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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5. bank account x has an initial deposit of $2,000 in week 0 and grows …
Account Y equals Account X at week 6. ### Problem 6a
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to support a shelf, the diameter of a bolt can measure anywhere from 0.…
The graph with closed circles at \(1.3\) and \(1.7\) (or the corresponding positions on the number line) and the region between them shaded (the fourth graph in the given set, ass…
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a political polling agency predicts candidate a will win an election wi…
\( 50 \leq x \leq 58 \) (the third option: \( 50 \leq x \leq 58 \))
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in the data set below, what are the lower quartile, the median, and the…
lower quartile \(= 31\) median \(= 52\) upper quartile \(= 87\)
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in the data set below, what is the interquartile range? 21 21 25 29 35 …
28
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write the ratio as a fraction in simplest form, with whole numbers in t…
$\frac{9}{5}$
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a. what is the initial balance in the account, to the nearest hundred? …
The initial balance, to the nearest hundred, is $\$1000$ (this answer is based on the assumption of a typical graph for such problems. The actual value depends on the given graph)…
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in the data set below, what is the interquartile range? 1 2 2 3 3 4 6 6…
\(4\)
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set 1: beseeched commended deter illusion oppression when the united st…
1. My Answer: Oppression My Reason: They were denied political representation and a voice in governing the nation, which is unfair subjugation. 2. My Answer: Deter My Reason: She …
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in the data set below, what is the interquartile range? 15 16 16 17 22 …
\( 50 \)
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khadija is blocking off several rooms in a hotel for guests coming to h…
Number of small rooms $x = 8$, number of large rooms $y = 6$ (Graph: Two lines intersecting at the coordinate (8, 6))
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6. technology required. use a graphing calculator to determine the equa…
The equation of the line of best fit is \(y = 1.23x+0.15\)
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15) \\frac{12.84 + x}{2.89} = -2.166
$x\approx - 19.10$ (or $x=-19.09974$)
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14) -13.9 + \\frac{p}{12.8} = -13.306
\(p = 7.6032\)
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select all the correct answers graphs a, b, c, d as shown which graph s…
C. graph C, D. graph D
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trinh is catering a wedding that 112 people will attend. she is making …
B. 42
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set 1: beseeched commended deter illusion oppression 1. when the united…
## My Answer: Oppression ## My Reason: They were unjustly denied political representation and a voice in governing the nation, which is a form of oppression.
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10) \\frac{n - 12.9}{6.1} = -0.377
\(n = 9.13\)
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directions: go through the lyrics below to look for examples of simile …
- Metaphor 1 (green highlight): You really are a heel - Metaphor 2 (green highlight): Mr. Grinch, you're a bad banana - Metaphor 3 (green highlight): Your heart's an empty hole (N…
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10) \\frac{n - 12.9}{6.1} = -0.37
$n = 9.2$
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#11 find the quotient. write your answer in scientific notation. $(2.8 …
\(1.12\times 10^{-2}\)
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write the number in scientific notation. 10,700,000 = 10.7 × 10⁶
\( 1.07 \times 10^{7} \)
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estimate first, then find the exact answer. 9. start at 1.95. move forw…
Estimate: 5 Exact answer: 4.825
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write the number in scientific notation. 840,000 = \\boxed{8.4 \\times …
\( 8.4 \times 10^5 \)
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8) -8.38v + 10.71 = 131.382 -10.71 -10.71
\(v = - 14.4\)
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find the quotient. write your answer in scientific notation.\\((2.8 \\t…
\(1.12\times 10^{-2}\)
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find the quotient. write your answer in scientific notation. $(5.8 \\ti…
$2.9\times 10^{-3}$
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5) \\frac{v}{10.44} - 2.9 = -4.422
$v = - 15.8688$
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a construction crew has just built a new road. they worked for 6 weeks.…
92.16 kilometers
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6. a liquid level gauge is used to measure the water level in a water t…
(Table completion): | duration of emptying (hours) | liquid level gauge reading (centimeters) | |------------------------------|------------------------------------------| | 0 | 4…
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hong went for a drive in his new car. he drove 187.5 miles in 3 hours. …
62.5 miles per hour
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donna is riding her bicycle. she rides for 11.2 kilometers at a speed o…
1.6 hours
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denise is riding her bicycle. she rides for 11.2 kilometers at a speed …
1.6 hours
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3) \\frac{-10.5 + m}{11.57} = -2.748
$m \approx -21.3044$ (rounded to four decimal places) or depending on the required precision, $m \approx -21.30$ (rounded to two decimal places) or $m = -21.30436$ (exact value fr…
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julia’s gym recorded the number of new members signups each month for 1…
