Statistics & Probability
Data analysis, probability distributions, hypothesis testing, and statistical methods.
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how do i round 32,981 to the nearest thousand? think about the digit in…
9
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use the equation: $y = 15.8x + 30$ to answer questions #36-37. 36) afte…
2400 cm ### Question 37
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the table represents a bicycle rental cost in dollars as a function of …
This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
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independent contractors languages project # language language id code a…
D. Spanish
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the table shows the number of flowers in four bouquets and the total co…
0.28
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alejandro wants to determine the average shoe size of all of the male s…
B. every member of the boys’ basketball team
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which graphs show functions with direct variation? select three options…
(Assuming typical options, the three graphs with lines passing through the origin (0,0). For example, if the options include graphs like: - A graph with line through (0,0) and (1,…
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a store manager is looking at past jewelry sales to determine what size…
1.15
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what is the constant of variation, k, of the direct variation, y = kx, …
\( k = -\frac{2}{3} \) (corresponding to the option \( k = -\frac{2}{3} \))
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learning goal 3.1: the students will convert between fractions and deci…
$\boldsymbol{\frac{2}{5}}$, $\boldsymbol{0.4\%}$, $\boldsymbol{0.40\%}$
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the verdant landscape stretched for miles, a welcome sight after days o…
red option: green and lush with vegetation
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the number of text messages that reza sent each day so far in this bill…
The data is symmetric and shows that he typically sent about 6 to 8 text messages per day. (The first option)
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5 what is the main idea of this text? a roberto clemente was a talented…
A. Roberto Clemente was a talented baseball player from Puerto Rico who played many successful seasons for the Pittsburgh Pirates.
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c) \\(\\frac{10}{6} \\cdot 0.6\\)
1
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x | y 0 | 0 1 | 1 4 | 4 5 | 5 what is the correlation coefficient for t…
1 (the option with value 1, as the data has a perfect positive linear correlation where \( y = x \), so the correlation coefficient is 1)
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violet creates two spinners for a game. each spinner is spun once, and …
The mean is the same as the median.
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kira looked through online census information to determine the average …
D. Kira used published data that is quantitative.
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the graph represents the distribution of the number of questions answer…
4
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the dot plot represents the amount of rain recorded by rain gauges in d…
C. 11
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test scores ms. dobsons class district - wide 0 10 20 30 40 50 60 70 80…
- Ms. Dobson’s class has a smaller range of scores. - The district has a greater interquartile range. - Fifteen is an outlier for the district’s scores.
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georgianna wants to use the linear model associated with the data in th…
0 to 30 minutes
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4. why is james madison called the \father of the constitution\? a he w…
C. He was well - prepared and contributed large ideas ### Question 5
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27. the cost of a field trip is $220 plus $7 per student. if the school…
At most 40 students can go on the field trip.
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scientists studied a deer population for 10 years. they generated the f…
377 (corresponding to the option "377")
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| | meat | not meat | total | | seafood | 16 | 31 | 47 | | not seafood …
\(\frac{16}{72}\) (corresponding to the option with \( \frac{16}{72} \))
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chin canned a number of quart jars and a number of pint jars of tomatoe…
\( 16p + 32q = 1280 \) (the fourth option: 16p + 32q = 1,280)
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turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack sta…
6 (corresponding to the option "6")
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a data set is shown in the table. the line of best fit modeling the dat…
0.88
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read the lines from the passage. but it is winter with your love; i sca…
A. It demonstrates her contentment with the moment.
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the annual profits for a company are given in the following table, wher…
Regression Equation: \(y = 26.63x+75.43\) Final Answer: \(288\) thousand dollars
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if your null and alternative hypothesis are: $h_0: p = 0.16$ $h_1: p < …
A. left tailed
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y = 11x x + y = 60 chaperones (x) students (y) 3 33 4 44 5 55 6 66 chap…
5 chaperones and 55 students.
