The correct answer would be 37.5, but since you cant have half a table, its rounds up to A., 37. Hope you found this helpful, and if so, please mark as Brainliest! (:
The <em>correct answer</em> is:
x < 17.89 or x > 18.61 because |x – 18.25| > 0.36
.
Explanation:
We know that the target weight is 18.25. We also know that to be accepted, the weight of each pack must be within 0.36 of this target weight. The packs can be up to 0.36 more than or up to 0.36 less than the target weight; for this reason, we use an absolute value equation:
|x-18.25| ≤ 0.36
However, we are concerned with the weights of the packs that are rejected. These will be <em>more than </em>0.36 different from the target weight:
|x-18.25| > 0.36
To solve this, we consider the positive and negative values of 0.36 (since it is an absolute value equation). Remember the rules of inequalities; when we change the sign of the answer, we change the inequality sign as well:
x - 18.25 > 0.36 or x - 18.25 < -0.36
To solve each of these, add 18.25 to each side:
x - 18.25 + 18.25 > 0.36 + 18.25 or x - 18.25 + 18.25 < -0.36 + 18.25
x > 18.61 or x < 17.89
This means the correct choice is the first one.
Answer:
g(x) = x² + 5x + 2
Step-by-step explanation:
If a function is f(x) = x²
And this function is shifted 4 units left then the rule to be followed is,
g(x) = f(x + 4)
Following the same rule,
For a function f(x) = x² - 3x - 2 when shifted 4 units to the left,
g(x) = f(x + 4)
g(x) = (x + 4)² - 3(x + 4) - 2
= x² + 8x + 16 - 3x - 12 - 2
= x² + 5x + 2
Therefore, g(x) = x² + 5x + 2 will be the transformed function.
Answer:
The lower limit is 36
Upper limit is 96
Standard deviation is 30
Step-by-step explanation:
Considering the range of the test score which is 60. i.e the difference between the largest and the smallest number is 60. The mean is 66 which is a measure of central tendency. That is it is at the centre of the distribution. Dividing 60 by 2 gives 30.
Adding 30 to the mean will indicate our upper limit i.e 30+66=96
Also, subtracting 30 from 66 will give the lower limit i.e. 66-30=36
The Distance between the range and the mean is the standard deviation
Which in this case is +30 or -30
The answer is in the image