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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comparing the mean of a sample with the mean of the population populati…
The mean of the population is 4 The mean of the sample is 3.25 The difference between the mean of the sample and the mean of the population is 0.75
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level 3 8. all the students at a school were asked if they wanted a new…
(a) $47\%$ (b) $216$
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4. write three numerical expressions that are equivalent to (0.0004)·(0…
Three numerical expressions equivalent to \((0.0004)\cdot(0.005)\) are \(2\times10^{-6}\), \(0.000002\), and \(\frac{4\times5}{10000\times1000}\) (or other valid equivalent expres…
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18. analyze and persevere write $\frac{9}{12}$ as a decimal and as a pe…
Decimal: $0.75$ Porcentaje: $75\%$ Forma 1: Primero simplificar la fracción $\frac{9}{12}$ a $\frac{3}{4}$, luego dividir el numerador entre el denominador para obtener el decimal…
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estimating the mean of the population sample | sample mean 1 | 16.8 2 |…
C. 17.3
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identifying an unlikely estimate sample | sample mean 1 | 16.8 2 | 12.3…
12.3
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17. enrollment in french class at a high school is 0.72 of enrollment i…
As a fraction: $\frac{18}{25}$ As a percent: $72\%$
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consider these sample means for the number of weekend hours spent study…
- The variation in the sample means is less than 5. - The actual population mean most likely will be between 4 and 8. - The sample means can be used to make predictions about the …
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practice using means of samples. hours spent studying 11 8 9 4 6 6 2 6 …
Mean of samples in row 1: 8 Mean of samples in row 2: 5 Mean of samples in row 3: 6 Mean of samples in row 4: 4
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using a sample mean to estimate population mean bag of apples | average…
0.8 lb and 1.2 lbs.
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calculating the range of means student | mean word length 1 | 7.1 2 | 4…
Range of average word lengths: 2.6 Variation between sample means: small
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use the graph to complete each statement about this situation. the maxi…
The maximum profit the florist will earn from selling celebration bouquets is $\boldsymbol{600}$ The florist will break-even after $\boldsymbol{20}$ one-dollar decreases. The inte…
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karen took three samples from a population of students to measure their…
Sample 1: 6 Sample 2: -13 Sample 3: 1
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this scatter plot shows the weights of some pumpkins at platos pumpkin …
200
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7. which is greater 25% of 90 or 28% of 82 you must show your working.
28% of 82 is greater than 25% of 90.
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your turn: 1 over the last 8 snowstorms, john recorded the amount of sn…
What kind of correlation was your graph? A) Positive How many hours did it take them to shovel 18 inches of snow? $\boldsymbol{5}$
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finding the mean of a population text messages sent 5 7 20 10 4 4 100 5…
B. 15
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finding the mean of a sample text messages sent 7 10 100 15 1 12 3 7 17…
21
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the population of old town is 130,000. one hundred of the residents wer…
1. The residents of Old Town represent the entire population 2. The 100 residents surveyed represent the sample
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a group of kids were asked about the number of pets they have. study th…
1. $4$ 2. $2$ 3. $2$ 4. $7$ 5. $3$ 6. $15$ 7. $10$ 8. $17$
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complete the fraction. 7.847 = \\frac{\\square}{1,000}
7847
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problem 7 calculate 0.225 ÷ 0.005.
45
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how might an author establish point of view in a story? (1 point) by us…
by using indirect language instead of stating opinions directly
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document 2 this excerpt is from a speech made by congressman john c. ca…
According to Document 2, John C. Calhoun believed the United States should go to war with Britain to defend its commercial and maritime rights, protect the personal liberties of i…
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the cost of 10 ounces of cheese is 99 cents. what is the price of 10 po…
$15.84$ (corresponding to the option: $15.84$)
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what percent is represented by the bar diagram? 0% 50% 100% % need help?
90%
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what percent is represented by the 10 × 10 grid?
