Download App

Linear Inequations — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLinear Inequations3 Marks
Question
The water acidity in a pool is considered normal when the average pH reading of three daily measurements is between 7.2 and 7.8. If the first two pH reading are 7.48 and 7.85, find the range of pH value for the third reading that will result in the acidity level being normal.
✓

Answer

Let the pH value of third reading be x.
$\therefore7.2<\frac{7.48+7.85+\text{x}}{3}<7.8$
⇒ 21.6 < 7.48 + 7.85 + x < 23.4
⇒ 21.6 < 15.33 + x < 23.4
⇒ 21.6 - 15.33 < x < 23.4 - 15.33
⇒ 6.27 < x < 8.07
$\therefore$ The range of pH value for the third reading is lies between 6.27 and 8.07.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "(Each question 3 marks)" from Linear Inequations→Linear Inequations — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Find the sum of the following geometric series:$\frac{\text{a}}{1+\text{i}}+\frac{\text{a}}{(1+\text{i})^2}+\frac{\text{a}}{(1+\text{i})^3}+\ ...\ +\frac{\text{a}}{(1+\text{i})^\text{n}}.$
→
How many natural numbers less than 1000 can be formed from the digits 0, 1, 2, 3, 4, 5 when a digit may be repeated any number of times?
→
Solve the inequality and show the graph for the solution on number line: 3x – 2 < 2x + 1
→
How many four-digit numbers can be formed with the digits 3, 5, 7, 8, 9 which are greater than 8000, if repetition of digits is not allowed?
→
The sum of two numbers is 6 times their geometric mean, show that numbers are in the ratio $( 3 + 2 \sqrt { 2 } ):( 3 - 2 \sqrt { 2 } )$.
→
Find sin $\frac{x}{2},\cos \frac{x}{2}$ and $\tan \frac{x}{2}$ in the $\cos\;x\;=-\frac13$, x in quadrant III.
→
Let f(x) be a function defined by $\text{f(x)}=\begin{cases}\frac{3\text{x}}{|\text{x}|+2\text{x}}, & \text{x} \neq0\\\ \ \ \ 0, & \text{x} = 0\end{cases}.$
→
Find the centroid of a triangle, mid-points of whose sides are $(1, 2, -3), (3, 0, 1)$ and $(-1, 1, -4)$.
→
If P(n − 1, 3) : P(n, 4) = 1 : 9, find n.
→
Find the locus of a point such that the sum of its distances from (0, 2) and (0, -2) is 6.
→