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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on a plot of land, 48.0% of the square footage is farmland and the rema…
19.6
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read the following prompt. identify the important information and then …
Jill began with 40 comic books.
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8 mark for review x 0 5 10 y n n + 24 n + 48 there is a linear relation…
\(\frac{24}{5}\) (or 4.8)
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11. how did mass production change the price and availability of snack …
Mass production of snack cakes likely decreased their price (because economies of scale reduced per - unit production costs) and increased their availability (as higher production…
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problem: when planted, 15 inches long; two weeks later it was 22 inches…
To graph: Plot (0,15), (2,22), (4,36). Equation: \( \boldsymbol{y = \frac{7}{8}x^2 + \frac{7}{4}x + 15} \) (or \( y = 0.875x^2 + 1.75x + 15 \))
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problem: 3 holds 250 people, age 16 paid $2.50 per ticket, while everyo…
The two equations are \( x + y = 250 \) and \( 2.5x + 4y = 916 \) (where \( x \) = number of 16 - year - olds, \( y \) = number of non - 16 - year - olds)
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true or false: an economy is defined as the production and distribution…
True
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directions: answer each question. be sure to label your answers. name: …
The function is $V(t) = 18000(0.75)^t$, and the value after 4 years is $\$5695.2$. ### Problem 2:
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nora left her house and drove to the store. she stopped and went inside…
7 minutes
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ap free response practice (past ap exam questions) approximately 3.5 pe…
The probability is approximately \( 0.114 \) ### Part (b)
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and the temperature, in degrees fahrenheit. during that time, the tempe…
72 degrees Fahrenheit (or 72°F)
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six gallons of a salt solution consists of 35 % salt. it is the result …
\((3, 3)\)
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in an essay examining mid - twentieth - century architectural movements…
D. Architects like Alison and Peter Smithson conceived of their unadorned concrete structures as democratic spaces where the building's honesty about its own construction mirrored…
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mr. dean often told funny stories about his pet cat, snowball, to his c…
10
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hanson estimated it would take him 6 days to read the latest installmen…
\(66.7\)
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estelle trained all month for the 100-meter dash at her schools annual …
12.75
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tori was shopping for a new dress for her schools spring dance. she spe…
60
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the organizers of the deer creek music festival expected 1,200 people a…
1500
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mr. johnson predicted the average score on the vocabulary test he gave …
92.4
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larry took his new puppy, belle, to the veterinarian. before the visit,…
5.0%
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lunas pet miniature pig, fiona, weighed 50 pounds at her one-year check…
53
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it rained 1.5 inches in drake city yesterday. the meteorologists rainfa…
1.2
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when kenny bought his new guinea pig, the pet store told him it would w…
10.0%
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ron and his friends like to send messages to one another. one evening, …
35
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for example, interpreter natalie austin, in an interview for colorado p…
First blank: an interview Second blank: sign language Third blank: when rap Fourth blank: sounds Fifth blank: meanings The reordered sentence: For example, interpreter Natalie Aus…
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amount consumed each trial vs. time (s) t = 0 s, 8 items eaten t = 4 s,…
D. A constant amount is eaten
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amount consumed each trial vs. time (s) how many items are consumed at …
6
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amount consumed each trial vs. time (s) how many items are consumed at …
8 (corresponding to the option with 8)
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american sign language (asl) interpreter when requested, which means so…
A. passed ### Second Dropdown:
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multiple events probability and statistics find the probability that ev…
\(\frac{15}{19}\)
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find the probability that event a or b will occur. a: $\frac{4}{15}$, b…
\(\frac{11}{15}\)
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$$sum_{i=4}^{6} i$$
15
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his scale ht of a building. what r? topic: inequalities e, then graph t…
The solution to the inequality \(\frac{x}{3}+\frac{5}{6}\geq\frac{x}{2}+\frac{1}{3}\) is \(x\leq3\). To graph it, draw a number line, plot a closed circle at 3 (since the inequali…
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a. nags body b. the human boy c. a baby cobra d. a cobra egg 3. which o…
a. Darzee's wife ### Question 4
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name: rikki - tikki - tavi 1. for whom did darzee sing a mournful death…
b. Nag ### Question 2
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find the product. 81 × 0.01 = ?
0.81
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mel3e – mathematics for everyday life four: use common ratios (equivale…
### Part a: # Explanation: ## Step1: Cross - multiply the proportion Given the proportion \(\frac{5}{12}=\frac{x}{48}\), cross - multiplying gives us \(12\times x = 5\times48\). #…
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4 find the product. 56 × 0.81 = ?
