统计与概率
数据分析、概率分布、假设检验与统计方法。
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adapted from cupid and psyche by josephine preston peabody passage 1 a …
A. Psyche's sisters are awful, as they are obviously jealous of Psyche's situation of living a wonderful life with a loving husband. Full of green - eyed envy, the sisters convinc…
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a caterpillar crawls across the sidewalk at a constant speed of 2 centi…
1. Plot the points $(5, 10)$ and $(15, 30)$ on the provided grid (with the horizontal axis as Time in seconds, vertical axis as Distance in centimeters). 2. Draw a straight line p…
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apollo and the shepherd: a greek myth by apollonius rhodius (excerpt) a…
D. The simple things in life can bring great pleasure.
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jean invested $380 in stocks. over the next 5 years, the value of her i…
The value of her stock 10 years after her initial purchase is \(\boxed{562}\)
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a box containing 1,000 coins is shaken, and the coins are emptied onto …
The exponential regression equation is \( y = 1000.0000(0.6099)^x \), and the number of coins returned after the eighth trial is approximately \(\boxed{19}\) (the value may vary s…
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which expressions also have a value of 70? move each card to the correc…
- Value of 70: \(46 + 4 + 10 + 10\), \(46 + 4 + 20\) - Not a Value of 70: \(46 + 4 + 10\)
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the scale shown can be balanced when both sides have the same number of…
25 grams
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six girls and four boys have entered the science fair. first, second, a…
10%
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at a high school, students can choose between three art electives, four…
$\boldsymbol{\frac{(_{3}C_1)(_{4}C_1)}{_{12}C_2}}$ (the third option)
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the track team gives awards for first, second, and third place runners.…
\(\boldsymbol{\frac{_{12}P_3}{_{22}P_3}}\) (the first option)
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six sophomores and 14 freshmen are competing for two alternate position…
\(\frac{{}_6C_2}{{}_{20}C_2}\) (the first option)
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a standard deck of 52 playing cards contains 13 cards in each of four s…
0.1275
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a landscaper is selecting two trees to plant. he has five to choose fro…
60%
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probabilities with passwords a website randomly creates an initial pass…
s: - Probability of no vowels: \(\approx0.28\) - Probability first letter is \(m\): \(\approx0.038\) (or \(\frac{1}{26}\))
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analyzing scenarios to calculate probabilities a bicycle lock has a fou…
s: - Probability the code begins with 5: \(\frac{1}{10}\) - Probability the code does not contain 0: \(\frac{3}{5}\)
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read the quotation from \song of myself.\ i depart as air, i shake my w…
They create a sense of movement.
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read the quotation from \song of myself.\ you will hardly know who i am…
He wants to communicate directly with readers.
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a bag contains eight yellow marbles, nine green marbles, three purple m…
\( P(Y \text{ and } R) = \frac{(_8C_1)(_5C_1)}{_{25}C_2} \) (the second option)
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select the correct answer from each drop-down menu. blocks numbered 0 t…
The probability of picking an odd prime number is \(\frac{3}{10}\). The probability of picking a number greater than 0 that is also a perfect square is \(\frac{3}{10}\).
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select the correct answer. two 6 - sided dice are rolled at the same ti…
C. 4
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there are 4 red balls, 6 white balls, and 3 green balls in a bag. if on…
A. \( \frac{7}{13} \)
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kareem inserted 2 quarters into a dryer at a laundromat, and the dryer …
48 minutes (corresponding to the option "48 minutes")
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select the correct answer. a fair coin is tossed 3 times in a row. what…
A. \(\frac{1}{8}\)
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alejandra can husk 8 ears of corn in 24 minutes. at this rate, how many…
11
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type the correct answer in each box. if necessary, use / for the fracti…
\(\frac{4}{5}\), \(\frac{3}{10}\)
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answer the question below. type your response in the space provided. if…
32
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a baseball player had 4 hits in 8 games. at this rate, how many hits wi…
14 (corresponding to the option "14")
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sample student response: mickey set up the equivalent rate wrong. the c…
- Mickey set up the rate incorrectly. - He needs to find the unit price per carton of eggs. - He should switch the numerator and the denominator to find the correct unit price.
