Gr 11 Math Term 3 Test

<p>Quadrant II</p> Signup and view all the answers

<p>To find the area of a triangle.</p> Signup and view all the answers

<p>When three sides are given.</p> Signup and view all the answers

<p>The sine rule is used for two sides and an angle, while the cosine rule is used for three sides or two sides and the included angle.</p> Signup and view all the answers

<p>To determine the signs of trigonometric functions in different quadrants.</p> Signup and view all the answers

<p>Sum the values from each period</p> Signup and view all the answers

<p>1 + i_effective = (1 + i_nominal/m)^m</p> Signup and view all the answers

<p>P(A and B) = P(A) * P(B)</p> Signup and view all the answers

<p>P(A|B) = P(A and B) / P(B)</p> Signup and view all the answers

<p>Events that cannot occur simultaneously</p> Signup and view all the answers

<p>To visualize and organize the possible outcomes of events</p> Signup and view all the answers

<p>The set of outcomes that are in both events A and B</p> Signup and view all the answers

<p>To visualize and organize the possible outcomes of a sequence of events</p> Signup and view all the answers

<p>A possible outcome of an event</p> Signup and view all the answers

<p>A level in the tree representing a stage in the sequence of events</p> Signup and view all the answers

<p>A = P(1 - in)</p> Signup and view all the answers

<p>Simple depreciation calculates depreciation on the initial principal amount, while compound depreciation calculates it on the remaining value.</p> Signup and view all the answers

<p>To visualize the periods and changes in compounding and interest rates over the term of the investment or loan.</p> Signup and view all the answers

<p>A = P(1 + i/n)^(np)</p> Signup and view all the answers

<p>Linear</p> Signup and view all the answers

<p>Rearranging the formula to solve for i.</p> Signup and view all the answers

<p>A = P(1 + i/np)^(np)</p> Signup and view all the answers

<p>It decreases as the asset's value decreases.</p> Signup and view all the answers

<p>To calculate the accumulated value at the end of each segment and adjust the principal for the next period accordingly.</p> Signup and view all the answers

<p>θ = sin^(-1)(x) + k · 360°</p> Signup and view all the answers

<p>P(A and B) = P(A) × P(B)</p> Signup and view all the answers

<p>Outcomes of the first event</p> Signup and view all the answers

<p>To test for independence between events</p> Signup and view all the answers

<p>P(A) = n(A) / n(Total)</p> Signup and view all the answers

<p>No gaps between the bars unless a class interval has a frequency of zero</p> Signup and view all the answers

<p>To visualize the frequency distribution of continuous data</p> Signup and view all the answers

<p>P(A|B) = P(A and B) / P(B)</p> Signup and view all the answers

<p>To calculate the probability of a specific sequence of events</p> Signup and view all the answers

<p>P(A and B) = P(A) × P(B|A)</p> Signup and view all the answers

<p>The height of each bar</p> Signup and view all the answers

<p>The data points are spread out over a wide range of values.</p> Signup and view all the answers

<p>To measure the spread of the data.</p> Signup and view all the answers

<p>The left and right tails are balanced.</p> Signup and view all the answers

<p>$\sqrt{rac{\sum_{i=1}^{n} (x_i - ar{x})^2}{n}}$</p> Signup and view all the answers

<p>To visualize the distribution of a dataset.</p> Signup and view all the answers

<p>By subtracting the first quartile (Q1) from the third quartile (Q3).</p> Signup and view all the answers

<p>A data value that is significantly deviates from the other values in a dataset.</p> Signup and view all the answers

<p>$Q3 + 1.5 imes IQR$</p> Signup and view all the answers

<p>To show relationships between two variables.</p> Signup and view all the answers

<p>The mean is greater than the median.</p> Signup and view all the answers

<p>To represent the data in a more visual format</p> Signup and view all the answers

<p>CF_i = Σf_j</p> Signup and view all the answers

<p>To find the median, quartiles, and percentiles of a data set</p> Signup and view all the answers

<p>The average of the squared differences from the mean</p> Signup and view all the answers

<p>It has the same units as the original data</p> Signup and view all the answers

<p>σ = √(Σ(x_i - x̄)² / n)</p> Signup and view all the answers

<p>To find the median of a data set</p> Signup and view all the answers

<p>The ratio of the frequency of an event to the total number of observations</p> Signup and view all the answers

<p>To construct an ogive</p> Signup and view all the answers

<p>A range of values in a data set divided into intervals of equal length</p> Signup and view all the answers

