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Artemon [7]
3 years ago
13

Professor Ivy has following scores on her final exams: 97 88 66 55 89 72 94 32 84 89 72 76 77 Express answers rounded correctly

to the nearest tenth
Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0

Answer:

The rest of the question:

<u>Find </u>Mean, Median, Mode, 25th Percentile, 75th Percentile, Maximum, Minimum, Range and IQR.

Let's begin by placing the data points in order from least to greatest:

32  55  66  72  72  76  77  84  88  89  89  94  97

n = 13

<u>1) Mean</u> sometimes called the average = the sum of the data over its number

Mean =( 32+55+66+72+72+76+77+84+88+89+89+94+97 )/13 =

         = 991/13 = 76.23 ≈ 76.2 (to the nearest tenth)

<u>2) Median</u> is the middle data point = 77

<u>3) Mode</u> is any number within a set that occurs the most often

Mode = 72 and 89

We will making a data in suitable form to find the remaining requirements:

<u>(32  55  </u><u>66  72</u><u>  72  76) </u> 77  <u>(84  88  </u><u>89  89</u><u>  94  97) </u>

<u>4) 25th Percentile </u>= Quartile 1 (Q1) which is the median of the first set of data

∴ 25th Percentile = (66+72)/2 = 138/2 = 69

<u>5) 75th Percentile</u>= Quartile 3 (Q3) which is the median of the second set of data

∴ 75th Percentile = (89+89)/2 = 89

<u>6) Maximum</u> = 97

<u>7) Minimum</u> = 32

<u>8) Range</u> = Maximum - Minimum = 97 - 32 = 65

<u>9) IQR (interquartile range)</u> = Q3 - Q1 = 89 - 69 = 20

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alukav5142 [94]

Answer:

Salaried pay. Salaried employees make more per week than hourly employees.

Step-by-step explanation:

A salaried employee makes $67,000 per year. To know which option is better, we need to calculate how much hourly employees make in year.

An hourly employee needs to work 44 hours a week (0+10+8+8+7+6.5+4.5 = 40). So the first 40 hours will be paid 25$ per hour and the next 4 will be paid $37.50 per hour. So an hourly employee will make $1150 a week (40*$25 + 4*$37.50 = $1150).

Considering that a month has 4 weeks, and a year has 12 months, an hourly employee will make $55,200 a year ($1150*4*12=$55,200).

An hourly employee makes $55,200 a year, while a salaried employee makes $67,000. So I would recommend the option c) to a new employee.

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I need help with this. A picture for #8 is above.
Sonja [21]

Since the lengths of the segments AD=PD are equal that means that the triangle is an isosceles triangle. This also means that the angles A and P (in the triangle) are equal.

This also means that the angle P' (the one inside the quadrilateral) is equal to:

180-\measuredangle B

Now, if we extend the sides DP and CB we notice that the angles P' and Q

are equal

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8 0
1 year ago
F (x) = cx + 3
algol13

<em>If f(1) = 1 that means c is -2 because when you substitute x = 1 and when c = -2, you'll get f(1) = -2(1)+3 = -2+3 = 1</em>

<em>So the constant c is -2 and that means the value of f(-4) is</em>

<em>f(-4)=-2(-4)+3=8+3=11</em>

<em />

<em>Thus, the value of f(-4) is 11.</em>

<em />

<em>About why does "c" have to be -2, here's the proof.</em>

 <em>Given y = f(x), therefore.</em>

<em>y=cx+3</em>

<em>Since when x = 1 and y = 1, then Substitute x = 1 and y = 1, thus 1 = c+3</em>

<em>1 - 3 = c and therefore, -2 = c #</em>

<em>So this is the proof that c = -2</em>

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