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select the correct answer. what is the relationship between the two var…
E. positive linear association with one deviation
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a movie producer conducted a survey after the screening of his movie to…
D. The majority of the audience in the 16 - 25 age group liked the movie.
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based on the essays central ideas, what is emerson trying to convince t…
- go out into nature and commune with the divine - experience real solitude to truly perceive nature - realize that individuals are meant to learn from nature and transcend it - t…
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mickey used these calculations to find how much he would spend on 7 car…
Mickey's error was in calculating the unit price. He should divide the total cost (\$22.20) by the number of cartons (12) to find the unit price, but instead he incorrectly divide…
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ivan can paint 25 square feet every half hour. how many square feet can…
150 square feet (the option with "150 square feet")
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anusha is walking on a hiking trail at a rate of \\(\\frac{3}{4}\\) mil…
3
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which vehicle gets the best mileage per gallon? vehicle miles traveled …
Minivan
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practice using unit rates in real - world situations. find the unit rat…
Sedan: 18 miles per gallon Minivan: 19 miles per gallon Truck: 16 miles per gallon
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question 5 if john, travelling at a constant speed on a stretch of high…
150 miles ### Question 6 (assuming the missing part is "and notices that three have tags on them. About how many rabbits are in the forest?")
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if 9 out of 10 doctors in a small city recommend afternoon naps, and th…
72
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question 3 a recipe for 4 ounces of frosting calls for 2 teaspoons of s…
You would need 6 teaspoons of sugar to make 12 ounces of frosting.
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respond to the following based on your reading. find the number that co…
s: a. \(c = 60\) b. \(n = 0.35\) c. \(x = 12\) d. \(k = 140\)
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a certain color paint should have a mix of blue and green in a ratio of…
20
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for every 15 columns of news stories in a newspaper, 4 columns of ads a…
80
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question 2 a recipe calls for 5 cups of flour for every 3 teaspoons of …
9 teaspoons
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check your learning: proportions and cross multiplication question 1 re…
s: a. \( \boldsymbol{48} \) b. \( \boldsymbol{15} \) c. \( \boldsymbol{33} \) d. \( \boldsymbol{15} \)
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michael ran 3 miles in 24 minutes. what is his average running speed in…
7.5 miles per hour (corresponding to the option: 7.5 miles per hour)
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if 2.5 pounds of strawberries cost $10, how much do 8 pounds of strawbe…
$32.00$ ### Second Question (Sugar for Cookies)
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if 2.5 pounds of strawberries cost $10, how much do 8 pounds of strawbe…
\$32.00 ### Second Question (Sugar for Cookies)
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jose ran \\(\\frac{1}{3}\\) mile in 3 minutes and 15 seconds. calculate…
$9\frac{3}{4}$ minutes per mile (the option with text "9$\frac{3}{4}$ minutes per mile")
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alan mows lawns in the summer to make money. he knows that, on average,…
\(\frac{2}{5}\) lawns per hour (corresponding to the option: \(\frac{2}{5}\) lawns per hour)
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belleville high school offers classes on three different foreign langua…
A and B are independent events because \( P(A|B)=P(A)\)
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. $\frac{9}{10} + \frac{7}{8} + 2\frac{3}{4}$
\(4\frac{21}{40}\) (or \(\frac{181}{40}\))
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information about how the students at vista view high school got to sch…
114
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a burrito restaurant recorded 200 customer orders. each order was categ…
The events "order type" (takeout or dine - in) and "day of the week" (weekday or weekend) are not independent. (The option: The events "order type" (takeout or dine - in) and "day…
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a survey was taken of children between the ages of 10 and 17 about how …
The correct statement is "Out of the 97 children who have 1 sibling, 40 of them do not have a pet." (The last option, as per the image’s options.)
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a survey was taken of children between the ages of 7 and 12. let a be t…
A and B are not independent events because \( P(A|B) = 0.375 \) and \( P(A) = 0.25 \) (corresponding to the last option: "A and B are not independent events because \( P(A|B) = 0.…
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the two - way table shows the medal count for the top - performing coun…
The probability that a randomly selected silver medal was awarded to Great Britain is \(\frac{17}{99}\) (the first option among the given options about silver medal and Great Brit…
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which statement is true about whether c and y are independent events? c…
C and Y are not independent events because \( P(C|Y) eq P(C) \) (the last option: "C and Y are not independent events because \( P(C | Y) eq P(C) \)").
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information about a shipment of mirrors to a local store is shown. char…
68
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which statement is true? the probability that a randomly selected adult…
The probability that a randomly selected person who chose Mexico as the preferred destination is a child is $\frac{14}{117}$? Wait, no—wait, the option says $\frac{14}{113}$. Wait…
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information about the students at jackson high school is shown in the t…
Out of the 352 eleventh graders at the school, 173 of them are girls. (The first option)
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find p(y|b) from the information in the table. to the nearest tenth, wh…
0.4
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describing conditional probabilities explain why p(a|d) and p(d|a) from…
\( P(A|D) = \frac{2}{10} = \frac{1}{5} \) and \( P(D|A) = \frac{2}{8} = \frac{1}{4} \). They differ because \( P(A|D) \) conditions on \( D \) (denominator 10) and \( P(D|A) \) co…
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isabella created a new phone app and uploaded it to an app store. she f…
2 downloads/minute (Option: 2 downloads/minute) ### Second Question (Rabbit's Travel Rate)
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a class of 24 students went on a picnic. they had a choice between havi…
D. 3 : 1 ### Second Question (Unit Rate for Fatima's Running)
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a survey was conducted with high school students in each grade to see h…
To solve this, we analyze each statement using the table data: ### Step 1: Analyze "Twenty - three ninth graders and fifteen eleventh graders prefer math." - For 9th graders: Tota…
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which of the following is the method used to determine whether or not a…
A. Cross multiplication ### Second Question (Ratio of Max's to Angela's running time):
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which of the following is a mathematical statement showing that one rat…
C. Proportion ### Second Question (Since a proportion involves two ratios, every proportion must have four terms. The first and fourth terms are called which of the following?)
