Statistik
Datenanalyse, Wahrscheinlichkeitsverteilungen und Hypothesentests.
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the scatter plot with the line of best fit below shows data taken from …
The \( r \) - value is close to 1 because there is a strong correlation between the line of best fit and the data. (The option corresponding to this statement among the given opti…
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finding probabilities tiles with the letters a, b, c, d, e, f, g, and h…
- The number of possible outcomes is 8: True - The probability of drawing the tile with E written on it is \( \frac{1}{4} \): False - \( P(\text{vowel})=\frac{1}{4} \): True - \( …
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1-59 write \theoretical\ or \experimental\ to describe the probabilitie…
theoretical ### Part b)
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excerpt from a founding document | founding principle | explain your re…
This problem relates to the subfield of **Politics** (under Social Science) as it involves analyzing founding documents of the United States (Constitution, Bill of Rights, Declara…
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1-58 place the following probabilities on the number line below. a) a ¼…
- e: near 0 (0.01) - a and b: at 0.25 (1/4 or 25%) - d: at 0.625 (5/8) - c: at 0.8 (When placing on the number line, mark each point according to its decimal value between 0 and 1…
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the table shows all the possible sums when rolling two number cubes num…
\(\frac{5}{36}\)
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a) can you tell the speed of craig’s fastest pitch? explain. b) between…
No, we cannot tell the exact speed of Craig’s fastest pitch. The histogram shows speed intervals (e.g., 45 - 50, 50 - 55, etc.). We know the fastest pitch is in the highest interv…
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two spinners that have sections numbered 1 through 5 are spun at the sa…
9
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phil is buying a sandwich. he has the following choices. bread: wheat (…
WGT, WGF, WSC, WSH
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if one turn consists of spinning each spinner once, which table shows a…
The left table (with rows 2,4,6,8 and columns 2A,2B; 4A,4B; 6A,6B; 8A,8B) shows all possible outcomes. (Note: If the second spinner actually has \( A, B, C \), there would be \( 4…
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lona tossed a coin twice. she made a tree diagram to show the possible …
The second tree diagram (the one with root, then T and H, then each of those branches into T and H)
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the bawden family is shopping for a new television. they are making the…
5 brands and 4 sizes
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jalen is buying a new car. he has the options below. model: compact, lu…
6
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“our nigger’s back!” i don’t know what shawn saw on my face—whether it …
Tara means Shawn’s use of the slur shows he’s ignorant of its racist, dehumanizing meaning and the historical struggle for equality it’s tied to (e.g., civil rights battles of Til…
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jordan is planning to buy a vehicle. he has the following choices. type…
He should have multiplied the choices, instead of adding them.
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adele also must choose between leather or cloth seats for her vehicle. …
Adele is incorrect. The correct total number of seat cover choices is 15.
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adele is buying a sport utility vehicle. she is trying to choose among …
She should have multiplied the total of all the choices.
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antonio is buying a stereo, speakers, and amplifiers for his car audio …
3
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use your data to predict the breaking weights for bridges of lengths 3,…
To solve this, we first need the data on bridge lengths and their corresponding breaking weights (e.g., from an experiment or dataset). Let's assume we have a linear relationship …
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the roberts family is shopping for a new car. they are considering a mi…
30
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the smith family is shopping for a new car and they are basing their de…
To determine the number of color and style choices, we assume the number of color choices is \( c \) and the number of style choices is \( s \). The total number of outcomes is th…
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question 13 0.2 pts one important lesson helping professionals can take…
A. understanding how young clients think can help in structuring interventions that build effectively on existing knowledge and meanings.
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using a list a jar contains three marbles: 1 yellow (w), 1 orange (o), …
5
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linear equations w/ distribution (lev 2) score: 7/10 penalty: 0.5 off q…
\(x = - 5\)
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question 2 (1 point) how many ways can 6 friends stand together in a li…
240
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question 1 (1 point) saved how many ways can 6 friends stand together i…
A. \(5!2!\)
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1st toss 2nd toss 3rd toss outcomes h ├─ h ── h −−− (h,h,h) │ └─ t −−− …
8 ### Second Question: How many outcomes include exactly one tail?
