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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linear equations w/ distribution (lev 3) score: 0/6 penalty: 1 off ques…
\(x = -\frac{3}{2}\) (or \(x = -1.5\))
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question find the sum of the first 7 terms of the following sequence. r…
\( 482.35 \) (rounded to the nearest hundredth)
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select the graphs that show a proportional relationship between x and y.
The graph on the Right
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complete parts (a) and (b) below. the number of dogs per household in a…
A. A household on average has 0.5 dog with a standard deviation of 0.9 dog.
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use the probability distribution to complete parts (a) through (e). the…
0.741
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use the venn diagram shown to list the set (a ∩ b ∩ c) in roster form. …
\(\{2, 3, 5, 6, 8, 9, 10, 14, 17, 18, 20\}\)
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create a histogram with five intervals from this data set: 21, 37, 56, …
14
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you are given the sample mean and the population standard deviation. us…
\((65.20, 120.80)\)
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suppose that the height (in centimeters) of a candle is a linear functi…
\( 18.4 \)
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what is the equation of the line? for any proportional relationship, th…
\(y = 30x\)
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question which event is least likely to occur? answer rolling a number …
Winning a raffle that sold a total of 100 tickets, if you buy 12 tickets.
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make a residual plot for the linear model and the data set it represent…
Residual plot: Plot A (top-left). Fit analysis: The points in the residual plot appear to be randomly distributed on either side of the x - axis, and they are clustered fairly clo…
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the data given below show the number of overtime hours worked in one we…
(a) The probability distribution table is already completed as: | x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | |----|----|----|----|----|----|----|----| | P(x) | 0.040 | 0.070 | 0.171 | 0.286 …
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grace rakes leaves every day for one week. she fills the same number of…
A. Number of bags filled each weekday
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adam and lina each buy 4 concert tickets online. adam is charged a fee …
Adam's purchase: 4 tickets and 4 fees Lina's purchase: 4 tickets and 1 fee
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the iq scores for a random sample of subjects with low lead levels in t…
D. $H_0: \mu_1 \leq \mu_2$, $H_1: \mu_1 > \mu_2$
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the following data represent the weight (in grams) of a box of raisins …
\( N = 24w-933.2 \)
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use the venn diagram to determine the set a∪b. a∪b= (use a comma to sep…
\( s, \%, \theta, \text{three}, \text{six}, \text{nine} \)
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solve the following logarithmic equation. be sure to reject any value o…
A. The solution set is $\{14\}$
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a person studying economics chooses to buy an economic textbook for the…
D. consequences and tradeoffs.
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each circle counts as one whole. write a mixed number giving the amount…
(a) Mixed number: $3\frac{1}{3}$ (b) Improper fraction: $\frac{10}{3}$
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• organized in alphabetical order • provides the part of speech of the …
A. A dictionary provides the part of speech of a word.
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suffixes -er ; -or : one who e.g.: trainer, protector -ity ; -ty : qual…
C. Interpretation means a state of understanding.
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poetic elements quick check how would you describe the meaning of enjam…
D. when a line break occurs in the middle of a sentence or phrase in a poem
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chicken sandwiches are often advertised as a healthier alternative to b…
The residual is 10.8, which is positive, indicating that the equation underestimated the number of calories.
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find the regression equation, letting the first variable be the predict…
45
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using the weights (lb) and highway fuel consumption amounts (mi/gal) of…
36.5
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listed below are the numbers of words spoken in a day by each member of…
a. \( H_0: \mu_d = 0 \), \( H_1: \mu_d < 0 \); Test statistic \( t=-0.52 \); P - value = 0.309; Conclusion: Fail to reject \( H_0 \) (not enough evidence males speak fewer words).…
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the formula $a = 23.1e^{0.0151t}$ models the population of a us state, …
a. \( 23.1 \) b. \( 2013 \)
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test the claim about the population variance $\\sigma^2$ at the level o…
- Null and Alternative Hypotheses: $H_0: \sigma^2 = 34.6$ $H_a: \sigma^2 eq 34.6$ - Standardized Test Statistic: $\chi^2\approx85.09$ - P - value: $0.470$ - Decision: Fail to re…
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find the critical value(s) and rejection region(s) for a left - tailed …
C
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seven friends go to a restaurant. the bill (plus tip) comes to a total …
Each person should pay $12.62.
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suppose iq scores were obtained for 20 randomly selected sets of twins.…
\(104.65\)
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tell what each of (a) the residual plots to the right indicates about t…
B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear.
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question 12 (2.5 points) most ethical codes specify that therapists sho…
C. inform clients that a diagnosis can become a permanent part of their file and have ramifications in terms of cost of insurance, long - term insurability, and employment ### Que…
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ethan mowed 4 lawns in 6 hours. what was his rate of mowing in lawns pe…
\( \frac{2}{3} \) lawns per hour
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exploring financial accounts use the information below to answer the qu…
B. It improves borrowing prospects. (assuming the second option is labeled B, if the options were labeled differently, adjust the identifier accordingly. Since the second option i…
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exploring financial accounts use the information below to answer the qu…
It positively impacts one's credit score.
