Statistics & Probability
Data analysis, probability distributions, hypothesis testing, and statistical methods.
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understanding rate concepts 1 it takes maya 30 minutes to solve 5 logic…
Maya would finish first because she takes 6 minutes per puzzle while Amy takes 7 minutes per puzzle, so Maya's solving rate is faster.
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michael is on a train trip to treevale city. the train is traveling at …
(for part a rate): 47 ### Part (b)
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find each percent of a number. 39. 30% of 40 40. 15% of 38 41. 50% of 8…
12 ### Problem 40: 15% of 38
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select the text from the paragraph that best helps you understand that …
"Fiorentine priests solicited the general public for solutions to the dome problem" and "A number of leading architects submitted ideas" (the first sentence shows the priests aske…
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select the correct answer. which of these sentences about the status of…
C. Marriage was the only means for women to gain social mobility.
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select the correct text in the passage which of these examples from jan…
The manner in which they spoke of the Meryton assembly was sufficiently characteristic. Bingley had never met with more pleasant people or prettier girls in his life; everybody ha…
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exercise 2.5 round to the nearest whole number. 1. 29.05 2. 135.9 3. 0.…
1. 29 2. 136 3. 0 4. 20.0 5. 1.0 6. 200.0 7. 1.23 8. 0.98 9. 345.10 10. 3.000 11. 1367.098 12. 0.986
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at a gas station, the price of gas is 4 dollars per gallon. the graph b…
The vertical intercept, 0, means that $\boldsymbol{0}$ gallons cost $\boldsymbol{0}$ dollars.
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at a gas station, the price of gas is 4 dollars per gallon. the graph b…
Each additional gallon adds $4 to the total cost.
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given the following sets, find the set $(a cup b) cap c$. $u = \\{1, 2,…
A. $(A \cup B)' \cap C = \{1, 2\}$
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which statements below are true for the function rule f(x) = 12 - 2x? t…
To determine the true statements, we analyze each one using the function \( f(x) = 12 - 2x \), where \( x \) is the number of days passed. ### Statement 1: At the start of Day #6,…
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what does the vertical intercept represent in this situation? the point…
The point (0, 6) means that it costs $6 to rent the scooter for 0 hours. In other words, it costs $6 just to pick up the scooter.
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the price of bread has been increasing over the last month. brian belie…
0.09
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whats another way we can write the vertical intercept? total cost (in d…
6
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what is the vertical intercept? in other words, at what point does the …
The line crosses the vertical axis at the point $(0, 6)$.
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audrina wants to collect stickers. she starts her collection with 15 st…
had 15 stickers in her collection to start.
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a rock is dropped from a bridge over a river. which table could represe…
Table B (with time (seconds) 0, 1, 2, 3 and distance fallen (feet) 0, 16, 64, 144)
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a graph of the number of math doctoral degrees and the number of scienc…
Even though the correlation is strong, it cannot be determined whether or not there is causation.
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audrina wants to collect stickers. she starts her collection with 15 st…
The point (0, 15) means that Audrina had 15 stickers in her collection after 0 months.
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practice problems 2.5 round to the nearest whole number. 1. 49.16 2. 87…
1. $49$ 2. $88$ 3. $1$ 4. $151.3$ 5. $7.9$ 6. $64.0$ 7. $5.35$ 8. $0.90$ 9. $211.04$ 10. $7.000$ 11. $2485.076$ 12. $1.990$
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diego is painting the walls of his house. he paints 8 square meters eve…
Slope value: $8$ Correct interpretation: Every hour, he paints 8 more square meters.