$0.56$
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now, write the product as a decimal. 206 × 0.01 = 206 hundredths = ?
$2.06$
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now, write the product as a decimal. 206 × 0.01 = 206 hundredths = ?
$2.06$
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6. first, sort the cards that show ways the model can be represented. e…
- Equivalent: \(206 \times 0.01\), 206 hundredths - Not Equivalent: \(200 \times 6\), 206 tenths
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lets play \collect them all!\ collect them all! 7 × 0.01 7 hundredths r…
0.07
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lets play \collect them all\ collect them all 7 × 0.01 round 1: choose …
a) 7 hundredths
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y = -6x² + 100x - 180 x = selling price of each soccer ball y = daily p…
The zeroes of the function are approximately \(2.05\) and \(14.61\). ### Second Sub - Question: What do the zeroes mean in context?
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lets play \collect them all!\ round 1: choose and collect the correct r…
\(7\times0.01\)
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jonah is packing snacks for a family trip. he makes 12 servings of gran…
\( 1.2 \)
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later in the speech, michelle obama says... \and today, as first lady, …
d. genuine ### Question 10 (Allusion in the Quote)
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49 which expression can be represented by the model? 16 × 0.1 1 × 0.6 1…
\( 16 \times 0.1 \)
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now, write the product as a decimal. 7 × 0.1 = 7 tenths = ?
$0.7$
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first, sort the cards that show ways the model can be represented. equi…
To solve this, we analyze each card: ### Step 1: Interpret "7 tenths" "7 tenths" means \( 7 \times \frac{1}{10} \) or \( 7 \times 0.1 \) (since \( \frac{1}{10} = 0.1 \)). ### Step…
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5. does the graph show a proportional relationship? if so, find the con…
This graph does **not** represent a proportional relationship.
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to make a shade of paint called jasper green, mix 4 quarts of green pai…
24 quarts
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the plot below shows the amount of liquid remaining in 5 basketball pla…
9
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read the following excerpt from wongs testimony to congress. which of t…
C. accosted
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question image x | y -1 | 1 2 | -14 5 | -29 8 | -44 q. select all repre…
The slope of the table is \(\boxed{-5}\). To determine which representations have the same slope, we check if their slope is also \(-5\).
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which of the following changes could be made to thunberg’s speech to th…
adding information about her credibility as a speaker to establish ethos
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which of the following quotes from does speech best shows how he uses e…
B. "I was raised single - handedly by my mother. Our resilience and self - belief made it possible for me to be alive today."
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question 3 1 pts which is the primary purpose of the measurement perfor…
C. Assesses project performance and initiate actions for maintaining acceptable performance
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question 1 which is a potential outcome of using vanity metrics? ○ can …
C. Can lead to misguided decisions about the project's direction
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function w gives the weight of a cat, in kilograms, when it is m months…
B. The cat weighs 4 kilograms when it is 7 months old.
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read the following excerpt from autumn peltier’s speech to the united n…
This makes me sad and angry and confused and frustrated.
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after years of taking exclusively academic electives, rehana finally re…
3. They allow the reader to understand the effect of the teacher’s instructions on Rehana.
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jefferson should move forward with its plan to build storm - water stor…
2. It does not sufficiently emphasize the environmental benefits of the plan to build underground storm - water storage tanks.
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traffic james is driving 75 miles per hour on an interstate highway. wr…
The inequality is \( 40\leq75 - n\leq70 \), and the solution for \( n \) is \( 5\leq n\leq35 \)
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swimming christy’s best time in the 50-yard freestyle is 32.56 seconds.…
The variable \( x \) represents the number of seconds Christy needs to swim faster. The inequality is \( 32.56 - x \leq 25.99 \). Christy needs to swim \( 6.57 \) seconds faster t…
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read the following passage from chapters 23 and 24 of shelley’s franken…
Freed from or relieved of a burden
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read the following passage from chapters 23 and 24 of shelley’s franken…
An insulting or critical remark that is meant to hurt someone or make someone appear foolish
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solve the inequality \\(\\frac{\\log_{7}(49x) - 3}{\\log_{7}^{2}x + \\l…
The solution of the inequality is \(0<x<\frac{1}{49}\) or \(x > 1\)
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what is the closest meaning of ennui? ○ boredom ○ sleepiness ○ weakness…
A. Boredom
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which of the following words means to disagree and argue? ○ remonstrate…
Debar
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another name for the end line is the _______. 1 point ○ sideline ○ base…
B. baseline ### Second Question:
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7. the table shows the amounts of potatoes and chicken in different - s…
The number represents the number of ounces of chicken per ounce of potatoes in the soup recipe.
