(a) Count the number of ways to select a sample of 3 people to serve on a board of directors from a population of 6 people. answer: (b) If a simple random sampling procedure is to be employed, the chances that any particular sample will be the one selected are

Answer:

4. x=4

5. x=-8

6. x=8

Step-by-step explanation:

It may take one extra step to get to the solution, but this method always works.

1. find the variable term that is smallest or most negative. Subtract all the terms on that side of the equation from both sides of the equation.

2. collect terms

3. divide the equation by the coefficient of the variable

4. add the opposite of the constant

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4. The most negative variable term is -9x, which is on the left side. Subtracting (24-9x) from both sides of the equation, we have ...

0 = -3x -24 +9x

0 = -24 +6x

0 = -4 +x . . . . . divide by 6

4 = x . . . . . . . . add the opposite of -4

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5. The smallest variable term is 18x, on the right. (The variable term on the left is 20x.)

4(5x +2) +11 -18x -3 = 0 . . . subtract the right side

2x +16 = 0 . . . collect terms

x +8 = 0 . . . . . . divide by 2

x = -8 . . . . . . . . add -8

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6. All variables are on the left side, so we can just collect terms and divide by the coefficient of the variable.

-5x = -40 . . . collect terms

x = 8 . . . . . divide by -5

If you were to literally follow the steps above, you would recognize that -5x is less than 0x (the x-term on the right side of the equation), so you would subtract the left side, giving ...

0 = 5x -40

0 = x -8 . . . . . divide by 5

8 = x . . . . . . . . add 8

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Comment on this solution technique

You will often be told to solve these equations by separating the variable terms from the constant terms. This method actually puts the variable terms and constant terms together (and zero on the other side of the equal sign). The constant is separated from the variable as the last step of this solution process, rather than as one of the first steps. By doing this, we don't have to worry about which variable term or which constant term we're going to mess with.

The only reason for choosing the variable term with the smallest (least) coefficient in the first step is to ensure that the resulting variable coefficient is positive. This tends to reduce errors later on. You can also use that same strategy when solving the equation following the "separate constant terms and variable terms" approach.

Answer:

A. $441.93

Step-by-step explanation:

Given that Nevaeh took out a 20-year loan for $155,000 at 3.6% interest, compounded monthly and  her monthly payment on the loan is $906.93

Let us calculate EMI schedule for 155000 for 20 years

Out of EMI 906.93, 441.93 will be for note reduction.

There are four options given as

A. $441.93

B. $465.00

C. $906.93

D. $326.49

Correct answer is option A) 441.93$

Answer:

Ordinal

Step-by-step explanation:

Level of measurement used in statistics summarizes what statistical analysis that is possible. There exist three types of level of measurement. The nominal, ordinal and Interval/Ratio level of measurement. Here, our primary focus will be the Ordinal level of measurement.

Ordinal level of measurement indicates the position in a sequence. In the military sector, the officer's rank is said to be Ordinal. This implies that the ordinal level of measurement categorizes variables according to hierarchy or ranks with a meaningful order. Still, the intervals and differences between the variables may not be equal.

Final answer:

The level of measurement for an officer's rank in the military, is classified as ordinal because there's a distinct order but not a measurable difference between ranks.

Explanation:

The level of measurement for an officer's rank in the military is ordinal. This is because it contains a set order or ranking, without a measurable difference between each rank. For instance, a Colonel is above a Captain, but there's no defined 'numeric difference' you can attribute between the two ranks since it's not a sequence of numbers. This is distinct from levels like interval or ratio, where a specific measurable difference could be discerned between the ranks.

Learn more about Level of Measurement here:

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