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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additional example #1 if two regular six - sided dice are rolled at the…
$\frac{5}{12}$ (corresponding to the option with $\frac{5}{12}$)
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what is the probability that a number selected at random from the set {…
G. \(\frac{3}{8}\) ### Second Problem: Probability of cube neither blue nor yellow
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read the excerpt below. the ticking clock in \the masque of the red dea…
D. representation
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colors of marbles in a bag color | number red | 8 blue | 10 green | 22 …
D. \(\frac{10}{40}\)
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voice type number of singers countertenor 4 tenor 6 baritone 10 bass 5 …
B. 0.40
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finding probability: guided practice each face of a fair 14 - sided die…
A. \(\frac{1}{14}\) ### Second Question (Marble probability)
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samples spaces: your turn in a window display at a flower shop, there a…
D. 120
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zhao uses the equation, $63.25 = 800r + 3.50$ to represent the situatio…
B. The charge per kilowatt - hour
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secession. even though the civil war technically settled the issue of s…
### My Introduction: The Civil War and Reconstruction aimed to create a more equal society by ending slavery and granting legal rights to Black Americans, yet deep - rooted white …
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5. during a field trip, 168 students were divided into 14 equal groups.…
12
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4. the candidates for mayor had 2 debates. the first debate lasted \\(\…
The second debate was 2 hours long.
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2. during primrose schools annual walk for education, reba walked $5\\f…
B. \( 7\frac{13}{30} \)
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1.2 homework ~ graphing functions, composition of functions, and piece …
A. Evaluate \( C(D(5)) \)
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5. the dot plots show the numbers of childrens books purchased by custo…
### Problem 5 (Dot Plots for Bookstores) #### Part a: Mode Comparison - **Step 1: Find Mode for Store 1** Count dots at each value: - 0: 2, 1: 3, 2: 5, 3: 3, 4: 1, 5: 4, 6: 2. Mod…
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12/20 what is the meaning of \quién\ where what when who
D. who
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what is the meaning of \cuánto\ where how many how much what
B. how many, C. how much
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what is the meaning of \dónde\ who when where what
C. where
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determine $p(\\text{junior} | \\text{pop})$. enter the answer in the sp…
75
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which of the following tables could represent a function? a. input 1 2 …
A. (The table where Input is 1, 2, 3, 4, 5 and Output is 0, 5, 2.5, 5, 8)
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what is the meaning of \cudi\ when what which who
C. which
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what is the meaning of \¿cuándo?\ who where why when
when
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problems 3 - 4: determine whether each table could represent a function…
- Problem 3: The table does not represent a function because the input values \(1\) and \(4\) each have more than one output. - Problem 4: The table represents a function because …
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problems 3–4: determine whether each table could represent a function. …
s: ## Problem 3: The table does not represent a function. Because the input value \(1\) is associated with two different output values (\(1\) and \(-1\)), and the input value \(4\…
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use the table to answer each question round each answer to the nearest …
### First Part (Calculating Percentage, e.g., Percentage of Sophomores who like Hip Hop or similar) Let's assume we need to find the percentage of sophomores who like hip - hop. #…
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14. the national credit union association (ncua) a. insures deposits at…
14. A. Insures deposits at credit unions 15. C. Not enough money in an account to cover a transaction 16. B. Covers transactions when there is not enough money in an account 17. C…
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7. a credit union is: a. a for - profit business b. owned by the federa…
7. C. A member-owned financial institution 8. B. Pay directly from their checking account 9. C. Put money into an account 10. B. Sign the back of it 11. C. A computerized movement…
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2. a bad check is a check that: a. is written in the wrong color b. is …
2. C. Cannot be paid because there is not enough money in the account 3. B. A financial institution that accepts deposits and makes loans 4. C. Exchange goods or services without …
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try a practice problem for solving a square binomial! remember, use the…
9x^2+24x+16
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using the foil technique, solve (3x+2)(x+3). simplify. do not use any s…
3x^2+11x+6
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use the data in the following table, which lists drive - thru order acc…
\(0.677\)
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determine the probability of the given complementary event. what is the…
0.52
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a research center poll showed that 82% of people believe that it is mor…
0.18
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there are 15,958,866 adults in a region. if a polling organization rand…
A. The selections are dependent, because the selection is done without replacement. ### Second Question (Treating Dependent Selections as Independent)
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when randomly selecting adults, let m denote the event of randomly sele…
D. The probability of getting a male, given that someone with blue eyes has been selected For the second question (are they the same):
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6. the cost for 7 dance lessons is $82. the cost for 11 dance lessons i…
The linear equation is \(C = 10\ell+12\), and the cost of 4 lessons is \(\$52\). ### Problem 7
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when randomly selecting an adult, a denotes the event of selecting some…
\( P(A) \) represents the probability of selecting an adult with blue eyes. \( P(\overline{A}) \) represents the probability of selecting an adult who does not have blue eyes.
