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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3. cameron stops to get gas soon after beginning a road trip. he checks…
The equation is \( d(t)=\frac{215}{3}t+\frac{80}{3} \) (or in slope - intercept form approximately \( d(t)\approx71.67t + 26.67 \))
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fill in the $p(x = x)$ values to give a legitimate probability distribu…
The missing $P(X=6)$ value is $0.15$, so the completed table is: | value $x$ of $X$ | $P(X=x)$ | |-------------------|----------| | 2 | 0.27 | | 3 | 0.25 | | 4 | 0.21 | | 5 | 0.12…
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question 1: the parking lot holds 176 cars. a) 26 cars leave the lot. c…
a) N cars = 176 cars - 26 cars b) (The corresponding model matching $P = \frac{1}{H}$ with units, e.g., $P \text{ papers/hour} = \frac{1 \text{ set of papers}}{H \text{ hours}}$) …
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how much longer is the sofa than the table? 6 meters 3 meters 2 meters
2 meters
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how much longer is the truck than the car? 2 meters 1 meter 9 meters
1 meter
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initial knowledge check question 14 fill in the $p(x = x)$ values to gi…
For $x=5$, $P(X=x)=0.12$; for $x=6$, $P(X=x)=0.12$ *(Any non-negative values for the two missing probabilities that add up to 0.24 are acceptable, this is one valid solution.)*
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how much longer is the baby bottle than the baby rattle? 3 inches 6 inc…
4 inches
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initial knowledge check question 14 fill in the ( p(x = x) ) values to …
For $x=5$, $P(X=x)=0.125$; for $x=6$, $P(X=x)=0.125$ *(Note: Any pair of non-negative numbers that add to 0.25 is also a valid solution, but equal division is a standard legitimat…
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first, represent the decimal using place value. $7 \\times 0.3 = $ $7 \…
7 × 3 tenths
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mathematical modeling part 1 of 2 1 2 trying to earn: question 1: the p…
Question 1c: $N = 144 - C$ Question 2a: $D = 67 * 6$ Question 2b: $D = 67 * M$ Question 2c: $D = 67*M$
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at a local college, 356 of the male students are smokers and 534 are no…
$\frac{178}{2225}$
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answer the questions below. ? indicate whether its a permutation or a c…
(a) 42840 (b) 12048014
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what do i use for \average\? - extra credit initial post: reply to this…
To complete the initial post, we can create three scenarios as follows: ### Scenario A (Mode) - **Description**: Data is collected on the type of pet (dog, cat, fish, etc.) owned …
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monica analyzes the number of inches of rain that fell on her desert ra…
Question 1: B Question 2: A Question 3: Average, Range Question 4: The rain gauge that measured the rainfall has a broken spring; Monica entered the data and hit a wrong number on…
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a team is selling discount cards as a fundraiser. the table shows the n…
negative
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the seaside inn analyzes the number of guests per week during the sprin…
1. C 2. D 3. Range, Average 4. The data was handwritten, and the person reading the data misread some digits; By mistake, the person entering data removed the last digit of the nu…
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a card is drawn at random from a standard deck. that card is not put ba…
0.1176
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problem 10: spiral review this graph shows a trip on a bike trail durin…
The rider is going back toward the beginning of the trail from \(t = 0\) hours to \(t\approx0.8\) hours (or the interval where the distance from the start decreases with increasin…
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1. solve using a tape diagram. a. \\(\\frac{1}{4}\\) of 24 c. \\(\\frac…
a. 6 c. 12 ### Tape Diagram Context (implied): For part a: A tape divided into 4 equal sections, each labeled 6, with 1 section shaded to represent $\frac{1}{4}$ of 24. For part c…
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the diagram represents three statements about teachers: p, q, and r. fo…
9
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spiral review this graph shows a trip on a bike trail. when was the bik…
To determine when the bike rider was going the fastest, we use the concept that in a distance - time graph, the slope of the line represents speed (\(v=\frac{\Delta d}{\Delta t}\)…
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introduce yourself to your instructor and classmates. be sure to includ…
1. Ethics are moral principles guiding behavior, distinguishing right from wrong. 2. Ethics are important in health/human services to respect client dignity, autonomy, and well - …
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initial knowledge check question 9 the following are the ages of 13 his…
(a) Median: $37$ (b) Lower quartile: $30$ (c) Upper quartile: $43$
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10 a recipe says, 3 parts water to 1 part milk. how much water will you…
A. 6 liters
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9 if there are 10 apples in the fridge and 7 on the table, what is the …
C. 10/17
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7. a softball team has 18 players. if there are 4 more infielders than …
The number of outfielders is 7.
