Statistics & Probability
Data analysis, probability distributions, hypothesis testing, and statistical methods.
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passage 1 this passage expresses one author’s opinion about ocean explo…
D. floating
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is the difference between the mean annual salaries of statisticians in …
The standardized test statistic \( z\approx\boxed{1.91} \)
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28. nigel wrote the first six terms of two number patterns below. patte…
C. The \(5^{\text{th}}\), \(8^{\text{th}}\), and \(10^{\text{th}}\) term in Pattern B will be 5 times the \(5^{\text{th}}\), \(8^{\text{th}}\), and \(10^{\text{th}}\) term in Patt…
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is the difference between the mean annual salaries of statisticians in …
The critical value is \(z_0 = 1.28\). The rejection region is \(z>1.28\), so the correct choice for rejection region is B. \(z > 1.28\)
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find the product. write the answer in scientific notation (5.82 × 10³)(…
\(3.56766\times 10^{21}\)
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is the difference between the mean annual salaries of statisticians in …
\(z_0 = 1.28\)
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explain why the null hypothesis $h_0: \\mu_1 \\geq \\mu_2$ is equivalen…
A. They are equivalent through algebraic manipulation.
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explain why the null hypothesis $h_0: \\mu_1 = \\mu_2$ is equivalent to…
A. They are equivalent through algebraic manipulation.
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a climatologist claims that the precipitation in seattle, washington, w…
There is not enough evidence at the 5% level of significance to support the climatologist’s claim that the mean precipitation in Seattle is greater than in Birmingham in a recent …
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2. write an expression to match, and then evaluate. (a) $\frac{1}{6}$ t…
### Parte a: # Explicación: ## Paso 1: Encontrar la suma de 16 y 20 Primero, calculamos la suma de 16 y 20: $16 + 20 = 36$ ## Paso 2: Multiplicar la suma por $\frac{1}{6}$ Luego, …
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a recipe uses \\(\\frac{1}{3}\\) cup of flour and \\(\\frac{1}{8}\\) cu…
$\frac{11}{24}$ cup (corresponding to the third option: $\frac{11}{24}$ cup)
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a climatologist claims that the precipitation in seattle, washington, w…
Fail to reject \(H_0\) because the \(P\) - value is greater than \(\alpha = 0.05\).
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a climatologist claims that the precipitation in seattle, washington, w…
0.846
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read the model sentence from george orwells 1984. he, winston smith, kn…
Mr. Mean, a perceptive cat, had figured that his owner would be beside himself about the shredded upholstery even worse than the last time.
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passage 1 passage 2 be the best of whatever you are by douglas malloch …
D. We can't all be leaders all the time. (assuming the options are labeled A - D with D being this option; if the original options had different labels, adjust the identifier but …
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3. create comparative histograms or boxplots for the data you collected…
The subfield is Statistics (under Mathematics).
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read the model sentence from katherine patersons bridge to terabithia. …
Mia repeated the experiment, not believing the results from the spectrometer or even her own eyes, until she was practically a zombie from fatigue.
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a climatologist claims that the precipitation in seattle, washington, w…
### Critical Value: A. The critical value is \(z_0 = 1.64\) ### Rejection Region: B. \(z>1.64\)
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question 6 of 7 one of your friends share that theyve been trying out c…
C. I heard cannabis can come with health risks. Let's look into it together.
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11. a 48-ounce bag contains 144 peppermints. what is the unit rate of t…
B. 3 peppermints per ounce
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a climatologist claims that the precipitation in seattle, washington, w…
The critical value is \(z_0=\boxed{1.645}\)
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exercise 5 - simple & compound interest 1. explain how you can represen…
$\frac{1}{3}$ years (or approximately 0.3333 years) ### Problem 1 (b)
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a climatologist claims that the precipitation in seattle, washington, w…
The critical values are \( z_0=\pm\boldsymbol{1.96}\)
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a climatologist claims that the precipitation in seattle, washington, w…
A. The critical value is \(z_0=\boxed{1.645}\)
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guided practice 1. the temperature of an ice cube increases until it st…
Graph A ### Question 2
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ones filled his swimming pool with water. - mr. jones began filling the…
a. (The graph with a steep start, horizontal, less steep, horizontal, then steep again)
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climatologist claims that the precipitation in seattle, washington, was…
The claim: A. The mean precipitation in Seattle was greater than in Birmingham in a recent year. \(H_0: \mu_1 \leq \mu_2\) \(H_a: \mu_1 > \mu_2\)
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a climatologist claims that the precipitation in seattle, washington, w…
