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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round.53768 to one decimal place. * .54 .53 .5 .6
.5
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compare a predicted value to an actual value and calculate the percent …
- Predicted value: \( 50 \), Actual value: \( 45 \) - Percent Error: \( \approx 11.11\% \) - Interpretation: A ~11.11% percent error shows the prediction has a moderate deviation …
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divide. write your answer in scientific notation.\\(\\frac{4 \\times 10…
$5 \times 10^{16}$
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2. find \\(\\frac{2}{3}\\) of 18. draw a set and shade to show your thi…
12 (Visual: 18 circles divided into 3 groups of 6, with 2 full groups (12 circles) shaded)
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the number of place settings of dishes varies directly with the number …
4
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two trains leave the station at the same time, one heading east and the…
1.2 hours
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divide. write your answer in scie\\(\\frac{4 \\times 10^{7}}{8 \\times …
$5 \times 10^{16}$
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\\(\\frac{1}{5}\\) of 35 = \\(\\frac{3}{5}\\) of 35 = \\(\\frac{5}{5}\\…
$\frac{1}{5}$ of 35 = 7 $\frac{2}{5}$ of 35 = 14 $\frac{3}{5}$ of 35 = 21 $\frac{4}{5}$ of 35 = 28 $\frac{5}{5}$ of 35 = 35 $\frac{6}{5}$ of 35 = 42
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divide. write your answer in scientific notation. \\(\\frac{4 \\times 1…
$5 \times 10^{16}$
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the scatter plot shows the time spent studying, x, and the midterm scor…
(a) 3.83 (b) 15.68 (c) 61.64
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question 1-8 doubling the sum of rob’s and cheryl’s ages gives 38. if c…
Rob is 9 years old.
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divide. \\frac{2 \\times 10^{10}}{2 \\times 10^0} \\boxed{1 \\times 10^…
$1 \times 10^{10}$
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divide. write your answer in scientific notation.\\(\\frac{9 \\times 10…
$1 \times 10^1$
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the heights of 8th graders are modeled using the normal distribution sh…
Percentage of total area shaded: 99.7% $U = 55.5$ in, $V = 59.1$ in, $W = 62.7$ in
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divide. write your answer in scientific notati \\(\\frac{8 \\times 10^{…
$8 \times 10^{2}$
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divide. \\(\\frac{6 \\times 10^{4}}{6 \\times 10^{3}}\\) \\(8 \\times 1…
\(1\times 10^{1}\)
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suppose that the height (in centimeters) of a candle is a linear functi…
18.4 centimeters
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a group of people played a trivia game. scores in a trivia game which s…
10
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divide.\\( \\frac{6 \\times 10^{5}}{2 \\times 10^{3}}\\) \\(3 \\times 1…
\(3\times10^{2}\) (the option with "3 × 10²")
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allie counted how many letters each employee sent last week. mailing le…
16
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5. the forecast predicts a 40% chance of rain on tuesday and a 60% chan…
The chance that it will rain on both days is \( 24\% \) (or \( 0.24 \) in decimal form).
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some people took photos while visiting the zoo. taking photographs phot…
0
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on a nationwide test taken by high school students, the mean score was …
(a) 68% (b) 8 and 86
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the scatter plot shows the average monthly temperature, x, and a family…
(a) $y = -1.17x + 101.70$ (b) $\$72.45$
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a. write a linear function that shows your friend’s earnings in the num…
To solve this problem, we analyze the earnings - hours relationship for you and your friend. ### Part a: Determine the function for your friend's earnings We are given a table for…
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an art instructor kept track of how many pictures his students painted.…
29
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a teacher counted the number of times that students went down the slide…
14
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mr. powell recorded the scores on a math quiz. scores on the math quiz …
23
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to train for a hike in the mountains, perry is using a stair climbing m…
25 vertical feet per minute (the option corresponding to this is: 25 vertical feet per minute)
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at a school carnival, people spun a wheel numbered from 1 to 6. spinnin…
4
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akira is frosting cookies in her schools colors to sell at the bake sal…
$2\frac{1}{2}$ cookies with green frosting per cookie with white frosting (i.e., the option " $2\frac{1}{2}$ cookies with green frosting per cookie with white frosting")
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solve the following proportion for x. \\(\\frac{x}{11}=\\frac{7}{3}\\) …
$25.7$
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read the excerpt from the negro artist and the racial mountain to these…
A. contradictory
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read the excerpt from \the negro artist and the racial mountain.\ the p…
trend
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(a) a companys stock price stays the same for days. (b) greg drives fro…
(a) The second graph (with horizontal line for stock price). (b) The fourth graph (with decreasing line for distance to home).
