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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look at this sentence: \if elected, i will be an instrument of reform o…
3. a means by which something is done: Some argue that the media is an instrument for social change. — from Latin (instrumentum)
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look at this sentence: after rita imported the data from the spreadshee…
3. (computers) to bring into one software program from another: Brody imported the contacts from his previous account when he switched providers.
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a restaurant has 30 tables in its dining room. it takes a waiter 10 min…
Time for 16 tables: 20 minutes. Time for 30 tables: 37.5 minutes.
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a mouse eats 30 pieces of cheese in 10 minutes. how many pieces of chee…
First, the mouse eats 3 pieces per minute. Then, in 12 minutes, she eats 36 pieces. (For the table, the value for 1 minute is 3.)
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how many cups of each juice do you need to make a total of 42 cups of f…
(Assuming ratio 1:1) 21 cups of pineapple juice and 21 cups of apple juice. (Note: This answer is based on an assumed ratio; the actual answer requires the given ratio of the juic…
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a recipe for fruit punch calls for 1 cups of orange juice for every 2 c…
32
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a recipe for fruit punch calls for 1 cups of orange juice for every 2 c…
16
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a recipe for fruit punch calls for 1 cups of orange juice for every 2 c…
48
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read the excerpt from act 3 of a dolls house mrs. linde looking at her …
The use of letters and secret meetings develops the theme that hiding the truth will eventually lead to hardship
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9. find the error the ratio of quarts of white paint to red paint is 3 …
The student confused ratio with absolute difference; the correct white paint needed is 6 quarts.
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how many cups of each juice do you need to make a total of 48 cups of f…
12 cups of orange juice and 16 cups of peach juice (assuming the total should be 28 cups, or there was a ratio of 3:4).
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there are 28 animals up for adoption, and the ratio of birds to dogs is…
Birds: 12, Dogs: 16. Total animals: 28 (already given, but verification confirms).
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complete the table to show how many cups of broth and vegetables you ne…
For broth: 12, for vegetables: 36. So the table should be: | Broth (cups) | Vegetables (cups) | Total (cups) | |--------------|-------------------|--------------| | 2 | 6 | 8 | | …
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how many total cups of broth and vegetables do you need for one batch o…
8
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lemon juice (oz) 0 1.5 3 6
9
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solve for the missing value. water (cups) ←┼───┼───┼───┼───┼───┼→ 0 2 4…
The missing water value is 6 cups.
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orange juice (cups) cranberry juice (cups) fruit punch (cups) 4 3 7 16 …
16, 12
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you need 4 cups of orange juice and 3 cups of cranberry juice to make 7…
Each part of the tape diagram has a value of 4. For 28 cups of fruit punch, you need 16 cups of orange juice and 12 cups of cranberry juice.
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you need 4 cups of orange juice and 3 cups of cranberry juice to make 7…
Orange juice: 16 cups, Cranberry juice: 12 cups ### Part 2: Total cups of punch (from the diagram, but the question is about how many total to make? Wait, the first part is for 28…
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6. a small batch of trail mix contains 2 cups of raisins, 2 cups of pea…
Ratio: 2:1; Total cups of sunflower seeds in large batch: 4
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you need 4 cups of orange juice and 3 cups of cranberry juice to make 7…
For 28 cups of fruit punch, you need 16 cups of orange juice and 12 cups of cranberry juice. The correct table entries should be: | Orange Juice (cups) | Cranberry Juice (cups) | …
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you need 4 cups of orange juice and 3 cups of cranberry juice to make 7…
- Orange Juice (cups): 8, 12, 16 (from left to right of the empty boxes) - Cranberry Juice (cups): 6, 9, 12 (from left to right of the empty boxes) - Fruit Punch (cups): 14, 21 (f…
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5. mrs. santiago is buying bagels for her office. each box contains 6 p…
Ratio: $4:2$ (simplified to $2:1$); Interpretation: There are 2 blueberry bagels for every 1 onion bagel; Total onion bagels: 10
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4. a small fruit basket contains the fruit shown. a large basket has th…
Ratio: 3:14; Number of pears in large basket: 9
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3. riley needs to make punch for a reunion. one batch of punch has the …
Ratio: $2:9$; Interpretation: There are 2 cups of orange juice for every 9 total cups of punch; 6 cups of orange juice needed for 27 cups of punch.
