MATHEMATICS HIGH SCHOOL

Which of the following groups has terms that can be used interchangeably with the others?1. Percentage, Probability, and Proportion2. Critical Value, Probability, and Proportion3. Critical Value, Percentage, and Probability4. Critical Value, Percentage, and Proportion

Answers

Answer 1

Answer:

Answer: 1) Percentage, Probability, Proportion

Step-by-step explanation:

In statistics,

▪Proportion means a fraction of the total.

▪Percentage means a number or a ratio, expressed as a fraction of 100. Here, the total is 100.

▪Probability which may look slightly different from the other two means a number between 0 and 1, showing the exact likelihood of an event happening. Which in context can mean, a number showing a fraction of an event happening out of the whole (0 to 1).

▪Critical value means a point in hypothesis testing on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis.

In the four definitions, the odd one out is Critical Value.

So the option without critical value in it is option 1) Percentage, Probability, Proportion since we can use the three interchangeable.

Answer 2

Answer:

1. Percentage, Probability, and Proportion

Step-by-step explanation:

Proportion means a portion of a whole e.g. 2/5

Percentage means a ratio of a number expressed as a fraction of 100 e.g 20/100

Probability- This means the likelihood of an event to occur e.g 1/2

All these three terms are usually expressed as a Fraction of a Number which makes them similar.

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To clean a tank, 3/4 cup of disinfectant is needed for every 2 gallons of water. How many cups of disinfectant are needed for 20 gallons of water?A. 7 1/2
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Find all sets of four consecutive integers whose sum is between 95 and 105

Answers

Hello,
Let n-2,n-1,n,n+1 the four consecutive integers.

s=n-2+n-1+n+n+1=4n-2
==> 95<=4n-2<=105
==> 97<=4n<=107
==>24.25<=n<=26.75

n= 25 ou n=26
if n=25, s=23+24+25+26=98
if n=26, s=24+25+26+27=102

2 solutions: {23,24,25,26} and {24,25,26,27}

Whats the perimeter of a regular nonagon with an apothem of 17 cm and a side length of 12.4 cm.

Answers

Answer:

The perimeter of the regular nonagon is 111.6 cm

Step-by-step explanation:

In this question, we are asked to calculate the perimeter of a regular nonagon given the apothem and the length of its side

Since the polygon is regular, it means the length of its sides are equal.

The polygon we are dealing with here is a nonagon meaning it is a 9 sided polygon

Mathematically, the perimeter is ;

P =n * s

where n is the number of sides and a is the length of one of the side of the polygon

From the question, our s = 12.4 cm

Plugging this into the perimeter equation, we have;

P = 12.4 * 9 = 111.6 cm

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Answers

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A passenger elevator in the sears tower in chicago can lift people 960 feet in 1 minute and 30 seconds. How fast must the friend elevator be traveling if it lifts cargo the same height but in 2 minutes and 30 seconds?

Answers

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In the diagram below, the measure of angle XAY is 72° (m∠XAY = 72°). Since the measure of the intercepted arc XY is 144°, a student named Naomi mistakenly claims that the measure of ∠XBY is also 144°.a. In a short paragraph, explain the source of Naomi’s error. In your response, be sure to describe the problem in terms of the following two formulas:

inscribed angle = 1/2 · (intercepted arc) and
intercepted arc = central angle.

Be sure to use important vocabulary like “inscribed angle,” “central angle”, and “intercepted arc”.

Answers

Answer:

Angle of the intercepted arc is equal to the angle at the centre (central angle) but B is not the centre hence XBY is not 144°.

Angle at the circumference (inscribed angle) is half of the central angle, but XBY is not the central angle, so it's not 2×72.

Hence not 144°

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