統計と確率
データ分析、確率分布、仮説検定、統計手法。
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there are about 90 multiple choice questions and some short essay quest…
government, but not in exchange for a currently produced good or service.
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there are about 90 multiple choice questions and some short essay quest…
the supply of loanable funds and raises interest rates.
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the function $f(t) = 610(0.9975)^{\frac{t}{10}}$ represents the change …
The function is decaying exponentially at a rate of 0.25% every 10 years.
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quiz instructions there are about 90 multiple choice questions and some…
$\$88$
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quiz instructions there are about 90 multiple choice questions and some…
257.14
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for each scenario below, choose the best graph. (a) a ship floats in th…
(a) Third graph (horizontal line: Ship's Distance to Shore remains constant as Time increases) (b) Fourth graph (upward-sloping line: Plane's Speed increases as Time increases)
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quick computing company produces calculators. they have found that the …
158.5
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solving problems with quadratic functions: tutorial photo necessities p…
$c(x) = 6x^2 + 4x - 9$
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word questioning adapted from janet allen are there parts of the word i…
Since the problem is about word analysis and understanding (related to vocabulary and language study), we can fill in the blanks as follows: ### 1. "I think this word means..." (C…
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cups of blueberries used per smoothie x = 1 smoothie what is the combin…
$\frac{1}{2}$ cups
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what is the combined amount of cups that were most commonly used? (with…
$\frac{1}{2}$ cups
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there are 480 dishes that need to be rinsed. ali can rinse them in 120 …
48
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how many cups of blueberries were used in all? x=1 smoothie add subtrac…
$8\frac{1}{4}$ cups
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¿cuál es la solución de? $\\log \\left(2t + 4\ ight) = \\log \\left(14 …
2
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pounds of strawberries picked per person how many people picked 1 2/4 p…
7 people
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word questioning adapted from janet allen are there parts of the word i…
- "Are there parts of the word I recognize?": Yes, 'port' (from 'portrait' - a depiction) and 'ray' (less familiar, but 'port' is recognizable). - "I think this word means...": To…
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what was the difference between the greatest weight of strawberries pic…
$\frac{3}{2}$ pounds (or $1\frac{1}{2}$ pounds)
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discrete random variables – mean *fv stats b beads: 2023-2024 the final…
3
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gallons of lemonade ordered on tuesday x=1 order how many customers ord…
1. 7 customers ordered ½ gallon or more. 2. The most common size ordered is $\frac{5}{8}$ gallon.
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a jeweler put these gemstones out on display today. | gemstone | quanti…
(a) (Top: "Diamonds to Emeralds", Bottom Left: "Diamonds (3)", Bottom Right: "Emeralds (4)" - or appropriate drag - and - drop representation with 3 units for diamonds and 4 units…
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pints of pineapple juice used per day x x x x x x x x x x x x x 0 1/8 2…
$\frac{9}{4}$ pints
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pints of pineapple juice used per day x = 1 day what was the difference…
$\frac{3}{4}$ pints
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cups of blueberries used per smoothie x = 1 smoothie what is the combin…
2 cups
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ear inequalities. is that are solutions. irs that are not solutions. 5.…
## Solution Points: $(0,0)$, $(2,0)$ ## Non-Solution Points: $(0,4)$, $(4,2)$ ## Graph Description: 1. Solid line for $y = \frac{1}{2}x + 1$, shade below the line. 2. Dashed line …
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pints of pineapple juice used per day x x x x x x x x x x x x x 0 1/8 2…
1. 5 days 2. $\frac{9}{4}$ pints
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pints of pineapple juice used per day x = 1 day how many days were ⁶⁄₈ …
5 days $\frac{9}{4}$ pints
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a runner sprinted 103.76 yd to finish a race. use the table of facts to…
311.3 ft
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calculating the standard deviation of a discrete random variable a popu…
The standard deviation of \( M \) is approximately \( 1.25 \) (rounded to two decimal places) or more precisely \( \approx 1.251 \).
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a runner sprinted 103.76 yd to finish a race. use the table of facts to…
311.3 feet
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0.5\\overline{)0.05} 0.9\\overline{)0.801}
\(0.1\) For \(0.9 \enclose{longdiv}{0.801}\):
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a meteor crashed onto a planet, and created a crater that was 15,213.88…
422763.6 yd
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lets practice! 3. find \\( \\frac{5}{6} \\) of \\( \\frac{1}{2} \\). sh…
# Explicación: ## Paso1: Multiplicar los numeradores $\frac{5}{6} \times \frac{1}{2} = \frac{5 \times 1}{6 \times 2}$ ## Paso2: Multiplicar los denominadores $\frac{5 \times 1}{6 …
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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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in the data set below, what are the lower quartile, the median, and the…
lower quartile = \( 33 \) median = \( 40 \) upper quartile = \( 45 \)
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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 are the lower quartile, the median, and the…
lower quartile = \(\boldsymbol{19}\) median = \(\boldsymbol{26}\) upper quartile = \(\boldsymbol{42}\)
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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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write the ratio as a fraction in simplest form, with whole numbers in t…
$\frac{5}{1}$ or 5
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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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write the ratio as a fraction in simplest form, with whole numbers in t…
$\frac{4}{5}$
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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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answer each part. if necessary, round your answers to the nearest hundr…
(a) 0.27 hours per dollar (b) 3.5 pages per minute
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answer each part. if necessary, round your answers to the nearest hundr…
(a) 3.56 dollars per hour (b) 0.13 miles per minute
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answer each part. if necessary, round your answers to the nearest hundr…
(a) 0.39 dollars per pound (b) 5.67 minutes per mile
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answer each part. if necessary, round your answers to the nearest hundr…
(a) 0.13 miles per minute (b) 7 pounds per acre
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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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evaluate. write your answer as a whole number \\(\\frac{10^3}{9^2} = \\…
\(\frac{1000}{81}\) (But as a whole number, it's not possible, but the fraction is \(\frac{1000}{81}\)) Wait, maybe the problem meant \(10^2\) instead of \(10^3\)? If it's \(10^2\…
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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