統計と確率
データ分析、確率分布、仮説検定、統計手法。
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question 6 of 7. step 1 of 1 if a jeep travels 391 miles on 19 gallons …
20.6
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an unknown metal has been found and the following experimental results …
Predicted Volume \((\hat{y})=6.804x + 7.957\)
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for each equation, drag the statement that has the same meaning as that…
- \(p(4)=d\) matches "The number of polar bears in the park after 4 years equals \(d\)." - \(p(y)=24\) matches "There will be 24 polar bears in the park after \(y\) years." - \(p(…
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the function c(s) gives the number of corn ears a farmer can harvest by…
- "After planting 800 seeds, there will be 600 corn ears" → \(c(800) = 600\) - "There will be \(e\) corn ears when 200 seeds are planted" → \(c(200)=e\) - "The number of corn ears…
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question 37 (mandatory) (1 point) listen a european nation that reached…
a) indirect rule. ### Question 38
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read the excerpt from \the yellow wallpaper.\ at night in any kind of l…
The narrator feels imprisoned by her life.
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step 2 of 2: find the highest season batting average for the six years …
0.274 (or 0.27, depending on graph precision; likely 0.274 as per the point's position)
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question 1 of 9, step 2 of 2 step 2 of 2: find the highest season batti…
\(0.26\) (or the highest value from the 2013 point, likely \(0.26\) or \(0.27\); based on the graph, the highest is the 2013 batting average, which is above \(0.259\), so the answ…
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step 1 of 2: find the lowest season batting average for the six years s…
0.214
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what does this graph tell you about the growth of the corn stalk? growt…
The stalk grew at a rate of \(6.25\) inches per week.
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ted math 2a credit 5 / alvin hartley - integrated math 2a, credit 5.pdf…
d. 24 ways
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a certain college has 10,400 applicants for 800 openings. what is the u…
13 applicants per opening
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learning goals from lesson 5.4 ✓ i can find probabilities of compound e…
c. $\frac{8}{52}$
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there are 9 identical plastic chips numbered 1 through 9 in a box. what…
$\frac{1}{9}$
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learning goals from lesson 5.3 ✓ i can make two - way tables, and i can…
b. \(\frac{5}{9}\)
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review 1 - item 4420 what does this graph tell you about the price of a…
The quotient \(2.3/0.45\) is the price per pound of almonds.
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learning goals from lesson 5.2 ✓ i can find probabilities of independen…
b. independent; 0.16
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learning goals from lesson 5.1 ✓ i can find sample spaces, theoretical …
b. 21.3%
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reasoning tell whether the question can be answered using permutations …
45
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evaluate the expression. (example 2) 26. \\( _8c_5 \\)
56
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17. eleven students are competing in an art contest. in how many differ…
990
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evaluate the expression. (example 2) 10. ( _7p_3 )
210
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review the passage. the personification is shown in bold. little waterf…
It creates a peaceful atmosphere.
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review the passage. the hyperbole is shown in bold. \aint you thinkin w…
It suggests that it is fruitless to think too much about the future.
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review the passage. the simile is shown in bold. oh! but he was a tight…
It illustrates Scrooge's unfriendly personality.
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at anels pizza, \\(\\frac{1}{2}\\) of the orders included pepperoni piz…
Anela's Pizza
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ph = -logh+ aeen is drinking a beverage that has a ph of 3.3. marien is…
4
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a box contains 4 red marbles, 5 white marbles, and 9 blue marbles. if a…
$\frac{1}{2}$
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video lesson 5.5 example 6 - finding a probability using combinations 6…
\(\frac{1}{78}\)
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a box contains 4 red marbles, 5 white marbles, and 9 blue marbles. if a…
If the question is about red marbles, the probability is \(\frac{2}{9}\) (or \(\frac{4}{18}\) before simplifying), if white \(\frac{5}{18}\), if blue \(\frac{1}{2}\) (or \(\frac{9…
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o lesson 5.5 example 5 – using the combinations formula 5. you are list…
560
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video lesson 5.5 example 3 – finding a probability using permutations 4…
\(\frac{1}{210}\)
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video lesson 5.5 example 2 - using a permutations formula 3. eight peop…
336
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question 3 of 7, step 1 of 1 identify the simple linear regression mode…
$\hat{y}=b_0 + b_1x$
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video lesson 5.5 example 1 – counting permutations consider the permuta…
5040 ### Part 2: Arranging 3 of the letters of "PENCILS"
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regression equation: $y = 3.915(1.106)^x$ the pond can hold 400 water l…
The solution method used is Logarithms. To solve \( 400 = 3.915(1.106)^x \), we first divide by 3.915 to get \( \frac{400}{3.915}=(1.106)^x \), then take the natural logarithm of …
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drawing conclusion 15. a group of 40 trees in a forest are not growing …
The probability is \(\frac{1}{10}\) (or \(0.1\))
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paloma used these steps to solve the equation $6x + 5 = 3(2x + 1)$. whi…
No values of \(x\) make the equation true.
