Statistics & Probability
Data analysis, probability distributions, hypothesis testing, and statistical methods.
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for questions #1-3, use the agrarian barter system as shown below. show…
\(20\) pigs ### Question 2
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use for questions 7-9: mischa recorded the battery life of her laptop e…
7. -10 percent per hour 8. -20 percent per hour 9. -20 percent per hour
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use for questions 4-6: the table below shows the average price of a gal…
4. $\approx 0.12$ dollars per year 5. $0.135$ dollars per year 6. $\approx -0.40$ dollars per year
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5.2 time and temperature the graph shows the temperature between noon a…
1. It is warmer at 9:00 p.m. 2. The temperature is highest at approximately 5:00 p.m. 3. The temperature is the same as at 4:00 p.m. at approximately 7:00 p.m. 4. The temperature …
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unit 5, lesson 5 more graphs of functions lets interpret graphs of func…
The three that go together are A, C, and D. They are all graphs of functions (each x-value maps to exactly one y-value), while B does not represent a function.
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period ______ date ______ frequency table fill in the table below based…
### Part 1: Filling the Frequency Table # Explanation: ## Step1: List the data The data is: \(1, 5, 10, 1, 5, 10, 1, 15, 20, 15, 20, 12, 19\) ## Step2: Count for 1 - 4 Numbers in …
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in this activity you will be exploring domain and range. by using the v…
Domain is all the possible x - values of a function, and range is all the possible y - values of a function.
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answer the question below. view the rubric linked above for help if nee…
- Meaning of roll calls in Congress: Roll calls in Congress are procedures to record each member's vote by name, creating a public record of how legislators voted on specific issu…
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what is the symbolic meaning of ight coming tenderly / black like me\ i…
It connects the peace of night with pride in Black identity
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12 which of the following values is a solution of ( k leq 12 )? lets tr…
A. \( k = 11\frac{5}{6} \)
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12. which of the following values is a solution of ( k leq 13 )? ( k = …
\( k = 13 \)
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exercise 2 (answers on page 41) find the number that belongs in the spa…
1) $5$ 2) $10$ 3) $10$ 4) $9$ 5) $8$ 6) $15$ 7) $1$ 8) $3$ 9) $4$ 10) $1$ 11) $1$ 12) $1$ 13) $10$ 14) $1$ 15) $2$ 16) $3$ 17) $8$ 18) $10$ 19) $1$ 20) $1$ 21) $1$
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question 6 (2 points) what does it mean to interpret something? record …
1. To interpret something means to analyze a subject (text, event, etc.), draw on context and prior knowledge, and assign or explain its explicit or implied meaning, making it und…
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write two numbers that multiply to the value on top and add to the valu…
-6 and -9
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to analyze a text means to... a explain the meaning of something b make…
1. c. examine something closely 2. True 3. b. show how things are different
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conclusion how can you use probability to help you determine whether a …
To determine if a game of chance is fair, you can calculate the probability of each player (or outcome) occurring. A game is fair if the probabilities of all players winning (or r…
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click on the cell with each outcome. use the paint bucket tool to color…
To solve these questions, we need the details of Game C (e.g., the possible outcomes, how Player 1 and Player 2 win). Since the game's specific rules/outcomes aren't provided here…
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$\\frac{1}{10} < \\frac{\\square}{4}$
\(1\)
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1. the sample space for game c is partially filled out. finish writing …
### Part 1: Completing the Sample Space To complete the sample space, we calculate the product of the numbers on Cube 1 and Cube 2 for each cell. The formula for each outcome is \…
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sum that has the highest probability of occurring when two dice are rol…
\(\frac{6}{36}\) (or \(\frac{1}{6}\))
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c. is this game fair? explain your answer. (___ / 2 points) d. what is …
7 ### Part d (Second Sub - Question: Probability of that Sum)
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how do you show division using fractions? study the example problem sho…
1. 1 whole bag(s) 1 one-half bag(s) 2. $1\frac{1}{2}$ bags 3. $\frac{9}{8}$ yards
