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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16. for the given scatter plots determine the strength and direction of…
- a. Strength: Strong, Direction: Positive - b. Strength: Weak, Direction: Negative - c. Strength: Moderate, Direction: Positive
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current skill $ what is the rate of change? x y 2 8 3 12 4 16
4
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4. each package contains 10 marbles. which graph correctly represents t…
(a) Graph A ### Question 5
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13. bob works for the local aquarium where he is in charge of cleaning …
\( G(x) = -9x + 288 \) ### Question 14 Part A (Slope Meaning)
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name london uncommon schools | change history 7th grade math ia 3, l067…
Fig 1: YES (because it's a straight line through the origin) Fig 2: NO (horizontal line, not through origin) Fig 3: NO (straight line, not through origin) First Table: YES (consta…
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1. the bag contained only red marbles and white marbles. if the ratio o…
\( \frac{4}{9} \) ### Problem 2a
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2. represent the sequence {7, 9, 11, 13, ...} in both recursive and exp…
- Recursive form: \( a_1 = 7 \), \( a_n = a_{n - 1} + 2 \) (for \( n \geq 2 \)) - Explicit form: \( a_n = 2n + 5 \)
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your chapter must include: 1. a landmark of nanjing (e.g., the ming cit…
Title: Nanjing's Ming City Wall: Bridging Heritage and AI - Driven Biomedical Collaboration in BRI The Ming City Wall of Nanjing, a magnificent heritage landmark, stands as a test…
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lockes belief in the social contract between a government and its peopl…
A. citizens should agree to obey their government as long as the government protected their natural rights.
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read the excerpt from chapter 10 of animal farm. for once benjamin cons…
A. reversal, because the commandment has changed in meaning
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christine is a software salesperson. her base salary is $2100 and she m…
(a) \(\$3150\) (b) \(34\) copies
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a plumber charges a flat fee of $74 to visit a home and examine a clogg…
(a): \( \$242 \) ### Part (b)
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a biking track has a length of 4480 feet (ft). how long is this in mile…
The ratio to fill in the blank is $\frac{1\ \text{mi}}{5280\ \text{ft}}$, and the length in miles is $\frac{28}{33} \approx 0.848$ (or as a fraction $\frac{28}{33}$). So the blank…
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use the following information for questions 7 through 12 the great depr…
C. The government allows the free market to determine economic outcomes without interfering. ### Question 8
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use the following information for questions 1 through 4 the second para…
B. 1920 ### Question 2
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at the beginning of a trick, a magician holds up a piece of rope. then …
(a) The appropriate equation is \( \boldsymbol{L - 3.6 = 4.73} \) (choosing the \( \square-\square=\square \) option with \( L \), \( 3.6 \), \( 4.73 \) in the blanks). (b) The le…
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isabel filled up her boat with 161.5 liters of fuel. she wants to know …
(a): \(\boldsymbol{\frac{x}{161.5} = \frac{1}{3.8}}\) (or \(\frac{1}{3.8}=\frac{x}{161.5}\), either correct as proportion) ### Part (b)
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a sign shows that the distance to new york is 18 miles. a traveler want…
### Part (a) # Explanation: ## Step1: Define the proportion We know that 1 mile is equal to 1.6 kilometers. So, the ratio of miles to kilometers should be consistent. For 18 miles…
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the mean game scores and standard deviations of four seasons of a footb…
The game scores of season 2005 have a greater spread than the game scores of season 2006.
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destiny performs a hypothesis test on a population with μ = 115 and σ =…
0.90 (corresponding to the option "0.90")
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dwayne and alisha both correctly graphed a standard normal curve. which…
D. Both the means and the standard deviations of Dwayne’s and Alisha’s graphs must be the same.
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a new car is purchased for 19000 dollars. the value of the car deprecia…
# Explanation: ## Step1: Identify the formula for depreciation The formula for exponential depreciation is $V = P(1 - r)^t$, where $V$ is the final value, $P$ is the principal (in…
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σ² = (87 - 78)² + (46 - 78)² + (90 - 78)² + (78 - 78)² + (89 - 78)²/5 =…
Emi evaluated \((46 - 78)^{2}\) as \(-(32)^{2}\).
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when finding the margin of error for the mean of a normally distributed…
0.79 (the option with 0.79)
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you pick a card at random from an ordinary deck of 52 cards. if the car…
6
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stan guessed on all 10 questions of a multiple-choice quiz. each questi…
0.756 (corresponding to the option with 0.756)
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which statement must be true? each distribution has the same mean and t…
Each distribution has a different mean and a different standard deviation.