A. The mean precipitation in Seattle was greater than in Birmingham in a recent year.
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1 gallon 1 quart | 1 quart | 1 quart | 1 quart 6 gallons = ______ quart…
6 galones = 24 cuartos 7 cuartos = 14 pintos 8 pintos = 16 tazas 9 tazas = 72 onzas líquidas
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1 point possible 1er essai observe la courbe la mieux ajustée au nuage …
\( 4 \)
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2. assignment: exponential growth and decay which of the following scen…
D. A gift card with an initial balance of $288 that decreases at a rate of 16% each year.
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k. charlie is training to run a marathon. every day he puts on his snea…
4380
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2. assignment: exponential growth and decay the function $f(t) = 525(1.…
- The growth factor of the population of birds on the island is 1.076. - The initial population of birds increased at a rate of 7.6% each year.
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5. michelle is taking a 50 question science test in which each question…
46
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40 a restaurant uses decimals to measure the spice level of its burrito…
The first box (number of tenths) is 8, and the second box (decimal) is 0.8. So the sum is \( 0.8 \).
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g. 2 8 6 × 7 3 -------
20878
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you deposit money in an account that earns simple interest at an annual…
750
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frank cyr was interested in school bus safety. to keep students safe, c…
B. Frank Cyr wanted school buses to be yellow for safety reasons, so he persuaded government officials to make all school buses yellow.
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modeling real life you earn $10 per hour working at a grocery store and…
System of inequalities: \( x \geq 8 \), \( x + y \leq 30 \), \( 10x + 15y \geq 120 \), \( y \geq 0 \); Example: 8 hours at grocery store and 3 hours teaching music.
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question 11 of 20 read the following sentence: i didnt mean to say that…
B. A newbie
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guided practice exponential models in 1990, the population of washingto…
D. 571,968
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8) a recipe calls for 3 cups of oats and 2 cups of flour there are ____…
The completed table is: | Students | 24 | 48 | 72 | 96 | |----------|----|----|----|----| | Tables | 2 | 4 | 6 | 8 |
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bob bought lunch at school. he had a sandwich and a dessert that cost h…
\( s = 5.75 \); Bob's sandwich cost \$5.75.
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question 2 \demographic weighting targets come from the american commun…
A. Representativeness
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to find the number of pounds, multiply the number of kilograms by the u…
3960
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exponential models guided practice example a computer valued at $6500 i…
$0.857$
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pounds 2.2 kilograms 1 how can you convert kilograms to pounds? to find…
To find the number of pounds, multiply the number of kilograms by the unit rate, 2.2 pounds per kilogram.
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use the data in the table to construct a scatter plot. then use the typ…
To construct the scatter plot, plot the points \((6, 18)\), \((10, 50)\), \((32, 184)\), \((30, 165)\), \((11, 98)\), \((27, 129)\), \((20, 115)\), \((39, 227)\), \((16, 70)\) on …
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n | 1 | 2 | 3 | 4 | 5 f(n) | 3 | | | 75 | 375
The missing values are \( f(2)=\boldsymbol{15} \) and \( f(3)=\boldsymbol{75} \) (assuming a geometric sequence with common ratio \( r = 5 \)).