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exploring financial accounts use the information below to answer the qu…
B. for emergencies
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29 nicole had a collection of 60 stuffed animals. she gave away 5 stuff…
A. The graph labeled A (Stuffed Animal Collection with y - intercept 60, decreasing line, x from 0 - 12, y from 0 - 60) ### Question 30
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11, 384.4 ÷ 88.1
\(384.4\div88.1\approx4.36\) (or more accurately \(4.363\))
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c.4 interpret figures of speech foc what does the simile in this text s…
A simple change of scenery can be like an ice - cold lemonade on a warm summer day: A simple change of scenery is refreshing. (The option corresponding to this meaning, assuming t…
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if the ratio of apples to total pieces of fruit in the basket is 1:10, …
A. 40 plums
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number of hours spent walking which statement is true? a. at 0 hours, 1…
B. The point (1, 120) represents walking burns calories at a rate of 120 calories per hour
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what does the point c represent of the graph? a. there are 4 total gram…
D. There are 14 total grams of sugar in 4 ounces of soda.
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does the equation y = 5x represent a proportional relationship? explain…
Yes, the equation \( y = 5x \) represents a proportional relationship. It is in the form \( y = kx \) (where \( k = 5 \), a constant), and when \( x = 0 \), \( y = 0 \), meaning t…
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which equation represents the cost, y, of x gallons of gasoline? a. y =…
A. \( y = 3.25x \)
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time (in hours) which equation represents the relationship? a ( x = 4.2…
C. \( y = 4.2x \)
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19. the length of a ruler is 12 inches. there are approximately 25.4 mi…
C. 304.8 mm ### Question 20 (Water Usage Conversion)
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has collected the following data from a certain sample. | x | 2 | 3 | 4…
- Part (b) linear equation: \( y = 0.740x + 1.537 \) - Part (c) predicted y when x = 1: \( 2.277 \)
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define copyright and attribution, and explain why its important to give…
- **Copyright**: Legal right over original creative work (e.g., books, art, music) to control reproduction, distribution, etc. - **Attribution**: Crediting the original creator (e…
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dante collected the following data from a science experiment. | x | 2 |…
## Part (b) Linear Equation: \( y = 0.795x + 1.197 \) ## Part (c) Predicted \( y \) when \( x = 1 \): \( 1.992 \)
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3. the height of a dvd storage case is $2\\frac{4}{5}$ inches tall. if …
14 ### Problem 4
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17. a bookstore offered mystery bags each containing 12 books. the quan…
A. There will be 4 more spy novels in 8 bags than in 6 bags.
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which expression can be used to model the recommended amount of fruits …
$7 \times \frac{1}{4}$ (corresponding to the option "7×1/4")
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dante collected the following data from a recent survey: | x | 2 | 3 | …
### Part (b) \(a\approx0.795\), \(b\approx1.197\), \(r^2\approx0.865\), \(r\approx0.930\) The linear equation is \(y = 0.795x + 1.197\) ### Part (c) When \(x = 1\), \(y\approx1.99…
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12. for an industrial arts class, talia used \\(\\frac{1}{3}\\) of a pi…
$\frac{5}{12}$
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what is the percent of increase from 35.2 to 58.7? round your answer to…
\( 66.8\% \)
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13. at a school carnival, tickets can be purchased to participate in di…
B. 0.25
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with rational numbers directions for multiplying /dividing word problem…
The average temperature change per hour was a decrease of \( 3.75^\circ\text{F} \) (or \( -3.75^\circ\text{F} \) per hour). ### Problem 2:
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10. a dog eats 1.25 cups of dog food twice a day. which graph best repr…
C. Dog Food Eaten graph (with x as Number of Days, y as Number of Cups, passing through (2,5))
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what is the percent of increase from 19 to 74.1? write your answer usin…
290%
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lets prepare for a marathon with some tips about how much to eat and dr…
The first model (with 1 out of 4 strips shaded) shows $\frac{1}{4}$ cup shaded.
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9. which answer choice represents a person burning 90 calories by climb…
A. Calories Burned per Flight of Stairs Climbed (with the table where \( c = 5f \) and for \( f = 18 \), \( c = 90 \))
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5. there are 40 houses in a neighborhood. - company x provides electric…
D. 19 houses
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an animal sanctuary houses a variety of animals. to understand the work…
Dr. Taylor (select the checkbox for Dr. Taylor) (b) # Explanation: ## Step1: Identify animals in Dr. Chen’s set: Horses, Dogs, Birds, Turtles, Cats. ## Step2: Identify animals in …
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are you smarter than a second grader? a random sample of 45 second grad…
\( H_0: \boldsymbol{\mu = 50} \), \( H_1: \boldsymbol{\mu eq 50} \), and this is a two - tailed test.
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lets prepare for a marathon with some tips about how much to eat and dr…
The second model (the one with the square divided into 2 equal parts, with 1 part shaded) shows $\frac{1}{2}$ liter shaded.