<p>The Area Rule is used for solving triangles when we know two sides and the included angle, while the Sine Rule is used for solving triangles when we know two sides and a non-included angle.</p> Signup and view all the answers

<p>Quadrant IV (270° to 360°)</p> Signup and view all the answers

<p>a^2 = b^2 + c^2 - 2bc cos A</p> Signup and view all the answers

<p>When no perpendicular height is given.</p> Signup and view all the answers

<p>To show the signs of trigonometric functions in different quadrants.</p> Signup and view all the answers

<p>Because it can be used to find the length of a side when we know two sides and a non-included angle.</p> Signup and view all the answers

<p>Area = 1/2 ab sin C</p> Signup and view all the answers

<p>When we know two sides and the included angle.</p> Signup and view all the answers

<p>To find the annual depreciation rate</p> Signup and view all the answers

<p>It decreases over time</p> Signup and view all the answers

<p>To visualize the periods and changes in compounding and interest rates</p> Signup and view all the answers

<p>A = P(1 + i/n)^(np)</p> Signup and view all the answers

<p>The relationship involves solving an exponential equation</p> Signup and view all the answers

<p>To adjust for changes in interest rates or additional deposits/withdrawals</p> Signup and view all the answers

<p>θ = sin^(-1)(x) + k ⋅ 360°</p> Signup and view all the answers

<p>To visualize the periods and changes in depreciation rates</p> Signup and view all the answers

<p>A = P(1 - in)</p> Signup and view all the answers

<p>To visualize the periods and changes in compounding and interest rates</p> Signup and view all the answers

<p>Sum the values from each period</p> Signup and view all the answers

<p>A = P(1 + in)</p> Signup and view all the answers

<p>Two events that cannot occur simultaneously</p> Signup and view all the answers

<p>To visualize the probability of two or more events</p> Signup and view all the answers

<p>A = P(1 + i/n)^(n*t)</p> Signup and view all the answers

<p>The set of outcomes that are in both events</p> Signup and view all the answers

<p>To visualize the probability of multiple events</p> Signup and view all the answers

<p>A possible outcome of an event</p> Signup and view all the answers

<p>1 + i_effective = (1 + i_nominal/m)^m</p> Signup and view all the answers

<p>P(A and B) = P(A) × P(B)</p> Signup and view all the answers

<p>The product of the probabilities of each event</p> Signup and view all the answers

<p>To test for independence between two events</p> Signup and view all the answers

<p>P(A) = n(A) / n(Total)</p> Signup and view all the answers

<p>There are no gaps between the bars</p> Signup and view all the answers

<p>P(A|B) = n(A and B) / n(B)</p> Signup and view all the answers

<p>To show the frequency distribution of a dataset</p> Signup and view all the answers

<p>P(A and B) = P(A) × P(B)</p> Signup and view all the answers

<p>To show the probability of multiple dependent events</p> Signup and view all the answers

<p>The height of the bar</p> Signup and view all the answers

<p>P(A and B) = P(A) × P(B|A)</p> Signup and view all the answers

<p>Relative Frequency</p> Signup and view all the answers

<p>To represent the frequency of each class interval</p> Signup and view all the answers

<p>CF_i = ∑_(j=1)^i f_j</p> Signup and view all the answers

<p>The data points are spread out from the mean</p> Signup and view all the answers

<p>To measure the spread of the data around the mean</p> Signup and view all the answers

<p>σ = √(∑_(i=1)^n (x_i - x̄)^2 / n)</p> Signup and view all the answers

<p>To plot the cumulative frequency of a dataset</p> Signup and view all the answers

<p>Locate the 50th percentile on the cumulative frequency axis</p> Signup and view all the answers

<p>To visualize the distribution of a dataset</p> Signup and view all the answers

<p>The bars are of equal width</p> Signup and view all the answers

<p>To measure the spread of the dataset from the mean</p> Signup and view all the answers

<p>The mean is approximately equal to the median</p> Signup and view all the answers

<p>σ = √(Σ(x_i - x̄)^2 / n)</p> Signup and view all the answers

<p>To visualize the distribution of a dataset</p> Signup and view all the answers

<p>The mean is greater than the median</p> Signup and view all the answers

<p>IQR = Q3 - Q1</p> Signup and view all the answers

<p>Upper Boundary = Q3 + 1.5 × IQR</p> Signup and view all the answers

<p>To show the relationship between two variables</p> Signup and view all the answers

<p>A data value that is significantly deviates from the other values in the dataset</p> Signup and view all the answers

<p>To measure the spread of the dataset from the mean</p> Signup and view all the answers

<p>The Area Rule is used when the height of the triangle is known, while the Sine Rule is used when the height is unknown.</p> Signup and view all the answers

