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RUDIKE [14]
3 years ago
8

Word phase of algebra expression

Mathematics
2 answers:
Law Incorporation [45]3 years ago
8 0
By three times the number variable
umka21 [38]3 years ago
4 0
In order to write algebraic expressions<span> and equations, assign a variable to represent the unknown number. In the table below, the letter “x” is used to represent the unknown.

</span>Like,

Operation: Addition ( + ) 
Key word/phrase: plus, more than, the sum of, the total of, increased by, and added to.
Example: A number plus three, Ten more than a number, The sum of a number and five, The total of six and some number, A number increased by two, Eleven added to a number. 
Translation: x + 3, x + 4, x + 10, x + 5, x + 2, 6 + x, x + 11 and so on.

Subtraction ( − ) minus A number minus seven X – 7 less than Four less than a number X – 4 the difference of The difference of a number and three X – 3 less Nine less a number 9 – X decreased by A number decreased by twelve X – 12 subtracted from Six subtracted from a number 

Multiplication ( x ) times Eight times a number 8x the product of The product of fourteen and a number 14x twice; double Twice a number; double a number 2x multiplied by A number multiplied by negative six −6x of Three fourths of a number \frac{3}{4} x

Division ( ÷ ) the quotient of The quotient of a number and seven divided by Ten divided by a number the ratio of The ratio of a number to fifteen \frac{x}{7} ,  \frac{10}{x} ,  \frac{x}{15}

Powers ( x^n ) the square of; squared The square of a number; a number squared x^2 the cube of; cubed The cube of a number; a number cubed x^3

Equals ( = ) equals Seven less than a number equals ten. x − 7 = 10 is Three times a number is negative six. 3x = −6 is the same as Eight is the same as twice a number. 8 = 2x yields Twelve added to a number yields five. x + 12 = 5 amounts to Nine less a number amounts to twenty. 9 – x = 20 

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Answer:

Sample mean =119.42

Median = 92

25% trimmed mean = 102.42

10% trimmed mean = 95.69

Step-by-step explanation:

Data in increasing order :

12 13 20 23 31 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249 262 289 323 388 513

Total no. of observations = 50

Sample mean = \frac{\text{Sum of all observations}}{\text{Total number of observations}}

= \frac{5971}{50} = 119.42

Median: Since we have even number of observation

Median = \frac{1}{2}({25\text{th term} + 26\text{th term}) = \frac{91+93}{2} = 92

10% Trimmed Mean: We remove 5 values from each side

Trimmed set = 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249

Trimmed mean =  \frac{\text{Sum of Trimmed Set}}{\text{Total number of observations}} = \frac{4097}{40} = 102.42

25% Trimmed Mean: We remove 12 values from each side.

Trimmed set =  66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141

Trimmed mean =  \frac{\text{Sum of Trimmed Set}}{\text{Total number of observations}} = \frac{2488}{26} = 95.69

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Step-by-step explanation:

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x=3/4

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4x/4=3/4

x=3/4

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