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40 algebra, functions, and data analysis in exercises 13 - 16, use the …
New value: $\$103.95$ Cumulative effect: 38.6% growth (growth factor) --- ### For Exercises 15:
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the value of a house from the years 1955 - 2007 is given by the formula…
The value of the house in 1967 is 50824.
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describing the median-fit method | x | y | | x | y | |----|------| |---…
- The left summary point is (38, 97.25). - The middle summary point is (52, 110.5).
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applying the median-fit method the table includes the size of roofs (x)…
$y = 5.64x + 3365$ *(Note: Rounding slope to 5.6 or 6 and intercept to a nearby whole number is also acceptable for approximation; 5.6x + 3400 or 6x + 3000 are reasonable alternat…
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find the ratio. then find and interpret the value of the ratio. fruit p…
The ratio is $1:6$.
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find the ratio. then find and interpret the value of the ratio. fruit p…
The ratio is \( 4:2 \) (or simplified \( 2:1 \)). The value of the ratio \( \frac{4}{2}=2 \), meaning for every 2 cups of white grape juice, there are 4 cups of club soda (or for …
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2 a population of cheetahs has decreased 30% over the last 18 years. if…
Percent decrease: 30% Original population: 12,000 cheetahs #### Part B
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math homework: proportional relationships as equations 1. three candy b…
1. (c) $s = 4c$ 2. (a) $c = 2t$ 3. (b) $c = 0.83p$ 4. (c) $\frac{2}{3}$ cups
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fill in the blank to make the two fractions equivalent. \\(\\frac{3}{5}…
12
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in this section, youll recognize a challenge and how to apply a growth …
D. Lack of time to focus on improving the code
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what is the recursive definition for this sequence? -1, 1, -1, 1, ... \…
\( f(0)=\boldsymbol{-1} \), \( f(n)=\boldsymbol{-1}f(n - 1)+\boldsymbol{0} \)
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finally, what is the general term definition for this sequence? 2, 12, …
\( f(n)=2\times(6)^{n} \) (So the first box is \( 2 \) and the second box is \( 6 \))
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what is the recursive definition for this sequence? 2, 12, 72, 432, ...…
The recursive definition is \( \begin{cases} f(0) = 2 \\ f(n) = 6f(n - 1)+0 \end{cases} \) So \( f(0)=\boldsymbol{2} \), the coefficient of \( f(n - 1) \) is \( \boldsymbol{6} \),…
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what is the recursive definition for this sequence? -4, -3, -2, -1, ...…
\( f(0) = -4 \) \( f(n) = 1\times f(n - 1) + 1 \) (or simplified as \( f(n) = f(n - 1) + 1 \))
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what is the recursive definition for this sequence? 13, 8, 3, -2, ... \…
\( f(0) = 13 \), \( f(n)=1\times f(n - 1)+(-5) \) (or \( f(n)=f(n - 1)-5 \))
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what is the recursive definition for this sequence? -1, -5, -25, -125, …
\( f(0)=-1 \), \( f(n) = 5f(n - 1)+0 \)
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you can say 6 letters of the alphabet every second. how many seconds wi…
4
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what is the total value of the coins below? (coins image) 63 cents
63
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what is the total value of the coins below? coins image blank cents rel…
63
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which set of coins could sanji have? choose 1 answer: a image of coins …
A. The set of coins shown in Option A (with a quarter, a dime, two nickels, and two pennies)
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beth has 51¢. which set of coins could beth have? choose 1 answer: a 2 …
B. 3 dimes, 4 nickels, and 1 penny
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problem 12: spiral review a group of 12 students from the science club …
60 (corresponding to the option with 60)
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a states progressive math system can be modeled with the piecewise func…
$\$4,450$
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problems 9–11: spiral review calculate each percentage. 25% of 400 75% …
100 ### 75% of 200
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problems 6 - 8: spiral review fill in each blank with a number that mak…
- The first blank can be \( 7 \) (any number greater than \( 6.1 \) is acceptable). - The second blank is \( 6.1 \). - The third blank can be \( 6 \) (any number less than \( 6.1 …
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what fraction of the shapes are red? there are four oval - shaped figur…
$\frac{1}{4}$ (Numerator: 1, Denominator: 4)
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5. lydia drove 216 miles and used 6 gallons of gasoline on a recent tri…
36 miles per gallon
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1.2.7 quiz: analyze story structure question 5 of 10 what is one effect…