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8 a recipe says, \1 part cocoa to 4 parts sugar.\ how much sugar will y…
D. 80 grams of sugar
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to abandon, leave, forsake, give up to hug, embrace, clasp, cling to ac…
### Matching 1: "to abandon, leave, forsake, give up" - The Spanish verb for this meaning is "abandonar" (since "abandonar" means to abandon). So we match "to abandon, leave, fors…
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initial knowledge check question 8 a weighted number cube has faces lab…
(a) $0.23$ (b) $0.46$
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review the passage. then, select two details that suggest that while so…
1. "A blue tunic, or a red one?" 2. "It's the choosing that's important, isn't it?"
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6. the theater club sold 52 tickets. if they sold 10 more matinee ticke…
21
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(from unit 4, lesson 3.) 4. select the correct drawing and expression t…
D. $16\div2$
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1. when data appears linear, you can use a linear function to create a …
a. exponential function
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initial knowledge check question 7 anagram puzzles involve sets of scra…
0.12
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which of the following words most closely replaces differentiated, as i…
B. distinguished
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vocabulary and concept check 1. writing describe two ways you can use a…
1. Organize equivalent ratios in rows/columns (check if corresponding value ratios are equal). 2. Identify two value pairs from the table and set their ratios equal (e.g., \(\frac…
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vocabulary and concept check 1. writing describe two ways you can use a…
The student needs to score 20 points. Let's solve problem 8:
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instructions for each item, drag and drop the sentence that explains ho…
### First Sentence Pair (Connection) # Brief Explanations: To determine the similarity, we analyze the word "connection". In the first sentence, it's about a causal relationship b…
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find the product. first, represent the decimal using place value. $6 \\…
\(6\times6\) tenths
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5. on tiktok, a video gets three times as many likes as comments, and t…
Number of likes: 72, Number of comments: 24
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12 gayle is saving to buy a bicycle. the bicycle costs $119.90. she has…
$\$83.93$
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12 gayle is saving to buy a bicycle. the bicycle costs $119.90. she has…
$83.93
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function a and function b are linear functions. function a function b x…
The y-intercept of Function A is less than the y-intercept of Function B.
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ws 45b - reverse mean v.1 date: 1-28 period: 1. the mean of four number…
1. 19 2. 15 3. 19 4. 10 5. 10 6. 12 7. 26 8. 9 9. 4 10. 2 11. 25 12. 8 13. 8 14. 15 15. 7
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what does this mean? who says this? what type of literary device is thi…
- What type of literary device is this? Simile - Who says this? Romeo (from William Shakespeare's *Romeo and Juliet*) - What does this mean? It means Juliet stands out beautifully…
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the radius of neptune is about 2.4·10⁴ km. the radius of venus is about…
24
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the proportion ( p ) of residents in a community who recycle has tradit…
(a) $H_0: p = 0.60$; $H_1: p < 0.60$ (b) z-test for a population proportion (c) $-0.667$
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the radius of neptune is about $2.4 \\cdot 10^4$ km. the radius of venu…
The missing factor is \(24\) and the missing exponent (in the box) is \(1\). For the first missing factor (the "?"): \(24\); for the box: \(1\)
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10 it is 9.2 miles between mr. rossi’s place of work and his home. beca…
$36.8$ miles
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evaluate \\( _{12}c_4 \\) and \\( _{10}p_4 \\). (if necessary, consult …
$_{12}\text{C}_{4}=495$ $_{10}\text{P}_{4}=5040$
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\why do people keep asking me about basketball? just because im a tall …