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the resting heart rates for 80 women aged 46–55 in a simple random samp…
1.10
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for a standard normal distribution, find the approximate value of ( p(-…
66% (corresponding to the option with 66%)
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glenda checks the computer monitors made at her company for defects. it…
D. Glenda choosing to check 300 monitors. (Assuming the last option is labeled D, if the original labels were different, adjust the label. Since the last option is "Glenda choosin…
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the mean test scores with standard deviations of four english classes a…
The scores of Mrs. Rijo’s class are the closest to the class mean. (Option: The scores of Mrs. Rijo’s class are the closest to the class mean.)
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the table below shows the ages of houses to the nearest year in a neigh…
The graph shown (labeled "Probability Distribution" with bars for ages 1 - 4 having heights approximately matching the calculated probabilities \(\frac{15}{90}\), \(\frac{20}{90}\…
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the mean of a set of credit scores is \\( \\mu = 690 \\) and \\( \\sigm…
$Z_{694}$ is within 1 standard deviation of the mean.
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a high school student volunteers to present a report to the administrat…
C. convenience sampling
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a home improvement store offers two different types of decorative light…
B. 90 small lights and 65 large lights
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entstoamuseum for a field trip. the museum charges a discounted rate of…
The valid combinations (where total tickets ≥ 30) are: A. 24 student tickets and 10 adult tickets B. 28 student tickets and 4 adult tickets D. 30 student tickets and 6 adult ticke…
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a manager is given a budget of a maximum of $150 to purchase pens and p…
The first option: \(5.50x + 6.50y \leq 15\) \(24x + 40y \geq 600\)
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tener + tener expressions - tener means ______ and tener + infinitive m…
Verb chart conjugations: - Yo: tengo - Tú: tienes - Él/Ella/Usted: tiene Tener expressions: - To be hot: tener calor - To be cold: tener frío - To be hungry: tener hambre - To be …
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• tener means ______ infinitive means ______ fill in the verb chart wit…
Assuming the chart has three rows (e.g., for yo, tú, él/ella/usted): First row (yo): tengo Second row (tú): tienes Third row (él/ella/usted): tiene (If the chart is for other subj…
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for a standard normal distribution, which of the following expressions …
\( \boldsymbol{P(z \leq -a) + P(-a \leq z \leq a) + P(z \geq a)} \) (the fourth option)
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a manager of a grocery store wants to determine if consumers are spendi…
The customers spend more than the national average in his store.
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the graph below is used by company 2 to show the average monthly electr…
A. The scale on the y - axis could be changed to 0–150.
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tener + tener expressions - tener means ______________ and tener que + …
First blank: to have; Second blank: to have to (do something)
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jenny is making jewelry for an arts and crafts show. she would like to …
None of the answers
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in juneau, alaska, the 30-year annual snowfall average is 86.7 inches w…
The z - statistic is 1.68, so the null hypothesis cannot be rejected.
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per hour quits and is replaced with a person earning 30 per hour. the g…
The mean decreases, and the median remains the same.
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which normal distribution has the greatest standard deviation? 80 88 96…
(Assuming a typical problem with multiple curves, the curve that is the widest (shortest, most spread) has the greatest standard deviation. If the given curve is one of several, t…
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which normal distribution has the greatest standard deviation?
(Assuming there are multiple curves, the one with the widest spread (flattest, most horizontally extended) among the options has the greatest standard deviation. If the options in…
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which normal distribution has the greatest standard deviation?
(Assuming there were other curves, the one with the widest, flattest shape. But since only one curve is shown, and if we consider typical problems, the curve that is the most spre…
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as a project for math class, two students devised a game in which 3 bla…
Since \( E(\text{black}) \approx 0.24 \) and \( E(\text{red}) \approx 0.16 \), Seth should choose to play black marbles. (The correct option is the first one: "Since \( E(\text{bl…
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they started with 20 dollars.
20
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card 9 before a plane goes on a flight, it needs fuel from a refueling …
C. The fuel in the refueling tank decreases at the same rate that the fuel in the plane increases.
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card 8 sol, axel, and troy have each planted a sunflower seed. the grap…
Sol's plant is growing the fastest because the line representing the height of Sol's plant over time is the steepest among the three lines (Sol's, Axel's, and Troy's), indicating …
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card 7 two friends have summer jobs. let x represent the number of hour…
Arjun makes the most money per hour because his pay - per - hour rate (calculated as the slope of his pay - hours graph, \( \$10 \) per hour) is greater than Kyrie's pay - per - h…
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this graph shows a linear relationship between the number of comic book…
\( y=-4x + 20 \) ### Part (b)
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29. julio walks 264 feet per minute. what is his rate in miles per hour…
A. 3 miles per hour ### Question 30
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an automobile manufacturer finds that 1 in every 2000 automobiles produ…
\( 0.11839 \) (or \( 0.11840 \) depending on rounding, but using R, it's approximately 0.11839)
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find the indicated probabilities using the geometric distribution, the …
\( 0.990 \)
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find the indicated probabilities using the geometric distribution, the …
\( 0.003 \)
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find the indicated probabilities using the geometric distribution, the …
\( 0.001 \)
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dimitri is giving a presentation about how a drop in the housing market…
C. tables of home - sale statistics from the federal government
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find the indicated probabilities using the geometric distribution, the …
\( 0.951\)
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find the indicated probabilities using the geometric distribution, the …
\( 0.015 \)
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find the indicated probabilities using the geometric distribution, the …
\( 0.005\)
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find the indicated probabilities using the geometric distribution, the …
0.090
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find the indicated probabilities using the geometric distribution, the …
\( 0.910 \)
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find the indicated probabilities using the geometric distribution, the …
0.303
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find the indicated probabilities using the geometric distribution, the …
0.805
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find the indicated probabilities using the geometric distribution, the …
\( 0.261 \) (rounded to three decimal places)
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find the indicated probabilities using the geometric distribution, the …
