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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1. graph the solutions to ( p > -2 ) on the number line. 2. for parts (…
1. (Graph description: Open circle at $-2$ on the number line, with an arrow pointing to the right towards positive infinity) 2. a. $13, 24, 28, 36$ b. $0$
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a. if the two countries decided to combine their resources, what is the…
a. 700 tons b. 475 tons
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2. a population, p, is described by the model $p(t) = 100(0.87)^t$ wher…
(a) 100 (b) -13% (or -0.13) (c) ≈-13.93% (or ≈-0.1393)
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question event a: rolling an odd number on a fair die. event b: rolling…
- Event A and Event B are mutually exclusive. (This option is correct as $A\cap B = \varnothing$) - Event A and Event C are mutually exclusive. (This option is correct as $A\cap C…
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question you have a fair die, with six faces containing the numbers 1,2…
D. No, the events are not mutually exclusive because they share the common outcome of 1.
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a. if mountain mack splits his week evenly between carving fishing lure…
a. 25 fishing lures and 45 duck decoys b. 40 fishing lures and 25 duck decoys
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if ( a ) and ( b ) are events with ( p(a) = 0.5 ), ( p(b) = 0.3 ), ( p(…
\( 0.13 \)
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mr. and mrs. motley picked their crops. use the data in the chart to so…
45 apples ### Problem 4: We need to find two addends that sum to 25. One possible pair is 20 and 5 since \( 20 + 5 = 25 \). (Other pairs like 10 and 15, 15 and 10, 25 and 0, etc.,…
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linear equations w/ distribution (day 2) item 1/3 possibly iwo question…
\(x = 10\)
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a41 - arithmetic sequences score: 17/19 answered: 17/19 question 18 seq…
168
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linear equations w/ distribution (lev 2) score: 0/3 penalty: none quest…
\( x=-1 \)
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question 17 consider a population that grows according to the recursive…
\( P_1=\boldsymbol{150} \) \( P_2=\boldsymbol{270} \) \( P(n)=\boldsymbol{120n + 30} \) \( P(100)=\boldsymbol{12030} \)
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write the next three numbers in the sequence below 13, 23, 33, 43, 53, …
s: - Next three numbers: \( 63, 73, 83 \) - Common Difference: \( 10 \) - Function formula: \( t(n) = 10n + 3 \) - \( t(60) = 603 \) - \( n \) when \( t(n) = 1193 \): \( 119 \)
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if ( a ) and ( b ) are events with ( p(a) = 0.4 ), ( p(a \text{ or } b)…
\( 0.5 \)
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question if ( a ) and ( b ) are events with ( p(a) = 0.5 ), ( p(a \text…
\( 0.3 \)
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rudy and elizabeth both deliver the daily read newspaper to homes in di…
Rudy delivered newspapers at a faster rate.
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question there are two known issues with a certain model of new car. th…
\( 0.9 \)
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tori is in the school play, which had 4 sold - out performances over th…
250 tickets per show
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are these ratios equivalent? 28 staff members for every 42 campers 4 st…
yes
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are these ratios equivalent? 10 amateurs for every 23 professionals 15 …
no
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are these ratios equivalent? 10 amateurs for every 23 professionals 15 …
no
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liana hikes slowly away from her campsite for 30 minutes. then she rest…
The top - left graph (with a rising segment, a flat segment, and a steeper falling segment)
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complete the ratio table. 11 22 44 88 8 32 48 64
Lower blank: 16, Upper blank: 66 Completed table: | 11 | 22 | 44 | 66 | 88 | |----|----|----|----|----| | 8 | 16 | 32 | 48 | 64 |
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mr. harris attaches a small tank of propane to his grill. then he turns…
La gráfica inferior izquierda (donde la cantidad de propano disminuye a medida que aumenta el tiempo).