- "Why do people keep asking me about basketball? Just because I'm a tall African American doesn't mean I like the game. I play volleyball, but no one ever asks me about it." → St…
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evaluate (_{12}c_4) and (_{10}p_4). (if necessary, consult a list of fo…
$_{12}C_4 = 495$ $_{10}P_4 = 5040$
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based on the table, which best predicts the end behavior of the graph o…
As $x \to \infty, f(x) \to -\infty$, and as $x \to -\infty$, $f(x) \to -\infty$
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1. professionalism is a combination of what 3 items? 2. what profession…
1. Professionalism combines competence, ethical behavior, and appropriate workplace demeanor. 2. A professional work environment image includes appropriate attire, reliable punctu…
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which table shows a function that is decreasing only over the interval …
The bottom table (with $x$ values -3, -2, -1, 0, 1, 2 and corresponding $f(x)$ values -5, -1, 1, 0, -4, -8)
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round to the nearest tenth. 13 0.43 ______ 14 0.88 ______ 15 0.076 ____…
13. $0.4$ 14. $0.9$ 15. $0.1$ 16. $0.46$ 17. $0.11$ 18. $0.54$
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which table shows a function that is increasing only over the interval …
The table with columns: | $x$ | $f(x)$ | |-----|--------| | -3 | -2 | | -2 | -4 | | -1 | -1 | | 0 | 1 | | 1 | 4 | | 2 | 3 |
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analyzing tables which is a possible turning point for the continuous f…
$(-2, -1)$
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ws 4/a - percent word problems v.1 date solve each problem. 1) 140 is 7…
1) 200 2) 360 3) 10 4) 1550 5) 7.5 6) 90 7) 12 8) 530 9) 875 10) 138 11) 20% 12) 40% 13) 45% 14) 25% 15) 12%
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capitalize names of languages. which of the following sentences uses ca…
A. "Kedu" means "hello" in the Igbo language.
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horatio had a balance of $9.85 on his lunch card. he bought lunch today…
First drop - down: \(-\), Second drop - down: \(8.20\) (The equation is \(16.05 - x = 8.20\))
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historical map across 4 the area along the atlantic ocean formed the 13…
## Across: 4. COLONIES 5. EARLY 7. NEW ORLEANS 8. CHICAGO 9. PENNSYLVANIA 14. KENTUCKY 17. TEXAS 20. FRONTIER 22. OKLAHOMA 23. MICHIGAN 24. MISSISSIPPI ## Down: 1. APPALACHIANS 2.…
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what could the variable ( x ) and inequality reasonably represent? choo…
B. The variable \( x \) could represent the number of minutes in one day that Braxton spent on homework, with \( 7x \) and 210 representing number of minutes in one week that Brax…
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historical map across 4 the area along the atlantic ocean formed the 13…
### Across 4. **COLONIES** 5. **EARLY** 7. **NEW ORLEANS** 8. **CHICAGO** 9. **KENTUCKY** 14. **PENNSYLVANIA** 17. **TEXAS** 20. **FRONTIER** 22. **OKLAHOMA** 23. **ILLINOIS** 24.…
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analyzing tables x | -2 | -1 | 0 | 1 | 2 | 3 f(x) | -8 | 0 | 0 | -2 | 1…
$(-1, 0), (0, 0), (2, 0)$
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identify the correlation coefficient r that is most likely to correspon…
\( r = 0.05 \)
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identify the correlation coefficient ( r ) that is most likely to corre…
\( r = 0.61 \)
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question 6 (2 points) when an unethical therapist or human service agen…
2) keeping the client engaged in services to gain financially
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a cyclist chooses a bike at a bike - sharing station. bike boom the mor…
D. Biking instead of driving in cities helps people and our planet. (assuming the options are labeled A - D in order, with D being the last option about helping people and the pla…
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4. melinda is riding a train to her grandmas house. the train travels a…
B. \( \begin{array}{|c|c|} \hline h & d \\ \hline 1 & 45 \\ \hline 3 & 135 \\ \hline 5 & 225 \\ \hline \end{array} \)
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3. a soccer player has scored 8 more goals than assists. if they have 2…
Goals: 17, Assists: 9
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which model shows that it was sunny \\(\frac{2}{3}\\) of the days in ju…
The third model (the right - most one) shows that it was sunny \(\frac{2}{3}\) of the days in June.