<p>To determine the signs of trigonometric functions in different quadrants.</p> Signup and view all the answers

<p>Two sides and the included angle are given.</p> Signup and view all the answers

<p>It allows us to find multiple solutions to the equation.</p> Signup and view all the answers

<p>arcsin</p> Signup and view all the answers

<p>When two angles and a side are given.</p> Signup and view all the answers

<p>A = P(1 - i)^n</p> Signup and view all the answers

<p>No perpendicular height is given.</p> Signup and view all the answers

<p>To visualize the periods and changes in compounding and interest rates</p> Signup and view all the answers

<p>The Area Rule formula is a rearrangement of the Sine Rule formula.</p> Signup and view all the answers

<p>To determine the relationships between the sides and angles of a triangle.</p> Signup and view all the answers

<p>The relationship involves solving an exponential equation</p> Signup and view all the answers

<p>A = P(1 + rac{i}{p})^{np}</p> Signup and view all the answers

<p>It decreases as the asset's value decreases</p> Signup and view all the answers

<p>To adjust the principal for changes in interest rates or additional transactions</p> Signup and view all the answers

<p>θ = tan^(-1)x + k ⋅ 180°</p> Signup and view all the answers

<p>Simple depreciation reduces the value of an asset by a constant amount each year, while compound depreciation calculates depreciation on the remaining value of the asset each year</p> Signup and view all the answers

<p>To visualize the periods and changes in compounding and interest rates over the term of the investment or loan</p> Signup and view all the answers

<p>Independent events have no effect on each other, while dependent events do</p> Signup and view all the answers

<p>The outcomes of the second event, given the outcomes of the first event</p> Signup and view all the answers

<p>To test for independence between two events</p> Signup and view all the answers

<p>P(A and B) = P(A) × P(B)</p> Signup and view all the answers

<p>Bars are not separated by gaps, unless a class interval has a frequency of zero</p> Signup and view all the answers

<p>P(A|B) = P(A and B) / P(B)</p> Signup and view all the answers

<p>To display the frequency distribution of a dataset</p> Signup and view all the answers

<p>P(A) = n(A) / n(Total)</p> Signup and view all the answers

<p>The probability of each event is dependent on the previous events</p> Signup and view all the answers

<p>To test for independence between two events</p> Signup and view all the answers

<p>$141.75</p> Signup and view all the answers

<p>0.28</p> Signup and view all the answers

<p>6.14%</p> Signup and view all the answers

<p>A'</p> Signup and view all the answers

<p>P(A) × P(B) × P(C)</p> Signup and view all the answers

<p>To organize and visualize the different possible outcomes of a sequence of events</p> Signup and view all the answers

<p>A = P(1 - 0.10)^5</p> Signup and view all the answers

<p>0.67</p> Signup and view all the answers

<p>A = P(1 + i/n)^(n×m)</p> Signup and view all the answers

<p>A ∩ B</p> Signup and view all the answers

<p>To quantify the amount of variation in the data</p> Signup and view all the answers

<p>Right-skewed distribution</p> Signup and view all the answers

<p>Q1 - 1.5 × IQR</p> Signup and view all the answers

<p>To show the relationship between two variables</p> Signup and view all the answers

<p>Mean is approximately equal to the median</p> Signup and view all the answers

<p>√(Σ(xi - x̄)^2 / n)</p> Signup and view all the answers

<p>To compare the distribution of two or more variables</p> Signup and view all the answers

<p>Q3 - Q1</p> Signup and view all the answers

<p>Mean is less than the median</p> Signup and view all the answers

<p>To summarize the distribution of the dataset</p> Signup and view all the answers

<p>To create a visual representation of the frequency distribution</p> Signup and view all the answers

<p>The standard deviation is the square of the variance</p> Signup and view all the answers

<p>The relative frequency is the ratio of the frequency to the total number of observations, while the cumulative frequency is the sum of the relative frequencies</p> Signup and view all the answers

<p>To identify the middle value of the data</p> Signup and view all the answers

<p>σ^2 = (Σ(x_i - x̄)^2) / n</p> Signup and view all the answers

<p>To visualize the cumulative frequency distribution</p> Signup and view all the answers

<p>The data points are close to the mean</p> Signup and view all the answers

<p>CF_i = f_i + CF_(i-1)</p> Signup and view all the answers

<p>To understand the distribution of the data</p> Signup and view all the answers

<p>A histogram is a bar graph, while a frequency polygon is a line graph</p> Signup and view all the answers

