| Topic | Problem | Solution |
|---|---|---|
| None | 20 Show that $3 \frac{4}{7}-1 \frac{5}{8}=1 \frac… | Convert the mixed numbers into improper fractions: $\frac{25}{7} - \frac{13}{8}$ |
| None | At LaGuardia Airport for a certain nightly flight… | Given probabilities: \(P(rain) = 0.06\), \(P(delay) = 0.09\), \(P(not\ rain\ and\ on\ time) = 0.86\) |
| None | This season, the probability that the Yankees wil… | Given probabilities: P(Yankees win) = 0.51, P(Yankees score 5 or more runs) = 0.49, P(Yankees win a… |
| None | Suppose that $A$ and $B$ are points on the number… | Given that B is located at -7 and the distance between A and B is 9, we have two possible scenarios: |
| None | 1. $\left\{\begin{array}{l}2 x+y=-10 \\ x-3 y=2\e… | Multiply the first equation by 3 and the second equation by 1 to make the coefficients of y equal: … |
| None | FUTURE VALUE It is now January 1, 2018. Today you… | Calculate the future value with annual compounding: FV_a = PV_a * (1 + r_a/n_a)^(n_a*t_a) = 1000 * … |
| None | Miriam thinks of a whole number. Rounded to the n… | Find the smallest number that rounds to 750 when rounded to the nearest 10 and rounds to 700 when r… |
| None | 14. Which of the following is equal to $\left(\si… | Calculate the value of \(\left(\sin 60^{\circ} \sin 30^{\circ}\right)-\left(\cos 30^{\circ} \cos 60… |
| None | 1. What is the correct formula when considering t… | Find the correct formula for the tangent ratio of \(\angle B\): |
| None | The solution to the simultaneous equations \[ 5 x… | Multiply the first equation by 3 and the second equation by 5 to make the coefficients of y equal: … |
| None | A $5.7 \mathrm{~m}$ long ladder is leaning agains… | Use the Pythagorean theorem to find the height of the ladder on the wall: \(b^2 = c^2 - a^2\), wher… |
| None | Use a table of trigonometric values to find the a… | Given a right triangle with opposite side O = 8 and hypotenuse H = 16, we need to find the angle θ … |
| None | If $v_{1}=(1,0,3) ; v_{2}=(0,2,4) ; v_{3}=(3, x, … | Since the vectors are linearly dependent, the determinant of the matrix formed by these vectors sho… |
| None | 6. If the set $\left\{\left[\begin{array}{c}4 \\ … | Form the matrix and calculate its determinant: $\begin{vmatrix} 4 & -2 & 3 \\ 3 & 0 & a \\ 11 & -4 … |
| None | Q1. For afternoon tea, customer in a café can sel… | Calculate the probability of selecting hot chocolate: \(1 - 0.45 - 0.35 = 0.2\) |
| None | 30. You have 64 feet of fencing to enclose a rect… | Given 64 feet of fencing, let the length of the plot be L and the width be W. The equation for the … |
| None | A factory fills bottles of water. The volume of w… | Calculate the z-score for 17 ounces: \(z = \frac{17 - 16.8}{0.1} = 2\) |
| None | A bag contains red and green chips. Some of the c… | We are given $P(G) = 0.4$, $P(S) = 0.5$, and $P(G \text{ and } S) = 0.3$. We need to find $P(S \mid… |
| None | Adeline works at a doggie day care. The day care … | Calculate the probability for 7 clients who drop off their dogs 80% of the time: \(0.8^7 = 0.209715… |
| None | a) By first rounding each number to 1 significant… | Round each number to 1 significant figure: \(791 \approx 800\) and \(153 \approx 200\) |
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