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Furkat [3]
3 years ago
12

PLEASE NEED HELP ASAP WILL GIVE 50 POINTS

Mathematics
1 answer:
nikklg [1K]3 years ago
4 0

Answer: x = 3

Those angle markings tell us that all three angles are the same measure (60 degrees). So this is an equilateral triangle with each side congruent to each other.

Pick 2 sides, equate the expressions, solve for x. I'm going to pick AB and AC to work with

AB = AC

6x - 3 = 3x+6

6x-3x = 6+3

3x = 9

x = 3

----------

This works with any pair of sides, such as AC and BC

AC = BC

3x+6 = 5x

6 = 5x-3x

6 = 2x

2x = 6

x = 3

----------

and let's do the last one to be complete (it's optional)

AB = BC

6x-3 = 5x

6x-5x = 3

x = 3

Either way, we get the same result each time.

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Answer:

Complete Table:

Result of Roll ------ Frequency ------- Experimental Probability

1 --------------------------- 22 ------------------- 0.176

2 --------------------------- 13 ------------------- 0.104

3 --------------------------- 18 ------------------- 0.144

4 --------------------------- 29 ------------------- 0.232

5 --------------------------- 37 ------------------- 0.296

6 --------------------------- 6 ------------------- 0.048

Step-by-step explanation:

Required: Complete the table

The table is divided into 3:

1. Result of Roll

2. Frequency (F)

3. Experimental Probability (P)

The relationship between (2) and (3) is:

P = \frac{F}{N}

Where

N = Number of Rolls

N = 125

For Roll of Result = 2

Frequency = 13

The probability is calculated as thus:

P = \frac{13}{125}

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For Roll of Result = 3

Probability = 0.144

The Frequency is calculated as thus:

0.144 = \frac{F}{125}

F = 0.144 * 125

F = 18

For Roll of Result = 4

Frequency = 29

The probability is calculated as thus:

P = \frac{29}{125}

P = 0.232

For Roll of Result = 5

Probability = 0.296

The Frequency is calculated as thus:

0.296 = \frac{F}{125}

F = 0.296* 125

F = 37

For Roll of Result = 6

Frequency = 6

The probability is calculated as thus:

P = \frac{6}{125}

P = 0.048

For Roll of Result = 1.

To get the frequency; we subtract the sum of frequencies of roll of results 2 to 6 from the total number of rolls.

In other words:

Frequency of 1 = Total Rolls - (Frequency of 2 + Frequency of 3 + Frequency of 4 + Frequency of 5 + Frequency of 6)

Frequency of 1 = 125 - (13 + 18 + 29 + 37 +6)

Frequency of 1 = 125 - 103

Frequency of 1 = 22

The probability is calculated as thus:

P = \frac{F}{N}

P = \frac{22}{125}

P = 0.176

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