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2 years ago

How many different simple random sampmes of size 5 can be obtained from a pppulation whose size is 43?

Mathematics

1 answer:

Nesterboy [21]2 years ago

4 0

Answer:

Number of random samples = 962598

Step-by-step explanation:

A random sample represents the responses for a certain survey of a part of the population.

A sample size is the part of the population being surveyed.

For a population $N$ the number of different random samples that can be chosen for a sample size $x$ can be calculated as = $NCx$

This can be calculated as :

$NCx=\frac{N!}{x!(N-x)!}$

Given:

Population size = 43

Sample size = 5

Number of random samples = $43C5$

⇒ $\frac{43!}{5!(43-5)!}$

⇒ $\frac{43!}{5!(38)!}$

⇒ $\frac{43\times42\times41\times40\times39}{5\times4\times3\times2\times1}$ [Canceling out the common terms]

⇒ $962598$ (Answer)

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<u>Before we plug in the values, don't forget to change 3.5% to its decimal form.</u>

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3 years ago

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Step-by-step explanation:

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2 years ago

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3 years ago

How do I solve tan(62) = 12/x?

notsponge [240]

Answer:

x = 6/31 = 0.194

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(62)-(12/x)=0

Step by step solution :

Step 1 :

Simplify ——

Equation at the end of step 1 :

62 - —— = 0

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x as the denominator :

62 62 • x

62 = —— = ——————

1 x

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

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Step 3 :

Pulling out like terms :

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Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

2•(31x-6)

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Now, on the left hand side, the x cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

2 • (31x-6) = 0

Equations which are never true :

4.2 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3 Solve : 31x-6 = 0

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Answer :

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2 years ago

How many different simple random sampmes of size 5 can be obtained from a pppulation whose size is 43?​

How many different simple random sampmes of size 5 can be obtained from a pppulation whose size is 43?