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pregunta suponiendo una relación lineal, encuentre el valor faltante en…
17
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4. a small fruit basket contains the fruit shown. a large basket has th…
The ratio of pears to total fruit in the small basket is $\frac{3}{14}$, meaning 3 out of every 14 fruits in the small basket are pears. The number of pears in the large basket wi…
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2. in a trivia game, levi answered 8 questions correctly out of 10 turn…
Levi is not correct. The initial ratio of correct answers to total questions is $\frac{8}{10} = 0.8$, and the new ratio after answering 3 more questions correctly is $\frac{11}{13…
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helmer: what sort of an expression is that to use about our marriage? n…
"I was simply transferred from papa's hands into yours " "I had been living here like a poor woman " "I have existed merely to perform tricks for you " "It is your fault that I ha…
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read the passage from animal farm. \you have heard then, comrades,\ he …
The animals do not complain about pigs in power breaking rules.
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question 12: for each row, determine the probability of drawing the car…
### Part 1: \( P(\text{Ace}) \) #### Step 1: Determine number of Aces and total cards A standard deck has 4 Aces and 52 total cards. Probability formula: \( P = \frac{\text{Number…
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calculator permitted from here question 11: abigail scored the followin…
The added test score changes the mean (the original mean was 79.5 and the new mean is approximately 81.11) but does not change the median (the original median was 80 and the new m…
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question 10: write a symbol (<, >, or =) to compare each pair of number…
$\frac{1}{4} < 0.3$ ### Part (b)
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35 hadley is a 36 - year - old computer engineer whose family includes …
a. He has a low probability of death and his death will have a high financial impact on the family.
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convert 8% to a fraction in simplest form and a decimal. answer attempt…
Fraction: \(\frac{2}{25}\) Decimal: \(0.08\)
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question 4 the article says: sheinbaum worked with scientists. what did…
C. they won
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Question was provided via image upload.
10 reps
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10. grandma rose would like to sew matching outfits for 3 of her grandc…
B. $4\frac{5}{16}$ yards
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3. the captains have the football on the 29 yard line in their own terr…
17 yard line
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3. $\frac{5}{10} + \frac{3}{4} + \frac{5}{10} =$
$\frac{7}{4}$ or $1\frac{3}{4}$
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use the following information to answer the next question. a school is …
A. $x = 57$ $y = 43$ --- ### Question 53
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31 $\frac{5}{10} + \frac{3}{4} + \frac{5}{10} =$
$\frac{7}{4}$ or $1\frac{3}{4}$
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read the excerpt from cristina garcias dreaming in cuban. i dont really…
It manipulates the chronological order of events to reveal the close relationship between Pilar and her father.
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5. for every 5 games of basketball played, the team wins 3 games. if th…
B. 12
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4. there are 18 boys and 12 girls in a science club. what is the ratio …
18:30
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2. a car travels 180 miles in 3 hours. what is the cars speed in miles …
60
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read the excerpt from anthem. i stand here on the summit of the mountai…
discovery and exploration
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the paragraph below is an excerpt from an article written for a school …
critical
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read the passage from theodore roosevelt: an autobiography. in the yell…
trials and tribulations
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3. the scatter plot shows the relationship between the number of times …
Equation of the line of fit: $y = \frac{7}{8}x + 25$ or $y=0.875x+25$ Temperature at 40 chirps: $60^\circ\text{F}$
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read the passage from etiquette, by emily post. new yorks bad manners a…
justifiably criticized
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4.multiple choicethe scatter plot shows the results of a survey about a…
D. $y = -1.25x + 90$
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read the excerpt from a students argumentative essay. students at glenm…
Without proof of challenging courses, colleges might disregard our transcripts.
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which of these best strengthens a factual argument? ○ descriptions from…
statistics and examples from reliable references
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read the sentence. as the contractor looked at the dilapidated structur…
rundown
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read the sentence. the investors could not handle the ups and downs so …
to vary in level or value
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read the excerpt from \first joint debate at ottawa,\ by abraham lincol…
Yes, the author uses diction that is academic and formal.
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2. the scatter plot shows the tips different restaurant servers earned …
Equation: $y = 0.2x$ Slope interpretation: Each $1 increase in the total check corresponds to a $0.20 increase in the tip. Y-intercept interpretation: When the total check is $0, …
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the yellow river flooded violently and unpredictably. the land close to…
To solve this matching problem, we analyze each characteristic and its corresponding effect: ### 1. Match "The land close to the Yellow River was fertile, which means that it coul…
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read the passage from black boy. from the white landowners above him th…
As an adult, Wright has a different perspective of his father than he did when he was a child.
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read the excerpt from black boy. we left. i had the feeling that i had …
as if he had unfinished business
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which excerpt from black boy best illustrates the effect that society h…
From the white landowners above him there had not been handed to him a chance to learn the meaning of loyalty, of sentiment, of tradition.