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plot the following numbers on the number line: -4, -1/2, 0, 1 1/2, 3
The numbers are plotted on the number line in the order: $-4$ (leftmost), $-\frac{1}{2}$, $0$, $1\frac{1}{2}$, $3$ (rightmost), with each point positioned at its corresponding val…
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civics chapter 6 section 4 homework the executive branch is organized a…
A. An organization of government departments and agencies
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use the pictures to add. $\\frac{1}{8}+\\frac{1}{8}=\\square$
$\frac{2}{8}$ or simplified $\frac{1}{4}$
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extend the table. the table shows the actual day 4 values. lets settle …
The extended table is as shown above with Avi's Rule and Benita's Rule values calculated for days 5 - 10 using the identified patterns (geometric sequence for Avi, arithmetic sequ…
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use the pictures to add. $\\frac{2}{8}+\\frac{2}{8}=\\square$
$\frac{1}{2}$ (or $\frac{4}{8}$)
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read each relationship and decide whether its graph would be continuous…
## Continuous Graph - the height of a plant as it grows - amount of fuel and distance traveled ## Discrete Graph - number of students per teacher - amount of chairs for each table
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why does the formula use “$n - 1$” in the denominator? the data is a sa…
The data is a sample and is expected to be less dispersed from the mean.
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6 in an experiment, subjects are put into two categories according to s…
A. randomize blocking
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5 a television station interviews five movie viewers after the first sh…
C. suspect samples
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4 by visiting homes door - to - door, a municipality surveys all the ho…
D. cluster
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mathematical modeling part 1 of 2 1 2 trying to earn: question 1: the t…
Question 2a: $A = \frac{700}{12}$ Question 2b: $A = \frac{700}{Y}$ Question 2c: $A = 700/Y$ *(Note: The completed answers for Question 1 are already correctly provided in the imag…
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use the passage to answer the question. in which sentence does the auth…
D. "You may rejoice, I must mourn."
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question 1: the town has 580 people. a) 115 people move away. choose th…
Question 1: a) $580 - 115$ b) $N = 580 - P$ c) $N = 580 - P$ Question 2: a) $\frac{700}{12}$ b) $A = \frac{700}{Y}$ c) $A = 700 / Y$
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vocabulary check select the best definition for the vocabulary term. 1.…
A. The belief that a ruler's power comes directly from God and cannot be questioned.
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question 1: the hospital has 108 beds. a) 26 beds are filled with patie…
Question 2: a) $B = 5 \times 8$ b) $B = 5 \text{ books/year} \times Y \text{ years}$ c) $B = 5 * Y$ --- For Question 1, the provided answers are already correct: a) $\text{N beds}…
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instructions choose the best answer if necessary, use the paper you wer…
3 hours
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question 1 (2 points) solve each proportion. your answer may be a decim…
$6.8$ ### Problem 2: $\boldsymbol{\frac{7}{11}=\frac{18}{x + 1}}$
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review the passage. the verbal irony is shown in bold. mr. john dashwoo…
It suggests John Dashwood is not as nice as he appears.
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hirotos texting plan costs $20 per month, plus $0.05 per text message t…
Both plans cost the same when 50 texts are sent.
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a ____ describes the repeated or regular relationship between terms in …
1. recurrence relation 2. geometric 3. constant (fixed) 4. arithmetic
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40. (02.04 mc) the length of a phone conversation is normally distribut…
0.04746
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4. here are the exam scores for the 15 students in mr. kirk’s statistic…
b. 78
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1. which of the following is the closest z - score to the 90th percenti…
d. \(z = 1.28\) ### Question 2
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86.51 - 54.35; 77.6 - 55.92
First subtraction result: 32.16, Second subtraction result: 21.68 (assuming the numbers are 86.51 - 54.35 and 77.6 - 55.92)
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ella runs a cat rescue center. she started with 2 cats, and her center …
The rightmost graph (with a steep upward line starting at the y-intercept (0, 2)) represents the number of cats per year at Ella's center.
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the graph below shows the distance, y, in feet, of a mouse from its hol…
9 feet; it represents the original distance of the mouse from its hole
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using the space provided below, recreate the flowchart for cows and bul…
(Flowchart Recreation and Symbol Matching) #### Flowchart Recreation (Key Symbols and Flow) - Start (Oval) → Process (`playing = True, gameCount = 0`) → Process (`code = random 4 …
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simplify. write the answer in scientific notation. 15. $(3.8 \\times 10…
\(2\times10^{11}\) ### Question 16