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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which type of error results from mistakes made in collecting data? non …
non-sampling error
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problem 3: scramble chicken farms is interested in the productivity of …
1. First empty dropdown: baskets of eggs (baskets) 2. Second empty dropdown: total eggs (eggs)
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c) graph ( y = f(l) ). d) find the desired length and width. 7. the fol…
### Part (a) To draw the graph: 1. **Set up axes**: Label the x - axis as "Time (s)" and the y - axis as "Height (m)". 2. **Plot points**: Use the given table values. For example,…
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5) choose the correct answers. the mouse population in a certain buildi…
Write a model for this situation: e. \(A(t) = 2,500(0.9)^t\) Using this model, how many mice were present after 3 weeks? d. 1,822 mice How many mice were present after 52 weeks (o…
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the expression $11(1.022)^t$ models the per capita gross domestic produ…
B. The per capita GDP in the US is multiplied by approximately 1.022 each year.
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the expression $60cdot1.2^t$ models the number of nano - related patent…
B. There were 60 nano - related patents granted in 1991.
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the expression $6.7 \\cdot 1.45^t$ models the number of billions of gen…
A. The number of bases in the database is multiplied by 1.45 each year.
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the estimated number of organisms in a population after t days is shown…
\( n = 600(1.2)^{t} \) (the second option among the given choices)
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lesson 11 the circle graph below shows how many volunteers from each of…
4. 60 5. $33\frac{1}{3}$ 6. $18\frac{1}{3}$ 7. $10$ 8. $16\frac{2}{3}$ 9. $13\frac{1}{3}$ 10. $8\frac{1}{3}$
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3) choose the correct answer. in 1970, a rancher stocked one of his pon…
B. $A(t) = 200(1.10)^t$
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problem 3: scramble chicken farms is interested in the productivity of …
1. For the dropdown connected to "total eggs (eggs)", select the division operation, then select **total chickens (chickens)** as the second input for that operation. 2. The final…
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violet, will, and xavier plant a total of 1235 trees. violet plants for…
480
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javier and ercilia are supervisors at a shopping mall. each was given t…
There is no way to determine from these numbers which survey was correct. ### Part (b)
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grace, henry, and irene make sandwiches for a picnic. for every 20 sand…
$4:5:3$
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how much does each one weigh? mashupmath 27.5 lbs 37.5 lbs mc 2.png 1 c…
Each pumpkin weighs 7.5 lbs, each watermelon weighs 2.5 lbs
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javier and ercilia are supervisors at a shopping mall. each was given t…
There is no way to determine from these numbers which survey was correct. ### Part (b)
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writing a system of equations from tables complete the statements about…
(2.2, -2.7)
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1 fill - in - the - blank a smartwatch can track workouts for 12 hours …
50
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a flashlight can shine brightly for 10 hours or dimly for 100 hours. if…
D 30 hours
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a flashlight can shine brightly for 10 hours or dimly for 100 hours. if…
D 30 hours
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seven hundred and seventy - one distance learning students at a large c…
4 ### Part (b)
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jim takes an hour to fold the weekly washing for the whole family. his …
C 20 minutes
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18. this year 0.3 of the x students at mega middle school are in 7th gr…
$x = 980$ The total number of students at Mega Middle School is 980.
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18. this year 0.3 of the x students at mega middle school are in 7th gr…
The total number of students at Mega Middle School is 980.
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companies must pay taxes on their income, and then employees must pay t…
Companies must pay taxes on their earnings, and then stockholders pay taxes on their dividends. the management and board of directors of the targeted firm disapprove of the propos…
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a bag contains 5 red beads, 10 black beads, and 10 green beads. there a…
C. 80%
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henry read $17\\frac{1}{2}$ pages in $\\frac{1}{3}$ of an hour. if he r…
En la línea de horas: $\frac{1}{3}$ En la línea de páginas (primer valor): $17\frac{1}{2}$ En la línea de páginas (para 1 hora): $52\frac{1}{2}$
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Question was provided via image upload.
$5$ --- ### Problem 2
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write the fraction as a percent
20%
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the best camping trip of his life tracy wilson 1 david couldn’t wait to…
C. That he was very happy to see his dad, as happy as he might be if he won the lottery.
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write the fraction as a percent! \\(\\frac{1}{2}=\\square\\%\\)
50%
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bentley drove 329 miles in 7 hours. on average, how fast did he drive, …
47
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#5 write 34% as a fraction or mixed number in simplest form the simples…
$\frac{17}{50}$
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ten adults were asked how many different jobs they have had. their answ…
(a) Mode: 3 (b) Range: 6
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question a grocery store sells a bag of 8 oranges for $4.96. what is th…
\$0.62
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decimal of the day 5.18 write the name of the decimal in words. round t…
\(4.62\) ### Sub - question 2: Divide the decimal (5.18) in half
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b. if this player had 6 at bats in one game this player would get about…
(for part b): The player would get about 2 hits. ### Part c (Explaining the quote):
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who 15% on a random or mended reminder of student front is original for…
$\frac{3}{20}$
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round to the nearest tenth ______ round to the nearest hundredth ______…
\( 4.62 \)
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when ibram first started taking part in student council, he would get a…
1. Which phrase means something similar to temporarily? → for only a short time 2. Which phrase describes what tension feels like in a person's body? → tight and uncomfortable 3. …
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owners of a radio station want to obtain information on the online radi…
A convenience sample from the entire country
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which table shows a linear function?