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a drawer contains one pair of brown socks and one pair of white socks. …
12 ### Second Question: Number of matching pairs
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finally, determine the cumulative frequencies of each class for the fin…
For 39 - 49: 28 For 50 - 60: 47 For 61 - 71: 48 For 72 - 82: 50
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next, we will add relative frequency to our frequency table. recall tha…
For 39 - 49: 0.42 For 50 - 60: $\frac{19}{50} = 0.38$ For 61 - 71: $\frac{1}{50} = 0.02$ For 72 - 82: $\frac{2}{50} = 0.04$
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now determine the frequencies. the class frequency is the total number …
21
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now determine the frequencies. the class frequency is the total number …
For class 28 - 38: 7 For class 39 - 49: 20 For class 50 - 60: 19 For class 61 - 71: 1 For class 72 - 82: 2
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we will now determine the midpoint of each class. recall that the midpo…
For 38.5 - 49.5: \(44\) For 49.5 - 60.5: \(55\) For 60.5 - 71.5: \(66\) For 71.5 - 82.5: \(77\)
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how determine the class boundaries. recall that we want the class bound…
- For 39 - 49: 38.5 - 49.5 - For 50 - 60: 49.5 - 60.5 - For 61 - 71: 60.5 - 71.5 (the middle part is just a continuation, no new calculation here) - For 72 - 82: 71.5 - 82.5 Filli…
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which of the following are compound events? check all that apply. drawi…
- drawing an ace and then a king from a deck of cards - rolling a 1 on a number cube and then tossing a coin and landing on tails - choosing a banana, then an apple, and then an o…
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(b) make a frequency table showing class limits, class boundaries, midp…
First class lower: 20 Second class upper: 49 Fourth class upper: 71 Fifth class lower: 72 (Assuming class width is 11 and using discrete class limits where upper = lower + width -…
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substitute the largest data value, 81, and the smallest data value, 28,…
First blank (after division): \( 10.6 \) Second blank (rounded class width): \( 11 \)
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identifying the number of possible outcomes of simple events. match the…
- Flipping a coin: 2 - Spinning a 4 - color spinner: 4 - Drawing a card from a deck: 52 - Rolling a number cube: 6
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the figure below shows a dotplot generated by minitab for the number of…
2 ### Part (b)
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luis rolled a number cube 60 times. he rolled the number 6 four times. …
A. He did not perform enough trials.
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the figure below shows a dotplot generated by minitab for the number of…
2 ### Part (b)
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jonas is conducting an experiment using a 10 - sided die. he determines…
He can increase the number of trials.
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frederick designed an experiment in which he spun a spinner 20 times an…
The true statements are: - For the experimental outcomes to be closer to the predicted outcome, the number of trials should be increased.
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james conducted an experiment with 4 possible outcomes. he determined t…
completing the experiment many more times and combining the results to the trials already done
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a bag contains 1 red tile, 1 blue tile, 1 green tile, 1 yellow tile, an…
50
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how long did real cowboys live? one answer may be found in the book the…
Yes, these cowboys certainly lived long lives, as evidenced by the high frequency of leaves for stems 7, 8, and 9 (i.e., 70 - year - old, 80 - year - old, and 90 - year - old).
