统计与概率
数据分析、概率分布、假设检验与统计方法。
-
consider the following experiment: draw a single card from a standard d…
\(\frac{1}{52}\)
-
consider the following experiment: roll a die and record the number on …
\(\frac{1}{2}\)
-
3 an allegory is a story that has what two types of meanings? literal a…
C. Literal and symbolic
-
consider the following experiment: toss a coin twice and record the seq…
\(\frac{1}{4}\)
-
a password for a computer system consists of five characters. each char…
60466176
-
a standard card deck has 52 cards. how many three - card hands are poss…
22100
-
in how many different orders can 16 horses in the kentucky derby finish…
43680
-
the manager of a baseball team of 9 players wants to assign infield pos…
60480 (if r=6) or 15120 (if r=5). But based on the problem's text, if infield positions are 6 (first, second, third, catcher, pitcher, shortstop), then the answer is 60480. If it'…
-
read the sentence below from paragraph 2. the man watched him go, and h…
C. irregular
-
how many different five - person committees can be formed in a club wit…
2002
-
7.4 score: 10/17 answered: 10/17 question 11 how many different photogr…
720
-
what does it mean if you have keen eyes like an eagle? you dont miss wh…
You don't miss what is really going on.
-
7.4 score: 9/17 answered: 9/17 question 10 how many different photograp…
\( 6 \)
-
four people have lunch at a buffet restaurant, where everyone pays the …
Price of food per person
-
read the sentence below from paragraph 9. in this cache would be ammuni…
D. trapping
-
7.4 score: 8/17 answered: 8/17 question 9 evaluate. \\(\\dbinom{100}{1}…
\(100\)
-
horizontal analysis: multiple choice ○ is a method used to evaluate cha…
A. Is a method used to evaluate changes in financial data across time.
-
7.4 score: 5/17 answered: 5/17 question 6 evaluate. c(6, 3) = question …
20
-
7.4 score: 4/17 answered: 4/17 question 5 evaluate. c(12,11) = question…
\( 12 \)
-
7.4 score: 3/17 answered: 3/17 question 4 evaluate. $p(8,4) = $ questio…
\( 1680 \)
-
7.4 score: 2/17 answered: 2/17 question 3 evaluate. p(5, 4) = question …
\( 120 \)
-
grace rakes leaves every day for one week. she fills the same number of…
Number of bags filled each weekday
-
7.4 score: 1/17 answered: 1/17 question 2 evaluate. \\(\\frac{6!}{3!}\\…
\(120\)
-
the data show the number of pieces of mail delivered to a single home a…
B. A dot plot would show 7 points for numbers greater than 2, E. A histogram would have a maximum of 7 bars (assuming the options are labeled as A to F with A being the first, B t…
-
11. mr. mancelli teaches fifth - grade math. he is making prize bags fo…
4
-
the graph shows the number of pages in each chapter of a book that josh…
The outlier of 2 decreases the mean page count. (Corresponding option: The outlier of 2 decreases the mean page count.)
-
there are 8 sophomores on the academic team. at the last competition, t…
79%
-
a mini - golf course is determining the par score for each of its holes…
The mean is the best choice because the data is nearly symmetrical. (Corresponding to the first option: The mean is the best choice because the data is nearly symmetrical.)
-
tristan records the number of customers who visit the store each hour o…
20 (Option: 20)
-
the dot plot shows the number of text messages mr garcia sent each day …
The graph is nearly symmetrical.
-
mr. li records the measures of the lengths of his students handspans. t…
8
-
what is the decimal representation of \\(\\frac{5}{12}\\)? show your re…
The decimal representation of $\frac{5}{12}$ is $0.41\overline{6}$ (or approximately $0.4167$ if rounded to four decimal places).
-
the table shows the heights, in inches, of players on a girls’ basketba…
69 (corresponding to the option "69")
-
problem 1 - part b clare makes glitter glue by mixing \\(\\frac{7}{8}\\…
\(\frac{8}{7}\) (or \(1\frac{1}{7}\))
-
justifying a better measure of center explain when the median of a data…
The median is a better measure of center than the mean when the data set contains outliers (extreme values) or is skewed (not symmetric), as the median is resistant to extreme val…
-
problem 1 - part a clare makes glitter glue by mixing \\(\\frac{7}{8}\\…
\(\frac{21}{8}\) (or \(2\frac{5}{8}\))
-
question the weight of oranges growing in an orchard is normally distri…
0.092
-
evaluating a histogram the data set 80, 84, 79, 44, 87, 73, 89, 90, 82,…
- Distribution Type: Left - skewed (Negative Skew) - Mean: \(\approx81.07\) - Median: 83 - Best Measure of Center: Median
-
choosing a measure of center create a dot plot of the data shown below.…
Mean (or Median) would be best, because the data distribution is approximately symmetric (or nearly symmetric with no strong skewness). (Note: If we check the dot plot, after plot…
-
which of the following is the best evidence to support the following re…
Statistics show DC residents pay 95% of the highest per - capita federal taxes in the United States.
