| Topic | Problem | Solution |
|---|---|---|
| None | The circumference of a circle varies directly wit… | The relationship between the circumference and diameter of a circle is given by the formula \(C = \… |
| None | The amount of water used to make pancakes varies … | This is a problem of direct variation. In direct variation, the ratio between two quantities remain… |
| None | Suppose $y$ varies inversely with $x$, and $y=39$… | The problem states that \(y\) varies inversely with \(x\). This means that the product of \(y\) and… |
| None | Solve the equation $6 x^{2}+25 x-25=0$ by complet… | First, we rewrite the equation $6 x^{2}+25 x-25=0$ in the form $(x+D)^{2}=E$ by completing the squa… |
| None | In a normal distribution where $\mu=180$ and $\si… | The problem is asking for the value of \(x\) such that the area to the right of \(x\) under the nor… |
| None | \( \frac{r}{4}=\frac{r}{s} \) | \( 4 = s \) |
| None | 140 students at a college were asked whether they… | Given that 140 students at a college were asked whether they had completed their required English 1… |
| None | Write $\sqrt{-38}$ as an imaginary number involvi… | The square root of a negative number can be written as an imaginary number. The square root of -1 i… |
| None | This problem uses the Richter scale for the stren… | Given two Richter scale ratings, 7.9 and 5.1. |
| None | A random variable $\mathrm{x}$ is normally distri… | First, we need to standardize the random variable $x$ by subtracting the mean $\mu$ and dividing by… |
| None | The magnitude of an earthquake is measured relati… | The magnitude of an earthquake is measured relative to the strength of a 'standard' earthquake, who… |
| None | Find the last term to make the trinomial into a p… | The trinomial is a perfect square if it is in the form of \((ax+b)^2\). Expanding this, we get \(a^… |
| None | There is a jar containing 100 marbles: 40 of the … | The problem is asking for the probability that the first black marble is drawn on the 4th attempt. … |
| None | WITHOUT a calculator, identify VERTEX form, GENER… | The given equation is already in the vertex form which is $y=a(x-h)^2+k$, where $(h,k)$ is the vert… |
| None | The system has no solution. The system has a uniq… | The given system of equations is: \(-x + 4y = -8\) and \(x - 4y = -8\) |
| None | The Gray family and the Wright family each used t… | Let's denote the water output rate of the Gray family's sprinkler as G and the water output rate of… |
| None | Foot Lo... E Champs... Online... DeVry S... Initi… | Distribute -2 on the left side of the equation to get \(-16u + 16\) and distribute 6 on the right s… |
| None | A poll of 2997 U.S. adults found that $74 \%$ reg… | First, we calculate the standard error using the formula \(\sqrt{\frac{p(1-p)}{n}}\), where \(p\) i… |
| None | A store is having a sale on almonds and jelly bea… | Let's denote the cost of almonds per pound as 'a' and the cost of jelly beans per pound as 'j'. |
| None | In California, the average number of potholes in … | This problem is about the Poisson distribution, which gives the probability of a given number of ev… |
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