior o tenga una licencia de conducir = 0.36

Buscamos la probabilidad de que el estudiante sea un senior y tenga licencia de conducir.

Según la pregunta,

P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\\P(S\cap D)=0.22+0.30-0.36\\\\P(S\cap D)=0.16

Por lo tanto, la probabilidad que necesitamos es 0.16.

3 0
2 months ago
Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs
PIT_PIT [12445]

Answer:

The formula to determine the distance Jane's trainer bikes is x=\sqrt{16^2+12^2}.

Detailed explanation:

A diagram has been included for clarity.

Known values:

Distance biked to the south = 16 miles

Distance ran west = 12 miles

We need to determine the distance covered by Jane's trainer.

Solution:

Let the biking distance be represented by 'x'.

We will assume it forms a right-angled triangle.

According to the Pythagorean theorem, it states that;

"The square of the hypotenuse is equal to the sum of the squares of the other two sides."

When set in equation form, this gives us;

x^2=16^2+12^2\\\\x=\sqrt{16^2+12^2}

Thus, the equation representing the distance biked by Jane's trainer is x=\sqrt{16^2+12^2}.

Upon solving, we find;

x=\sqrt{16^2+12^2}\\\\x= \sqrt{256+144}\\ \\x=\sqrt{400} \\\\x=20\ miles

Consequently, Jane's trainer covers a distance of 20 miles.

7 0
1 month ago
3. At a local restaurant, the health inspector visits every 7 days, and the fire inspector visits every 12 days. (a) Make a tabl
Leona [12618]
Health inspector visits once a week.
Fire inspector comes every 12 days.

a) health inspector fire inspector.
day 7.                    day 12.   
day 14.                    day 24.
day 21.                    day 36.
day 28.                    day 48.
day 35.                    day 60.

b) 12 x 7 = 84.

Both will coincide on day 84.




6 0
2 months ago
Read 2 more answers
How do i convert 8.25*10^2 cg to nanograms?
Inessa [12570]
1 cg equals 10^-5 kg
Thus, 8.25 * 10^2 cg converts to 8.25 * 10^-3 kg

1 nanogram is represented as 10^-12 kg
Consequently, 8.25 * 10^-3 kg is equivalent to 8.25 * 10^9 nanograms

As a result, 8.25 * 10^2 cg is equal to 8.25 * 10^9 nanograms.
5 0
2 months ago
In year 3 it is expected that the total value of clothing sales will reach 32 million if the total value of ASCO sells Remains t
tester [12383]

Answer:

The sales figure for the third year is [\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%].

Step-by-step explanation:

Since sales data for the second year is unavailable, we denote it as x million.

Year 3's total sales amount to 32 million.

Calculate the sales account for year 3 as follows:

\text{Percentage of sales for year 3}=\frac{\text{Total Sales in year 3}-\text{Total Sales in year 2}}{\text{Total Sales in year 2}}\times 100\%

                                                =\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%

3 0
3 months ago
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