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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describing mutually exclusive events when are two events, a and b, mutu…
- when they have no outcomes in common - when \( P(A \text{ or } B) = P(A) + P(B) \)
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working with mutually exclusive events each letter in the word statisti…
\( \frac{3}{10} \) (or 0.3) ### 2. How many of the 10 letters are vowels or the letter T?
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distinguishing between independent events and mutually exclusive events…
- If two events are mutually exclusive, then they \(\boldsymbol{\text{are not}}\) independent. - If two events are independent, then they \(\boldsymbol{\text{are not}}\) mutually …
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1. $(x^2 + 2x + 6)(5x^2 + 2)$ $\\begin{array}{r} x^2 + 2x + 6\\\\ \\tim…
To solve the multiplication of the given polynomials, we'll use the distributive property (also known as the FOIL method extended for polynomials with more terms). Let's solve eac…
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identifying mutually exclusive events suppose you are learning about in…
The child being born on a Wednesday and on the weekend.
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using the multiplication rule for independent events after playing the …
0.36
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multiplication rule for independent events nick decides to play \spin t…
\( 0.94 \)
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math 7 spiral review #18 determine if the given representation shows a …
The relationship is not proportional.
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1. what number is 75% of 320? 2. what percent of 40 is 4? 3. 50 is 20% …
1. 240 2. 10% 3. 250 4. 625 5. 9 6. 16% 7. 10% 8. 80
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question 3: determine which representation – table of values, graph, or…
I would rather use the equation. The cost function for the cell - phone plan is a linear function of the form \( C(x)=mx + b \) (where \( m \) is the monthly fee and \( b \) is th…
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question 3: determine which representation – table of values, graph, or…
I would rather use the equation. The cost function for the cell - phone plan is a linear function of the form \( C(x)=mx + b \) (where \( m \) is the monthly fee and \( b \) is th…
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number of participants 6 5 4 3 2 1 0 1-2 3-4 5-6 7-8 8-9 age (years) wh…
A. The swim class has a total of 16 participants.
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julia’s gym new members which statement best describes the data represe…
C. The most new members in one month is 65.
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for questions 9 - 10, write an expression and use it to solve a real - …
\((s - 3)(s + 5)\) ### Question 10 First, we need to find the side length of the original square bedroom. Wait, from question 9, we know the original bedroom is square, but in que…
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for questions 6 - 8, find the products for each special case. 6. ((2x +…
\(4x^2 + 4x + 1\) ### Problem 7: \((2x + 6)(2x - 6)\)
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question 5 of 8 a jar contains 36 disks: 9 each of four colors—red, gre…
### Part (a) #### Explanation: We have a total of 36 disks (9 of each color: red, green, blue, yellow). Each color has disks numbered 1 - 9. - For the "Blue" row: - Number 8: Ther…
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researchers carried out a survey of fourth-, fifth-, and sixth-grade st…
(a) \(\boldsymbol{0.699}\) (b) \(\boldsymbol{0.301}\)
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select the correct answer. in this line from walt whitmans poem \song o…
E. heights
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select the correct text in the passage. which phrase in this excerpt fr…
"One evening while Farquhar and his wife were sitting on a rustic bench near the entrance to his grounds, a gray-clad soldier rode up to the gate and asked for a drink of water."
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if country a has 164.250 million more computers than country b and the …
Country A has 242100 million computers and country B has 77850 million computers.
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a hospital study of 1369 heart - attack patients found that 3 out of 8 …
\( \frac{3}{8} \) ### Part (b)
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a fishing boat uses $15\\frac{3}{8}$ gallons of fuel on a full - day fi…
480
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the four blades in a four - piece chisel set contain cutting - edge wid…
$\frac{2}{7}$
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assuming that \\(\\sum_{i=0}^{n} a_i = 39\\) and \\(\\sum_{i=0}^{n} b_i…
68
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use the formula \\(\\sum_{i=0}^{n} ar^i = a \\cdot \\frac{1 - r^{n+1}}{…
295240
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17. the amount of meat needed based on the number of lions is shown in …
Equation: $p=30s$ Pounds for 7 lions: 210
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15. consider this table: | x | 1 | 2 | 3 | 4 | | y | 9 | 10 | 11 | 12 |…
$y = x + 8$
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14. the school chorus is selling tickets to its concert. the cost of ea…
| Tickets sold ($t$) | Money collected ($m$) | |---------------------|------------------------| | 1 | 5 | | 2 | 10 | | 5 | 25 | | 11 | 55 | | 18 | 90 | The relationship is $m=5t$
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14. the school chorus is selling tickets to its concert. the cost of ea…
| Tickets sold ($t$) | Money collected ($m$) | |---------------------|------------------------| | 1 | 5 | | 2 | 10 | | 5 | 25 | | 11 | 55 | | 18 | 90 | The relationship is $m=5t$
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12. the martins’ van can hold up to 8 passengers. debbie writes the ine…