-
25 read this sentence from paragraph 2 of passage 2: the daughter is hi…
25. (Assuming the correct option is the one with "constrained"—e.g., D. constrained) 26. D. steered (or the option with similar meaning to "guide") 27. C. Douglass escaped from en…
-
question at a local restaurant, the amount of time that customers have …
\( 0.909 \) (rounded to the nearest thousandth)
-
question the weight of oranges growing in an orchard is normally distri…
$15.7\%$
-
practice analyzing dot plots, histograms, and measures of center. the t…
# Explanation: ## Step1: Find the Median First, we list the data points of "Pounds of Trash" in order: \(3.25, 3.25, 3.66, 3.83, 4.44, 4.52, 4.57, 4.69, 4.74\) (Wait, wait, let's …
-
the weight of oranges growing in an orchard is normally distributed wit…
$32.3\%$
-
perform the following calculation and express the answer to the proper …
\(\boxed{48.0}\) (or \(\boxed{48}\) depending on significant figure interpretation, but more accurately, considering the steps, \(\boxed{48.0}\))
-
question when emily goes bowling, her scores are normally distributed w…
91.3%
-
9. the heights, in inches, of eight football players are given below. 7…
1) The box plot labeled 1 (with number line 65, 70, 75, 80, 85, box from ~70 to ~75, median ~71.5, whiskers from ~69 to ~78) ### Problem 10 (Substitution Method for System of Equa…
-
the probability distribution of anas score x on a randomly selected rol…
(for part a): The graph is right - skewed with the highest probability at 10. ### Part (b)
-
question iq scores are normally distributed with a mean of 100 and a st…
86.2%
-
four runners, fran, olona, haley, and imani, compete on a relay team. h…
\( S = \{FOI, FIO, OFI, OIF, IFO, IOF\} \) (the third option)
-
question on a standardized exam, the scores are normally distributed wi…
0.6
-
5. $42.01 - $6.92 = ______ 6. 75.2 + 82.3 = ______ 7. \\begin{align*} 1…
350
-
two students from a group of eight boys and 12 girls are sent to repres…
\(\frac{62}{95}\) (corresponding to the option with \(\frac{62}{95}\))
-
question on a standardized exam, the scores are normally distributed wi…
0.25
-
ann is a dedicated skee ball player who always rolls for the 50 - point…
X is a discrete random variable because it takes a fixed set of numerical values with gaps between them. (The corresponding option: the third option in part (a)) ### Part (b)
-
patty, quinlan, and rashad want to be club officers. the teacher who di…
\(S = \{PQ, QP, PR, RP, QR, RQ\}\) (the fourth option)
-
a study of 12,000 able - bodied male students at the university of illi…
\( 0.0668 \)
-
classify each of the following random variables as discrete or continuo…
- Discrete Random Variable: Y (the number correct on a recent multiple - choice test for a randomly selected student in your class), W (the exact amount of sleep that a randomly s…
-
faked numbers on tax returns, invoices, or expense account claims often…
(for part a): \( P(X = 1) = 0.301 \) (corresponding option: the one with \( P(X = 1) = 0.301 \)) ### Part (b)
-
question for the following set of data, find the number of data within …
8
-
minimum: 21 maximum: 87 step 2: round the minimum down to the nearest 1…
70
-
imagine selecting a u.s. high school student at random. define the rand…
\( X \) is a discrete random variable because it takes a fixed set of numerical values with gaps between them. (The second option) ### Part (b)
-
step 1: find the minimum and maximum values. minimum: maximum: step 2: …
90
-
create a histogram with five intervals from this data set: 21, 37, 56, …
20
-
20% = \\frac{20}{100} = \\frac{1}{5} 75% = \\frac{75}{100} = \\frac{\\q…
$\frac{3}{4}$
-
create a histogram with five intervals from this data set: 21, 37, 56, …
\(87\)
-
create a histogram with five intervals from this data set: 21, 37, 56, …
21
-
question the box-and-whisker plot below represents some data set. what …
72
-
machines that fill bags with powdered sugar are supposed to dispense 32…
0.0475
-
the graph below represents the number of goals scored by the boys socce…
5
-
9 choose the correct answer. ______ - a popular poet of the harlem rena…
B. Hughes ### Question 10
-
the fahrenheit temperature readings on several spring mornings in new y…
21
-
classify each of the following random variables as discrete or continuo…
Discrete Random Variable: \( X \) (the reported score of a randomly selected senior at your school on the SAT Math test), \( H \) (the number of homework problems assigned by your…
-
graph below represents the number of miles, y, that janelys can drive h…
The rate of change is \(35.2\) miles per gallon.