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ma conducted an experiment by flipping a fair coin 200 times. the coin …
The statement "The experimental probability of the coin landing heads up is $\frac{11}{20}$ and the theoretical probability of the coin landing heads up is $\frac{1}{2}$" is corre…
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kaden rolls a number cube and records the result of each roll in the ta…
To solve this, we first calculate the total number of rolls. The frequencies are \(11\) (for 1), \(16\) (for 2), \(14\) (for 3), \(20\) (for 4), \(12\) (for 5), and \(17\) (for 6)…
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number cube number rolled | 1 | 2 | 3 | 4 | 5 | 6 frequency | 11 | 16 |…
1. The relative frequency of rolling a 4 is \(\frac{2}{9}\) 3. The experimental probability of rolling a 2 is greater than the theoretical probability of rolling a 2 (Note: There …
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we now have an ordered data set. 08 24 26 28 31 35 35 35 36 38 38 46 46…
- Stem 0 leaf: 8 - Stem 2 leaf (blank): 6 - Stem 5 leaf (blank): 2 - Stem 8 leaf (blank): 6 (If filling the blanks in order: 8; 6; 2; 6)
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amber rolls a number cube and records the result of each roll in the ta…
1. The relative frequency of rolling a 4 is \(\frac{2}{9}\) 3. The experimental probability of rolling a 2 is greater than the theoretical probability of rolling a 2 (Note: There …
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a set of face cards contains 4 jacks, 4 queens, and 4 kings. carlie cho…
The experimental probability is \(\frac{1}{15}\) less than the theoretical probability. (Corresponding to the option "The experimental probability is \(\frac{1}{15}\) less than th…
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four students are determining the probability of flipping a coin and it…
Collin
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nadine conducted an experiment with four possible outcomes. trevor cond…
Trevor has more experimental outcomes than Nadine. Trevor’s experimental probability is more likely closer to the theoretical probability than Nadine’s.
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a bag contains 1 red tile, 1 blue tile, 1 green tile, 1 yellow tile, an…
All relative frequencies are correctly calculated (observed frequency / 50), matching the table.
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the sample table above represented 25 cm at site i and 20 cm at site ii…
(Site I): least: 25 cm greatest: 110 cm
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four students are determining the probability of flipping a coin and it…
Collen
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he predicts that 60 of those spins will result in the spinner landing o…
The correct option is the one stating "Elijah’s prediction is exact because $180\times\frac{1}{3}\approx60$" (more precisely, $180\times\frac{1}{3}=60$).
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alberto conducted an experiment by rolling a fair six - sided number cu…
The option where the experimental probability of rolling a 2 is $\frac{1}{4}$ and the theoretical probability of rolling a 2 is $\frac{1}{6}$ (the second option from the top, assu…
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jamie rolls a 6-sided die 30 times and determines that the experimental…
A. He can increase the number of trials.
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(i) graphs made by ramon (a) high school or less (b) college graduate d…
- First question (What feature...): - The graphs do not have data labels showing the percentages. - The donut hole in the graph made by Keith is a different size than in the graph…
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determine the central message of a folktale — quiz — level c what is th…
Being selfish can get you in trouble.
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5. the national average price per gallon for gasoline is normally distr…
0.9
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number cube observed frequency 1 18 2 16 3 24 4 26 5 16 6 20 how does t…
The experimental probability of rolling a 3 is \(\frac{1}{30}\) greater than the theoretical probability of rolling a 3 (the option stating this).
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number cube number rolled | 1 | 2 | 3 | 4 | 5 | 6 frequency | 11 | 16 |…
1. The relative frequency of rolling a 4 is $\frac{2}{9}$. 2. The experimental probability of rolling a 3 is greater than the theoretical probability of rolling a 3. 3. The experi…
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7. if manuel deposits 25% of $130 into a savings account, what is the a…
The amount of his deposit is $32.5.
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maya wants to perform an experiment with a spinner labeled a, b, and c.…
The first spinner (the top - most one with four equal - sized sections labeled A, B, E, C? Wait, no, re - examining: Wait, the problem says the theoretical probabilities are \(P(A…
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john is about to roll a six - sided, fair number cube 60 times. he want…
30
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roll the number cube to find the observed frequency. dice image table w…
- As the number of trials increases, experimental probability is closer to theoretical probability. - As the number of trials increases, there is no change in the experimental pro…
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4. on a recent statewide math test, the raw score average was 56 points…
15.87% ### Part (b)
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the words “oversight” and “surveillance” have similar meanings. compare…
A. A stronger connotation
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finding relative frequency a number cube is rolled 60 times. the result…
For \( A \): \(\frac{1}{5}\) (or \( 0.2 \)) For \( B \): \(\frac{2}{15}\) (or approximately \( 0.133 \))
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3. the hold time experienced by people calling a government agency was …
$4.3\%$
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predicting the outcome of an experiment emma conducted an experiment in…
50
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a six - sided, fair number cube is rolled 100 times as part of an exper…
The correct statement (assuming the frequency of rolling a 3 is 20, as it's a common setup with 100 rolls and 1/5 experimental probability: \( \frac{20}{100}=\frac{1}{5} \)) is: "…
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a number cube is rolled 100 times as part of an experiment. which state…
To solve this, we analyze theoretical and experimental probability for rolling a 3 on a number cube: ### Step 1: Theoretical Probability A standard number cube has 6 faces (number…
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during samuel’s experiment, the experimental probability was 0.25. what…
The experimental probability of the outcome is $\frac{1}{4}$. (Assuming the options are: A. The experimental probability of the outcome is $\frac{1}{4}$. B. The experiment has fou…
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2. if one quart bottles of apple juice have weights that are normally d…
2.28%
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mali performed an experiment with a standard deck of 52 cards. she want…
A. increase the number of trials
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jamal performed an experiment flipping a coin. he did 10 trials and the…
He did not perform enough trials to compare the theoretical and experimental probabilities.
