A. x <= -12
<u>Explanation:</u>
-3x >= 36
-x >= 36/ 3
-x > = 12
x < = -12
When the negative sign is shifted then the greater than equal to sign reverses to less than equal to.
Therefore, x <= -12
Answer:
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Step-by-step explanation:
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The required number is 19 given that -2 is added to a number, the sum is doubled and the result is -15 less than the number. This can be obtained by assuming the number as x, converting the given conditions to algebraic expression, forming algebraic equation and solving for x.
<h3>Find the required number:</h3>
Here in the question it is given that,
- The result is -15 less than the number
We have to find the required number.
Let the required number be x.
⇒ -2 is added to the number ⇒ -2 + x
⇒ the sum is doubled ⇒ 2(-2 + x)
⇒ the result is -15 less than the number ⇒ 2(-2 + x) = x -(-15)
2(-2 + x) = x + 15
⇒ - 4 + 2x = x + 15
⇒ x = 19
Hence the required number is 19 given that -2 is added to a number, the sum is doubled and the result is -15 less than the number.
Learn more about algebraic expression and equation here:
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Answer:
The lower class boundary for the first class is 140.
Step-by-step explanation:
The variable of interest is the length of the fish from the North Atlantic. This variable is quantitative continuous.
These variables can assume an infinite number of values within its range of definition, so the data are classified in classes.
These classes are mutually exclusive, independent, exhaustive, the width of the classes should be the same.
The number of classes used is determined by the researcher, but it should not be too small or too large, and within the range of the variable. When you decide on the number of classes, you can determine their width by dividing the sample size by the number of classes. The next step after getting the class width is to determine the class intervals, starting with the least observation you add the calculated width to get each class-bound.
The interval opens with the lower class boundary and closes with the upper-class boundary.
In this example, the lower class boundary for the first class is 140.