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3. the word contaminated means — a. cleaned. b. polluted. c. organized.…
B. polluted
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some students spun a wheel that had numbers from 0 to 5 on it. spinning…
33
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scott owns a pizza shop in chicago. he uses about 8 liters of olive oil…
9
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the extreme bike shop runs dirt bike tours on a nearby trail. mia is ge…
56
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writing linear equations assessment (part 1) determine if the given rel…
NOT LINEAR
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1. in the word microorganisms, what does the prefix “micro-” mean? a. u…
D. Minute
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19. the data below in the table shows the cost of renting a paddle boat…
$c = 5h + 10$
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the readers of a magazine reported how many winter hats they owned. win…
6
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(b) kareem walks from home to school.
The first graph (the one with the line starting at the origin and increasing)
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12. winston won 3 races in 4 weeks. at that rate, how long will it take…
It will take \(\frac{40}{3}\) weeks (or approximately \( 13.33 \) weeks or \( 13\frac{1}{3} \) weeks) to win 10 races.
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drag each tile to the correct box. match the words in bold to their mea…
That leaves a heart high-sorrowful and cloy'd, (excerpt from "Ode on a Grecian Urn" by John Keats) → overly sentimental One shade the more, one ray the less, Had half impaired the…
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name another look! shannon wants to use \\(\\frac{5}{8}\\) of her garde…
$\frac{4}{8}=\frac{1}{8}+\frac{3}{8}$; $\frac{4}{8}=\frac{2}{8}+\frac{2}{8}$ ### Problem 2: $\boldsymbol{\frac{7}{10}}$
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at the zoo, a mother elephant and her calf are playing in the water. th…
40
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10. find the c.o.p. of this table: weeks assignments 1 7 2 14 3 21 4 25
7 (for the proportional part of the table, weeks 1 - 3)
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find the ratio of squares to circles in the diagram below. ratio of squ…
$4:16$
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7. the philadelphia flyers were given two points for each win. is this …
Yes, this is a proportional relationship because the total points \( y \) (dependent variable) and the number of wins \( x \) (independent variable) are related by \( y = 2x \), w…
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ratio of circles to triangles (without simplifying): 2 : 4 just count t…
For every 1 circle there are 2 triangles, therefore the simplified ratio of circles to triangles is 1 : 2.
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latoya is riding her bike. the distance she travels varies directly wit…
\( 0.2 \) (or \( \frac{1}{5} \)) ### Part (b)
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tell whether the following is an example of a proportional relationship…
Not Proportional
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three runners compete in a 100 - meter race. the graph depicts the dist…
Who won the race? A. runner A Did each runner finish the race? Yes
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write the fraction or mixed number as a percent. 7. \\(\frac{3}{4}\\) 8…
\(75\%\) ### Problem 8: Convert \(\frac{23}{40}\) to a percent
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samir and jillian share a phone plan. each month they can use a combine…
7
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1. elijah gets 3% commission for every car he sells. if he sold several…
Elijah's commission would be $1440. ### Problem 3:
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5.5 practice for use after lesson 5.5 use a 10 - by - 10 grid to model …
s: 3. \( \boldsymbol{\frac{11}{20}} \) 4. \( \boldsymbol{1 \frac{2}{5}} \) 5. \( \boldsymbol{\frac{1}{8}} \) 6. \( \boldsymbol{\frac{3}{500}} \)
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12 the weights of four puppies are shown in pounds. 9.5 ( 9\frac{3}{8} …
F. $9\frac{3}{4}$, $9.5$, $9\frac{3}{8}$, $9.125$
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l1: solving systems of linear equations kayla is on level 12 of a new g…
(4, 36)
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samir and jillian share a phone plan. each month they can use a combine…
Samir: 4 GB Jillian: 3 GB Yes, they still have data left to use.