C. The reader is meant to guess about the nature of the conflict.
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4. what is the ratio of white stars to black stars? options: 7 to 12, 5…
B. 5 to 7
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2. marty had 10 pens. four of these pens were blue. what is one way to …
1. $\frac{2}{5}$ 2. 23 cans
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there are three groups of cube models. each group is composed of small …
899 735 267
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there are three groups of cube models. the first group: 5 long strips o…
850 713 628
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i - ready compare and contrast point of view — quiz — level d salty sti…
For the first dropdown (Santi's beach visits): often For the second dropdown (Santi's mountain visits): once
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one group less; 10 × 41 = 410; 9 × 41 = ?
$9 \times 41 = 369$
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one group less 10 × 30 = 300 9 × 30 = ?
$9 \times 30 = 270$
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10 × 30 = ?
300
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question which of the following best describes the term explanatory var…
D. the independent variable in an experiment
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question true or false? an explanatory variable is a value or component…
False
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question a new mother keeps track of the time when her baby wakes up ea…
Interval
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question patrick is collecting data on shoe sizes available at a shoe s…
B. discrete quantitative
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question is the statement below true or false? continuous is the type o…
False
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question which of the following scale levels would be best to measure t…
B. Ordinal scale level
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question in 2014, the website phonearena polled users, asking them whic…
A. Nominal scale level
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question which of the following is continuous data? select all correct …
B. A survey management company measured how much time each participant takes to complete a survey. C. An environmental researcher measured the average length of the fish in a cert…
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question which of the following surveys have quantitative data? select …
C. A 2015 CDC Survey on family growth asked women how many times they have been pregnant. D. A survey on youth health asked participants for the number of sports they played in th…
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3. a factory produces items with weights recorded as (5, 5, 5, 5, 5, 5,…
d. Unimodal
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2. a dot plot shows most data points clustered between 5 and 15, with a…
d. Left - skewed
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1. when interpreting a dot plot, what might a clustering of dots indica…
c. A concentration of values
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what would a standard deviation of 0 indicate about a dataset? a. the d…
b. All data points are the same
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what is the symbol used to represent standard deviation? a. $\\sigma$ b…
a. $\sigma$
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what does a standard deviation measure in a dataset? a. the total numbe…
b. The dispersion or spread around the mean
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find the missing values in the ratio table. then write the equivalent r…
Missing Calories: 80; Missing Miles: $\frac{1}{12}$, $\frac{3}{4}$ Equivalent ratios: 20 : $\frac{1}{6}$ 80 : $\frac{2}{3}$ 10 : $\frac{1}{12}$ 90 : $\frac{3}{4}$ (Or simplified a…
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the daily steps recorded over five days are 2000, 3000, 4000, 7000, 900…
c. High variability
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a data set has the following values: 5,7,9,11,13. what is the mean of t…
c. 9
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find the ratio. then find and interpret the value of the ratio. fruit p…
The value of the ratio is \(\frac{3}{2}\). The amount of lime juice is \(\frac{3}{2}\) times the amount of mint leaves.
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when comparing two datasets, if one has a standard deviation of 5 and t…
d. The dataset with a standard deviation of 10 has more variability
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find the ratio. then find and interpret the value of the ratio. fruit p…
The value of the ratio is \(\boldsymbol{\frac{8}{3}}\). The amount of white grape juice is \(\boldsymbol{\frac{8}{3}}\) times the amount of sugar.
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what is the purpose of squaring deviations when calculating variance? a…
d. To eliminate negative values and emphasize larger differences
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the number of hours students spent studying for a test are 2,4,4,5,7. c…
d. 1.82, showing moderate variability in study times
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find the ratio. then find and interpret the value of the ratio. fruit p…
The value of the ratio is $\frac{1}{6}$. The amount of mint leaves is $\frac{1}{6}$ the amount of chopped watermelon.
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what is the symbol used to represent variance? a. $\\sigma$ b. $\\sigma…
b. $\boldsymbol{\sigma^{2}}$
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yesterday, \\(\\frac{4}{7}\\) of the 210 students in a contest gave the…
120 students
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khalil and faith are adding chocolate chips to a batch of pre-made cook…
Khalil's cookies will be more chocolaty.
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7. a recipe for 1 batch of muffins calls for (\frac{3}{4}) cup of almon…
8