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3 years ago

1. The sum of two consecutive integers is at least 23. What is the smallest value that will make the statement true?

Mathematics

2 answers:

Volgvan3 years ago

7 0

Answer:

1- 11+ 12 = 23

2- -7 + -6 = -13

erik [133]3 years ago

4 0

^^^ ^^^^^^^^
he’s right

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Using the frequency table given, find the mean, median, and mode.

aalyn [17]

Answer:

$Mean = 69$

$Mode = 66$

$Median = 69$

Step-by-step explanation:

Given

The frequency table

Required

Determine the mean, median and mode

Calculating Mean

$Mean = \frac{\sum fx}{\sum f}$

Where

fx = product of frequency and inches

f = frequency

So;

$Mean = \frac{63 * 2 + 65 * 1 + 66 * 4 + 67 * 3 + 68 * 1 + 69 * 2 + 70 * 2 + 71 * 1 + 72 * 3 + 74 * 2 + 75 * 2}{2 + 1 + 4 + 3 + 1 + 2 + 2 + 1 + 3 + 2 + 2}$

$Mean = \frac{1587}{23}$

$Mean = 69$

Calculating Mode

$Mode = 66$

Because it highest frequency of 4

Calculating Median

$Median = \frac{\sum f}{2}th\ position$

$Median = \frac{2 + 1 + 4 + 3 + 1 + 2 + 2 + 1 + 3 + 2 + 2}{2}th\ position$

$Median = \frac{23}{2}th\ position$

$Median = 11.5th\ position$

Approximate

$Median = 12th\ position$

At this point we, need to get the cumulative frequency (CF)

Inches ---- Frequency ---- CF

63 -------------2------------------2

65 -------------1------------------3

66 -------------4------------------7

67 -------------3------------------10

68 -------------1------------------11

69 -------------2------------------13

70 -------------2------------------15

71 -------------1------------------16

72 -------------3------------------19

74 -------------2------------------21

75 -------------2------------------23

From the above table

Since the median fall in the 12th position, then we consider the following data

69 -------------2------------------13

because it has a CF greater than 12

Hence;

$Median = 69$

7 0

4 years ago

Five plus 4 times a number is equal to the sum of 7 times the number and 11.

wel

The equation would be 5+4x=7x+11
Which comes out to:
x = - 2

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bogdanovich [222]

Step-by-step explanation:

$g(f(8)) =( n ^{2} - n )+ 1 = 8 ^{2} - 8 + 1 = 64 + 9 = 73$

3 0

3 years ago

Twice a number plus 4 is 8

Sunny_sXe [5.5K]

To do this, we must allow this hidden number to be x.
2x + 4 = 8
Now we will solve by first subtracting 4 from each side:
2x = 4
Now we will divide each side by 2 to isolate the variable:
x = 2
Therefore, the mystery number is 2.

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A basketball player recorded her points for 11 consecutive games. Her points are listed below. 13, 20, 15, 22, 24, 21, 18, 20, 2

Jlenok [28]

Answer:

the answer is 23 on edguniity

Step-by-step explanation:

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