統計與機率
資料分析、機率分佈、假設檢定與統計方法。
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2. as a trial, you draw one marble out of this jar without looking: blu…
E. Certain
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2. as a trial, you draw one marble out of this jar without looking: 2a …
A. Red (with the red marble icon)
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1. look at this spinner and answer the following questions: spinning a …
A. Spinning any symbol that is not a \(\boldsymbol{\text{bear}}\)
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1. look at this spinner and answer the following questions: 1b which ev…
B. Spinning a teddy bear
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1. look at this spinner and answer the following questions: 1a which tw…
A. The pig - colored sections (2 out of 10, 20% probability), B. The star - colored sections (assuming 2 out of 10, 20% probability) (Note: Based on the visual and probability cal…
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7. which of the following sets of data is approximately normally distri…
The data set represented by the lower histogram (with three bars, middle bar tallest and side bars equal) is approximately normally distributed.
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7. which of the following sets of data is approximately normally distri…
To determine which data set is approximately normally distributed, we recall the properties of a normal distribution: it is symmetric, bell - shaped, with most data around the mea…
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7. which of the following sets of data is approximately normally distri…
The data set (weight data represented by this histogram) is approximately normally distributed.
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6. which two of the following statements are true for a normal distribu…
A. The curve is symmetrical. D. There are the same number of scores above and below the mean.
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find the mean of the follwing data set: 12, 0, 8, 4, 6, 3, 7, 3, 2, 9, …
Question 3: 5.8 Question 4: 7
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5. which of these box - and - whisker plots represents data that is nor…
B. The box - and - whisker plot with relatively symmetric box and whiskers around the median (consistent with normal distribution symmetry)
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name: syncere cobbs question 1 find the mean of the follwing data set: …
Question 1: 8.3 Question 2: 6
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4. which of these curves is normally distributed?
C. The curve that is symmetric about its peak (matches the normal distribution's symmetric bell - shaped curve)
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3. a newspaper editor is deciding which of 7 articles to print on the f…
\(\frac{3}{7}\)
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3. a newspaper editor is deciding which of 7 articles to print on the f…
35
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2. a boss wants to select one group of 5 people from his 30 staff. how …
The number of different groups possible is \( \boldsymbol{142506} \) (using the combination formula \( _{30}C_5 \) we find that there are 142506 different groups).
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6. the letters of the word space are to be rearranged. 6a how many diff…
\(\frac{1}{120}\)
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6. the letters of the word space are to be rearranged. 6a how many diff…
\(\frac{1}{5}\)
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5. if there are 7 swimmers in a race, in how many different orders can …
\( 7! = 5040 \) (or directly write 5040 as the number of different orders)
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4. find the value of $^7p_1$. $^7p_1 = $ enter your next step here
\( 7 \)
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3. simplify \\(\frac{7!}{5!}\\) = enter your next step here
\( 42 \)
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tuesday, 1/13 scatterplot table this scatter plot shows the number of h…
31 ### Second Sub - Question: How many was he predicted to have?
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2. a student is choosing two units to study at university: a language a…
\(\frac{1}{5}\)
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2. a student is choosing two units to study at university: a language a…
40
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1. an individual is chosen from the group. according to the venn diagra…
The correct probability that a person who walks also runs is \( \frac{9}{17} \) (the initial expression \( \frac{9}{9 + 8} \) is correct in form, and when simplified, \( 9+8 = 17 …
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monday, 1/12 beach visitors a. explain why the correlation between temp…
As temperature increases, the number of beach visitors generally increases (points trend up left - to - right), so the correlation is positive. ### Part B
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1. an individual is chosen from the group. according to the venn diagra…
\(\frac{5}{17}\) (assuming the intersection is 5, but based on typical Venn problem with total 21, walkers 17, intersection 5) Wait, but maybe the actual intersection is different…
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1. an individual is chosen from the group. according to the venn diagra…
\(\frac{17}{24}\)
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7. this venn diagram shows the results of a survey identifying what col…
The probability is \(\frac{2}{3}\) (or \(\frac{9 + 7}{24}\) which simplifies to \(\frac{2}{3}\)). The reasoning is: We need children who like blue or yellow but not both, so we su…
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determine the meaning of the underlined words based on how they are use…
s (Meanings): 1. Rude, ill - mannered 2. Heavy, oppressive 3. Excessive, unreasonable 4. Enthusiasm, liveliness 5. Unnoticeably 6. Abandon, give up 7. Allow oneself to enjoy
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12.7 quiz analyze the declaration read this excerpt about the king’s ac…
D. Repeating "He has" followed by a negative noun highlights that the (complete intended meaning: king has committed a pattern of unjust, harmful acts, strengthening the argument …
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7. this venn diagram shows the results of a survey identifying what col…
\(\frac{1}{4}\)
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7. this venn diagram shows the results of a survey identifying what col…
\(\frac{1}{8}\)
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7. this venn diagram shows the results of a survey identifying what col…