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10. ilan can type 325 words in 5 minutes. for each question, explain or…
a. 455 words b. 12 minutes
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8. a store is offering 2 specials: 8 bracelets for $13.20 or 6 bracelet…
Jada should buy 6 orders of the 8-bracelet special; Car B is faster.
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6. a train travels 65 miles per hour for 3 hours. complete the table. |…
The completed table is: | time (hours) | distance (miles) | miles per hour | |--------------|------------------|----------------| | 1 | 65 | 65 | | 2 | 130 | 65 | | 3 | 195 | 65 |…
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3. costs of homes can be very different in different parts of the unite…
The price per square foot is \(\$405\). ### Part (b)
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4. a green paint mixture uses 5 cups of yellow paint for every 4 cups o…
The completed table (filling in the missing values) is as above. The missing values are \( 1.25 \) (for yellow when blue is 1), \( 0.8 \) (for blue when yellow is 1), \( 6.25 \) (…
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2. here are the prices for bottles of water that are the same brand and…
Store Y offers the best deal because the cost per bottle at Store Y (26 cents) is less than the cost per bottle at Store X (27 cents) and Store Z (28 cents).
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name: keydan quirino date: 12-22-25 class 601 unit 3 hw #2 1. jada and …
Lin was moving faster because Jada's speed was \( \frac{18}{4}=4.5 \) meters per second and Lin's speed was \( \frac{33}{6} = 5.5 \) meters per second, and \( 5.5>4.5 \).
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(b) the figure below is a histogram of 200 diameters obtained by using …
Method 1 was most likely used. The histogram has two distinct clusters (modes), suggesting sampling from multiple sources (e.g., different machines) with varying diameters, consis…
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(b) the figure below is a histogram of 200 diameters obtained by using …
Method 2. Method 1. Normal distribution with mean 6 inches and standard deviation \( \frac{0.11}{\sqrt{200}} \approx 0.0078 \) inch. Method 1. Method 1.
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the median of 5, 7, 2, 9, 8 is: 5 7 8 6
B. 7
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a box contains 4 red balls and 6 blue balls. two balls are drawn withou…
$\frac{2}{15}$
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the median of 5, 7, 2, 9, 8 is: 5 7 8 6
B. 7 (assuming the options are labeled as A. 5, B. 7, C. 8, D. 6)
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bridging differences pre-test complete 1 2 3 tolerating ambiguity means…
a. accepting more uncertainty than usual
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find the rate of change of pete’s height from 3 to 5 years. time(years)…
The rate of change of Pete’s height from 3 to 5 years is 4 cm per year.
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13 the function h(x) is used to calculate the average height, in of a t…
6
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the function h(x) is used to calculate the average height, in inches, o…
(1) 6
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2 what is the value of the third quartile in the box plot shown below? …
(3) 36
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ii a class of 20 students was surveyed to determine the number of pets …
(2) The median and the mode are the same.
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the box plots below summarize the ages of athletes on the swim team and…
(4) The range of ages of the swim team is smaller than the range of the track team (Wait, no, according to calculations, it's larger, but maybe the plot is different. But based on…
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skill #4: statistics - mean, median, mode and range median is the middl…
(2) 50
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wayde van niekerk, a runner from south africa, ran 400 meters in 43.03 …
(4) \( \frac{400\ \text{m}}{43.03\ \text{sec}} \cdot \frac{1000\ \text{m}}{0.62\ \text{mi}} \cdot \frac{3600\ \text{sec}}{1\ \text{hr}} \) (Note: The meter - mile fraction may hav…
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just want to make sure youre reading the playbook. we have to be at the…
C) Shotgun Y Trips Offset Strong Flood
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the function ( h(x) ) is used to calculate the average height, in inche…
(1) 6
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skill #2 unit conversions you cannot have the same unit show up twice i…
(3) $\boldsymbol{\frac{3240\ \text{ft}^3}{1\ \text{pool}} \cdot \frac{7.5\ \text{gal}}{1\ \text{ft}^3} \cdot \frac{1\ \text{truck load}}{6000\ \text{gal}}}$ (Wait, no, correction:…
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($\\frac{2}{3}$ + $\\frac{1}{6}$)
$\frac{5}{6}$
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(c) if we construct a 90% confidence interval for the percentage of u.s…
false
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a circle divided into six sectors with numbers 8, 13, 18, 24, 39 and a …
6
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there is a circle divided into six sectors. the numbers in the sectors …
5