Statistics & Probability
Data analysis, probability distributions, hypothesis testing, and statistical methods.
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which is the most accurate way to estimate 65% of 523? \\(\\frac{1}{4} …
\(\frac{2}{3}\times510\)
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which is the most accurate way to estimate 21% of 47? \\(\frac{2}{5} \t…
$\frac{1}{5}\times45$
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could strike that win from my list of goals. taking it off was extremel…
The clue "in this case, my effort was rewarded. It was a simple example of hard work leading to victory" helps understand what "case" means.
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lucia’s jaw dropped. “how did you do that?” she asked. i smiled. “plent…
In this context, "case" means a particular incident or event.
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a card is drawn from a well - shuffled deck of 52 cards. find the proba…
\(\frac{2}{13}\)
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a card is drawn from a well - shuffled deck of 52 cards. find the proba…
\(\frac{1}{26}\)
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use the basic probability principle to solve the following problem. exp…
\(\frac{1}{6}\)
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solution 6 ria solves the equation 5 + 3r = 4 + 4r and gets r = r. she …
The correct solution is \(r = 1\). Ria's mistake was misinterpreting the result \(r = r\) as meaning the equation has infinitely many solutions; in reality, she should have contin…
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there were 12 stray cats in a town. one year later, there were 21 stray…
75
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37 is 74% of what number? round to the nearest whole number.
\( 50 \)
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convert the following proportion into a percent. \\(\\frac{24}{97}\\) ?…
25%
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review the fourth paragraph. sooner or later 1 why put off until tomorr…
It states the opposing claim.
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review the third paragraph. sooner or later 1 why put off until tomorro…
One study found that people who delayed starting a task came up with more creative ideas.
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the graph shows costs and projected costs at private four-year colleges…
It will be almost four times the cost of a public two - year college.
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which is most useful in understanding how the cost of a college educati…
B. data and statistics (assuming the options are labeled A - D with B as data and statistics; if original labels differ, adjust, but based on content, the correct option is the on…
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the word visual contains the root vis. what does the root vis mean? see…
A. see
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the word evacuate contains the root vac. what does the root vac mean? c…
C. empty
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the word facility contains the root fac. what does the root fac mean? s…
do or make
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the word decagon contains the root dec. what does the root dec mean? be…
D. ten
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the word compensate contains the root pens. what does the root pens mea…
weigh out or distribute
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that means x ≤ -4 is the solution set of x + 3 ≤ - test a value not inc…
FALSE
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a school district wants to conduct a sample survey to determine the ave…
C. The district surveys 500 randomly selected high school seniors in the district.
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37, 28, 80, 66 what is the range of the values shown? choose 1 answer: …
D. 52
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within 1.5 miles of school more than 1.5 miles from school walk or bike…
266
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read the excerpt from chapter 6 of animal farm. every human being held …
They are motivated by others' failures.
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consider this claim: daylight saving time should be abolished. which is…
A study from the National Bureau of Economic Research found that turning the clocks forward in the spring increased energy consumption, contradicting the popular belief that dayli…
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solve the inequality $x + 3 \\leq -1$. $\\begin{align*} x + 3 &\\leq -1…
$-1$
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solve the inequality $x + 3 \\leq -1$. $\\begin{align*} x + 3 &\\leq -1…
$x \leq -4$
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consider this claim: it is important to use standard punctuation when t…
Punctuation marks have different meanings in texting, so following standard punctuation rules can cause confusion.
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9. sketch a scatterplot with a correlation coefficient close to 0 and o…
d. The line of best fit is the one with the smallest sum of the squared residuals.