-
question the dot plot below represents the number of goals scored by th…
5
-
question the graph below represents the result of a survey in which a n…
7
-
choose a person aged 19 to 25 years at random and ask, \in the past sev…
0.80
-
question find the median and mean of the data set below: 42, 23, 23, 49…
Median = \( 23 \) Mean = \( 24 \)
-
17. investing your money earns you more money because of... checking ac…
C. Compound growth ### Question 18
-
consider the data shown below. 6, 8, 0, 2, 2, 8, 7, 8, 4, 8, 6, 3, 8, 2…
Mode would be better, because the data distribution is skewed (or has a mode with high frequency, or not symmetric). (Note: The exact answer may depend on the options, but based o…
-
the function is linear because as x increases, the y values change of t…
The function is linear because as \( x \) increases, the \( y \)-values change with a common difference/slope of \(-10\).
-
answer attempt 1 out of 2 the function is because as x increases, the y…
The function is \(\boldsymbol{\text{linear}}\) because as \( x \) increases, the \( y \)-values change by a constant rate. The rate of change of this function is \(\boldsymbol{-10…
-
drag the words into the correct boxes a job or series of jobs you do ov…
To solve this drag - and - drop problem, we match each definition with the correct term by understanding the meaning of both the definition and the term: 1. "a job or series of jo…
-
9. complete the table of equivalent ratios. | chickens | 15 | 25 | | | …
The completed table is: | Chickens | 15 | 25 | 60 | 30 | |----------|----|----|----|----| | Rabbits | 12 | 20 | 48 | 24 |
-
8. the ratio of chicken tenders to chicken nuggets was 7 to 9. if there…
108
-
answer attempt 1 out of 2 the function is because as x increases, the y…
The function is \(\boldsymbol{\text{linear}}\) because as \( x \) increases, the \( y \)-values change by the \(\boldsymbol{\text{constant rate}}\) of \(\boldsymbol{-3}\) of this …
-
the draft uses simple words like good and bad to describe jordan’s two …
Replace "good" and "bad" with adjectives like "virtuous" and "rebellious" to show contrast more clearly.
-
4 select the correct answer. state governments have a _______ form of g…
B. unitary
-
6. anna made 11 baskets in 2 minutes. at that rate, how many baskets wo…
27.5
-
determine if the function below is linear or exponential then fill in t…
The function is exponential because as \( x \) increases, the \( y \)-values change by a constant ratio of 3. The base of this function is exactly 3.
-
the logarithmic equation is a nonlinear regression equation of the form…
\(\hat{y}=\boldsymbol{60.00}+\boldsymbol{5.00}\ln x\) (Note: Actual values depend on the specific data set. If you provide the data table, the exact values of \( a \) and \( b \) …
-
in \monster\ (source 2) and \jekyll and hyde\ (source 1), how do the au…
A. In "Monster," the mirror shows the narrator feels lost and disconnected, and in "Jekyll and Hyde," the day/night contrast shows the speaker struggles with two sides of himself.
-
8, 2, 4, 5, 9, 10, 7, 0, 3, 9, 4, 4, 3, 8, 8, 11, 8, 10, 5, 10, 11, 2 *…
For interval 0–2: 3 For interval 3–5: 7 For interval 6–8: 5 For interval 9–11: 8 (If the question is to fill the frequency boxes, these are the counts.)
-
1. does the graph show a proportional relationship? if so, find the con…
Yes, the graph shows a proportional relationship. The constant of proportionality is \(1\).
-
round each decimal to the nearest one. then add or subtract. 1. 2.8 + 1…
- \(2.8 \to 3\) - \(1.3 \to 1\) - \(3 + 1 = 4\) - So, \(2.8 + 1.3\) is about \(4\) ### Problem 2: \(5.98 - 1.03\)
-
example 2 estimate 5.26 + 1.93 by rounding to the nearest one. 5.26 → 1…
5.26 → \( 5 \) 1.93 → \( 2 \) \( 5 + 2 = 7 \) The sum is about \( 7 \)
-
temperature was 37.6°f. estimate the difference in temperatures. one wa…
The difference is about \( \boldsymbol{10} \) \(^{\circ}\text{F}\) or about \( \boldsymbol{7} \) \(^{\circ}\text{F}\). The actual difference is \( 6.3^{\circ}\text{F} \). So, roun…
-
another way round to the nearest one. round 37.6 to the nearest one. 37…
37.6 → 38 31.3 → 31 38 - 31 = 7
-
lesson 6 extra solve proportio solve each proporti 1. \\(\\frac{x}{15}=…
$x = 12$ ### Problem 4: $\boldsymbol{\frac{5}{t}=\frac{0.5}{0.3}}$