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in ancient mayan cities, the archaeologists must first ______ mayan hie…
The word "civilization" is incorrect here. A suitable word (verb) like "decipher" should be used to fill the blank as archaeologists need to interpret the meaning of Mayan hierogl…
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which of the following does not describe the ancient mayan writing syst…
C. Each symbol had its own sound. (assuming the options are labeled A, B, C with A: Symbols showed how to sound out words, B: A symbol could represent what something meant, C: Eac…
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which of the following does not describe the ancient mayan writing syst…
The option that does NOT describe the ancient Mayan writing system is: Each symbol had its own sound. ### Second Question:
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a white rhinoceros can weigh close to 1,800 kilograms. (1 kg ≈ 2.2 lb) …
\(2.2\)
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exponential models guided practice type your answer and then click or t…
1.081
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7. | n | 1 | 2 | 3 | 4 | 5 | | f(n) | 3 | | | 75 | 375 | explicit equat…
The missing values: \( f(2)=15 \), \( f(3)=75 \) Explicit equation: \( f(n)=3\times5^{n - 1} \) Recursive equation: \( f(n)=f(n - 1)\times5 \) (with \( f(1)=3 \))
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exponential models guided practice example suppose the rate of increase…
$p(x) = 281(1.014)^x$
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ant farming you have an ant farm with 22 ants. the population of ants i…
352
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using the tables, determine the common ratio (r), then write the recurs…
Common ratio \( r = 5 \) Recursive Equation: \( f(n)=f(n - 1)\cdot5 \) (with \( f(1)=3 \)) Explicit Equation: \( f(n)=3\cdot5^{n - 1} \)
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use the overall trend of each scatter plot to make the predictions belo…
## Scatter Plot 1 a. \( y = 32 \) b. \( x = 13 \) (approximate) ## Scatter Plot 2 a. \( y = 13 \) b. \( x = 5 \) ## Scatter Plot 3 a. \( y = 40 \) b. \( x = 8 \) (Note: These are …
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score on last try: 3.33 of 5 pts. see details for more. at least one sc…
The expected population of Utah in 2036 is approximately \(\boxed{4.33}\) million people. (For the year when it reaches 4.6 million, it's 2039, as given in the hint, but the quest…
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guided practice example suppose the rate of increase for the u.s. popul…
1.014
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charmaine tutors history. for each hour that she tutors, she earns 40 d…
Equation: $A = 40H$ Amount Charmaine earns for 13 hours: 520 dollars
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a real estate agency says that the mean home sales price in casper, wyo…
Reject \( H_0 \) because the \( P \)-value is less than or equal to \( \alpha = 0.05 \). There is enough evidence at the \( 5\% \) level of significance to reject the agency’s cla…
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score on last try: 3.33 of 5 pts. see details for more. at least one sc…
- Growth Rate: \( 1.78\% \) - Expected 2036 Population: \( 4 \) million - Year to Reach 4.6M: \( 2039 \)
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a real estate agency says that the mean home sales price in casper, wyo…
There \(\boldsymbol{\text{is}}\) enough evidence at the 5% level of significance to \(\boldsymbol{\text{reject}}\) the agency’s claim that the mean home sales price in Casper, Wyo…
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a real estate agency says that the mean home sales price in casper, wyo…
Reject \( H_0 \) because the P - value is less than \( \alpha = 0.05 \).
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this question has two parts. first, answer part a. then, answer part b.…
The solution of the inequality is \(x \leq 3\), which means Margie can rent the bicycle for at most 3 hours.
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a real estate agency says that the mean home sales price in casper, wyo…
\(0.010\)
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use the clues to determine which student created each scatter plot. rec…
Graph 1 (Leftmost): Kareem Graph 2 (Second from Left): Paloma Graph 3 (Third from Left): Jonah Graph 4 (Rightmost): Genevieve
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unit 4: polynomial functions problem 10. the population of deer in sout…
\( P(t)=33t + 120 \) (where \( t \) is the number of years after 2020) ### Part (b)
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score on last try: 0 of 3 pts. see details for more. next question get …
\( 7.604 \)
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a real estate agency says that the mean home sales price in casper, wyo…
\(z\approx - 2.56\)
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use the data in the scatter plot to answer each question. drag the corr…
s: 1. 6 ft 2. 8 years 3. 9 ft
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a real estate agency says that the mean home sales price in casper, wyo…
For the critical value part, the critical values are \(z_0=\pm1.96\) (Option A). For the rejection region, the correct choice is Option A with \(z < - 1.96\) or \(z>1.96\).