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diego is painting the walls of his house. he paints 8 square meters eve…
8
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click for long desc which of the following statements best describes th…
C. The graph illustrates a strong positive correlation between the data.
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what is the correlation coefficient of the following data? is it a stro…
0.97300135; strong
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correlation coefficient quick check interpret the following correlation…
Weakest to strongest: $0.69846237$, $0.72643969$, $-0.89234651$, $-0.99872348$
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7. 0.48 , 2.4 = 8. 156 , 0.78 =
7. $0.2$ 8. $200$
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find the correlation coefficient of the following linear equation using…
1.00
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this table displays the relationship between two variables, x and y, sh…
B. 0.94
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a baseball travels ( d ) meters ( t ) seconds after being dropped from …
s: 1. The completed table is: | \( t \) (seconds) | 0 | 0.5 | 1 | 1.5 | 2 | |-------------------|-----|-----|-----|------|-----| | \( d \) (meters) | 0 | 1.25| 5 | 11.25| 20 | (Fo…
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question 10 subtract ( 9.5 \times 10^{9}-5.2 \times 10^{4} ) to type an…
9.499995x10^9
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a non - linear function\ aniyahs graph on the previous page showed that…
This is a non - linear function because the rate of change (the number of shipments per new employee) is not constant. As the warehouse gets more crowded with new employees, each …
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question 9 add 5.6 x 10^8 + 8.2 x 10^2 to type an exponent use the care…
$5.60000820 \times 10^8$ (or 5.60000820^8 in the required caret format for exponents)
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ivan is adding water to a swimming pool at a constant rate. the table b…
The rate at which the amount of water in the pool is increasing is 11 gallons per minute. ### Part (b) - Initial Amount of Water
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1. 0.6, 5 = 2. 28, 7 = 3. 14, 20 = 4. 0.54, 12 = 5. 75, 40 = 6. 1.44, 1…
1. $0.12$ 2. $4$ 3. $0.7$ 4. $0.045$ 5. $1.875$ 6. $0.12$
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question 7 divide $6.4 \\times 10^{-6} \\div 2.2 \\times 10^{-2}$ to ty…
$2.91 \times 10^{-4}$ (or formatted as 2.91e-4 / 2.91^-4 as per the caret instruction)
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question 8 divide 8.4 x 10^-4 ÷ 4.2 x 10 ^-2 to type an exponent use th…
$2 \times 10^{-2}$ (or $0.02$)
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the output of aniyahs linear function as you can see from aniyahs graph…
90
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passage from page 70: \in sheer malignity, thinking to set back our pla…
1. D. retribution 2. C. describing the animals' tireless work and the pigs' comfortable living conditions.
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6 on friday night, 100,000 + 7,000 + 300 + 80 + 9 people attended a con…
D. \(107,389 < 110,432\) ### Question 7
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aniyah’s shipping function rule aniyah wondered how many shipments 5 em…
Aniyah's function needs input (number of employees) to have a value to apply its rule (multiplying by 60) and calculate the number of shipments. Without the input, there’s no data…
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a farmer plants wheat and corn. it costs about $150 per acre to plant w…
The solution to \( w + c < 1200 \) is the region below the dashed line \( w + c = 1200 \) (with intercepts at \( (1200, 0) \) and \( (0, 1200) \)) and containing the origin. ### Q…
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which of the following is a possible r value for the graph? 0.98 0.74 0…
0.98
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which r value shows the strongest correlation? -0.98 -0.20 -0.25 -0.75
-0.98
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mr. greenman asked his class to write fractions on their tablets. the s…
(Question 4): D. None of the tablets combine to make a sum of $\frac{11}{16}$. (Wait, but maybe I misread the fractions. Alternatively, if the fractions are $\frac{3}{16}$, $\frac…
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isabelle sells corn at her familys produce stand. on saturday, isabelle…
Number of Ears of Corn Sold (Part): 13, 52, 65 Total Number of Ears (Whole): 20, 80, 100
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a function rule aniyah owns a shipping company. she wants to calculate …
The function rule is \( y = 60x \) (where \( x \) is the number of employees and \( y \) is the number of shipments).
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the circumference of a regulation discus used in the men’s olympic trac…
\( |x - 691.15| = 3.15 \)
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a pharmaceutical company wants to conduct a survey of 30 individuals wh…
A. Group the individuals by common primary care physician. For each group, assign all the individuals different numbers, and use a random number table to select an appropriate num…
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ava is running in a race from city square to city park, which is 30 blo…
50
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13. peter’s promoting is organizing a concert. the cost of the venue an…
### Part (a) # Explanation: ## Step1: Substitute \( n = 10 \) into \( p = 300n - 15000 \) \( p = 300\times10 - 15000 = 3000 - 15000 = -12000 \) ## Step2: Substitute \( n = 20 \) i…
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the survey has bias. (a) determine the type of bias. (b) suggest a reme…
(a) Nonresponse bias (b) A. The polling organization should try contacting households that do not respond by phone or face-to-face.