Depends on the Venn diagram data. For example, if \( n(\text{blue} \cap \text{yellow}) = 2 \) and \( N = 20 \), then \(\boldsymbol{\frac{1}{10}}\) (or other value based on diagram…
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6. a standard six - sided die is rolled. 6a list all the even numbers t…
2, 3, 5
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6a list all the even numbers that can be rolled, in ascending order:
2, 4, 6
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5. given a standard deck of playing cards, which of the following event…
B. Selecting a 5, D. Selecting a queen
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3. from a set of 10 cards numbered 1 to 10, two cards are drawn at rand…
\(\frac{5}{9}\)
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3. from a set of 10 cards numbered 1 to 10, two cards are drawn at rand…
\(\frac{2}{9}\)
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2d use the tree diagram to find the probability of getting no heads. = …
\(\frac{1}{2}\)
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2c use the tree diagram to find the probability of getting 2 heads. = \…
\(\frac{1}{4}\)
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2b use the tree diagram to find the probability of getting exactly 1 he…
$\frac{1}{4}$
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2. a coin is tossed twice. 2a construct a tree diagram showing the resu…
The tree diagram starts with the first toss (H or T). From each first - toss outcome, there are two second - toss outcomes (H or T). The outcomes are HH, HT, TH, TT. (A visual tre…
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1. an archer makes two attempts to hit a target, and the probability th…
\(\frac{3}{4}\)
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7. in a music school of 124 students, 82 students play the piano, 71 st…
The probability is \(\frac{5}{62}\) (or approximately \(0.0806\)).
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answer the questions below to determine what kind of function is depict…
This function is an exponential function because the ratio of consecutive output values (for equally spaced input values) is a constant 4, which is the defining characteristic of …
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the two spinners above are spun. what is the probability of getting a p…
# Explanation: ## Step1: Find prime numbers on first spinner First spinner has numbers 1 - 16. Prime numbers: 2, 3, 5, 7, 11, 13. Count: 6? Wait, wait, let's list: 2 (prime), 3 (p…
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7. in a music school of 124 students, 82 students play the piano, 71 st…
\(\frac{57}{62}\)
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find the equation of the exponential function represented by the table …
$y = 0.02(4)^x$
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7. in a music school of 124 students, 82 students play the piano, 71 st…
\(\frac{39}{124}\)
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7. in a music school of 124 students, 82 students play the piano, 71 st…
\(A = 10\) \(B = 39\) \(C = 43\) \(D = 32\)
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in this excerpt from the poem \thanatopsis\ by william cullen bryant, w…
C. a young shepherd or country boy
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find the equation of the exponential function represented by the table …
$y = 4^x$
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6. a bag contains 82 marbles, some of which are black and some of which…
28
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select all the correct words in the passage. what two words or phrases …
shudder, grow sick at heart
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6. a bag contains 82 marbles, some of which are black and some of which…
54
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5. ursula surveys her classmates to find out what sport they will parti…
A. The Venn diagram where the entire baseball circle and entire tennis circle (including their overlaps) are shaded.
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4. using the venn diagram shown, find: explain probability = \\(\\frac{…
\(\frac{8}{31}\)
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4. using the venn diagram shown, find: 4c ( p(a \text{ or } b) ) probab…
\(\frac{23}{31}\)
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which of the contexts below represents linear growth? answer an amuseme…
Snow was melting at a rate of 2.5 inches per hour.
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which of the contexts below represents linear growth? answer an elevato…
Victoria puts $30 a month into a savings account.
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4. using the venn diagram shown, find: 4a ( p(a \text{ but not } b) ) p…
\(\boxed{\dfrac{5}{31}}\)
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4. using the venn diagram shown, find: 4a ( p(a \text{ but not } b) ) p…
\(\frac{6}{31}\)
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3. miss pine recorded the hair type and color of her students in the fo…
To complete the two - way table, we first need to extract the number of students with different hair colors (Red, Brown, Blonde, Black) and different hair types (Straight, Curly) …
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the approximate number of zombies in a certain city over time is given …
Exponential function would better model the data because as $x$ increases, the $y$ values change by an approximately constant multiplicative factor. Rounded to the nearest .5, the…
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2. this table describes the departures of flights out of an airport for…
\(75.1\%\)
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2. this table describes the departures of flights out of an airport for…
To solve part 2b, we need to assume we have the number of on - time flights in June (\(O_{June}\)) and the total number of flights in both June and July (\(T_{total}\)). Let's ass…
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is im2a unit 5 task 20 2. this table describes the departures of flight…
\(\frac{37}{100}\) (or the correct fraction depending on the table data)
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2. this table describes the departures of flights out of an airport for…
\(\frac{152}{407}\) (or approximately \(\frac{29}{79}\) or \(\frac{152}{407}\approx0.37\) depending on the actual table values; if we take the common numbers, the fraction is \(\f…
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the value of a certain investment over time is given in the table below…
Linear function would better model the data because as $x$ increases, the $y$ values change by a constant amount. The common difference of this function is approximately 4477.50.