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6. explain how you can use proportional reasoning to determine the whol…
35
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a real estate agency says that the mean home sales price in casper, wyo…
A. The critical values are \(z_{0}=\pm1.96\)
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6. explain how you can use proportional reasoning to determine the whol…
35
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a real estate agency says that the mean home sales price in casper, wyo…
A. The mean home sales price in Casper, Wyoming is the same as in Cheyenne, Wyoming. \( H_0: \mu_1 = \mu_2 \) \( H_a: \mu_1 eq \mu_2 \)
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attendance over the last nine years with the function n(t) = 4.32t² - 8…
C
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deline highlighter speak dictionary 5 i imagine that the moon feels inv…
C. By emphasizing the speaker’s ability to understand the adults’ amazement that human travel to the moon has become a reality
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est: function concepts 7 select the correct answer. the graph shows a r…
C. \( y = -0.34x + 5.19 \)
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drag each letter based on the type of association shown by the correspo…
Positive: C, D, G; Negative: A, B, H, I; None: E, F
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for the given data, (a) find the test statistic, (b) find the standardi…
(a) The test statistic for \(\mu_1-\mu_2\) is \(\boldsymbol{40}\). (b) The standardized test statistic for \(\mu_1 - \mu_2\) is \(\boldsymbol{2.16}\). (c) The standardized test st…
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4. val buys a computer for $920. if this is 115% of what the store paid…
120
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for the given data, (a) find the test statistic, (b) find the standardi…
No
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estimate whether each expression is much smaller than 1, close to 1, or…
Since the problem is about estimating the value of expressions relative to 1 (but no specific expressions are given), we can't proceed with the estimation. However, if we assume t…
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select the correct answer. which equation best models the set of data i…
B. \( y = 33\sqrt{x} + 32.7 \)
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3. kamesh and paolo each read 40 books in one year. kamesh read 12 nonf…
Paolo read more nonfiction books, 2 more.
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5. ______, 4, 12, 36, ______, ______, …
The sequence is \( \boldsymbol{\frac{4}{3}} \), 4, 12, 36, \( \boldsymbol{108} \), \( \boldsymbol{324} \), ...
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for the given data, (a) find the test statistic, (b) find the standardi…
(a) The test statistic for \(\mu_1-\mu_2\) is \(40\) (as given). (b) The standardized test statistic for \(\mu_1-\mu_2\) is \(\approx2.16\)
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for the given data, (a) find the test statistic, (b) find the standardi…
\(40\)
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test the claim about the difference between two population means μ₁ and…
C. Reject \(H_0\). There is enough evidence at the 1% level of significance to reject the claim.
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test the claim about the difference between two population means \\( \\…
\(0.005\)
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the table represents a function. select all of the values that are in t…
9, 10
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test the claim about the difference between two population means $\\mu_…
\( z\approx - 2.78 \)
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auden approximates the area of circles using the equation a = 3r² and r…
The relation \(\boldsymbol{\text{is}}\) a function because \(\boldsymbol{\text{each radius (input)}}\) corresponds \(\boldsymbol{\text{to}}\) one \(\boldsymbol{\text{area (output)…
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test the claim about the difference between two population means $\\mu_…
\( H_a:\mu_1 eq\mu_2 \) (the symbol in the box should be \( eq \))
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a bag contains 3 cups of flour. noah removes \\(\\frac{1}{3}\\) cup of …
$2\frac{2}{3}$ cups
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what is the term for a person who thinks he/she has been wronged by ano…
C. Plaintiff ### Second Question
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a real estate agency says that the mean home sales price in casper, wyo…
A. The mean home sales price in Casper, Wyoming is the same as in Cheyenne, Wyoming.