C. Debbie should have included 8 as a possible choice. The correct inequality is $p \leq 8$.
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11. which graph represents the solutions of the inequality z < 7? copyr…
The fourth graph (open circle at 7, arrow pointing left towards smaller numbers)
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10. a certain land mass has an elevation of 5.2 yards below sea level. …
B. <the number line with open circle between -6 and -5, arrow pointing right>
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6. select all the sets of numbers that are possible values for x in the…
$\{-1, 0, 5\}$, $\{2, 4, 6\}$
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type your response in the box. explain in your own words the meanings o…
- Rebirth: The act of being born again or experiencing a renewal, revival, or new phase of existence (e.g., of a person, idea, or cultural aspect) after a period of decline, dorma…
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as part of a computer ad, consumers see a young couple walking on a sec…
C. romantic appeal
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question 2 of 10 which pair of words in \one art\ creates a less tradit…
A. Intent, meant
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how many more bricks does she need than pieces of straw? more bricks (b…
3
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2. the following are six lap times recorded in ricky bobbys first car r…
### Part 2a: Calculate Sample Standard Deviation # Explanation: ## Step 1: Find the Mean (\(\bar{x}\)) First, sum the lap times: \(13.12 + 12.87 + 10.08 + 14.24 + 11.32 + 12.65 = …
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researchers decided to investigate which of two popular brands of camer…
## Shape: The shape of the distributions of battery lifespan (hours) for Brand X is right-skewed, and for Brand Y is roughly symmetric. ## Center: Brand X batteries tend not to la…
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select the graphs that show a proportional relationship between x and y.
Both graphs (the left and the right) show a proportional relationship between \( x \) and \( y \) because they are straight lines passing through the origin \((0,0)\), indicating …
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select the equations that show a proportional relationship between x an…
The equations \( y = 4x \) and \( y = 8x \) show a proportional relationship between \( x \) and \( y \) (as they are in the form \( y = kx \) where \( k \) is a non - zero consta…
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select the equations that show a proportional relationship between x an…
The equations that show a proportional relationship between \( x \) and \( y \) are \( \boldsymbol{y = 2x} \) and \( \boldsymbol{y = 5x} \) (as both are in the form \( y = kx \) w…
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select the equations that show a proportional relationship between x an…
The correct equation showing a proportional relationship is \( \boldsymbol{y = 9x} \). The equation \( y = 3x + 9 \) does not represent a proportional relationship (so it should b…
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select the equations that show a proportional relationship between x an…
The equation that shows a proportional relationship between \( x \) and \( y \) is \( y = 3x \). The equation \( y=8x + 7\) does not show a proportional relationship. So the corre…
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select the equations that show a proportional relationship between x an…
The equations \(y = x\) and \(y=10x\) show a proportional relationship between \(x\) and \(y\) (since they are in the form \(y = kx\) with \(k = 1\) and \(k = 10\) respectively, a…
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describing function relationships match each story with the correspondi…
To solve this problem, we analyze each story and match it with the corresponding graph based on the description of altitude (y - axis) vs. time (x - axis) behavior: ### 1. Pilot's…
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select the graphs that show a proportional relationship between x and y.
Both graphs (the left and the right) show a proportional relationship between \( x \) and \( y \) because they are straight lines passing through the origin \((0,0)\), indicating …
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select the correct answer david opened a coffee shop and sold 60 mochas…
D. Multiply (60 - 2x) and (2 + 0.25x) to create the equation \( y = -0.5x^2 + 11x + 120 \)
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brenna’s favorite book is about johnny appleseed, the american pioneer …
The constant of proportionality is \( 1 \) (meaning the tree grows 1 foot per year).
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every sunday, lara and her cousins get together for brunch. this week, …
The constant of proportionality is 2 ounces per orange (so the relationship is \( y = 2x \)).
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neil measures the lengths of some objects in both yards and feet. there…
The constant of proportionality is 3 (feet per yard), and the equation is \( y = 3x \). (If a specific question was, e.g., "How many feet are in 5 yards?", the answer would be \( …
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katie is making her special punch for the starry night homecoming dance…
The constant of proportionality is \(2\)
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marshall likes to make lemonade using the lemons from his grandmothers …
The relationship is \( y = 5x \) (meaning 5 lemons per pitcher of lemonade)
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select the correct answer. which set of data would be best modeled by a…
A. both graphs
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every halloween, trick-or-treaters love going to janelles house to see …
The constant of proportionality (number of caramel chews per kid) is \(\boldsymbol{3}\). (If the question was different, adjust accordingly, but based on the proportional relation…
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pretest: quadratic relationships graph with x-axis labeled day and y-ax…
D. 2.2 miles
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pretest: quadratic relationships the number of cars parked in a public …
C. 75 cars
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select the correct answer. this table represents a quadratic function. …
A. \(\frac{1}{2}\)
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museum visitors which equation best models the graph? a. $n = -2x^2 + 2…
A. \(N = -2x^2 + 20x + 58\)
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read the passage from the farewell speech. i do assure you there is no …
○ emphasizes the speaker's respect and affection for the audience.