65
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punny jokes a. decide which puns here rely on similar sounding words an…
## Part A 1. Similar sounding words (plays on "no one in ten" / "no pun in ten") 2. Different meanings of a related concept (maroon as color and marooned as stranded) 3. Similar s…
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name: understanding puns on a separate sheet of paper, answer the follo…
1. It plays on "light" (low-calorie vs. visible light); he is likely served a meal shaped like a square, playing on the double meaning of "square meal". 2. They use language ambig…
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cca lesson 4.1.1 homework name 4-4. sam collected data by measuring the…
a. The association is linear, positive, strong, and has one outlier (a pencil with a short painted length but unusually high weight). b. The outlier could be a pencil that is thic…
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6-4. sam collected data by measuring the pencils of her classmates. she…
a. The association is linear, positive, strong, with one outlier (a pencil with a short painted length but high weight, around $l=3$ cm, $w=4.5$ g). b. The outlier is likely a pen…
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a sara’s data set has a range of 5. b julius’s data set is skewed right…
s: 1. Name: Julius (B) 2. Name: Sara (A) 3. Name: Elisa (C) 4. Name: Inez (D)
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four students were given dot plots to create. sketch the dot plots in q…
### Problem 1: Matching Data Sets to Students #### Step 1: Analyze Sara's Clue (Range = 5) - For data set 1: Max = 12, Min = 6, Range = \( 12 - 6 = 6 \) (not 5). - For data set 2:…
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84 is what percent of 280? 0.3% 3% 3.3% 30% question 4 1 pts the smiths…
1. 30% 2. $420$
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for problems 5–8, round to the underlined digit. (note: “≈” means “appr…
s: Problem 5: \(30\) Problem 6: \(3\) Problem 7: \(3.2\) Problem 8: \(1.001\) Problem 9: \(20\) Problem 10: \(7\)
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tina starts counting at 402. she counts by tens. what two numbers does …
B. 412 and 422
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romeo and juliet, act one, scenes 4 and 5 (pages 496 - 505) william sha…
1. Mercutio suggests that Romeo should dance and be merry; Romeo answers that he has a "soul of lead" and is too burdened by love to dance. 2. Mercutio argues that dreams are "the…
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audra starts counting at 100. she counts by fives. what two numbers doe…
B. 105 and 110
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which statement primarily appeals to logos to support the position that…
Numerous studies have shown that simply standing more can improve the overall health of sedentary people.
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fill in the blanks by counting by 100s. 248 448 related content skip - …
148, 348, 548, 648 (from left to right for the blanks)
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fill in the blanks by counting by 100s. 106 306
The numbers in the blanks are 6, 206, 406, 506 (from left to right).
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hans starts counting at 174. he counts by hundreds. what two numbers do…
C. 274 and 374
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there are 30 boys in 6th grade. the number of girls in 6th grade is 40.…
Abigail is not correct. The correct ratio of the number of boys to the number of girls in 6th grade is \( 3:4 \).
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hadley has \\(\frac{3}{6}\\) of a box of white envelopes and \\(\frac{1…
A. Hadley's answer is incorrect because $\frac{3}{6}$ is equal to $\frac{1}{2}$, and $\frac{4}{9}$ is less than $\frac{1}{2}$ B. Hadley's answer is incorrect because $\frac{3}{6}$…
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6. buddy’s nut shop sells two varieties of mixed nuts. the mixes contai…
(for part a): The matrix \( NP \) represents the total weight (in pounds) of each type of nut (peanuts, hazelnuts, cashews, walnuts) in the combined mixture. The matrix \( NP=\beg…
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consider a situation in which $p(x) = \\frac{4}{5}$ and $p(y) = \\frac{…
They are independent because \( P(X) \cdot P(Y) = P(X \text{ and } Y) \).
