Advertisements
Advertisements
प्रश्न
The water acidity in a pool is considerd normal when the average pH reading of three daily measurements is between 8.2 and 8.5. If the first two pH readings are 8.48 and 8.35, find the range of pH value for the third reading that will result in the acidity level being normal.
उत्तर
Let the third pH value be x.
Given that first pH value = 8.48
And second pH value = 8.35
∴ Average value of pH = `(8.48 + 8.35 + x)/3`
But average value of pH lies between 8.2 and 8.5
∴ `8.2 < (8.48 + 8.35 + x)/x < 8.5`
⇒ 24.6 < 16.83 + x < 25.5
⇒ 24.6 – 16.83 < x < 25.5 – 16.83
⇒ 7.77 < x < 8.67
Hence, the third pH value lies between 7.77 and 8.67.
APPEARS IN
संबंधित प्रश्न
Solve: 4x − 2 < 8, when x ∈ R
\[\frac{5x}{2} + \frac{3x}{4} \geq \frac{39}{4}\]
\[\frac{x - 1}{3} + 4 < \frac{x - 5}{5} - 2\]
\[\frac{2x + 3}{4} - 3 < \frac{x - 4}{3} - 2\]
\[\frac{5 - 2x}{3} < \frac{x}{6} - 5\]
\[x - 2 \leq \frac{5x + 8}{3}\]
\[\frac{4x + 3}{2x - 5} < 6\]
\[\frac{x - 1}{x + 3} > 2\]
2x + 6 ≥ 0, 4x − 7 < 0
Solve each of the following system of equations in R.
2x − 3 < 7, 2x > −4
Solve each of the following system of equations in R.
\[\frac{7x - 1}{2} < - 3, \frac{3x + 8}{5} + 11 < 0\]
Solve each of the following system of equations in R.
\[0 < \frac{- x}{2} < 3\]
Solve
\[\left| x + \frac{1}{3} \right| > \frac{8}{3}\]
Solve
\[\left| \frac{3x - 4}{2} \right| \leq \frac{5}{12}\]
Solve
\[\left| \frac{2x - 1}{x - 1} \right| > 2\]
Solve \[\left| 3 - 4x \right| \geq 9\]
Mark the correct alternative in each of the following:
If − 3x\[+\]17\[< -\]13, then
Mark the correct alternative in each of the following:
If \[\left| x + 2 \right|\]\[\leq\]9, then
Mark the correct alternative in each of the following:
The linear inequality representing the solution set given in 
Mark the correct alternative in each of the following:
If \[\left| x + 3 \right|\]\[\geq\]10, then
Solve |3 – 4x| ≥ 9.
Solve for x, `(|x + 3| + x)/(x + 2) > 1`.
If `1/(x - 2) < 0`, then x ______ 2.
Solve for x, the inequality given below.
`4/(x + 1) ≤ 3 ≤ 6/(x + 1)`, (x > 0)
Solve for x, the inequality given below.
`-5 ≤ (2 - 3x)/4 ≤ 9`
The longest side of a triangle is twice the shortest side and the third side is 2cm longer than the shortest side. If the perimeter of the triangle is more than 166 cm then find the minimum length of the shortest side.
Given that x, y and b are real numbers and x < y, b < 0, then ______.
If `2/(x + 2) > 0`, then x ______ –2.
