# Recent questions tagged o-level

273
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Make $$x$$ subject of formula: $$V_2=V_1\left(1-\left(\frac{x}{100}\right)^2\right)$$
380
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A rally driver in a competition is expected to cover a distance of $$285 km$$ in five hours. Part of the race track is murram while the rest is under repair. The drive is...
286
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Solve the simultaneous equations $$x+3y=-1$$ and $$-3x+6y=8$$
248
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Solve the simultaneous equations $$y-3x=5$$ and $$2y+3x=28$$
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Two students are selected from a class to the quiz team. If one of the student selected is a girl, what is the probability that both the students selected are girls? i. \...
410
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The probability that A speaks truth is $$\frac{4}{5}$$, while this for $$B$$ is $$\frac{3}{4}$$, the probability that they contradict each other when asked to speak on a ...
333
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In the diagram, $$\hat{P}=67^{\circ}, \mathrm{PQ}=3 \mathrm{~cm}$$ and $$\mathrm{PR}=9,2 \mathrm{~cm}$$. Determine the length of $$Q R$$.
559
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Suppose that you spin the dial shown in the figure so that it comes to rest at a random position. Model this with a suitable probability density function, and use it to f...
698
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A heat pump is to extract heat from an outdoor environment at $$7^{\circ} \mathrm{C}$$ and heat the environment indoors to $$27^{\circ} \mathrm{C}$$. For each $$15,000 J\... 694 views 0 answers Given, \(\triangle \mathrm{ABC}$$ with $$\mathrm{AB}=5,3 \mathrm{~km}, \mathrm{BC}=7,2 \mathrm{~km}$$ and $$\hat{\mathrm{C}}=42^{\circ}$$1. Calculate the magnitude of $$\... 1.2k views 0 answers Among 40 condensers produced by a machine, 6 are defective. If we randomly check 5 condensers, what are the probabilities that(a) none are defective;(b) all are defective... 828 views 1 answers The supervisor of a group of 20 construction workers wants to get the opinion of 2 of them (to be selected at random) about certain new safety regulations. If 12 workers ... 560 views 0 answers Last year; the maximum daily temperature in a plants' server room exceeded \(68^{\circ} \mathrm{F}$$ in 12 days. Estimate the probability that the maximum temperature wil...
692
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A car rental agency has 19 compact cars and 12 intermediate-size cars. If four of the cars are randomly selected for a safety check, what is the probability of getting tw...
864
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The next generation of miniaturized wireless capsules with active locomotion will require two miniature electric $${ }^{1}$$ motors to maneuver each capsule. Suppose 10 m...
351
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Solve for $$t$$ in $$16-2 t=5 t+9$$
761
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What is the probability that of 25 randomly selected students, no two share the same birthday?
399
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Did climate change cause the dust bowl?
718
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$$A, B, C$$ and $$D$$ are points on the circumference of a circle such that $$A B=B C$$. $$A F$$ is a tangent to the circle through $$A B C D$$ at $$A$$.Prove:1. $$\trian... 798 views 0 answers What is \(12\dfrac{1}{3}$$ percent as a fraction?
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(a) How fast is the coffee cooling (in degrees per minute) when its temperature is $$T=80^{\circ} \mathrm{C} ?$$(b) Use linear approximation to estimate the change in tem...
523
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In 1939 , Joe Sprinz, a professional baseball player, attempted to catch a ball dropped from a blimp. This was done for the purpose of braking the record for catching a b...
713
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A particle starts from rest (that is with initial velocity zero) at the point $$x=10$$ and moves along the $$x$$-axis with acceleration function $$a(t)=12 t$$. Find the r...
389
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The equation of position vs. time for a moving object, in SI units, is as $$x=-t^{2}+6 t-9 .$$ Which of the following choices are correct?(a) The object's acceleration is...
518
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Factorise $$10 x y^2+52 x y$$
445
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Simplify $$\frac{1}{7} \times \frac{9}{16} \times \frac{16}{9} \times \frac{16}{9} \times \frac{9}{16}=$$
684
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What is a line graph?
296
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Make $$S$$ the subject of the relation$\mathrm{p}=\mathrm{s}+\frac{\mathrm{sm}^{2}}{\mathrm{nr}}$
373
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Factorise completely: $$75 x-12 x^{3}$$
521
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Factorise completely: $$x-16 x^{3}$$
660
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A map is drawn to a scale of 1:75000. This scale can be expressed as $$1cm$$ respresents $$n \mathrm{~km}$$. Find $$n$$.
797
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A learner did a project on climate change At 14: 00 each day, she record ed the temperature (in $$\left.{ }^{\circ} \mathrm{C}\right)$$ for a certain town. The informatio...
832
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Express 80 as a product of primes.
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(a) Given that $$m=(6 i+8 j)$$ and $$n=\left(-8 i+\frac{7}{3} j\right)$$, find the :(i) magnitudes and direction of $$\mathrm{m}$$ and $$\mathrm{n} ;$$ (ii) angle between...
393
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Boguslawa thinks of a number.She trebles the number.She then subtracts 8 .Boguslawa's answer is 16 .What number did she think of?
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Suppose the position of an object at time $t$ is given by $f(t)=-49 t^{2} / 10+5 t+10 .$ Find a function giving the speed of the object at time $t .$ The acceleration of ...
276
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What is a linear equation?
690
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Solve the linear equation: $3(x+2)-2(1-x)=4 x+5$
369
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Solve the linear equation: $-x-7=-3 x-9$
444
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Express $b \times b \times b \times b \times b$ in exponential form:
$\dfrac{2^{2016}+2^{2017}+2^{2018}+2^{2019}}{2^{2017}+2^{2018}+2^{2019}+2^{2020}}$ is equal to
$1+\dfrac{1}{2+\dfrac{1}{3+\dfrac{1}{4}}}$ is equal to
In 2011 , Canadian federal tax rates were $0 \%$ on the first $\$ 10,527$of gross income earned,$15 \%$on the next$\$31,017,22 \%$ on the next $\$ 41,544,26 \%$on t... 365 views 1 answers Solve the linear equation$\frac{3 m}{4}+2 m=4 m-15$424 views 1 answers Solve for$x$:$9^{x+1}=27^{x}$677 views 1 answers Express$9^{x-1}+3^{2 x}$as a single power expression. 329 views 1 answers The Indiana State Police wish to estimate the average mph being traveled on the Interstate Highways, which cross the state. If the estimate is to be within$\pm 5$mph of... 942 views 0 answers Alizon is making pancakes with the same recipe requiring$\frac{3}{4}$cups of flour. She wants to make half a recipe. She estimates that a$\frac{1}{2}$cup of flour is ... 337 views 0 answers Kaymin and Shaquiel are making pancakes. One full recipe requires$\frac{3}{4}$cups of flour. They wish to double the recipe. How many cups of flour do they need? 402 views 1 answers Solve the quadratic equation$3 x^{2}+2 x-8=0\$