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marco has a bag of red, blue, and green tiles. which set of events woul…
A. A tile is drawn and replaced, and then a second tile is drawn.
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two events, a and b, are independent of each other. $p(a)=\frac{1}{6}$ …
0.75
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leona has a bag containing lettered tiles. which describes dependent ev…
A. removing a vowel, not replacing it, and then removing another vowel
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a coin is flipped, then a number cube is rolled. the tree diagram shows…
\(\frac{1}{12}\)
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which is a pair of independent events? choosing one calendar date for s…
B. choosing one card from a deck and then choosing one card from another deck
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a spinner has three equal sections labeled 1, 2, and 3. it is spun twic…
\(\boldsymbol{\frac{1}{3} \cdot \frac{1}{3}}\) (the third option, i.e., the option with \(\frac{1}{3} \cdot \frac{1}{3}\))
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the theoretical probability of a couple having a baby girl is \\(\\frac…
$\frac{1}{8}$ (corresponding to the first option: $\frac{1}{8}$)
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which is a pair of dependent events? spinning a spinner one time and th…
C. removing a marble from a bag, not putting it back, and then removing a second marble
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a spinner has 4 equal - sized sections labeled a, b, c, and d. it is sp…
$\frac{1}{8}$ (corresponding to the option $\boldsymbol{\frac{1}{8}}$)
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in the late nineteenth century, the financial gap between the rich and …
- Darrow sold his version of The Landlord's Game to Parker Brothers. - Magie wanted people to learn about the effects of greed. - The Landlord's Game was created by Magie.
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consider a situation in which $p(a) = \\frac{1}{8}$, $p(c) = \\frac{1}{…
Not enough information is provided to determine \( P(B \text{ and } C) \).
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a bag contains a variety of different - colored marbles. if $p(\\text{r…
The events are independent because \( P(\text{red}) \cdot P(\text{green}) = P(\text{red and green}) \). (The first option)
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andrea rolls a number cube twice. she determines ( p(\text{even, then o…
Andrea's solution is incorrect. The probability of each simple event is \(\frac{1}{2}\). The probability of the compound event is less than the probability of either event occurri…
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three coins are flipped. what is p(heads, heads, heads)?
\(\frac{1}{8}\)
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a spinner contains 3 equal sections: one red, one yellow, and one blue.…
$\frac{1}{9}$ (corresponding to the first option)
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two events, a and b, are independent. if $p(a) = 0.3$ and $p(b) = 0.2$,…
\( 0.06 \)
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which events are independent? check all that apply. rolling two number …
- A. rolling two number cubes at the same time - B. choosing a card, and then flipping a coin - E. drawing a marble from a bag, replacing it, then drawing another marble - F. flip…
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which statement correctly describes dependent events? two events are de…
D. Two events are dependent if the outcome of the first event affects the outcome of the second event.
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given the following probabilities for choosing 2 marbles from a bag of …
dependent, because the product of \( P(\text{blue}) \) and \( P(\text{green}) \) does not equal \( P(\text{blue and green}) \)
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consider a situation where $p(a) = \\frac{4}{5}$ and $p(a \\text{ and }…
\(\frac{5}{8}\) (corresponding to the option with \(\frac{5}{8}\))
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regina has a bag of marbles that contains 3 blue marbles, 4 red marbles…
For the first blank (possible outcomes): 12 For the probability of first blue: \( \frac{1}{4} \) For the probability of second yellow: \( \frac{5}{12} \) For \( P(\text{blue then …
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the dot plots below show the number of miles run per week for two diffe…
First blank (Class A max): 14 Second blank (Class A data): a gap Third blank (Class B max): 10 Fourth blank (Class B data): no gap (Assuming the blanks are filled as: "Class A is …
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question 29 not yet answered marked out of 1.00 7 flag question match e…
$20 + 2.1 = 2.2 \times 10^1$ $3400 / 0.25 = 1.4 \times 10^4$ $30,000 \times 0.034 = 1.0 \times 10^3$ $540.34 - 14.0 = 5.263 \times 10^2$ $6.3 \times 2.903 = 1.8 \times 10^1$
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three coins are flipped. the possible results are shown in the tree dia…
\(\frac{3}{8}\)
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the dot plots below show the number of hours a class of students exerci…
The median for the internet usage is 6 hours and the range is 10 hours. The median for internet usage is greater than the median for exercise, and the range for internet usage is …
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the frequency distribution in the table represents the square footage o…
To solve for the sample mean square footage, we typically need the data table (frequency distribution) which is not fully visible here. However, assuming a typical frequency distr…
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the following data represent the number of people aged 25 to 64 years c…
$\sigma\approx\boldsymbol{10.35}$
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which are dependent events? check all that apply. choosing 2 socks from…
- choosing 2 socks from a drawer, without replacement - picking 4 cards from a deck, one after the other
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the frequency distribution in the table represents the square footage o…
The sample mean square footage is \(\boldsymbol{2424}\) square feet. The sample standard deviation is \(\boldsymbol{597}\) square feet.