<p>θ = 180^° - cos^(-1) x + k · 360^°</p> Signup and view all the answers

<p>$729</p> Signup and view all the answers

<p>One formula is linear and the other is exponential.</p> Signup and view all the answers

<p>$7948.72</p> Signup and view all the answers

<p>To visualize the compounding periods and interest rates.</p> Signup and view all the answers

<p>i = (A/P)^(1/n) - 1</p> Signup and view all the answers

<p>The relationship involves solving an exponential equation.</p> Signup and view all the answers

<p>It decreases exponentially.</p> Signup and view all the answers

<p>To adjust for changes in interest rates or additional transactions.</p> Signup and view all the answers

<p>θ = tan^(-1) x + k · 180^°</p> Signup and view all the answers

<p>The sum of the values from each period</p> Signup and view all the answers

<p>One is used for finding the area of a triangle and the other is used for finding the lengths of sides</p> Signup and view all the answers

<p>The nominal interest rate is equal to the effective interest rate when compounded annually</p> Signup and view all the answers

<p>When three sides are given</p> Signup and view all the answers

<p>Drawing a card from a deck and drawing another card from the same deck</p> Signup and view all the answers

<p>P(A | B) = P(A ∩ B) / P(B)</p> Signup and view all the answers

<p>Quadrant IV</p> Signup and view all the answers

<p>To determine the sign of a trigonometric function in a quadrant</p> Signup and view all the answers

<p>Heads and tails on a coin flip</p> Signup and view all the answers

<p>To visualize the relationships between events</p> Signup and view all the answers

<p>When two angles and a side are given</p> Signup and view all the answers

<p>P(A and B) = P(A) × P(B)</p> Signup and view all the answers

<p>One is used when two sides and the included angle are given, and the other is used when two sides and a non-included angle are given</p> Signup and view all the answers

<p>To find the area of a triangle</p> Signup and view all the answers

<p>A stage in the sequence of events</p> Signup and view all the answers

<p>1 + i-effective = (1 + i-nominal / m)^m</p> Signup and view all the answers

<p>Quadrant III</p> Signup and view all the answers

<p>To organize and visualize the different possible outcomes of a sequence of events</p> Signup and view all the answers

<p>The probability of one event is affected by the occurrence of the other</p> Signup and view all the answers

<p>To visualize the relationship between two categorical variables</p> Signup and view all the answers

<p>P(Path) = P(Event 1) × P(Event 2) × ...</p> Signup and view all the answers

<p>A histogram does not have gaps between the bars, while a bar graph does</p> Signup and view all the answers

<p>P(A|B) = P(A and B) / P(B)</p> Signup and view all the answers

<p>To show the distribution of a set of continuous data</p> Signup and view all the answers

<p>P(A) = n(A) / n(Total)</p> Signup and view all the answers

<p>To visualize the probability of different outcomes in a multi-stage experiment</p> Signup and view all the answers

<p>P(A and B) = P(A) × P(B|A)</p> Signup and view all the answers

<p>The height of the bar</p> Signup and view all the answers

<p>To visualize the distribution of data</p> Signup and view all the answers

<p>Standard deviation is the square root of the variance</p> Signup and view all the answers

<p>To determine the percentile of a specific data value</p> Signup and view all the answers

<p>The data points are close to the mean</p> Signup and view all the answers

<p>To visualize the distribution of data</p> Signup and view all the answers

<p>$\sigma^2 = rac{\sum_{i=1}^{n} (x_i - ar{x})^2}{n}$</p> Signup and view all the answers

<p>To compare the frequency of different classes</p> Signup and view all the answers

<p>The data points are highly spread out</p> Signup and view all the answers

<p>To visualize the distribution of data</p> Signup and view all the answers

<p>$CF_i = \sum_{j=1}^{i} f_j + CF_{i-1}$</p> Signup and view all the answers

<p>To quantify the spread or dispersion of the dataset</p> Signup and view all the answers

<p>18</p> Signup and view all the answers

<p>The median is closer to the first quartile in a right-skewed distribution</p> Signup and view all the answers

<p>To identify the presence of outliers in the dataset</p> Signup and view all the answers

<p>It provides a visual representation of the dataset's distribution</p> Signup and view all the answers

<p>The left tail is longer than the right tail</p> Signup and view all the answers

<p>To show the relationship between the two variables</p> Signup and view all the answers

<p>σ^2 = (∑(x_i - μ)^2) / n</p> Signup and view all the answers

<p>The left and right tails are balanced</p> Signup and view all the answers

<p>To quantify the spread or dispersion of the dataset</p> Signup and view all the answers