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2. this table describes the departures of flights out of an airport for…
To solve this, we need the number of on - time flights in June and the total number of flights in both June and July. Since the table is not fully visible, we assume typical data …
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is im2a unit 5 task 20 2. this table describes the departures of flight…
(To get the actual answer, you need to: 1. Find the number of on - time flights in June (let's call this value \( A \)). 2. Find the total number of flights in June (let's call th…
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determine if the function below is linear or exponential then fill in t…
The function is **exponential** because as $x$ increases, the $y$ values change by a constant multiplicative factor. The common ratio of this function is exactly $\boldsymbol{3}$.
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13 \\(\\frac{42}{63}=\\underline{\\quad\\quad}=\\)\ 15 \\(\\frac{60}{75…
$\frac{2}{3}$ ### Problem 15: Simplify $\boldsymbol{\frac{60}{75}}$
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2. this table describes the departures of flights out of an airport for…
$\frac{19}{50}$ (or 0.38) (Note: The answer depends on the actual number of on - time flights in June, which is not fully shown in the problem. The above is based on a common assu…
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2. this table describes the departures of flights out of an airport for…
\(24.9\%\)
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1. a biased coin is flipped, with heads and tails as possible outcomes.…
\( 0.41 \)
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7c is the probability of each successive ball drawn the same as the pro…
A. Dependent
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7. in a lottery there are 44 balls. 7a what is the probability of a par…
B. No
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7. in a lottery there are 44 balls. 7a what is the probability of a par…
\(\frac{1}{43}\)
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7. in a lottery there are 44 balls. 7a what is the probability of a par…
$\frac{1}{44}$
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6. a teacher has a \prize bag\ filled with different prizes. the studen…
A. Dependent
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5. a coin is tossed and lands on heads. will this affect the chances of…
A. No
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4. nadia owns 7 red shirts and 7 blue shirts. she randomly chooses a sh…
A. Yes
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4. nadia owns 7 red shirts and 7 blue shirts. she randomly chooses a sh…
B. Yes
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3. a single marble is drawn from a jar containing 20 marbles, as shown …
60%
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is im2a unit 5 task 19 3 a single marble is drawn from a jar containing…
35% ### 3b Solution:
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3. a single marble is drawn from a jar containing 20 marbles, as shown …
65%
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3a what is the probability of drawing a blue marble? express your answe…
80%
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3. a single marble is drawn from a jar containing 20 marbles, as shown …
45%
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3. a single marble is drawn from a jar containing 20 marbles, as shown …
35%
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3. a single marble is drawn from a jar containing 20 marbles, as shown …
40%
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fraction/decimal/% 2/3 0.45 13.5%
1. $\frac{2}{3}$: $\approx 0.667$, $\approx 66.7\%$ 2. $0.45$: $\frac{9}{20}$, $45\%$ 3. $13.5\%$: $\frac{27}{200}$, $0.135$
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read the excerpt from act 3, scene 1, of julius caesar antony. o mighty…
- "If I myself, there is no hour so fit / As Caesar's death hour, nor no instrument / Of half that worth as those your swords" - "Live a thousand years, / I shall not find myself …
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express the interval shown on the number line in interval notation. ans…
$[0, 2]$
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find the mean and median for each data set. is there an outlier? if so …
### For question 5: Outlier: 3,800,000 Mean with outlier: 1,000,000 Median with outlier: 400,000 Mean without outlier: 430,000 Median without outlier: 400,000 Mean effect: The out…
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read the excerpt from julius caesar, act 2, scene 1. decius. shall no m…
Mark Antony's life will be spared because he will be useless without Caesar.
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read the excerpt from act 2, scene 1, of julius caesar. casca. let us n…
A. Casca firmly reverses his position about including Cicero, as if he hadn't been the one to suggest it in the first place. C. Casca thinks he is making important decisions when …
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\\(\\frac{1}{7} + \\frac{3}{7} = \\frac{\\quad}{\\quad}\\)
\(\frac{4}{7}\)
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\\(\\dfrac{1}{7} + \\dfrac{3}{7} = \\dfrac{\\quad\\quad}{\\quad\\quad}\…
\(\frac{4}{7}\)