C. The most new members in one month is 65.
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this box plot summarizes the ages of people in line at a store. which t…
D. The range of ages is 60 F. The median age is 28
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6. the number of miles clare rode her bike this year is 50 miles. she p…
The difference in the number of miles from year to year is increasing (not constant). ### Part c
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c. perform each calculation and simplify. 1. $\\dbinom{5}{3} =$ 2. $_{6…
To solve these combination problems, we use the formula for combinations: $$\binom{n}{k} = C(n, k) = \frac{n!}{k!(n - k)!}$$ where \( n! = n \times (n - 1) \times \dots \times 1 \…
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2. a ribbon is 5.2 m long. you cut off 1.86 m, then another 0.75 m. how…
\(2.59\)
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chau is on the swim team. each week he swims a total of 1,000,000 meter…
$1000\ \text{km}$
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18. what did colonization mean for european powers during the age of ex…
c. Establishing a colony away from one's original home
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2. the graph shows the amount of water in a cup that is sitting outside…
Point A: \( (2, 2430) \) Point B: \( (3, 2187) \) Point C: \( (4, 1968.3) \) (or approximately \( (4, 1968) \)) (If we use the graph's visual grid, we can also see that at x = 2 (…
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answer each part. if necessary, round your answers to the nearest hundr…
(a) 0.27 hours per dollar (b) 3.50 pages per minute
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suppose a satellite orbiting earth travels 350 kilometers in 56 seconds…
(a) $\boldsymbol{\frac{d}{8} = \frac{350}{56}}$ (b) $\boldsymbol{50}$ kilometers
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at fumikos fish market, it costs $9 for 2 kilograms of tuna. at this ra…
(a) $\boldsymbol{\frac{C}{10} = \frac{9}{2}}$ (b) $\boldsymbol{45}$
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in the city of syracuse, 6 meters of snow fall in 30 days. at this rate…
(a) $\boldsymbol{\frac{6}{30} = \frac{24}{t}}$ (or equivalent like $\frac{30}{6} = \frac{t}{24}$) (b) $\boldsymbol{120}$ days
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boris purchased 21.5 centimeters of wire for $17.20. find the unit pric…
$\$0.80$ per centimeter
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it costs $3.15 for a pack of 15 pens. find the unit price in dollars pe…
$\$0.21$
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which scenario can be modeled using the graph below? <---|---|---|---•-…
A. A temperature range is within 5 degrees of 60 degrees Fahrenheit.
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9. z varies directly with x and inversely with y. z=6 when x=9 and y=3.…
B. z = 4
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jeremy rides a ferris wheel. the graph shows h, jeremy’s height above t…
\(10\leq h\leq50\) (corresponding to the option: \(10\leq h\leq50\))
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in a scale drawing of a painting, 1 centimeter represents 7 inches. ima…
(a) 63 inches (b) 4 centimeters
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18. what economic idea drove many european countries to explore and col…
b. Mercantilism focused on exports and collecting wealth
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7. solve the equation ( a + bx = c ) for ( x ) a ( x = \frac{c + a}{b} …
$\boldsymbol{B.\ x = \frac{c-a}{b}}$ --- ### Question 8
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donnas class measured the widths of 9 buttons. draw a dot plot for the …
The completed dot plot will have: - 2 dots positioned above $\boldsymbol{\frac{2}{4}}$ - 3 dots positioned above $\boldsymbol{1\frac{1}{4}}$ - 1 dot positioned above $\boldsymbol{…
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vocabulary in context read the passage. home, home on the range people …
1. In the passage, exhausted means extremely tired, so worn out that cowboys could only eat and sleep after a long day of work. 2. Cowboys needed to be alert during thunderstorms …
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brian’s class measured the lengths of 10 leaves. draw a dot plot for th…
The completed dot plot has: - 1 dot above $3\frac{1}{4}$ - 2 dots above $3\frac{2}{4}$ - 1 dot above $3\frac{3}{4}$ - 1 dot above $4$ - 2 dots above $4\frac{1}{4}$ - 3 dots above …
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6. function p is defined so that its output p(t) is the number of peopl…
24 months after the apartment building was constructed, there are 125 people living in it. ### Part b
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the image shows statdisk output summarizing a numeric data set. how man…
300
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rafael’s class measured the widths of 8 belts. draw a dot plot for the …
A dot plot where: - 3 dots are placed above $1\frac{2}{4}$ - 1 dot is placed above $2\frac{1}{4}$ - 2 dots are placed above $2\frac{3}{4}$ - 2 dots are placed above $3$ on the pro…
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how to do mr. fullyloves work the incredibly human henson bayze - highl…
11. **alone**: Feeling like no one else can relate to or understand your experiences, with no companionship or empathy from others.
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write \\(\frac{34}{20}\\) as a percentage.