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problem solving 7. your dart is equally likely to hit any point inside …
$\frac{9}{20}$
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regression equation: $y = 3.915(1.106)^x$ the pond can hold 400 water l…
46
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events a and b are disjoint. find p(a or b). 3. p(a) = 0.3, p(b) = 0.1 …
\( 0.4 \) ### Problem 6
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an employee at the craft store counted the number of red buttons in eac…
104
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events a and b are disjoint. find p(a or b). 3. p(a) = 0.3, p(b) = 0.1 …
\( 0.4 \) ### Problem 6
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try a few examples to verify that the doubling time is indeed 7 days. d…
Approximately Day 47 (or a value around 46 - 47, depending on the approximation method)
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video lesson 5.4 example 3 - using a formula to find p(a and b) 3. out …
The probability is \(\frac{28}{45}\) (or approximately \(0.622\))
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mr. adagio counted 30 students at last week’s art club meeting. this we…
For the first dropdown (the number part): $0.6$ (or 60% as a decimal, which is 0.6) For the second dropdown (the operation): $\times$ (multiplication) And the expected decrease is…
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mr. adagio counted 30 students at last weeks art club meeting. this wee…
The first dropdown should be filled with " - " (subtract) and the second dropdown should be filled with "last week’s attendance" (or 30, but since it's a general formula, "last we…
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eo lesson 5.4 example 2 - finding the probability of overlapping events…
\(\frac{1}{2}\)
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video lesson 5.4 example 1 – finding the probability of disjoint events…
\(\frac{13}{36}\)
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a radio station will randomly select 1 of 5 playlists, each containing …
B. 0.075
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a number cube with sides labeled 1- 6 is rolled two times, and the sum …
$\frac{1}{18}$
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there are 28 students whose last names begin with the letters g, h, j, …
C. 6
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sort the words according to the meanings of their shared roots. formula…
- Shape or structure: formation, formula, uniform, uniformed - Lead: conduct, conductor
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coupon value number of coupons 10% off 525 20% off 225 30% off 50 which…
D. $\frac{50}{800} \cdot \frac{49}{799} \cdot \frac{48}{798}$
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12. a bookstore manager will randomly select 1 of 5 newly arrived ficti…
A. 5%
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sort the words according to the meanings of their shared roots. extend …
- tell: narrative, narration - stretch or strain: tense, extension, tension, extend
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sort the words according to the meanings of their shared roots. reside …
- Words related to "free": liberty, liberal, liberate. - Words related to "sit or settle": reside, president, residential.
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sort the words according to the meanings of their shared roots. eject i…
- **protect**: preserving, reservation, reserve - **throw**: inject, eject, project
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sort the words according to the meanings of their shared roots. dispose…
- Place or put: dispose, pose, position - See or look at: television, visit, visor
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odeling with mathematics 6. a survey asks 60 teachers and 48 parents wh…
The completed two - way table is as above. The marginal frequencies are: 108 people were surveyed, 60 teachers were surveyed, 48 parents were surveyed, 67 people said yes, and 41 …
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sort the words according to the meanings of their shared roots. manicur…
Under "hand": manicure. Under "shut": closure, close, closet.