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which statement is correct regarding independent events? two events are…
C. Two events are independent if the outcome of the first event does not affect the outcome of the second event.
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find the product. use the greatest common factor to simplify your answe…
$\frac{3}{20}$
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classify each event as simple or compound. spinning a spinner and flipp…
To solve this, we first recall the definitions: - A **simple event** is an event that consists of a single outcome or action. - A **compound event** is an event that consists of t…
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find the product. use the greatest common factor to simplify your answe…
$\frac{4}{21}$
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the median of 5, 7, 2, 9, 8 is: 5 7 8 6
B. 7
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22. how did theakers of john browns raid affect national tensions? it e…
22. It increased fierce debate/violence between the regions 23. b. To declare loyalty to the Union and the abolition of slavery 24. a. To preserve the Union 25. Disrupted Confeder…
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read the following original passage and answer the questions. as the fi…
1. b. He is authoritative and resolved 2. c. It enhances the sense of magic and tension 3. a. She is loyal but longing for freedom 4. b. They reflect characters and settings 5. b.…
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the standard deviation of the data set { 3, 3, 4, 5, 7, 7, 8, 9, 11, 12…
3.015
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the mean of the data set { 3, 3, 4, 5, 7, 7, 8, 9, 11, 12 } is about __…
6.90
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the standard deviation of the data set {7, 2, 5, 1, 12, 3, 7} is about …
3.773
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the mean of the data set {7, 2, 5, 1, 12, 3, 7} is about _____. 5.286 3…
5.286
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bike a and bike b are raced on a track. the following table shows the n…
a. The data shows a proportional (direct linear) relationship. The ratio of laps completed by Bike B to Bike A is constant (0.9) for all data pairs. b. $0.9$ c. $63$ d. $90$
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question 3 0/1 pt 100 details the following table shows the daily recei…
\boxed{-0.447} (rounded to three decimal places, or as per required precision)
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the median of 5, 7, 2, 9, 8 is: 5 7 8 6
B. 7
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find the median of the following set of data: * 1, 3, 6, 2, 4, 7, 5 2 2…
C. 4
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7. all the kindergarten students at cannon elementary school are in exa…
D. $\frac{22}{37}$
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3. sofia earned scores of 85, 86, 87, and 82 points on 4 math tests. wh…
E. 100
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what is the correct meaning of the word gouge? there was a huge gouge i…
gash
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read the thesaurus and sentence. nonchalant (adj): unconcerned, indiffe…
untroubled
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what does alliteration suggest about the meaning of the sentence below?…
The buds bloomed into the first flowers of spring.
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the root fort means \strong.\ the suffix -fy means \make.\ based on thi…
strengthening
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what does the suffix -ition mean in the word composition? emma wrote a …
result of
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what is the correct meaning of the phrase cracked a smile? the man crac…
grinned when trying not to
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what does the suffix -ible mean in the word permissible? it is permissi…
able to
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which meaning of crop is used in this sentence? corn farmers hope that …
a plant grown for food