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2. for each outcome, decide if player 1 wins or if player 2 wins. click…
s (Using Example Assumptions): a. \( \boldsymbol{\frac{1}{2}} \) b. \( \boldsymbol{\frac{1}{2}} \) c. Yes, because the probability of Player 1 winning equals the probability of Pl…
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7. each year, a volunteer organization expects to add 5 more people for…
The explicit formula is \(a_n = 5n+27\) (where \(n\) is the number of years from now, \(n = 1\) for this year) ### Part (b)
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question 8 the article states: \it can be used to manage our water need…
A. renewal or refreshment
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1. the sample space for game b is partially filled out. finish writing …
To complete the sample space, each cell \((\text{Cube 1}, \text{Cube 2})\) is filled with \(\text{Cube 1} + \text{Cube 2}\). Here are the missing values: - **Cube 1 = 2 row**: - (…
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2. answer the questions for game a: a. what is the probability of playe…
No, the game is not fair. Player 1 has a $\frac{1}{4}$ chance of winning, while Player 2 has a $\frac{1}{2}$ chance of winning. Since their winning probabilities are not equal, th…
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2. answer the questions for game a: a. what is the probability of playe…
s: a. \( \frac{1}{4} \) b. \( \frac{1}{2} \) c. \( \frac{1}{4} \) d. No, the game is not fair. Player 1 has a \( \frac{1}{4} \) chance to win, and Player 2 has a \( \frac{1}{2} \)…
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game a start with two coins. each player tosses a coin. - if two heads …
- Tails / Heads: Player 2 wins - Tails / Tails: Play Again
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2. answer the questions for game a: a. what is the probability of playe…
$\frac{1}{4}$ ### Part b
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m2a performance task 3: probability investigation objective use probabi…
- **Sample Space**: The set of all possible outcomes of a random experiment. - **Probability**: A measure of the likelihood of an event occurring, calculated as $\frac{\text{Numbe…
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15 im2a unit 5 test 15. which of these histograms is approximately norm…
A (assuming the first histogram is option A, with the symmetric, bell - shaped distribution of scores)
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14 a pizza shop offers eight different toppings of pizza. grace chooses…
28
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to make lasagna, 4 tablespoons of cheese are needed per serving. what d…
x represents the number of servings y represents the tablespoons of cheese
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13. evaluate \\(\frac{_8c_4}{_8c_5}\\). \\(\frac{_8c_4}{_8c_5} = \\) en…
\(\frac{5}{4}\)
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does this show a proportional relationship between the number of weeks …
No
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12. find the value of $^7p_1$. $^7p_1 = $ enter your next step here
\( 7 \)
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11. five cards have different letters written on them. the letters are …
120 (corresponding to the option with "120")
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is im2a unit 5 test 10. the following spinner is spun and a normal six …
### 10c Explanation (Probability - Conditional Probability) #### Step 1: Define Events Let \( A \) be the event that a 6 was rolled, and \( B \) be the event that the product is g…
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10. the following spinner is spun and a normal six - sided die is rolle…
\(\frac{3}{10}\) (Explanation as above: Using conditional probability, we find the number of favorable outcomes where a 6 was rolled and the product is greater than 10, then divid…
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roy starts with $120 in his bank account. he takes out $15 each week to…
No
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10. the following spinner is spun and a normal six - sided die is rolle…
s: 10c: The probability is \(\boldsymbol{\frac{3}{10}}\) (explanation: Using conditional probability, count favorable (6 rolled, product >10) over total (product >10) outcomes, gi…
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is im2a unit 5 test 10. the following spinner is spun and a normal six …
### 10c: Probability that a 6 was rolled given that the product was greater than 10 #### Step 1: Define the events Let \( A \) be the event that a 6 was rolled, and \( B \) be the…
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weeks, x. number of weeks, x account balance (dollars), y 0 80 1 65 2 5…
$y = 80 - 15x$
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10b what is the probability that the product was a multiple of 4 given …
\(\frac{3}{8}\)
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10. the following spinner is spun and a normal six - sided die is rolle…
\(\frac{1}{2}\)