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the owner of a shopping mall wishes to expand the number of shops avail…
(a) B. Sampling bias (b) C. Ask customers throughout the day on both weekdays and weekends.
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the table shows the values of $4^x$ and $100x^2$ for some values of $x$…
Exponential functions (like \(4^x\)) grow by a multiplicative factor (here, ×4 per \(x\)-increase), while quadratic functions (like \(100x^2\)) grow by a polynomial (quadratic) ru…
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what is the geometric mean of 2 and 6? (simplify your answer. type an e…
\(2\sqrt{3}\)
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8 books cost $19.60. which equation would help determine the cost of 10…
D. \(\frac{10}{8}=\frac{\$19.60}{x}\)
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6. during a certain period of time, about 70 northern sea otters had an…
1. Number of sea otters after 4 years: $\approx 136$ 2. Population of fish after 10 years: $\approx 4309$ 3. Value of the home today: $\approx \$424,528$
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at volleyball practice, coach smith always sets aside 80% of the total …
90 minutes
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5 markers cost $6.55. which equation would help determine the cost of 4…
D. \( \frac{4}{x}=\frac{\$6.55}{5} \)
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3. daniels print shop purchased a new printer for $35,000. each year it…
3. The approximate value of the printer after 8 years is $\$23,219$ 4. The population of the school after 9 years is approximately 956 students 5. The value of the car after 3 yea…
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3 folders cost $2.91. which equation would help determine the cost of 2…
B. \(\frac{2}{x}=\frac{3}{\$2.91}\)
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a construction crew is lengthening a highway as part of a project. the …
$y=10x+20$
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20 write a fraction comparing the shaded to the total
$\frac{0}{10}$ or $0$ *(Note: If shaded parts were missing from the image, please clarify the shaded sections. Based on the visible drawing, no regions are shaded.)*
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a machine at a bakery contains flour. when the machine is turned on, it…
$y = -150x + 600$
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a rock climber is rappelling straight down a cliff. the table below sho…
$y=-4x+16$
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write 0.789 as a fraction in simplest form.
$\frac{789}{1000}$
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#12 listen describe the relationship between the time and the balance o…
As time increases, the loan balance stays constant, then decreases instantly, then decreases slowly at a constant rate, then decreases at a constant rate. (Filling the blanks with…
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2. the population of a town is 2500 and is decreasing at a rate of 3.5%…
Approximately 2091 (rounded to the nearest whole number, since population is a whole count)
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the following passage is about the atacama desert in chile. select the …
"Frigid water in the ocean means fewer clouds, less rain. And so, along that particular coast, the land turned extremely dry. In what is called the Atacama Desert it may not rain …
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9. \\begin{array}{r} 0.4 \\\\ \\times 0.04 \\\\ \\end{array} 10. \\begi…
9. $0.016$ 10. $8.46$ 11. $0.09$ 12. $0.79864$
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1. the function ( g(x) = |0.05x - 0.85| + 1.77 ) models the gas price, …
The number of weeks \( x \) is \( \boldsymbol{2} \) or \( \boldsymbol{32} \) (If we consider the context of the time period from January 6, 2020 to August 24, 2020, both \( x = 2 …
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use <, >, or = to compare the following numbers.