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complete the ratio table. 15 45 60 75 90 2 □ □ 10 12 save answer
First empty box (above 45): 6 Second empty box (above 60): 8
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choose the correct proportion. options: \\(\\frac{2}{3.61} = \\frac{4}{…
$\frac{3}{3.61} = \frac{6}{7.22}$
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complete the ratio table. 7 21 42 77 84 8 \boxed{} \boxed{} 88 96 save …
First blank (next to 21): 24 Second blank (next to 42): 48
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9 georgia has 4 1/3 cups of sugar. she used 1 3/4 cups to bake a batch …
1. $\frac{37}{20}$ cups (or $1\frac{17}{20}$ cups) 2. $\frac{11}{6}$ hours (or $1\frac{5}{6}$ hours)
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linear equations w/ distribution (lev 1) issac 1/1 pending: 10:00 quest…
\(h = 10\)
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linear equations w/ distribution (lev 1) score: 0/5 penalty: none quest…
\( x=-10 \)
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think about the process the graph shows the speed of your neighbors car…
C. Identify the lines that have a slope of zero ### Now, find the number of constant intervals:
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2. a hairdresser mixes brunette hair colouring for a client using 20 ml…
$\frac{20}{3}$
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equations and solutions expressions and number sentences 1. write a num…
### Completed Table: | Description | Number Sentence | True or False | True Number Sentence | |-------------|-----------------|---------------|----------------------| | The quotie…
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6. a cafeteria starts with 750 fish sticks for lunch. each meal they se…
n = 118
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instructions read the question carefully and select the best answer. wh…
C. false vision
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in a class, 15 of the students have brown eyes and 10 have blue eyes. w…
1. $\frac{3}{5}$ 2. $\frac{3}{2}$ cups 3. $\frac{13}{45}$ 4. 3 cookies 5. 11.91 pounds
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4. the maximum number of marbles in the jar is 3,400. write an inequali…
\( m \leq 3400 \) (where \( m \) is the number of marbles in the jar)
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monday sarah has ¼ of a pizza and her mother has ⅓ of a pizza. how much…
## Monday Answers: 1. $\frac{19}{20}$ 2. 9 cups 3. $1\frac{1}{3}$ pizzas 4. 32 pieces 5. 10.24 miles ## Tuesday Answers: 1. $9\frac{3}{4}$ feet 2. $\frac{1}{6}$ 3. $2\frac{4}{25}$…
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the data points show an ocean trench’s depth ( y ) (in feet) at a dista…
(a) Figure 2 (b) 1698.9 feet
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the data points show the distance ( y ) (in meters) required to stop a …
(a) Figure 1 (b) 522.8 meters
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3 input\toutput 0\t1 1\t3 2\t5 3\t7 4\t9 7\t15 9\t19 12\t25 15\t31 18\t…
s: ### Problem 3 - Input to Output: Output = \( 2\times \text{Input}+1 \) - Output to Input: Input=\( \frac{\text{Output}-1}{2} \) - Input Equation: \( x=\frac{y - 1}{2} \) (where…
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directions: - complete each table by filling in the missing numbers for…
### Problem 1 # Explanation: ## Step 1: Identify the pattern (Input to Output) Looking at the input-output pairs: when input is 0, output is 0; input 1, output 3; input 2, output …
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5. a fair of coins is tossed. find the probability of getting a. at lea…
To solve the probability problems related to the Venn diagram (assuming the total number of students and the regions in the Venn diagram for Science Club (S), Math Club (M), and A…
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at blue coral bays annual beach clean - up, volunteers work together to…
$80(x + 1.5) = 360$
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source: bureau of the census, washington, d.c. 1990; and randolph campb…
1. 182,566 2. 30% 3. 29% of white Texas families owned slaves; 71% did not. 4. Slave-owning Texans likely feared losing their extremely valuable enslaved people (who were worth fa…
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instructions complete the chart by dragging and dropping the correct me…
| Term | Form | Meaning | |------|------|---------| | apostrophe (contractions) | noun | punctuation to replace a letter or letters that have been omitted in a contraction | | apo…
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document a source: bureau of the census, washington, d.c., 1860 and ham…
1. 182,566 2. 30% 3. 29% of white Texas families owned slaves; 71% did not. 4. Slave-owning Texans likely feared losing their extremely valuable enslaved people (who were worth fa…
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lesson 15 - homework directions: read brown girl dreaming pp. 149 - 153…
Every stanza on p. 149 begins the same way (anaphora) to emphasize a core theme (e.g., Aunt Kay, shared memories), create rhythmic consistency, and unify the text. This repetition…
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5- donne un rapport équivalent à chacun des rapports suivants. a) \\(\\…
# Exercice 5 # Explication: ## Étape 1: Simplifier le rapport fractionnaire On divise le numérateur et le dénominateur par leur plus grand commun diviseur (4) : $\frac{16 \div 4}{…
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david is adding water to a swimming pool at a constant rate. the table …
