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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a cereal manufacturer distributes cases of cereal to grocery stores. ea…
\(307 < 11b + 32 < 318\) (or simplified to \(25 < b < 26\) but the first form is from the total weight setup as required for part (a))
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select the correct answer. what is the meaning of the word chivalry? a.…
C. a knightly system of honor
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grade & section: directions: read each question carefully. choose the l…
c. Factor ### Question 2
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tomas has \\(\frac{1}{6}\\) of his action figures left over after he do…
\(\frac{1}{18}\)
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katie is very clumsy. she trips up one of every seven stairs she climbs…
17 ### Question 2
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katie is very clumsy. she trips up one of every seven stairs she climbs…
17 ### Question 2
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20) ____ a joke or play on words based on words with multiple meanings …
The statement is true (if it's a true - false question, the answer is "True"; if it's a fill - in - the - blank to confirm the definition, the relevant content confirms that a pun…
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how would you write 564,000,000 in scientific notation? 5.64 × 10⁸, 5.6…
$5.64 \times 10^8$
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question 4 of 10 which best explains how rhyme can make a reader want t…
D. Knowing that a rhyme is coming creates a sense of anticipation.
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how would you write 564,000,000 in scientific notation? 5.64 × 10⁸, 5.6…
$5.64 \times 10^8$
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which of the following expressions matches this number line? expression…
$3 \cdot (-3)$
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use the graph of the function to complete the table. (graph of a parabo…
| Input | output | |-------|--------| | 1 | 6 | | 4 | 9 | | 7 | 6 |
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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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which problem does the model represent? \\(\\frac{4}{5} \\times \\frac{…
$\frac{3}{4} \times \frac{4}{6}$ (the third purple tile problem)
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review the thirty - seventh, thirty - eighth, and thirty - ninth paragr…
He feels hurt by her neglect.
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which model correctly shows the problem $\frac{2}{6} \times \frac{1}{5}…
The top-most grid (first model, with 2 full pink rows and 1 purple column in those rows) correctly shows $\frac{2}{6} \times \frac{1}{5}$.
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ada is filling a bucket with water. the graph shows the relationship be…
- The bucket fills at a rate of 2 liters per minute - The bucket starts with 10 liters of water in it - The relationship is linear
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21. read this passage, and think about the argument it presents. this w…
A. "Temperatures have generally stayed above zero, and even the wind has cooperated by keeping to a respectable 35 miles an hour or less."
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14. what type of source would be a poor choice for a report about life …
your own personal experiences
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9. different literary forms tend to rely on different elements to expre…
The fairy tale would rely more on plot events to express theme while the poem would emphasize key images or repeat key words or phrases.
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what is the equation of the line of best fit?
The equation of the line of best fit is \(y = x+1\)
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1. peter’s paper was full of interesting information, but his teacher h…
cite his sources
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according to a survey, 26,484,775 people can speak a language other tha…
30,000,000
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according to a survey, 26,484,775 people can speak a language other tha…
30,000,000
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according to a survey, 26,484,775 people can speak a language other tha…
26,500,000
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according to a survey, 26,484,775 people can speak a language other tha…
\(26,480,000\)
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according to a survey, 26,484,775 people can speak a language other tha…
26,485,000
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afternoon of the luddites \why dont you send your grandpa a postcard?\ …
D. He was not afraid of technology, but his parents' ridiculous decision to reduce the family's "screen time" was turning him into a reluctant Luddite.
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carmen drove 871 miles in 13 hours. at the same rate, how many miles wo…
603 miles
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afternoon of the luddites \why dont you send your grandpa a postcard?\ …
D. He was not afraid of technology, but his parents' ridiculous decision to reduce the family's "screen time" was turning him into a reluctant Luddite.
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which structural element of the text is the underlined sentence, and ho…
The underlined sentence is a topic sentence in the text. It connects ideas in the text by stating the central claim that true greatness is tied to kindness (not arrogance), then t…
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lessons 2.3-2.4 review & refresh (continued) 11. a gray rock weighs 2.6…
11. Red rock, Black rock, Gray rock 12. Water, Milk, Juice 13. $0$; Zero Property of Multiplication 14. $3$; Associative Property of Addition 15. $47.5$ 16. $0.324$ 17. False 18. …
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the root mal means bad or evil. what does the word malignant mean? caus…
causing harm or suffering
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the root fic or fac means do or make. what does the word proficient mea…
capable and skilled
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the root cred means trust or believe. what does the word accreditation …
an official recognition of quality
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the root greg means group. what does the word congregate mean? to exit …
to assemble in large numbers
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the root puls means drive or push. what does the word repulsive mean? e…
causing others to move or stay away
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the root bel means war. what does the word belligerent mean? having a n…
having an aggressive and hostile character
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the root pens means weigh out or distribute. what does the word dispens…
a place where medicine is prepared and sold
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the graph shows the total weight of a container of cat food, y, as a fu…
2 oz ### Second Question (Weight of each cup of cat food):
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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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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…
For $m=25$, $t=5$; for $m=90$, $t=18$ ---
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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 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 the first (left) and the second (right) graphs show a proportional relationship between \( x \) and \( y \).
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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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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 on…
Yes
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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…
53.6%
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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…