统计与概率
数据分析、概率分布、假设检验与统计方法。
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the amount of time a certain brand of light bulb lasts is normally dist…
The percentage of light bulbs that last between 1200 hours and 1510 hours is approximately $\boldsymbol{90.9\%}$
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at a certain fast-food restaurant, 59% of customers order a chicken san…
\( 0.75 \)
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the amount of time a certain brand of light bulb lasts is normally dist…
50.0%
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ben and cam are scuba diving. ben is 15 meters below the surface of the…
-11
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answer the questions below. (a) an experiment involves 32 participants.…
(a): \( 201376 \) ### Part (b)
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answer the questions below. (a) from a collection of 50 store customers…
1225 ### Part (b)
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for the following set of data, find the sample standard deviation, to t…
The sample standard deviation, to the nearest hundredth, is approximately \(4.95\) (or to the nearest tenth, \(5.0\)). If we follow the problem's instruction "to the nearest" (ass…
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which of the following is true of one number on its own? it can be misl…
A. It can be misleading.
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for the following set of data, find the population standard deviation, …
$18.745$
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adeline lives in fairbanks, alaska. she recorded the low temperature fo…
$5$
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\\(\\frac{185}{100} + 50\\% + 4\\% = \\square\\) enter the answer as an…
2.39
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find the mean for each data set. age assumed office senator | age richa…
The mean age is approximately \( \boldsymbol{53.64} \) (or \( \frac{590}{11} \) or \( 53\frac{7}{11} \))
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2 numeric 1 point find the mean for each data set. 3 2 2 2 5 5 3 1 2 4 …
The mean of the data set is \(\frac{32}{11} \approx 2.91\) (or as a fraction \(\frac{32}{11}\)).
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the balls numbered 1 and 4 are grey. the balls numbered 2, 3, 5, and 6 …
$\frac{1}{3}$ ### Part (b)
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determine whether the following problem involves a permutation or combi…
The problem involves a \(\boldsymbol{\text{permutation}}\) because the \(\boldsymbol{\text{order}}\) of letters selected \(\boldsymbol{\text{does}}\) matter.
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six balls numbered from 1 to 6 are placed in a bag. some are grey and s…
$\frac{1}{3}$
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what percentage of the shape is pink? write your answer using a percent…
8%
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for a segment of a radio show, a disc jockey can play 6 records. if the…
20160
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use the formula for \\( _np_r \\) to evaluate the following expression.…
\( 60 \)
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determine whether the relation is a function. | input, x | output, y | …
The relation is a function because every input value corresponds to exactly one output value. So the last dropdown should be filled with "exactly one".
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you need to arrange five of your favorite books along a small shelf. ho…
\( 120 \)
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license plates in a particular state display 4 letters followed by 2 nu…
45697600
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a restaurant offers 4 appetizers and 9 main courses. in how many ways c…
36
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use the empirical probability formula to solve the exercise. express th…
D. \( \frac{226}{1004}, 0.225 \)
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the table shows the number, expressed in millions, of citizens who move…
\(0.48\)
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a supersonic jets maximum speed is 6,000 kilometers per hour. it is fly…
4000
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for 30 minutes, vince paddled his kayak across a lake at 83 meters per …
830
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a swimming pool holds 600,000 liters of water. the pool has two drainag…
60 minutes
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there are 810 dishes that need to be rinsed. milan can rinse them in 90…
54
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an aquarium tank can hold 6000 liters of water. there are two pipes tha…
24
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suppose we want to choose 6 colors, without replacement, from 9 distinc…
(a): \( 84 \) ### Part (b)
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use the spinner shown to answer the question. assume that it is equally…
$\frac{1}{2}$
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8 erika wants at least 6 kilograms of apples for a recipe. she picks a …
Erika does not need to pick more apples. (The estimation: rounding each weight to the nearest tenth: 2.6 + 1.2 + 2.8 = 6.6 (or rounding down: 2.5 + 1.1 + 2.7 = 6.3), both ≥ 6, so …
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write \\(\\frac{43}{50}\\) as a decimal.