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sort the words according to the meanings of their shared roots. sensory…
- stand: stable, statue, stay - feel or think: sensory, sensing, sense
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complete the problems below for independent practice. when you are done…
(Key Fills Summary): ### Problem 3: - Pass - Studied: 34, Pass - Total: 40 - Fail - Studied: 4, Fail - Did Not Study: 6 - Did Not Study - Total: 12 ### Problem 4: - Teacher - Yes:…
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video lesson 5.3 example 4 – finding conditional probabilities a store …
\( \approx 0.482 \) (or \( \frac{27}{56} \approx 0.482 \))
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sort the words according to the meanings of their shared roots. missile…
- **conquer**: *victim*, *victory*, *victor* - **send**: *missile*, *mission*, *missionary*
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5. what is the probability that a randomly selected customer who would …
To solve this probability problem, we typically need a table or data showing the number of customers who want the toy department expanded and their ages (specifically those younge…
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video lesson 5.3 example 4 - finding conditional probabilities a store …
\(\frac{17}{23}\) (or approximately \(0.739\))
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what is the percent of discount of the harmonica rounded to the nearest…
28
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regression equation : y = 3.915(1.106)^x which two equations below coul…
7
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sort the words according to the meanings of their shared roots. serve a…
- serve: service, servant - above or beyond: supercharge, superior, superb, supervisor
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video lesson 5.3 example 3 – finding conditional relative frequencies 3…
The two - way table with conditional relative frequencies based on column totals is: | | Qualified | Did Not Qualify | |----------|-----------|-----------------| | Junior | \(\fra…
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sort the words according to the meanings of their shared roots far away…
- far away: telegraph, telegram, telephone, telescope - do or make: factor, factory
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13. susan made 250 cookies for the bake sale. 30% of the cookies were c…
13. 100 14. 105 15. 30 16. 45
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regression equation : $y = 3.915(1.106)^x$. which two equations below c…
The two equations are \( 7.830 = 3.915(1.106)^D \) and \( 2 = 1.106^D \) (or in the options: the second option \( 7.830 = 3.915(1.106)^D \) and the fourth option \( 2 = 1.106^D \)…
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review the table for a sales receipt. what is the percent of discount o…
\(6.5\)
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sort the words according to the meanings of their shared roots. no or n…
- no or not: negation, negate, negative - ten: decimal, decimeter, decathlon
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video lesson 5.3 example 2 - finding joint and marginal relative freque…
The two - way table with joint and marginal relative frequencies is as follows: | | Qualified | Did Not Qualify | Total | |----------|-----------|-----------------|-------| | Juni…
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review the table for a sales receipt. what is the percent of discount o…
$20\%$
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modeling with exponential and logarithmic equations assignment active i…
- The value 3.915 represents the initial number of water lilies (the population when \( x = 0 \)). - The value 1.106 represents the growth factor (the factor by which the water li…
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sort the words according to the meanings of their shared roots. head to…
- **head**: dental, capitol, captain - **tooth**: dentures, dentist, dentistry
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the receptionist at a doctors office kept track of each patients wait t…
41 - 60 minutes
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video lesson 5.3 example 1 – making a two-way table 1. there are 16 jun…
- \(\boldsymbol{26}\) students qualified. - \(\boldsymbol{14}\) students did not qualify. - \(\boldsymbol{40}\) students are on the debate team.
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you can use a model to represent a percent. this model shows 25%. \perc…
\( 0.25 \)
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at their family reunion, the murray family recorded everyones age. ages…
50
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the advertising agency counted the number of billboards in each city in…
210
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vicky counted the number of ducks at each pond in the city. ducks per p…
3
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attend to precision (see example 6) 21. the table shows the number of s…
a) \(\boldsymbol{\frac{20}{117}}\) (or approximately \(0.171\)) b) \(\boldsymbol{\frac{35}{43}}\) (or approximately \(0.814\))
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12. you play a game that involves drawing two numbers from a hat. there…
$\frac{3}{125}$
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research question two: are there differences in the average feelings of…
One-way ANOVA is appropriate because we compare a continuous dependent variable (feelings of warmth, interval/ratio) across multiple categorical groups (U.S. regions), which align…
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modeling with exponential and logarithm assignment active explore the u…
64 (This is an estimated answer based on assuming exponential growth with doubling per week; the actual answer can vary depending on the assumed growth rate, but this is a reasona…
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abstinence and celibacy are interchangeable terms that have the same me…
False
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interpret (reading graphs) the number of broken tiles in each shipment …
Shipments with 0 - 4 broken tiles have a higher frequency (50 vs. 35 for 10 - 14), so there are more shipments with 0 - 4 broken tiles.
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the architecture student counted the number of bricks in each building …
10
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the inquisitive student counted the number of bricks in each building i…
10
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when you are done, check the solutions with a math teacher or tutor. te…
The events are dependent. Because we do not repeat song choices (without replacement), the outcome of Event A (choosing a hip - hop song first) affects the total number of songs a…
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mr. holland, a track coach, recorded the sizes of all the nearby track …
130
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video lesson 5.2 example 7 – finding a conditional probability 7. at a …
The probability is \(\frac{4}{15}\) (or approximately 26.67%).
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mr. holland, a track coach, recorded the sizes of all the nearby track …
130
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research question two: are there differences in the average feelings of…
The one-way analysis of variance (ANOVA) is the appropriate inferential test to compare average warmth feelings toward liberals across different U.S. geographic regions.
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5/29 pass\tfail defective\t5\t24 non - defective\t208\t9 6. find the pr…
\(\frac{208}{217}\) (or approximately \(0.9585\))