D. None of the events are unusual.
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find the indicated probabilities using the geometric distribution, the …
\( 0.8088 \)
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find the indicated probabilities using the geometric distribution, the …
0.1912
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find the indicated probabilities using the geometric distribution, the …
\( 0.0916 \) (rounded to four decimal places)
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find the indicated probabilities using the geometric distribution, the …
D. None of the events are unusual.
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find the indicated probabilities using the geometric distribution, the …
\( 0.551 \)
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in a random sample of ten people, the mean driving distance to work was…
C. With 90% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval’s endpoints.
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find the indicated probabilities using the geometric distribution, the …
\(0.449\)
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find the indicated probabilities using the geometric distribution, the …
\( 0.081 \)
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in a random sample of ten people, the mean driving distance to work was…
The 90% confidence interval for the population mean \(\mu\) is \((17.7, 24.1)\) miles. This means we are 90% confident that the true population mean driving distance to work lies …
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given that x has a poisson distribution with μ = 9, what is the probabi…
0.0337
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in a random sample of ten people, the mean driving distance to work was…
3.2
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assessment questions meaning of the following sentence? \they began a b…
D. It highlights how protesters persisted despite hardships in order to achieve justice.
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assume the geometric distribution applies. use the given probability of…
\( 0.06561 \)
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decide if the situation involves permutations, combinations, or neither…
B. Combination. The order of the committee members does not matter.
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perform the indicated calculation. ₅₁p₂ ₅₁p₂ = \\square (type a whole n…
2550
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a physics class has 40 students. of these, 11 students are physics majo…
\( 0.55 \)
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probability of passing 50% 60% 80%35. what is the probability that dary…
A. 20% ### Question 36 (Assuming the three tests have passing probabilities 50%, 60%, 80% from the top "Probability of passing 50% 60% 80%". So to pass all three, multiply the pro…
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directions: answer the following on a separate sheet of paper. *** must…
People came to the New World for economic (search for wealth, trade, agriculture), religious (escape persecution, practice faith), social (new start, escape poverty/crowding, seek…
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in a random sample of 23 people, the mean commute time to work was 31.8…
\(3.1\)
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fall final review directions: answer the following on a separate sheet …
History (under Social Science)
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in a random sample of 23 people, the mean commute time to work was 31.8…
The confidence interval for the population mean \(\mu\) is \(28.7<\mu<34.9\) (or in the boxed form as \((28.7, 34.9)\)). The margin of error is approximately \(3.1\) minutes. This…
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in a random sample of 23 people, the mean commute time to work was 31.8…
The 95% confidence interval for the population mean \(\mu\) is \(28.7 < \mu < 34.9\) (rounded to one decimal place). The margin of error is approximately \(3.1\) minutes. We can i…
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construct the indicated confidence interval for the population mean μ u…
\((11.5, 12.7)\)
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construct the indicated confidence interval for the population mean \\(…
\((11.8, 12.4)\)
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construct the indicated confidence interval for the population mean μ u…
\( 12.0 < \mu < 17.6 \)
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a humane society claims that less than 69% of households in a certain c…
Reject the null hypothesis. There is enough evidence to support the society's claim.
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a humane society claims that less than 69% of households in a certain c…
\(0.007\)
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a humane society claims that less than 69% of households in a certain c…
The standardized test statistic $z\approx\boxed{-2.45}$ (rounded to two decimal places). For the P - value, using a z - table or technology (like a calculator or statistical softw…
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family maria is 11 inches shorter than her sister clara. luna is 11 inc…
(Assuming dropdown options relate to these conclusions, e.g.): 1. When Maria = Luna: **Clara is the same height as Chad** 2. When Maria < Luna: **Clara is shorter than Chad** 3. C…
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an education researcher claims that 60% of college students work year -…
(c) The standardized test statistic \( z=\boldsymbol{0.00} \) (d) Fail to reject the null hypothesis. There is not enough evidence to reject the researcher's claim.