\(0.86\)
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a 12 - sided die is rolled. the set of equally likely outcomes is {1,2,…
\(\frac{3}{4}\)
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find the first three partial sums of the series. 8 + 32 + 128 + 512 + 2…
\( S_1 = 8 \) \( S_2 = 40 \) \( S_3 = 168 \)
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find the first three partial sums of the series. 26 - 26 + 26 - 26 + 26…
\( S_1 = 26 \) \( S_2 = 0 \) \( S_3 = 26 \)
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find the first three partial sums of the series. -1 + 2 + 5 + 8 + 11 + …
\( S_1=-1 \) \( S_2 = 1 \) \( S_3=6 \)
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rachel drove a tractor across her cornfield. the field was 1,020 meters…
15
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which sales channel has been opened to manufacturers because of digital…
A. Direct - to - Consumer
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find the first three partial sums of the series. 9 + 14 + 19 + 24 + 29 …
\( S_1 = 9 \) \( S_2 = 23 \) \( S_3 = 42 \)
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warren is paddling his kayak across the widest part of lake spollo, whi…
3
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find the first three partial sums of the series. 3 + 4 + 5 + 6 + 7 + 8 …
\( S_1 = 3 \) \( S_2 = 7 \) \( S_3 = 12 \)
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to test whether someone has misinatory perception (msp), choose 1 of 4 …
### Part (a) Explanation: To determine if \( X \) is a binomial random variable, we check the four conditions for a binomial experiment: 1. **Binary?** Each trial (card identifica…
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answer the questions below. note that a change can be an increase or a …
(a) The change in the amount of water in the pool each minute is -6 gallons. (b) The total change in the number of fish in the pond is 45 fish.
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find the first three partial sums of the series. 22 + 22 + 22 + 22 + 22…
\( S_1 = 22 \) \( S_2 = 44 \) \( S_3 = 66 \)
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the first three terms of a sequence are given. write your answer as a d…
26
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answer the questions below. note that a change can be an increase or a …
128 dollars ### Part (b)
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according to the u.s. census bureau, 24% of u.s. residents are under 18…
(a) \( np = 120 \), \( n(1 - p)=380 \) (both are \( \geq5 \), so normal approximation is valid) (b) Mean \( = 120 \), Standard Deviation \( \approx9.55 \) (c) Probability \( \appr…
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answer the questions below. note that a change can be an increase or a …
(a) The change in the train’s elevation each second is \(-5\) meters. (b) The total change in temperature is \(112\) \(^\circ\)C.
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how many minutes are equivalent to 45500 milliseconds? 45,500 ms = ? mi…
# Explanation: ## Step1: Recall unit conversions We know that \(1\) second \( = 1000\) milliseconds and \(1\) minute \( = 60\) seconds. So first, convert milliseconds to seconds,[…
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23 multiple choice 1 point a statistics teacher surveys a random sample…
5 hours (the option "5 hours") ### Question 24 (assuming the question is to find range or some measure, but since the question is not fully provided, if we assume it's about range…
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suppose that the distance a car travels varies directly with the amount…
25
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you want to determine how many minutes are in one day. what choice goes…
60 minutes (the option labeled "60 minutes")
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find the range of the function defined by the set of points below. expr…
\(\{-5, - 3,1,5,7,8,9\}\)
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ng and safety data two-way table scenario the table categorizes drivers…
They prefer not to use navigation systems.
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a company has developed an \entry - shot\ mower that cuts the mowing wi…
\( 0.0128 \) ### Part (b)
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v. math of finance sem a- a g and safety data two-way table scenario th…
30–50
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two-way table scenario the table categorizes drivers into age groups (u…
100
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two-way table scenario the table categorizes drivers into age groups (u…
70%
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two-way table setup scenario: suppose we have a dataset detailing the n…
130
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and safety data zing driving statistics through conditional, marginal, …
SUV
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customs agents claim that the light has probability 0.30 of showing red…
6
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5. what style — dunham’s or graham’s — feels more “relatable” or meanin…
Dunham’s style feels more relatable. Katherine Dunham’s dance style incorporates cultural storytelling, African - diasporic rhythms, and movements rooted in diverse cultural herit…
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central idea to bear or hold up; serve as a foundation for the topic of…
The green box with the text "a term that means the same thing as main idea"
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zing driving statistics from segmented bar graphs to determine possible…
snowy road
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and safety data distribution of mileage efficiencies across different w…
0
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constructing a two-way table using driving data distribution of mileage…
0
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a grocer wants to mix two kinds of coffee. one kind sells for $2.15 per…
number of pounds of coffee that sells for \$2.15: \( 9.00 \) number of pounds of coffee that sells for \$2.45: \( 9.00 \)
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g and safety data structing a two-way table using driving data car mode…
rows labeled by weight categories and columns by city mileage ranges
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(a) find the probability that at most 3 people out of 20 would get a re…
- Probability (first part): \( 0.1070 \) - Expected value (third part): \( 1.85 \) (since \( E(X)=np = 20\times0.0925=1.85 \))
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constructing a two-way table using driving data car models, weights, an…
The third option (light (less than 3,000 lbs), medium (3,000 to 3,500 lbs), heavy (more than 3,500 lbs))
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passengers of travelers pass through the airport in guadalajara, mexico…
\( 0.1072 \) (rounded to 4 decimal places)
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y to solve the problem below. day, chloe spent $3\\frac{1}{4}$ hours at…
The total time Chloe spent is \( 4\frac{11}{12} \) hours.