(a) - Selected statement: As time increases, the amount of water in the pool increases. - Rate: 11 gallons per minute (b) 75 gallons
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compare the data from the two dot plots. morning shift afternoon shift
The Morning Shift data is concentrated at lower values (around 4 - 7) with a smaller range, while the Afternoon Shift data is concentrated at higher values (around 5 - 12) with a …
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at a factory workers are draining a large vat containing water. the wat…
(a) 860 liters (b) - Selected statement: As time increases, the amount of water in the vat decreases. - Rate of decrease: 18 liters per minute - Rate of increase: 0 liters per min…
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lamar is printing extra flyers to distribute. the flyers are printed at…
(a) 62 flyers (b) - Selected statement: As time increases, the number of flyers Lamar has increases. - Rate: 3 flyers per minute
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7. 0 / 1 points practice another assume that we want to identify a simp…
108, 290, 201, 292, 322, 9, 244, 249, 226, 125, 147, 113 ### For the second sub - question (using the first column, starting with 271):
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the employees at a popular, local coffee shop either work a morning shi…
- **Center**: The median wake - up time for morning shift employees is earlier (around 5 - 6 am) than that for afternoon shift employees (around 9 - 10 am). - **Spread**: The wake…
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information about the students at jackson high school is shown in the t…
A. Out of the 352 eleventh graders at the school, 173 of them are girls.
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a bicycle lock has a four - digit code. the possible digits, 0 through …
0.1
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a bicycle lock requires a two - digit code of numbers 1 through 9, and …
\(P(\text{both even})=\frac{(_{4}P_{1})(_{3}P_{1})}{_{9}P_{2}}\) (the first option)
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how many whole loaves does each person get? 1 what can you do to contin…
\(1.4\)
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use the chips to add. 4 + (-2) (a) show how to do the problem. click he…
$2$
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the amount of money in a savings account over time is given in the tabl…
Exponential function would better model the data because as $x$ increases, the $y$ values change by a nearly constant multiplicative factor. The growth factor of this function is …
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question 7 4 pts scanning means to put your trip on the internet. look …
D. glance quickly and continually.
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the amount of money in a savings account over time is given in the tabl…
Exponential function would better model the data because as $x$ increases, the $y$ values change by a nearly constant multiplicative factor. The growth factor of this function is …
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a ladder is 6 feet 10 inches tall. how tall is it in inches?
82 in
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a board is 90 inches long. how long is it in feet and inches?
7 ft 6 in
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there are 4 jacks and 13 clubs in a standard 52 - card deck of playing …
A. \( \frac{4}{13} \)
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type the correct answer in each box. kayla has a bowl of beads that con…
First box: 30 Second box: 46
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kelpe used 3.5 cups of batter to make a cake. he wants to know how much…
(a) Double number line: - Left (cups): 0, 3.5 - Right (fluid ounces): 0, 28 (b) 28 fluid ounces
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select the correct answer. of the 27 players trying out for the school …
D. \(\frac{5}{9}\)
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select the correct answer. in a group of 55 people, 33 are coffee drink…
D. \(\frac{2}{11}\)
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isabel used 22 quarts of gasoline on a road trip. she wants to know how…
(a) Double number line: Top (quarts): Left box = 0, Right box = 22 Bottom (gallons): Left box = 0, Right box = 5.5 (b) $5.5$ gallons
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type the correct answer in the box. if necessary, use / for the fractio…
$\frac{29}{40}$
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using measures of center and variability to drag the values of the mini…
minimum: $3.1$ Q1: $3.4$ median: $3.7$ Q3: $5.2$ maximum: $6.3$
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build a boxplot using the data for com-coms download speed. what is the…
45
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build a boxplot using the data for com-com’s download speed. what is th…
45
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using measures of center and variability to compare data - tutorial - l…
5.3
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build a boxplot using the data for com-com’s download speed. what is th…
$9.1$
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using measures of center and variability to compare data - tutorial - l…
$6.5$
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using measures of center and variability to compare data tutorial level…
The median (8.8 seconds) more accurately represents the typical download time, as the mean is skewed upward by the outlier value of 45 seconds.