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read the passage from hamlet, act i, scene iii. hamlet: ... but tell wh…
☑ canoniz'd bones ☑ hearsed in death ☑ ponderous and marble jaws
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last winter, peters school used 6,400 pounds of rock salt to melt ice o…
No
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last winter, peters school used 6,400 pounds of rock salt to melt ice o…
No
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part 1 of 2 liam has 2,587 toothpicks. he wants to use them all to make…
199 toothpicks per row
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here is a stemplot of the high temperature readings in degrees fahrenhe…
80.6 %
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here is a stemplot of the high temperature readings in degrees fahrenhe…
80.6 %
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instructions to make a dress say that the length of a piece of yellow f…
The length of the yellow fabric is 122 inches. ### Tape Diagram Labeling: - Label the shorter tape (black fabric): $k = 42$ - Label the segment representing the extra length on th…
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multiplying & dividing with significant figures perform the following m…
0.0019
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perform the following mathematical operation, and report the answer to …
0.19
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perform the following mathematical operation, and report the answer to …
0.19
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perform the following mathematical operation, and report the answer to …
0.747
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activity 1 order the fractions from least to greatest. \\(\\frac{9}{9},…
## Activity 1 (least to greatest): $\frac{1}{9}$, $\frac{2}{9}$, $\frac{4}{9}$, $\frac{5}{9}$, $\frac{9}{9}$ ## Activity 2: 1. $12$, $24$ 2. $12$, $24$ 3. $20$, $40$, $60$ 4. $12$…
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perform the following mathematical operation, and report the answer to …
0.011
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multiplying & dividing with significant figures perform the following m…
0.0019
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perform the following mathematical operation, and report the answer wit…
41.0
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in the equation d = 60t, the number 60 represents the ______. the graph…
speed ### Second Question:
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no additional details were added for this assignment. question annie wa…
all homeowners
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the relationship where the ratio of one quantity to another remains con…
proportionality ### 2nd Question
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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 a sprinter keeps track of how long it takes her to run the 200…
ratio
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question what is the type of quantitative data that is the result of me…
continuous
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question use the drop down menu to complete the statement. provide your…
Discrete data is the type of quantitative data that is the result of counting.
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question which of the following best describes the term explanatory var…
the independent variable in an experiment
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details no additional details were added for this assignment. question …
time spent studying
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jason is collecting data on the number of books students have finished …
discrete quantitative data
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question a market researcher surveys households to ask what brand of sh…
nominal
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no additional details were added for this assignment. question a study …
The conclusions should be restricted to only the city that was sampled.
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9 essay 1 point in your own words, describe what the term manifest dest…
Manifest Destiny was a 19th - century American belief that the United States was divinely destined to expand across North America (from the Atlantic to the Pacific), justifying te…
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you make contributions from your bank account investment options your e…
2. Both can be right depending on a person's tax situation: those expecting higher future tax rates benefit from a Roth IRA, while those expecting lower future tax rates benefit f…
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question 1 (1 point) providing free prescription medications for all pa…
A. horizontal equity ### Question 2
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35 last week jerry worked at burgers - to - go 8\\frac{1}{2} hours on s…
B. $16\frac{1}{2}$ hr
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oscar sells organic produce from a roadside stand. in one hour, he sold…
D. $13\frac{1}{4}$ pounds
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which model correctly shows the problem $\frac{2}{6} \times \frac{1}{5}…
The fourth model (the right - most one) correctly shows the problem $\frac{2}{6}\times\frac{1}{5}$.
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express the following in scientific notation: .000457 457 × 10⁶ 4.57 ×1…
D. \( 4.57 \times 10^{-4} \) (assuming the fourth option is labeled D, if the options are labeled A - D as A. \( 457 \times 10^6 \), B. \( 4.57 \times 10^4 \), C. \( 457 \times 10…
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tomatoes and cucumbers were planted in a vegetable garden in the ratio …
28
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the table shows the number of students at two middle schools. | school …
214
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question 1 a dog breeder recorded the weight of a puppy during the firs…
A. For every month after the puppy is born, the weight increases by 0.28 pounds.
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answer attempt 2 out of 2 inequality notation: x ≤ 6 or x ≥ 9 number li…
To graph the inequality \( x \leq 6 \) or \( x \geq 9 \) on the number line: ### Step 1: Graph \( x \leq 6 \) - Locate 6 on the number line. - Since \( x \leq 6 \) includes 6, we …
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dynamic module practice (ra1fl m05) reals\。 -7 ≤ p ≤ -1 correct answer:…
To graph $-7 \leq p \leq -1$: 1. Place a closed (filled) circle at $-7$ on the number line (because $p$ can equal $-7$). 2. Place a closed (filled) circle at $-1$ on the number li…
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part 3 of 3 (c) fill in the blanks. the cereal box must weigh greater t…
The cereal box must weigh greater than \(\boldsymbol{25}\) ounces and less than \(\boldsymbol{26}\) ounces in order to pass the quality assurance test. This can be represented by …