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taking with vocabulary (continued) in exercises 12 and 13, graph the li…
You have the better savings plan because the slope of your savings function (\( 50 \)) is greater than the slope of your friend's savings ( \( 40 \) ), meaning you save more per m…
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the given graph represents the probability that two people in the same …
a. \( f \) is strictly increasing, so it is one-to-one and has an inverse function. b. \( f^{-1}(0.25) \): Number of people needed for a 25% probability of a shared birthday; \( f…
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the more i think about my parents sadistic decision to send me to mccle…
C. sadistic, masochistic, and snotty
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paul and justin are on their schools running team. before school, paul …
For Paul: 6 shoes (since 12 ÷ 2 = 6). For Justin: 5 shoes (10 ÷ 2 = 5). So in the graph, Paul's row should have 6 shoes, Justin's 5. (Assuming the existing shoes are less, so add …
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here are the shopping times (in minutes) of ten shoppers at a local gro…
| Shopping time (in minutes) | Frequency | |----------------------------|-----------| | 18 to 22 | 3 | | 23 to 27 | 1 | | 28 to 32 | 1 | | 33 to 37 | 4 |
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your answer is incorrect. - 66 to 71: your answer is incorrect. - 72 to…
| Test score | Frequency | |------------|-----------| | 66 to 71 | 3 | | 72 to 77 | 2 | | 78 to 83 | 1 | | 84 to 89 | 5 |
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polly and her friends were talking about how many road trips they had e…
To complete the picture graph: - Polly: Color 2 cars (since \( \frac{6}{3} = 2 \)). - Manny: Color 1 car (since \( \frac{3}{3} = 1 \)). - Mona: Color 4 cars (since \( \frac{12}{3}…
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iii. what can i do with what i know: solve the following problems. writ…
720
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the weekly salaries (in dollars) for 7 employees of a small business ar…
(a) It decreases by \(\$26\). (b) It stays the same.
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iii. what can i do with what i know: solve the following problems. writ…
720
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the numbers of trading cards owned by 10 middle - school students are g…
(a): It stays the same. ### Part (b)
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each of 7 students reported the number of movies they saw in the past y…
(a) Median: \(12\) movies (b) Mean: \(10.1\) movies
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a group of 6 students was asked, \how many hours did you watch televisi…
15
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each of the 6 cats in a pet store was weighed. here are their weights (…
(a) Mean: 11.7 pounds (b) Median: 11.5 pounds
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iii. what can i do with what i know: solve the following problems. writ…
720
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iii. what can i do with what i know: solve the following problems. writ…
1. \(720\) 2. \(2730\) 3. \(504\) 4. \(140\) 5. \(60\)
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some pieces of music might have many meanings—the composition of charlo…
C. support
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practice 4.4 bioaccumul the graph shows the quantities of microplastics…
a. 54 b. 88
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you come across the word \quintessential\ in your reading and want to d…
Merriam - Webster’s Collegiate Dictionary (Print)
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find the value of \\(\\frac{8!}{5!3!}\\).
\(56\)
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find the value of 11! 39,916,800 19,958,400 3,628,800 479,001,600
\(39,916,800\)
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the table shows the height, in meters, of an object that is dropped as …
According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground.
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the table shows the average number of hours of daylight per day for the…
\(-0.993\)
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the graph shows the relationship between the price of frozen yogurt and…
13
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the equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set …
20
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devin recorded the number of hours he played a video game, x, and the l…
\( \boxed{3.0} \) (or 3 hours, rounded to nearest half hour)
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the regression calculator shows the relationship between the hours devi…
5 (assuming the options are 2,3,4,5 and the correct one is 5 for extrapolation as it's beyond the data's x-range (max x=4))
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using the regression calculator week | miles run 1 | 5 2 | 8 4 | 13 6 |…
The equation of the line of best fit is \( y\approx1.670x + 4.706 \)
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rita is starting a running program. the table shows the total number of…
\(y\approx\boxed{1.670}x+\boxed{4.706}\)
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the data in the table represents a companys profit based on the number …
\(y=-1.026x^{2}+1016.402x - 162075\)
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the quadratic regression graphed on the coordinate grid represents the …
The height of the surface decreases from the center out to the sides of the road.
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the table shows the wavelength of the sound produced by keys on a piano…
49.31 cm
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the data in the table compares x, the number of pages in a chapter, to …
21
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janna is making a prediction of the frequency of a key that is 12 keys …
extrapolation, because a key that is 12 keys from middle C is outside the data set
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the table shows the population of a small town over time. the function …
C. 2025
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the table shows the estimated number of bees, y, in a hive x days after…
\(y = 9958(0.972)^{x}\)
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the annual rainfall in a certain region is approximately normally distr…
a) \(60.3\%\) b) \(71.2\%\) c) \(30.4\%\)
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the weights of a certain dog breed are approximately normally distribut…
For the z - score of a 53 - pound dog: \(z = 0.57\) For the dog with \(z = 0.13\): \(49.9\) pounds For the dog with \(z=-0.13\): \(48.1\) pounds
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a variable ( x ) is normally distributed with mean 16 and standard devi…
a) \(z\approx2.33\) b) \(z\approx - 1.67\) c) \(x = 25\) d) \(x = 13\) e) \(x = 16\)
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in a normal distribution, a data value located 0.6 standard deviations …
\(z=-0.6\) \(z = 2.4\) \(z = 0\)
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consider the standard normal distribution. the mean is always and the s…
The mean is always \(0\) and the standard deviation is always \(1\).