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the graph of a uniform distribution is shaped like a straight line the …
a straight line
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suppose you roll a special 9-sided die. what is the probability that th…
\(\frac{2}{9}\) (or approximately \(0.222\))
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read the lines from the passage. there was a time i stood and watched t…
C. fight
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question 10 if you randomly select a card from a well - shuffled standa…
\(\frac{4}{13}\)
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complete the table to show different ways to fill a bus. chaperones (x)…
Assuming \(y = 10x\) (proportional relationship), the values are: Chaperones (x) | Students (y) --- | --- 3 | 30 4 | 40 5 | 50 6 | 60 (Note: The problem is incomplete as the relat…
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how did technological innovations in textile mills affect the practice …
A. Faster and cheaper production of cloth raised the demand for cotton plants, which increased the need for enslaved workers on Southern plantations.
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the values of a particular distribution are uniformly distributed betwe…
\(0.4\) (or \(\frac{2}{5}\))
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lester has 12 wooden train tracks that he connects in a row. each track…
4
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the aquarium manager would like to see a direct comparison of the amoun…
B. Daily Feedings (the bar graph)
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the values of a particular distribution are uniformly distributed betwe…
\(0.25\)
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spiral review cole has 96 world cup player cards. he has 3 player cards…
32
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your favorite basketball player is a 77% free throw shooter. find the p…
23
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it takes dimitri 9 minutes to make a simple bracelet and 20 minutes to …
7 simple bracelets and 3 deluxe bracelets
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what was the underground railroad? ○ a secret network of hiding places,…
A. a secret network of hiding places, routes, people, and safe houses
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charlie walks dogs on the weekend. he tracks how many minutes he walks …
63
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the time it takes me to wash the dishes is uniformly distributed betwee…
\(0.10\)
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a line of best fit is drawn for the set of points shown on the graph. w…
(30, 38)
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if a new data point at 12 is added to the graph, which will be true? th…
The mean will increase more than the median, but both will increase.
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a poll is given, showing 60% are in favor of a new building project. if…
\( \approx 0.2007 \) (or 20.07% if expressed as a percentage)
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knowledge check question 12 tony can choose plan a or plan b for his lo…
Since the problem isn't fully stated (e.g., what's being asked about the two plans, like finding the break - even point, comparing costs for a certain minutes, etc.), we can't pro…
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x | p(x) 3 | 0.05 5 | 0.2 9 | 0.3 11 | 0.45 find the mean and standard …
Mean: \(8.80\) Standard Deviation: \(2.60\)
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sam kept track of the number of problems he was assigned for his math h…
The data is skewed and shows that half of the assignments contained 15 problems or fewer. (The option corresponding to this statement, assuming the options are labeled as, e.g., O…
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the conditional relative frequency table below was generated by column …
The value of B is not similar to the value of F. (The option: "The value of B is not similar to the value of F.")
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a jar contains 28 red marbles numbered 1 to 28 and 30 blue marbles numb…
s: (a) \(\frac{14}{29}\) (b) \(\frac{1}{2}\) (c) \(\frac{43}{58}\) (d) \(\frac{22}{29}\)
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use the spinner below. what is the probability of the spinner landing o…
$\frac{1}{4}$
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the graph shows a distribution of data. which statement about the data …
A value of 0.9 is more than 2 standard deviations from the mean. (The correct option is the last one: "A value of 0.9 is more than 2 standard deviations from the mean.")
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marisa recorded the number of hours she babysat each day last summer. s…
The data is symmetric and shows that she was equally likely to work more than 3.5 hours or less than 5 hours.
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in each row, choose the correct equation that shows the relationship be…
The equation showing the relationship is $\boldsymbol{\frac{4}{4} = 1}$ (or $\boldsymbol{4\div4 = 1}$), meaning the numerator divided by the denominator equals the whole number 1.
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the conditional relative frequency table was generated using data that …
123
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rounding x = 0.61048 round x to 4 decimal places: round x to 3 decimal …
Round x to 4 decimal places: \( 0.6105 \) Round x to 3 decimal places: \( 0.610 \) Round x to 2 decimal places: \( 0.61 \)
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there are 28 men and 72 women at a medical convention. what is the rati…
7:25
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11. the symbol \\( \\subseteq \\) means: a. proper subset b. subset c. …
B. Subset ### Question 12
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a residual plot is shown. which statements are true about the residual …
The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern. The residual plot has the pattern of a curve.