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10. the following spinner is spun and a normal six - sided die is rolle…
To solve this, we need to fill in the table with the product of the spinner result (1, 2, 4, 6) and the die result (1 - 6). Let's go step by step for each row (die result) and col…
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9. this venn diagram shows the results of a survey identifying what col…
\(\frac{5}{19}\)
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8. a standard six - sided die is rolled. 8a list all the even numbers t…
\(\frac{5}{6}\)
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8. a standard six - sided die is rolled. 8a list all the even numbers t…
2, 3, 5
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8. a standard six - sided die is rolled. 8a list all the even numbers t…
2, 4, 6
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7. students were asked what they are allergic to. the table shows the r…
\(\frac{17}{45}\)
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7. students were asked what they are allergic to. the table shows the r…
\(\frac{1}{3}\) (or the fraction based on the actual table data, e.g., if the table has 9 nut-allergic and 3 both, it would be \(\frac{3}{9} = \frac{1}{3}\); adjust based on the t…
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7. students were asked what they are allergic to. the table shows the r…
\(\frac{13}{45}\) (or approximately \(0.289\))
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7. students were asked what they are allergic to. the table shows the r…
\(\frac{32}{45}\) (or approximately \(0.711\) if a decimal is preferred)
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is im2a unit 5 test 7. students were asked what they are allergic to. t…
\(\frac{2}{5}\)
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7. students were asked what they are allergic to. the table shows the r…
\(\frac{2}{5}\)
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a cake recipe calls for 3 cups of flour for every 1 teaspoon of baking …
For \( x = 0 \), \( y = 0 \); for \( x = 1 \), \( y = 3 \); for \( x = 2 \), \( y = 6 \); for \( x = 3 \), \( y = 9 \). So the completed table (from top to bottom in the "Cups of …
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6. using the venn diagram shown, find: explain probability = \\(\\frac{…
\(\frac{11}{37}\)
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6. using the venn diagram shown, find: 6c ( p(a \text{ or } b) ) probab…
\(\frac{26}{37}\)
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6. using the venn diagram shown, find: 6b ( p(a \text{ and } b) ) proba…
\( \frac{32}{37} \)
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6. using the venn diagram shown, find: probability = \\(\\frac{6}{37}\\…
\(\frac{23}{37}\)
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6. using the venn diagram shown, find: 6a ( p(a \text{ but not } b) ) p…
\(\frac{7}{37}\)
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6. using the venn diagram shown, find: 6a ( p(a \text{ but not } b) ) p…
\(\frac{6}{37}\)
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6. using the venn diagram shown, find: 6a ( p(a \text{ but not } b) ) p…
To solve \( P(A \text{ but not } B) \) using a Venn diagram, we need to recall the following: ### Step 1: Understand the Region "\( A \) but not \( B \)" refers to the region that…
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5. miss simpson recorded the hair type and color of her students in the…
| | Red | Brown | Blonde | Black | |----------|-----|-------|--------|-------| | Straight | 1 | 7 | 1 | 7 | | Curly | 1 | 4 | 3 | 2 |
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4. this table describes the departures of cruises out of a port for the…
\(79.7\%\)
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4. this table describes the departures of cruises out of a port for the…
$\frac{21}{46}$ (or $\frac{3}{7}$ or approximately 0.459 depending on data). But since the table is missing, the general formula gives the fraction as $\frac{\text{On - time June}…
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4. this table describes the departures of cruises out of a port for the…
\(\frac{15}{38}\) (or approximately \(0.395\), but the exact fraction depends on the table values. If the table has June on - time = 45, total June = 50, total July = 64, then the…
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4. this table describes the departures of cruises out of a port for the…
To solve part 4b, we need to assume we have the number of cruises that departed on time in June and the total number of cruises in both June and July. Let's assume the following (…
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4. this table describes the departures of cruises out of a port for the…
\(\frac{59}{150}\) (or approximately \(0.39\) or \(39.3\%\) but as a fraction, \(\frac{59}{150}\)) (Note: The answer depends on the actual June data. If the June on - time is diff…
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4. this table describes the departures of cruises out of a port for the…
$20.3\%$