The third table (with \( x \) values 0, 1, 2, 3 and \( y \) values 5, 8, 11, 14) shows a linear function.
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remy, from the blog apping with remy,\ asked his readers, \if you had t…
No meaningful conclusion is possible without knowing something more about the characteristics of Remy's readers.
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write 45% as a fraction or mixed number in simplest form. the simplest …
$\frac{9}{20}$
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find $f(-11) - 4f^{-1}(2)$.\ | $x$ | $f(x)$ |\ | --- | --- |\ | $1$ | $…
\(-27\)
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the declaration of independence (excerpt) he has refused his assent to …
C. to emphasize the wrongdoings by the king
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find $f^{-1}(-7)$. | $x$ | $f(x)$ | | --- | --- | | 6 | -5 | | 5 | -2 |…
\( -4 \)
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nd $f^{-1}(f(19)) - 2f(f(3))$. | $x$ | $f(x)$ | | --- | --- | | 3 | 5 |…
\( 1 \)
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sandy planted a tree and wanted to record its growth. the graph shows g…
In the scenario, the slope represents the growth rate of the tree per year In the scenario, the y-intercept represents the tree's initial height
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what information can be gained by peter’s vision? choose the best answe…
b. God saves ALL. He will save ALL who believe in Him. ### Second Question (Peter's Words at Cornelius' Baptism)
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name date \a huge feeder, but a poor milker\ what does the expression \…
1. Monopolies consume massive economic resources ("huge feeder") but contribute almost no broad public or economic benefit ("poor milker")—they extract far more value than they cr…
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for 1 - 16, find equivalent fractions to compare. then write >, <, or =…
1. $\frac{5}{6} > \frac{2}{3}$ 2. $\frac{1}{5} < \frac{2}{8}$ 3. $\frac{9}{10} > \frac{3}{4}$ 4. $\frac{3}{4} > \frac{2}{8}$ 5. $\frac{7}{8} > \frac{1}{2}$ 6. $\frac{2}{5} > \frac…
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to whom did shakespeare bequeath the bulk of his possessions? his daugh…
1. his daughter, Susanna 2. semantics
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question 29 (1.7 points) a husband and wife are watching a cable news p…
the creation of different meanings based on social and cultural context. extended railroads and growing urban centers.
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2 select the correct answer. what does the term terraced dynamics mean?…
A. sudden changes in volume level
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interactive practice: use functions to model linear relationships the f…
The total cost is a function of the number of guests.
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quiz 1. you may make a right turn at a red light a. whenever you wish b…
B. After making a full stop and looking both ways ### Question 2
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week 3 thursday quiz types of crimes can you explain what are the 2 dif…
Two common types of crimes (with examples): 1. Felonies (serious, e.g., murder, robbery, burglary) and Misdemeanors (less serious, e.g., petty theft, simple assault, traffic viola…
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lucia is downloading songs to make a playlist for her quinceañera. the …
the time in minutes it takes each song to download
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4. to refract means ______. to bounce off of something to take somethin…
to change direction when you travel through something else
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3. to absorb means ______. to take something in to bounce off of someth…
to take something in
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2. to reflect means ______. to bounce off of something to pass somethin…
to bounce off of something
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the ward family and the ross family each used their sprinklers last sum…
Ward family's sprinkler: 20 hours Ross family's sprinkler: 30 hours
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relative frequency 0.125 0.1875 0.21875 0.25 0.15625 0.0625 tal =
1
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galaxy a has $2 \\times 10^8$ stars. galaxy b has $5 \\times 10^6$ star…
Galaxy A has more stars. Galaxy A has 40 times as many stars as Galaxy B.
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question 4 1 pts if a company can eliminate all sources of variance in …
The predictability of the process is significantly improved.