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question 4 test scores use the empirical rule to answer the following q…
a. \(75\) b. \(4\) c. \(68\) d. \(95\) e. \(99.7\) f. \(34\) g. \(50\) h. \(84\)
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the testing times for a group of college students were normally distrib…
- 68% of testing times were between \(32.9\) minutes and \(37.1\) minutes. - 95% of testing times were between \(30.8\) minutes and \(39.2\) minutes. - 99.7% of testing times were…
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the time to complete an exam is approximately normal with a mean \\( \\…
41, 44, 47, 50, 53, 56, 59
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which of the following statements are true about the normal distributio…
- Data values farther from the mean are less common than data values closer to the mean. - 50% of the data values lie at or above the mean. - The graph of the Normal Distribution …
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find the 5 number summary for the data shown below. 57 18 51 96 97 75 7…
\(18\), \(55.5\), \(72.5\), \(88.5\), \(97\)
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the data below represents the number of t - shirts sold per week by a s…
\(10.6\)
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find the mode for the following data. | deliveries each week | frequenc…
\(3\)
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question 2 consider the following data set. round your answers to the n…
Mean = $66.7$ Median = $67.5$ Mode = $81$ Range = $36$ Sample Standard Deviation = $13.18$
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find the value of \\(\\frac{11!}{3!8!}\\). question help: message instr…
165
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a carnival sells tickets at a constant rate. the table and graph below …
Every time the number of **tickets sold (\(x\))** increases by \(1\), the number of **dollars earned (\(y\))** increases by \(16.8\) to keep the rate of sales per ticket the same.
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what could be predicted if elisondra and her friends use the spinner to…
B. Elisondra will order first approximately 10 times; E. Each person will order first approximately the same number of times.
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elisondra is eating at a restraurant with three friends. they want to c…
D. 4
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traditional customs and traditions determine what is to be produced. di…
Communist
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analyzing how dialogue develops a central idea image of a comic strip w…
D. It demonstrates that the children do not realize what the veils mean.
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practice 1. in 5 rounds of a game, jill scored -3, 8, 9, -7, and 13. wh…
4
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analyzing how characterization creates satire \the story began badly,\ …
C. He exposes the aunt’s flaws by telling an improper story that occupies the children.
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what is the meaning of \current information?\ (ct1; il1) ○ the topic is…
It is up to date.
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to figure out how many vacation days she had left to use, kiera looked …
2.5 days per year
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each year, the campers at rebas summer camp try to set that summer’s re…
between 2011 and 2013
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shown to the right is a certain population, in billions, for seven sele…
slightly overestimates
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the data in the table below show the percent of miscarriages, by age. a…
A. (The scatter plot in Option A, where the x - axis is Woman's Age and y - axis is % of Miscarriages, with points showing an accelerating increase as age increases)
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the root dict means say or declare. what does the word edict mean? an o…
an order issued by a person with authority
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sartre argues that when he speaks of despair, he means that ○ when one …
For the first question: one should reckon only with what depends on our will. For the second question: the way one acts.
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sartre argues that when he speaks of forlornness, he means that we are …
First question: God does not exist, so we must face all of the consequences of this. Second question: they fail to realize that, without God, there can be no a priori standard of …
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according to nietzsche, master morality originates from the aristocrati…
- First question: the aristocratic man's spontaneous self - glorification - Second question: Man exists in a godless universe, without any determinate nature or essence: he create…
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nihilism is the belief that ○ v ○ nothingness is an illusion of the min…
For the first question: The world is meaningless. For the second question: the need for slaves to survive.
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look at the word jeopardy in the passage below. from the late 1800s thr…
danger or risk
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what is the meaning of bite the bullet?anel didnt want to write the boo…
To do something unpleasant but necessary.
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what is the meaning of better half? mr. palmer’s coworkers finally met …
Someone's husband or wife.