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how many rocks fill a pit that is 2 meters long? 8 rocks complete the e…
8
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there are 40 pink beads and 19 purple beads on stacys necklace. what is…
19/40
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the national school lunch program took a random sample of students who …
55% (corresponding to the 55% option)
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a game company sold 6 board games and 94 card games. what is the ratio …
6/100 (or simplified as 3/50, but based on initial numbers 6 and 100, 6/100 is also correct. If simplifying, 3/50)
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how many rocks fill a pit that is 1 meter long? 4 rocks complete the eq…
4
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of the 34 teachers at amys high school, 31 are female. what is the rati…
3/34
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calculate \\(\\overline{x}\\) (x-bar) for the data shown, to two decima…
16.62
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multiple choice 1 point deforestation has occurred in all regions of th…
-29.5%
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Question was provided via image upload.
4 rocks (corresponding to the option "4 rocks")
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25 out of 27 students are going on a field trip. what is the ratio of t…
25:2
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multiple choice 1 point deforestation has occurred in all regions of th…
-29.5%
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of the students in tinas grade, 15 students have a pet and the other 24…
8:13
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the two - way relative frequency table given shows the results from the…
40%
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pete has 96 rose bushes in his rose garden. 67 of the bushes are bloomi…
67:29
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the relative frequency table given describes students at a local high s…
90%
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there are 10 apples in a fruit basket. 9 of the apples are red and the …
1:9
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julias town voted on a new law. 43 out of 50 votes were in favor of the…
43:7
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garth is packing boxes with books. the list shows how many books are in…
The mean number of books to a box is 11. (The option corresponding to this statement, e.g., if it's the third option in the list, we would write the option as per the original que…
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bryce has 14 rose bushes in his rose garden. 2 of the bushes are bloomi…
\(1:7\)
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5. noah has a coupon for 30% off at his favorite clothing store. he use…
The regular price of the jeans is \(\$40\). ### Part b
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bill baked 45 brownies. 19 of the brownies had nuts on top. what is the…
26:19
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out of the 31 students in the gym, 21 are sitting on the bleachers and …
21:10
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question 7 (multiple choice worth 5 points) (02.09h mc) a survey from t…
22% (the option with 22%)
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name date 4. a practice field is 250 feet long. the game field is 40% l…
The game field is 350 feet long.
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there are 49 beads on akira’s necklace. 4 of the beads are pink and the…
4:45
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question 6 (multiple choice worth 5 points) (2.04hlo) anya gathered a r…
B. Type of beverage and number of ounces in the beverage (assuming the second option is labeled B; adjust identifier based on original labeling, but the text is "Type of beverage …
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question 1 (multiple choice worth 5 points) (02.01h mc) the two - way f…
There is a weak, negative association.
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there are 32 men and 8 women on an airplane. what is the ratio of the n…
1/4
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team speedy is competing in a relay race. the table shows the number of…
\(\frac{3}{10}\)
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there are 8 men and 8 women running a race. what is the ratio of the nu…
8/16 (or 1/2)
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a virus is spreading around brookfield. at the moment, 685 people are i…
988
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which model shows that it was sunny \\(\\frac{2}{3}\\) of the days in j…
The Left Graph (the first calendar model)
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an airplane has 50 seats. 48 of the seats are empty. what is the ratio …
48/2 (or simplified 24/1, but as per the problem's instruction to write as a fraction with slash, 48/2 or 24/1. But likely 48/2 simplifies to 24/1, but maybe the problem expects 4…
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managers of a theme park conducted a study of their customers for the d…
The third relative frequency table (the one with Season Pass: 24% (Over 21), 12% (21 or Younger), Total 36%; No Season Pass: 36% (Over 21), 28% (21 or Younger), Total 64%; and Tot…
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a bakery made 25 muffins that contained nuts and 25 muffins that did no…
25/50 (or 1/2)