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a unit rate is a rate in which one of the quantities is 1. the unit rat…
C 3
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4. (9 × 10⁻⁴)(8.7 × 10¹⁰)
\(7.83\times10^{7}\)
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the line representing a proportional relationship always goes through t…
B. (2, 4)
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what is the percent of change from 40 to 14? 65% increase 84% decrease …
D. 65% decrease
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which expression can be represented by the model? 1.8÷4 1.8÷3 2÷5 2÷4
\(1.8\div3\) (corresponding to the option: 1.8 ÷ 3)
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name: date: 5. yolanda travels 403 km from ottawa to toronto. she trave…
The distance traveled by bus is 82.615 km. ### Problem 6a:
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an compare measures of spread click here for a help video 6. ten member…
(Assuming the above - mentioned comparison with a typical other data set): a. The median of the book club data set (28) is greater than the median of the other data set (e.g., 25)…
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lesson 4: write three - digit numbers • lets represent three - digit nu…
The number of blocks in the top (first) block group is \(\boldsymbol{324}\) (calculated as \(3\times100 + 2\times10+4\)).
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write a rule and an equation to fit the pattern in the table. | x | y |…
The value of \( y \) is equal to the value of \( x \) plus 23. The equation is \( y = x + 23 \).
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the inequality $2.75x + 1.95 \\leq 12$ models the situation, where what…
B. 3 hamburgers
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in the graph, the year with the highest unemployment rate is 1983. what…
D. 10.2%
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11. \i have given you my soul; leave me my name!\ explain. 12. \he has …
This quote from *The Crucible* (John Proctor) means he will confess to false witchcraft (compromising his "soul" in integrity) but begs to keep his name (reputation, identity) rat…
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wayne and judy both collect sports cards. wayne has 9 cards. judy has 3…
27
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therancia celestins practice 14 write 0.61 as a fraction.
\(\frac{61}{100}\)
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the number of newly reported crime cases in a county in new york state …
Regression Equation: \(y = 39.70x + 1127.80\) Final Answer: 1485
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to endure means to a continue to exist b wait for a chance c cure with …
A. continue to exist
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to read conscientiously means to read with a help b care c speed
B. care
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29 read this sentence from passage 1. \most people had only the vaguest…
C. It demonstrates that the stories told about the West motivated people to travel.
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1 bella recorded data and used her graphingcalculator to find the equat…
1. 1) 0.9 2. 4) (Assuming -0.254 is moderate negative, or if it's -0.524, still moderate negative) 3. 1) strong negative correlation 4. 3) -0.95 5. 2) There is a positive correlat…
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read the sentence from the passage. for example, a person who didn’t li…
d. It uses a modern example to show that the phrase "make a stink" is still used today.
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read this sentence from passage 2: \these jobs provided her with free i…
A. Pleasant carefully collected the advice from several sources.
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study guide part 1: identifying figurative language read the following …
### Part 1: Identifying Figurative Language 1. **"A dog of the house of Montague moves me."** - **Explanation**: Sampson uses a metaphor, comparing a Montague servant to a dog (im…
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4. which detail best demonstrates the authors attitude toward sunday se…
A. "She busies herself to remove every particle of cotton and dust from her frame or looms, cheering herself meanwhile with sweet thoughts of the coming Sabbath." (Paragraph 6)
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use the table below to complete the scatterplot and answer the followin…
To complete the scatterplot, plot the points: (1, 23), (5, 45), (4.5, 44), (1.5, 28), (4, 39), (2, 34), (3, 35) on a coordinate system with age (x) on the x - axis and height (y) …
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now its time to practice on your own use the data to create a scatter p…
The scatter plot is created by plotting the points (0, 3), (1, 4), (2, 6), (3, 11), (4, 15) on the "Population vs. Year" coordinate grid.
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x | y -9 | 12 -3 | 10 0 | 9 3 | 8 9 | 6 21 | 2
The relationship between \(x\) and \(y\) is linear, and the equation of the line is \(y =-\frac{1}{3}x + 9\) (or we can state the slope is \(-\frac{1}{3}\) and the y - intercept i…
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labor, progressivism and populism labor, progressivism, and populism wo…
1. Bimetallism 2. Gold Standard 3. William J Bryan 4. Populism 5. Theodore Roosevelt 6. William H. Taft 7. Progressivism 8. 16th 9. 17th 10. Knights of Labor 11. American Federati…
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“take the bus?” 1. on monday morning, sara’s mother went over the famil…
First Event: Sara’s mother proposes an idea for transportation to the ballet rehearsal Second Event: Sara dips her change and pauses while boarding the bus Third Event: Sara is ov…
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question 1-8 grayson deposited $4,500 into a new account. - the account…
8.5% (corresponding to the option with 8.5%)
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which of these best defines the meaning of the underlined term (assumed…
D. information that is supposed to be secret but is actually known to many
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6 \youve cut off your hair?\ asked jim, laboriously, as if he had not a…
B. with difficulty
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mia, sam, and ben are cross-country runners on a team. their coach reco…
Mia