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christina is randomly choosing three movies to take on vacation from ni…
The second option (The probability that Christina will not choose all action movies can be expressed as $1 - \frac{_9C_3}{_{20}C_3}$)
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passengers of travelers pass through the airport in guadalajara, mexico…
0.0121 No, because the probability of at most 3 people getting a red light is very low (0.0121), which is less than 0.05. So it is more likely that the agents' claimed value of \(…
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brent’s after - school game club has 12 members from which a six - memb…
Brent’s club has more possible team combinations because there are more members to choose from. (Corresponding to the third option: Brent’s club has more possible team combination…
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eight identical slips of paper, each containing one number from one to …
\( A = \{1, 2, 3, 4, 5, 7, 8\} \) (the last option among the given choices)
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7. the table below shows the number of absences and test scores for a g…
### Part a # Explanation: ## Step1: Identify Coordinates Each data point is (number of absences, test score). So the points are (1, 98), (5, 67), (0, 93), (8, 52), (3, 88), (2, 86…
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lola needs to sign 96 invitations. using a stopwatch that measures time…
508.8 seconds
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part 3 - plot structure vocabulary - 5pts on test item | meaning exposi…
### Vocabulary Table (Term → Meaning): - Exposition: Introduction of setting, characters, and basic situation. - Rising Action: Series of events that build tension/conflict leadin…
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3-124. (from lessons 3.1.1 and 3.1.3) do you remember malcolm from prob…
Malcolm is learning fewer words per day. The mean number of words he learns per day is \(7.5\), which is less than \(9.21\). ### Part b
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when a polling company calls a telephone number at random, there is onl…
(a) The mean of \( X \) is \( 1.35 \). (b) The standard deviation of \( X \) is approximately \( 1.11 \).
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1 multiple choice 2 points which of the following statements are true? …
I only
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shandra has a loyalty card good for a 1% discount at her local pharmacy…
0.99c
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plications of probability and a spinner is divided into eight equal - s…
The three correct answers are: - \( S = \{1, 2, 3, 4, 5, 6, 7, 8\} \) - If \( A \) is a subset of \( S \), \( A \) could be \( \{1, 2, 3\} \) - If a subset \( A \) represents the …
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the value of x is decreased by 31%. which expression represents this si…
\( 0.69x \) (corresponding to the option "0.69x")
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evaluate the expression. \\frac{9!}{3!} 60,480 3 362,874 6
\(60480\) (which corresponds to the first option "60,480")
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jillian has three different bracelets (x, y, and z) to give to her frie…
2 (corresponding to the option with value 2)
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a bag contains ten balls labeled 1 through 10. one ball will be randoml…
$\frac{1}{2}$
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at a grocery store, blueberries come packaged in 8-ounce containers for…
Blueberries are $0.80 per pound less expensive at the farmer’s market. (The first option)
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jose and maris work as sales people for different car dealerships. jose…
A. Both persons will earn a monthly salary of $5,000 for $25,000 in sales.
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question 12 18 inches = ____ centimeters 1 pts
45.72
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in november of 1956, the u.s. supreme court decided that it was illegal…
important
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socratic seminar prep at the end of the novel, it is revealed that beat…
### My answer (aim for 3 - 6 sentences) Beatty is a hypocrite because he reads the novels he claims to destroy, as his deep literary references and insights reveal. He likely had …
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a box contains ten cards labeled j, k, l, m, n, o, p, q, r, and s. one …
$\frac{2}{5}$
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instead, many carpooled, biked, or even walked for hours to and from wo…
C. strength
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an online spinner has 2 colored regions—blue and yellow. according to t…
9.6
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a random number generator is used to create a list of 300 single-digit …
0.44
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4. part a: what does the word \concentrate\ most closely mean as it is …
B. gather