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three runners compete in a 100 - meter race. the graph depicts the dist…
Who won the race? runner A Did each runner finish the race? Yes
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6 a department store is having a year - end clearance where all items a…
D 60%
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lots of people walk their dogs by mrs. coopers store. so, she puts out …
12
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kaylee works in an office building across town. to get to the office in…
The top-right graph (with a starting positive y-value, shallow downward slope, steeper downward slope with multiple flat segments, and final shallow downward slope to 0) is the co…
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graphs of proportional relationships ada math assessment 3 days remaini…
1. Yes, $x$ and $y$ are proportional. 2. constant of proportionality: $13$ 3. cost of 14 tickets: $182$ dollars
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7 carlos walked to school on 14 of the 20 school days in february. whic…
A. 70%
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8. connecting to real life find the profit for recycling 75 pounds of a…
$\$33.75$
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7. the variables x and y are proportional. write an equation that relat…
$y = 24x$
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graphs of proportional relationships ada math assessment 6. \\(\\frac{x…
1. Yes 2. $k=2$ *(Note: Since 2 is not listed in the provided options, but mathematically the constant of proportionality for $x$ relative to $y$ is 2. If considering $y$ relative…
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graphs of proportional relationships ada math assessment part a. interp…
Part B: The unit rate is $\$15$ : $1$ hour(s). The slope of the line is $15$.
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derek is going on a hike with his friends. he brings 8 liters of water …
3
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graphs of proportional relationships ada math assessment part a. interp…
The unit rate is $\boldsymbol{5}$ feet : $\boldsymbol{1}$ second(s). The slope of the line is $\boldsymbol{5}$.
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graphs of proportional relationships ada math assessment part a. interp…
The unit rate is 5 feet : 1 second(s). The slope of the line is 5.
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dale and his grandmother are baking two kinds of homemade bread. they u…
13
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for his birthday, ben got a bubble machine. he was so excited that he p…
4
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name activity 16.1: jumping rope a school held a jump - roping contest.…
1. 75% 2. 120% 3. 45%
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10. joel is $2\\frac{1}{2}$ inches shorter than carlos. carlos is $1\\f…
Joel is $\boldsymbol{57}$ inches tall. ### Problem 12:
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josh is grumpy when he has a cold. he thinks cold medicine tastes awful…
9
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graphs of proportional relationships ada math assessment part a. interp…
(0, 0): The balloon rises 0 feet in 0 second(s). (1, 5): The balloon rises 5 feet in 1 second(s). (6, 30): The balloon rises 30 feet in 6 second(s).
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unit 3, lesson 16 - finding the percentage lets find percentages in gen…
1. False 2. True 3. True 4. True
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5. a shopper needs 48 hot dogs. the store sells identical hot dogs in 2…
The shopper should buy 8 six-packs, as this option costs $16.80 total, which is cheaper than the $18.72 total cost of 6 eight-packs.
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4. the sale price of every item in a store is 85% of its usual price. a…
a. $\$25.50$ b. $\$15.30$ c. $\$21.08$
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3. a bathtub can hold 80 gallons of water. the faucet flows at a rate o…
30%
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review the fifth paragraph. common cents 1 since 1793, the american pen…
The claim that people want to honor a different president on both the penny and the five - dollar bill is not supported by evidence.
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2. at a hardware store, a tool set normally costs $80. during a sale th…
15%
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unit 3, lesson 16 - practice problems 1. a sign in front of a roller co…
a. 85% b. 135%
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the rabbit population in butler county, which is currently at 6,004 rab…
12962 rabbits
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review the fifth paragraph. the connected city 1 today, well more than …
The author does not address the fact that many devices come with data plans that do not require Wi - Fi.
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directions: if the following tables represent a proportional relationsh…
### Problem 7 (Money Earned): 34, 68, 85, 119 ### Problem 8 (Yards): 9, 27, 54, 90 ### Problem 9 (Cost): 1.50, 3.60, 7.20, 9.00 ### Problem 10 (Homes Sold & 2-year total): 14, 35,…
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2 the results of a survey of 60 randomly selected students are listed b…
C. 150 students
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last week marcy and her roommates ate 3 3/4 cartons of yogurt, and this…
\( 1\frac{1}{4} \)
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review the fourth paragraph. the connected city 1 today, well more than…
The author includes a quote from an expert comparing free Wi - Fi to other basic services. (Note: Actually, the relevant sentence is a statement rather than a quote, but among the…
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review the sixth paragraph. eat, drink, shop local 1 buy local campaign…
A. Support for an initiative by a well - known entity does not mean the initiative is justified.
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every day, ariannas orange juice stand uses 1/2 of a bag of oranges. ho…
5
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review the third paragraph. eat, drink, shop local 1 buy local campaign…
It describes a major initiative that supports the main claim.
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multiply: (a) 0.08 × 0.2 = \\square (b) 0.7 × 0.9 = \\square
(a) \(0.016\) (b) \(0.63\)
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wyatt placed an order for 5/8 of a sack of brown lentils and 3/8 of a s…
$\frac{1}{4}$
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every day, the webster pet store uses 2 1/2 bags of dog food to feed th…
3