170%
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reasoning tell whether the rates are equivalent. $7\\frac{1}{2}$ miles …
yes
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4. to make a shade of paint called jasper green, mix 4 quarts of green …
27 quarts --- ### Problem 5a
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teresa is having a party. shell have 3 tables for every 12 guests. comp…
| Number of guests | 12 | 20 | 28 | 32 | 40 | |------------------|----|----|----|----|----| | Number of tables | 3 | 5 | 7 | 8 | 10 |
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modeling real life you can sand \\(\\frac{4}{9}\\) square yard of wood …
2.8$\overline{4}$ square yards
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the equation shown is used in statistics to relate z, the z - score of …
\( x - zd \)
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problem solving in january 2012, the u.s. population was about 313 mill…
2.2
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manuel is driving his motorhome. it uses 4 gallons of gas for every 32 …
| Number of gallons | 1 | 4 | 7 | 8 | 10 | |-------------------|---|---|---|---|----| | Distance (miles) | 8 | 32 | 56 | 64 | 80 |
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(after) winter break review packet - due monday 1/12/26 1. a cyclist ro…
1a. $12.5$ miles per hour 1b. $\frac{9}{25}$ (or 0.36) hours 2. The least expensive per pound is ham ($\approx\$8.29$), and the most expensive per pound is roast beef ($\approx\$1…
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(after) winter break review packet - due monday 1/13/20 1. a cyclist ro…
1a. $32.5$ miles per hour 1b. $\frac{9}{65}$ hours 2. The least expensive per pound is roast beef ($\$8.25$), and the most expensive per pound is turkey ($\$11.30$). This is deter…
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a printer is printing photos. for every 6 photos, the printer takes 2 m…
Filled table values (in order of empty cells): Number of photos: 9, 15, 30 Time (minutes): 7 Completed table: | Number of photos | 6 | 9 | 15 | 21 | 30 | |-------------------|---|…
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irina rode her bike to work at an average speed of 16 miles per hour. i…
0.7 of an hour
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chang is having a party. hell have 4 tables for every 20 guests. comple…
| Number of guests | 20 | 25 | 35 | 45 | 50 | |-------------------|----|----|----|----|----| | Number of tables | 4 | 5 | 7 | 9 | 10 |
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name date period 6. petri dish a has 20,000 microorganisms and grows by…
### Part (a) # Explanation: ## Step 1: Define the growth models For Petri dish A, the initial number of microorganisms \( P_A(0) = 20000 \) and it grows by 2000 each week. So the …
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explore different ways to solve a problem with a single percent. cyrus …
\$198.75
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use the problem from the previous page to help you understand how to so…
The original price is marked down by \( 20\% \). We know this because the expression \( (110)(0.80) \) implies that we are paying \( 80\% \) of the original price (since \( 0.80=\…
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craig ran the first part of a race with an average speed of 8 miles per…
The third table (with Run: Rate = 8, Time = t, Distance = 8t; Bike: Rate = 20, Time = 1.125 - t, Distance = 20(1.125 - t))
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solving mixture problems shelby mixes a 25% bleach solution with 5 cups…
10
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function machines - creating equations name: write an equation to show …
### Problem 1 # Explanation: ## Step1: Anal[SSE onError error]
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the word fracture means \crack.\ which could have a fracture in it? ice…
ice
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the word formula means \the ingredients or steps to make something.\ wh…
Mix together flour, water, and yeast, and then knead the dough.
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look at the word formula in the passage below. people have been drinkin…
the ingredients or steps to make something
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dr. bhatia mixes 2 liters of a 5% saline solution with x liters of a 9%…
6
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the word flurry means \a burst of many things happening at once.\ which…
C. an exciting new video game becoming available
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caffeine content of different kinds of beverages eight-ounce beverage |…
Leo drank 2 servings of espresso.
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look at the word flurry in the passage below. tylers first morning at c…
D. a burst of many things happening at once
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a 24-ounce mocha beverage with whipped cream has 25% of the calories al…
20%
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the word maneuver means \a movement that requires skill.\ which of thes…
jumping to catch a fast - moving ball
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look at the word maneuvers in the passage below. when bessie coleman de…
a movement that requires skill
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the word prosperous means \having wealth or success.\ which of these mi…
many barns and tractors
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look at the word prosperous in the passage below. more than a thousand …
having wealth or success
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in a lab, a 30% acid solution is being mixed with a 5% acid solution to…
\( 1:4 \) (corresponding to the option "1 : 4")
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ages, x | vocabulary size, y 3 | 1100 4 | 1300 4 | 1500 5 | 2100 6 | 26…
The predicted number of words in the vocabulary of a 9 - year - old is \(4092.64\) ### Sub - question 3: Find the residual for a child of age 5.
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the word prior means \earlier or before.\ which step would likely come …
putting the ingredients in a bowl
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look at the word prior in the passage below. cinderella looked at the j…
A. earlier or before
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examples 2 and 3 5. phone numbers what is the probability that a 7 - di…
$\frac{1}{420}$
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select the text from the paragraph that best helps you understand that …
If government officials catch people trying to sell elephant ivory, they confiscate it. By seizing the ivory, the officials can destroy the tusks so they can't be sold. (or the sh…
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8) which graph has the greater rate of change? (graph with two lines la…
Park B
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read the passage and then answer the question. millions of elephants on…
take for legal reasons