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read the selection and choose the best answer to each question. the fli…
A. Daedalus sees the air as a means of escape.
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question 7 butler argues that gender acts as a placeholder for various …
A. True
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this type of public land has the highest protections, meaning that you …
A. National Wilderness Areas
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question 24 (2 points) listen we know that as samples get large enough,…
Central Limit Theorem
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the frequency distribution shown is constructed incorrectly. class freq…
- class width is not uniform - a class is omitted
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a city has a population of 7000. its population is decreasing at a rate…
$7000(0.9875)$ (with the implicit exponent $x$ for time periods)
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(c) 0.444… can this be written as a fraction? ○yes ○no give the reason.…
### For (c) 0.444... Can this be written as a fraction? Yes Give the reason: This is a repeating decimal. ### For (d) 0.714352... Can this be written as a fraction? No Give the re…
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fill in the blank 1 point a city has a population of 7000. its populati…
$7000(1 + 0.028)$ (with the understanding that this is the base form of the exponential growth function for the population, with $x$ representing the time variable)
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find class boundaries, midpoint, and width for the class. 42 - 46 part:…
- Class boundaries: $41.5 - 46.5$ - Midpoint: $44$ - Class width: $5$
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for each number, determine if it can be written as a fraction, then sta…
(a) Can this be written as a fraction? Yes Give the reason. This is a terminating decimal. (b) Can this be written as a fraction? Yes Give the reason. This is a repeating decimal.
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(c) 0.555 can this be written as a fraction? ○yes ○no give the reason. …
### For (c) 0.555: Can this be written as a fraction? Yes Give the reason: This is a terminating decimal. ### For (d) $0.2\overline{3}$: Can this be written as a fraction? Yes Giv…
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a city has a population of 7000. its population is decreasing at a rate…
7000(0.969)
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5. the chance of a pregnancy resulting in twins is 3%. a doctor at an o…
E) $\boldsymbol{\dbinom{50}{4}(0.03)^4(0.97)^{46}}$
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4. alison knows baseball statistics and follows major league baseball. …
A) 20
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fill in the blank 4 points a city has a population of 7000. its populat…
1. The correct exponential function: $\boldsymbol{f(x) = 7000(1-0.0175)^x}$ 2. Simplified equation: $\boldsymbol{f(x) = 7000(0.9825)^x}$ 3. Scenario classification: **exponential …
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(a) answer the questions below. is there a cluster from 31 to 32? ∘yes …
(a) Is there a cluster from 31 to 32? No Is there a gap from 26 to 27? Yes Is the data set symmetric? No (b) The peaks of the data set are at 23 ounces and 33 ounces.
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3. customers use the starbucks app for a variety of reasons, such as vi…
a. Random variable: $X$ = number of sample customers using the Starbucks app. $X$ follows a binomial distribution: $X \sim Binomial(n=20, p=0.614)$ b. $\approx 0.175$
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(a) answer the questions below. is there a cluster from 9 to 12? ∘yes ∘…
(a) - Is there a cluster from 9 to 12? Yes - Is there a gap from 7 to 8? Yes - Is the data set symmetric? No (b) The peak of the data set is at 9 miles.
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answer the questions below. (a) the 9 members of a fraternity have the …
(a) Median (b) Mean (c) Mode
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answer the questions below. (a) the 9 members of a fraternity have the …
(a) Median (b) Mean (c) Mode
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9. function c works like this: input: time output: a student’s monday c…
\( C(10:00)=\text{English} \) ### Part (b)
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1. partially visible has 8 kittens. how can she evenly place them in gr…
4 groups of 2 ### Problem 2 (Jason has 50 plants into groups of 5)
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a. $2\\frac{3}{4}$ $2\\frac{7}{8}$
\( \frac{1}{8} \)
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answer the questions below. (a) as part of the u.s. census, the number …
(a) Mode (b) Mean (c) Mean
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2. in a large shipment of smartphone chargers, only 2% are found to be …
a. $X$ is binomial because there are a fixed number of independent trials, two mutually exclusive outcomes, and a constant probability of "success" (finding a defective charger). …
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swer the questions below. (a) as part of the u.s. census, the number of…
(a) Mode (b) Mean (c) Mean
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answer the questions below. (a) the 9 participants in an experiment had…
(a) Mean (b) Mode (c) Median
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solve for x and graph the solution on the number line below. answer att…
Inequality Notation: $x \leq 3$ Number Line: A closed circle at 3 with a shaded arrow pointing to the left.
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read the lines from the poem \the dragonfly.\ you dart into the shadow …
hides
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people spun a wheel that had the numbers from 1 to 5 on it. spinning a …
5
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a survey asked people how many times they visited the mall last month. …
28
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evaluate the expression. $(7.5 \\times 10^4) \\div (3 \\times 10^1)$ $?…
$2.5 \times 10^3$
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this question has two parts. first, answer part a. then, answer part b.…
A. The job market respects university degrees. ### Part B
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initial knowledge check question 14 fill in the $p(x = x)$ values to gi…
| Value $x$ of $X$ | $P(X=x)$ | |-------------------|----------| | 2 | 0.27 | | 3 | 0.25 | | 4 | 0.23 | | 5 | 0.12 | | 6 | 0.13 | *(Note: Alternatively, the 0.02 could be distribu…