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what is com - coms median amount of download time, in seconds, for 15 l…
8.8 seconds
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what is com-com’s mean amount of download time, in seconds, for the 15 …
10.27 seconds
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2) calculate the mean of the data 9, 10, 12, 13, 13, 13, 15, 15, 16, 16…
The mean of the data is \(16.75\)
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5 mrs chua poured 8 ℓ of oil into some bottles. each bottle contained \…
10 bottles
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devi made 10 pancakes for all the children at a party. each child at th…
50
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3 there is \\(\\frac{5}{6}\\) of a pie on a table. mother cuts the pie …
\(\frac{1}{12}\)
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there are nine train stations in a certain county. the blue line and re…
(a) Descriptive form: The set of stations along the Blue Line (b) Roster form: {Belen, Ozark, Utica, Flint, Provo} (c) Roster form: {Belen, Ozark, Utica, Arbor, Dover, Huron, Sale…
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a certain college offers free tutoring for nine subjects. here is the t…
(a) Descriptive form: The set of subjects offered for tutoring on Monday or Wednesday (b) Roster form: {Art, Bio, Econ, Psych, Chem, English, Stats} (c) Descriptive form: The set …
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a certain college offers free tutoring for nine subjects. here is the t…
For part (b), the roster form is $\{ \text{Art}, \text{Bio}, \text{Chem}, \text{Econ}, \text{English}, \text{Psych}, \text{Stats} \}$
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on friday nights, a television network airs four sitcoms and three dram…
1. The set containing the drama most watched by women and the drama least watched by men in the Friday night line-up: Yes 2. The set containing only the show in the Friday night l…
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module 2 - quiz 2 started: feb 8 at 3:11am quiz instructions this quiz …
Pareto chart
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problem 4 making a prediction got it? a. use the graph of the sales inf…
a. A conjecture is that backpack sales in June will be around 8000 units, continuing the steady monthly downward trend seen from November to May. b. No, it is not reasonable. The …
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approximately how many loaves will each person get? less than 1 loaf be…
Between 1 and 2 loaves
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practice make a conjecture for each scenario. show your work. 5. the su…
5. The sum of the first 100 positive even numbers is 10100 6. The product of two odd numbers is an odd number
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practice use the sequence and inductive reasoning to make a conjecture.…
3. The color of the thirtieth figure is red. 4. The shape of the fortieth figure is star.
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problem 2 using inductive reasoning got it? what conjecture can you mak…
The twenty-first term is B.
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a group of 9 students hands out 567 flyers for a school play. each stud…
\(567\div9 = 63\)
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which of the following sets of data represent valid functions? m = {(-5…
The sets that represent valid functions are \( \boldsymbol{Z=\{(0, - 4),(3,2),(5,4),(7,9),(12,10)\}} \), \( \boldsymbol{H=\{(-4,-5),(1,2),(5,4),(7,9),(16,13)\}} \), and \( \boldsy…
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based on the data shown below, calculate the regression line (each valu…
\( y = 1.22x + 7.26 \)
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a) state the random variables. x = the fertility rate of a randomly sel…
For part c), the coefficient of determination \( r^2 = 0.897 \), and the percentage of variation in \( Y \) (average life expectancy) explained by \( X \) (fertility rate) is \( 8…
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3. jared has mowed \\(\\frac{2}{5}\\) of the yard. abby says that jared…
Abby is not correct. Because \(\frac{4}{6}\) simplifies to \(\frac{2}{3}\), and \(\frac{2}{5}\) (the fraction of the yard Jared actually mowed) is not equal to \(\frac{2}{3}\) (th…