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which of the following statements is true? the indian appropriations ac…
B. The Indian Appropriations Act of 1871 meant that tribes were no longer classified as independent nations.
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90-day forecast weather type | predicted frequency | observed frequency…
First, we need to calculate the experimental probability of rain. The total number of days is \(9 + 18 + 27 + 36=90\) (from the predicted frequencies, we can also check with obser…
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the weather forecast for next season calls for a 10% chance of wind wit…
To model the weather forecast with a 10 - section spinner: 1. First, convert the percentages to the number of sections: - For wind with no rain or clouds (10% chance): $10\%\times…
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a country with one of the highest population densities is malta, where …
1392 To compare, Malta's population density (1392 people per square kilometer) is much higher than the United States' population density (36 people per square kilometer), meaning …
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3. the table shows ms. kayla’s ged® students’ results from a keyboardin…
The difference in words per minute between the fastest - and the slowest - typing students is \( \boldsymbol{15.5} \) wpm.
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use the interactive spinner to simulate who among elisondra and her thr…
To find the experimental probability of Sarah ordering first, we use the formula for experimental probability: \( P(\text{Sarah})=\frac{\text{Observed frequency of Sarah ordering …
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what could be predicted if elisondra and her friends use the spinner to…
B. Elisondra will order first approximately 10 times. E. Each person will order first approximately the same number of times.
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question 12 (multiple choice worth 2 points) programs and use pns mc th…
The data is bimodal with an approximate range of 12. The most frequent number of activities was either 10 or 22, which might mean that the activities vary in each school.
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question 11 (multiple choice worth 2 points) (effects of changes in dat…
The value of the mean would remain the same at about 44. (Option: The value of the mean would remain the same at about 44)
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use the interactive spinner to model who among elsondra and her three f…
$\frac{1}{4}$
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lloyda is eating at a restaurant with three friends. they want to choos…
4 (Wait, correction: To choose among 4 people (Lleovdcha + 3 friends = 4), the spinner should have 4 equal - sized sections. But let's re - evaluate the problem. If it's Lleovdcha…
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tested 1000 calculators to see if any were defective. the company claim…
10
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caleb performed an experiment in which he rolled a number cube 100 time…
0.14
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identifying theoretical probability complete each sentence to make a tr…
$\frac{1}{6}$
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a bag contains 8 pieces of paper, each with one of these letters writte…
1. Impossible: The letter drawn is a P 2. Likely: The letter drawn is a consonant 3. Unlikely: The letter drawn is one of the first ten letters of the alphabet 4. Certain: The let…
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tia performed an experiment where she flipped a coin 200 times. the coi…
The ratio $\frac{92}{200}$ represents the experimental probability of the coin landing heads up in this experiment. (Assuming the first option's ratio numerator is a typo and the …
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during an experiment, juan rolled a six - sided number cube 18 times. t…
Juan's claim is incorrect. The correct experimental probability is $\frac{4}{18}=\frac{2}{9}$ (Wait, no, wait: Wait, the number of trials is 18, and the number of times two occurr…
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shana lives in a town with a population of 130,000. standing outside th…
There should be 17,225 cat owners in town.
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a number cube was rolled as part of an experiment. the results are disp…
The best explanation is: "To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if nec…
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the results of a color spinner experiment are shown in the table. consi…
6