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which of the following terms correctly describes 4 : 1? ratio percent f…
Ratio ### Question 2
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question 3 john ran \\(\\frac{1}{2}\\) mile in 5 minutes, and al ran \\…
John (assuming the options are John or Al; since the options weren't fully visible but based on calculation, John is faster)
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john ran \\(\\frac{1}{2}\\) mile in 5 minutes, and al ran \\(\\frac{1}{…
John ### Second Question (Milk Cost)
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question 2 one 200-gram bag of rice costs $8.12. how much does 1 kilogr…
\(\$40.6\) (If there were options, we would present the correct option with its identifier, but since options aren't fully shown, the calculated cost is \(\$40.6\))
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self assessment check your learning: application of unit rates question…
\(16\frac{1}{2}\) square meters (or \(\frac{33}{2}\) square meters)
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if two events are independent the two - way table displays the hair col…
# Explanation: ## Step1: Find \( P(E|F) \) Event \( F \) is "student is a junior". The total number of juniors is \( 30 \) (from the table: \( 30 \) in the "Jr" row total). The nu…
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question 8 of 10, step 1 of 1 compute the sum indicated and simplify yo…
$\frac{259}{300}$
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question 5 of 10, step 1 of 1 compute the sum indicated and simplify yo…
$\frac{397}{390}$ or $1\frac{7}{390}$
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question 4 of 10, step 1 of 1 compute the difference indicated and simp…
$\frac{21}{125}$
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a recipe calls for the following spices: \\(\frac{1}{4}\\) teaspoon of …
$\frac{7}{8}$ teaspoon
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in a study, 1,085 out of 2,321 people did not receive a flu vaccination…
\(\frac{465}{1236}\) (corresponding to the option \(\boldsymbol{\frac{465}{1236}}\))
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store work that i do on my phone or tablet? jazmine butcher cloud stora…
is where data is stored on servers that you use by uploading files on the Internet.
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using a two - way table to find probabilities at west view high school,…
The probability is \(\frac{59}{212}\) (or approximately \(0.278\))
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a group consisting of 23 aggressive zombies quadruples in size every ho…
$Z = 23(4)^2$
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a town has a population of 72,700 and grows at a rate of 3.5% every yea…
$P = 72,700(1 + 0.035)(1 + 0.035)(1 + 0.035)(1 + 0.035)$
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a town has a population of $2.35 \\times 10^4$ and shrinks at a rate of…
$P = (2.35 \times 10^4)(0.909)^2$
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question 2 carlos installed 24 wooden cabinets in 8 days. on the averag…
3
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date discrete series example marks(x) no of student 20 8 30 12 40 20 50…
To solve problems related to this discrete series (e.g., calculating mean, median, mode, variance, etc.), let's take the example of calculating the **arithmetic mean** for the giv…
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fraction and decimal equivalents 1 match the decimal numbers to the equ…
### Problem 2 Solutions (Completing Equivalent Pairs) To solve these, we use the rule: A decimal \( 0.a \) (where \( a \) is a number) is equivalent to \( \frac{a}{100} \) when co…
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a van travels 240 miles on 20 gallons of gas. how far does it travel pe…
12 miles per gallon
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elect the word that means very large and heavy. when john muir visited …
massive
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select the word that means an agreement in which each side gives someth…
compromise
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select the word that means loud noise. chinas most important holiday is…
din
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select the word that means invented. django reinhardt was a jazz guitar…
generated
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select the word that means improved something by making small changes. …
refined
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select the word that means become weaker. pheidole dentata, an ant of t…
decline
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select the word that means to remain alive. female sea turtles lay thei…
survive
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select the word that means research. a team of psychologists from emory…
The word that means research is "investigation".
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select the word that means like new. comic books decrease in value afte…
mint (from "mint condition" in the text, as the sleeves keep comics like new by protecting from damage)
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select the word that means given up. most tv and movie directors have a…
abandoned
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ct the word that means tight. to play the violin, you must develop many…
tense
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select the word that means an open or available position. representativ…
vacancy
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select the word that means medicine or treatment. taking vitamin c is a…
remedy