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3. a coin is tossed and lands on heads. will this affect the chances of…
A. No
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2. a single marble is drawn from a jar containing 20 marbles, as shown …
60% Wait, but maybe the blue marbles are different. Wait, maybe the user's problem has blue marbles as 3. Let's check: 7+3=10, 10/20=50%. But that's less likely. Alternatively, ma…
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2. a single marble is drawn from a jar containing 20 marbles, as shown …
$35\%$
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is im2a unit 5 test 2. a single marble is drawn from a jar containing 2…
30%
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2. a single marble is drawn from a jar containing 20 marbles, as shown …
30%
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1c which event is the most likely to happen? a spinning a 3 or more b s…
A. Spinning a 3 or more
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1b how likely is the event of spinning 15 or more? options: impossible,…
A. Impossible
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read the excerpt from act 5, scene 2, of julius caesar. alarum. enter b…
lack of enthusiasm
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read the excerpt from act 5, scene 1, of julius caesar. octavius. come,…
C. It emphasizes the savagery of the assassins' actions toward Caesar.
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model each scenario. see example 3 21. an amusement park attraction req…
The model for the rider's height \( h \) (in inches) is \( |h - 50| \leq 12 \), and the range of heights is \( 38 \leq h \leq 62 \) inches.
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22. the typical price to see a popular movie in the us is $21.24 and ca…
The price range of a movie ticket is modeled as \( 17.99 \leq x \leq 24.49 \) where \( x \) is the price of a movie ticket.
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read the excerpt from act 1, scene 1, of the tragedy of julius caesar a…
D. Lupercal alludes to an important patriotic festival, and celebrating Caesar's triumphant return at the same indicates his high position in Rome.
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no additional details were added for this assignment. show your work th…
5
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a survey asked stamp collectors how many stamps they have in their coll…
The lower fourth of the responses fall between 40 and 60.
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what is the equation of the least squares regression line for the data …
\(y=-0.879x + 43.293\) (the third option)
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read the excerpt from ovid’s \pyramus and thisbe\. and may you, mulberr…
A tree is given symbolic meaning.
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equivalent fractions in higher terms lower terms | \\(\\frac{1}{3}\\)s …
| Lower Terms | Equivalent Fractions in Higher Terms | | | | | | |----|----|----|----|----|----|----| | | $\frac{1}{6}$ | $\frac{1}{4}$ | $\frac{1}{8}$ | $\frac{1}{9}$ | $\frac{1}…
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which are examples of quadrant 1 functions in the ai four - quadrant fr…
- Automated data collection to help marketers - Cleaning floors in stores with no cleaning staff - AI - controlled filling of all the orders in a distribution center
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4 read this line from chapter 5. \i believe i see a damsel in some dist…
1. Figurative language type: Idiom 2. This means: The character sees a woman who appears to be in trouble and goes to help her, using a traditional, widely recognized phrase to de…
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use the unit rate to find the number of cranes adriana can fold in 45 m…
90
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interactive practice: use unit rates to solve problems adriana is foldi…
2
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interactive practice: use unit rates to solve problems tiffany is learn…
45
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interactive practice: use unit rates to solve problems colton lives wit…
80
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1. look at this spinner: which two of these events have an even chance …
A. Spinning an even number, B. Spinning 5 or more
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interactive practice: understand rate concepts mekhi competes in a wint…
bikes
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15. which of the following sets of data is approximately normally distr…
The data set represented by the first histogram (with weight on the x - axis and percentage on the y - axis, showing a symmetric, bell - shaped pattern) is approximately normally …
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14. a teacher wants to select one group of 5 people from his 30 student…
D. 142506
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12. evaluate $^4c_2$. $^4c_2 = $ enter your next step here
\( _4C_2 = 6 \)