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14. josh, candy, sarah, and lori are playing a board game. they roll a …
1. Lori 2. Josh 3. Sarah 4. Candy
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12. trish is in charge of cleaning the baseball teams uniforms. to prop…
A. 15 tablespoons of bleach
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10. marty finds a recipe for a homemade cleaning agent to clean the 6 d…
3 cups of baking soda, $1\frac{1}{2}$ cups of table salt, and 6 cups of vinegar (the second option)
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read the excerpt from the joint statement by president roosevelt and pr…
the allied powers will defeat Nazi Germany.
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8. convert \\(\\frac{6}{7}\\) to a decimal. round to the hundredths pla…
0.86
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7. convert \\(\\frac{2}{5}\\) to a decimal. round to the hundredths pla…
0.4 (corresponding to the option: 0.4)
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5. hamza reads a 1,500-word essay in 3 minutes. how many words per minu…
A. 500 words per minute
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4. raphael is reading a 740 - page book. he has read 550 pages so far. …
74% (corresponding to the option: 74%)
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read the excerpt from the great gatsby. twenty miles from the city a pa…
a sense of artificiality in the world the narrator finds himself in.
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question round 1.988 to the nearest tenth. answer attempt 1 out of 2
\(2.0\)
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question round 2.34 to the nearest whole number. answer attempt 1 out o…
\(2\)
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question round 6.13 to the nearest tenth. answer attempt 1 out of 2
\(6.1\)
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2 which of the following equations are correct? select all that apply. …
A. \( 3144 \div 6 = 524 \) D. \( 1776 \div 37 = 48 \) E. \( 34,520 \div 40 = 863 \)
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question round 6.03 to the nearest whole number. answer attempt 1 out o…
6
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read the excerpt from hobert\ in cane. rhobert is an upright man whose …
It illustrates that the narrator has belief in God's power.
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read the excerpt from \fern\ in cane. we walked down the pike with peop…
D. the comparison of gossiping people to the world
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a water desalination plant can produce $2 \\times 10^6$ gallons of wate…
$1.54 \times 10^{8}$ gallons
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airplanes are sometimes used to fight fires. a certain airplane can del…
$8.76\times 10^{4}$ liters
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look at the poster. how does the image help convey the message of this …
The image of a large clock next to an unproductive worker emphasizes the importance of utilizing every minute of production time.
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calculate. \\(\\frac{1.8 \\times 10^{-5}}{6 \\times 10^{-9}}\\) write y…
$3\times10^{3}$
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calculate. \\frac{8.8 \\times 10^{7}}{5.5 \\times 10^{-6}} write your a…
\(1.6\times 10^{13}\)
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will rent a car for a day. the rental company offers two pricing option…
Option B costs less. It costs \(\$30\) less than Option A. ### Part (b)
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18. a bag contains 6 yellow marbles and 4 blue marbles. you choose a ma…
$\frac{1}{3}$
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fill in the blanks to describe nicolás and santis day at the beach. nic…
rarely
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look at this picture graph: times on an airplane ariel ivan monica dani…
150
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8. a smoothie recipe calls for: - 5 pints of apple juice - 2 quarts of …
25
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look at this picture graph: can recycling drive adam charlie danny keit…
51
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look at this picture graph: running laps mandy hassan kendra ernest eac…
125
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look at this picture graph: t - shirt sales march: two full t - shirt i…
25
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7. sam has a goal of walking 4 ½ miles by the end of the day. he walks …
$\frac{3}{4}$ miles
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modeling real life you mix 0.25 cup of juice concentrate for every 2 cu…
You use 2 cups of juice concentrate and 16 cups of water.
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6. trey and 4 his friends equally share a 12-ounce jar of applesauce. h…
b. 2.5 (assuming the problem has a typo in the number of friends or total ounces, but based on the options, this is the most reasonable)
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problem 10: spiral review | original price | sale price | | --- | --- |…
No
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4. a bag of candy weighs 14 pounds, mary and her two friends eat ⅔ of t…
c. 3 ½ pounds
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plan 1 growth rate: 4% ✔️ plan 1 growth factor: 1.04 ✔️ plan 2 growth r…
The exponential growth function for Plan 1 is \( \boldsymbol{f(t) = a(1.04)^t} \) (where \( a \) is the initial amount and \( t \) is time) or if the initial amount is considered …
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how many teenagers visited the library at least two times over the summ…
O 17
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9. determine the number of four letter “words” that can be formed from …
840 ### Part b) i)
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1 there are 11 students running a relay race that is 2 mi long. each st…
El segundo estudiante termina entre el marcador de 0.3 millas y el de 0.4 millas.