\(-6 < -4\)
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use <, >, or = to compare the following numbers. -1 -10 -7 -6 6 -3
-1 > -10 -7 < -6 6 > -3
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4. el treinta y cinco por ciento de los habitantes encuestados estaban …
A. 780
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divide. write your answer in\\(\\frac{4}{3} \\div \\frac{2}{15}\\)
10
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17. ten and two tenths 18. four hundred one and four ten - thousandths …
17. $10.2$ 18. $401.0004$ 19. $5208.1$
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10. 4,002 ten - thousandths 11. two and five hundredths 12. thirteen an…
10. $0.4002$ 11. $2.05$ 12. $13.00002$ 13. $1003.0002$ 14. $55.50$ 15. $1.14$ 16. $11004.012$
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7. 3 hundredths 8. 10 thousandths 9. 132 ten - thousandths
7. $0.03$ 8. $0.01$ (or $0.010$) 9. $0.0132$
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1. 7 tenths 2. 1,000 ten - thousandths 3. 475 thousandths 4. 32 hundred…
1. $0.7$ 2. $0.1$ 3. $0.475$ 4. $0.32$ 5. $0.012$ 6. $0.2345$ 7. $0.03$
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the table shows the movement of a stock for 30 randomly selected tradin…
### (a) Frequency Distribution: | Movement | Frequency | |------------|-----------| | Down | 12 | | No change | 2 | | Up | 16 | ### (b) Relative Frequency Distribution: | Movement…
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review the details below. drawing on its importance as a symbol to the …
The Lincoln Memorial is a popular and meaningful monument for millions of Americans.
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suppose a survey was conducted in which participants were asked to disc…
| Day | Relative Frequency | |-----------|--------------------| | Sunday | 0.100 | | Monday | 0.075 | | Tuesday | 0.125 | | Wednesday | 0.150 | | Thursday | 0.050 | | Friday | 0.3…
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find the 56th percentile for the data shown below.\ \ | x |\ |-----|\ |…
17
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11. seventeen and two tenths 12. sixteen and three hundred forty - five…
11. $17.2$ 12. $16.345$ 13. $1110.001$ 14. $44.3$ 15. $1.87$ 16. $1.0027$ 17. $2.008$
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find the following for the data shown: 1\t11 16\t29 34\t38 39\t42 96\t9…
Round up to 2, select 2nd value: 16 Yes, that's correct. But wait, another way to calculate percentile rank is (number of values less than x + 0.5*number of values equal to x)/n *…
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in a round - robin chess tournament, each player is paired with every o…
$(12, 66)$
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2. marcus paid $4.50 for ¾ pound sliced deli ham. what is the price per…
$\$6.00$ per pound
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7. 8 tenths 8. 332 thousandths 9. 44 hundredths 10. 100 thousandths
7. $0.8$ 8. $0.332$ 9. $0.44$ 10. $0.1$
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look at this set of ordered pairs: (20, 15) (1,11) (-1, 13) (20, 11) (0…
no
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look at this table: x | 4 | 4 | 19 | 19 y | -1 | 17 | 19 | 5 is this re…
no
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look at this table: x\t16\t-8\t11 y\t18\t19\t-3 is this relation a func…
yes
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look at this table: | x | y | |----|----| | 9 | 9 | | -1 | 6 | | 13 | 0…
yes
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multiple choice question choose the correct formula for the location, (…
The correct option is the first one: \( \boldsymbol{L_p=\frac{(n - 1)P}{100}} \) (the option with \( L_p=\frac{(n - 1)P}{100} \))
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look at this set of ordered pairs: (2, 20) (1, 6) (19, 12) (12, 3) is t…
yes
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calculate the 15th percentile of the data shown x 1.5 11.1 16.2 16.3 17…
method for the 15th percentile here is: - n=7, sorted data. - The position is $i = \frac{15}{100} \times 7 = 1.05$. - Since $i$ is not an integer, we round up to 2, so the 2nd obs…
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multiple choice question \ ewline which of the following is not a measu…
O standard deviation
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multiple select question select all that apply which of the following a…
A. One dot for each observation. B. Dots "piled up" for observations very close together. C. A horizontal line indicating the possible values of the data.
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read the excerpt from the land, part 4. mitchell didnt say anything, an…
Paul's father
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based on the boxplot above, identify the 5 number summary
6, 10, 12.5, 15, 18
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multiple select question select all that apply what statements below de…
A. Histograms are more useful for large data sets B. Dot plots show the relative frequency of data values C. Dot plots are most useful for small data sets
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multiple choice question what is the measure of position called below w…
The third quartile