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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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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find the ratio of circles to triangles in the diagram below. ratio of c…
2 : 4
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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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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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in the morning, kinsley makes a pot of coffee. the pot fills quickly at…
The bottom-right graph (with steep initial rise, gentle final rise, flat plateau, steep drop, and final flat line)
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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
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kala drove 737 miles in 11 hours. at the same rate, how long would it t…
5
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what quantity of honey would you need to make a half recipe? barbecue s…
$\frac{1}{8}$
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problems 1 - 2: when deven makes chocolate milk, he mixes 2 cups of mil…
1. Yes, it is proportional. All $\frac{\text{tablespoons of syrup}}{\text{cups of milk}}$ ratios equal $\frac{3}{5}$, and (0,0) is included, so the relationship is proportional. 2…
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listed is a series of experiments and associated random variables. in e…
s: (a) Values: 0, 1, 2, ..., 20; Type: discrete (b) Values: 0, 1, 2, ...; Type: discrete (c) Values: 0, 1, 2, ..., 50; Type: discrete (d) Values: \( 0\leq x\leq9 \); Type: continu…
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4) answer the questions below based on the graph. a) what is the consta…
a) 46 b) $y = 46x$ (where $y$ is distance in miles, $x$ is time in hours) c) 828 miles For the inequality $-5x + 10 < -20$: Solution: $x > 6$ Graph description: Draw a number line…
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7. mrs. cross is sewing dresses. she has 18 pink buttons and 20 purple …
2 ### Question 8
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9. an experiment has three steps with six outcomes possible for the fir…
\(192\) ### Question 10
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5. convert each decimal to a fraction in simplest form. 0.9 = 0.45 = 6.…
\( \frac{9}{10} \) #### For \( 0.45 \):
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6. - / 1 points evaluate the combination. c(8,8) 7. - / 1 points in how…
\( 1 \) ### Question 7
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ccss 6th grade math review 10b 1. 0.16 • 0.09 = 2. \\(\\sqrt7{39.2}\\) …
\( 0.0144 \) ### Problem 2: \( \begin{array}{r}7\enclose{longdiv}{39.2}\end{array} \)
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question 15 what is the meaning of the phrase \win - win\ in paragraph …
D. helping everyone who is involved
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2. - / 1 points evaluate the permutation. \\( _7p_4 \\) 3. - / 1 points…
\( 840 \) ### Problem 3: Evaluate \( P(8,8) \)
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6 the table shows a linear pattern. a) predict the value of term 31. ea…
### Part a) Each term is $\boldsymbol{0.2}$ less than the previous term. $31 - 1 = \boldsymbol{30}$ $\boldsymbol{30} \times \boldsymbol{0.2} = \boldsymbol{6}$ $48.4 - \boldsymbol{…
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9. here is a graph of han’s distance from home as he goes home from a s…
- **y-intercept**: $(0, 10)$: When Han begins traveling from the store (at 0 minutes), he is 10 miles from home. - **x-intercept**: $(10, 0)$: After 10 minutes of traveling, Han a…
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michael asked his friends how many hours they watched tv this weekend. …
The least number of hours a student spent watching TV is \(\boldsymbol{2}\) hours. The most number of hours a student spent watching TV is \(\boldsymbol{8}\) hours. \(\boldsymbol{…
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practice: finding the whole (decimal method or fraction method) ** for …
80
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which quote from the story best supports the idea that john learns to b…
The quote "I was building the habit of getting things done." best supports the idea that John learns to be more responsible by taking care of Rex.
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question 13 what is the meaning of \supplement\ in paragraph 3? a. cont…
C. increase
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michael asked his friends how many hours they watched tv this weekend. …
2 ### Second Question: Most hours
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graph the solution to the compound or inequality. 3.2x + 4 ≤ 20 or 3.2x…
On the number line: 1. Place a closed (filled) dot at 5, with an arrow pointing left (towards values less than 5). 2. Place a closed (filled) dot at 15, with an arrow pointing rig…
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the development of a system of mass production in manufacturing meant t…
A. machines rapidly produced large amounts of products.
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at the beginning of spring, kaylee planted a small sunflower in her bac…
The sunflower's height after one week.
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question claires math teacher finds that theres roughly a linear relati…
The change in expected quiz score for every additional one hour students spend on their homework.
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descriptive statistics part 2 of 2 1 2 trying to re - learn: centennial…
Question 1: A. Line A Question 2: D. Line D Question 3: Average, Range Question 4: The data was handwritten, and the person reading the data misread some digits; By mistake, the o…
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zahra is driving on a long road trip. she wrote an equation to represen…
A. The number of gallons in the tank after one hour.
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translate to hug into spanish by filling in the missing letters: _brazar
a (to form "abrazar" which means "to hug" in Spanish)
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benjamins math teacher finds that theres roughly a linear relationship …
The number of hours a student should spend on their homework to expect a score of 98 on the quiz.
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starting at noon, alonso observed the amount of snow on his lawn during…
The \( y \)-value when \( x = 60 \) is the number of inches of snow on Alonso's lawn 60 minutes (1 hour) past noon.
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calculate: savings over time you can use linear functions to represent …
a. $20$ b. The amount Kaia saves each week (20 dollars per week). c. $\$50$ d. $y=20x+50$
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dr. rey wants us to put together some operant conditioning examples. do…
Something is added.
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layla borrowed some money from her friend in order to help buy a new vi…
5
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lavaughn filled up his car with gas before embarking on a road trip acr…
10
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marta believes that the equation of the line of best fit for the scatte…
Marta’s line of best fit has a positive \( y \)-intercept (\( \frac{23}{9} \approx 2.56 \)), but the scatterplot’s data lies predominantly below the \( x \)-axis (or at low \( y \…
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adrian is signing up for a gym membership with a one - time fee to join…
The monthly fee to remain a member is \(\$25\).
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13. ( 2x + 4y = 6 ) 14. ( 5x - 3y + 5 = 2y - 5 ) find the least common …
$x = 3 - 2y$ (or rearranged as $2x + 4y = 6$ simplified to $x + 2y = 3$) --- ### Problem 14:
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three softball players wrote down their batting average: - amy wrote 12…
Amy is the better hitter.
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tyshawn borrowed some money from his friend in order to help buy a new …
8
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25. scott tracks the percent change in the stock market for four weeks.…
$-1.4\%$, $-0.8\%$, $0.09\%$, $0.4\%$ (or corresponding weeks: Week 1, Week 4, Week 3, Week 2)
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for several years, graham has gathered data on students who own a compu…
B. 29 words/min
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6 read the following sentences. \jr wanted to preserve the memories of …
A. keep or remember
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23. miles, karl, laney, and tyrone each walked from their houses to the…
Tyrone ($\frac{7}{8}$ mile), Miles ($\frac{4}{5}$ mile), Karl ($\frac{2}{3}$ mile), Laney ($\frac{1}{2}$ mile)
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2. in wrestling, if the number of wins is five more than double the num…
Losses: 5, Wins: 15
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below are two tables of values for two linear equations. using the tabl…
\((4,12)\) ### Part b:
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1. in football, if a team scores twice as many points in the second hal…
First half: 14 points, Second half: 28 points
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(t) = 9400(0.4)^(t/60) represents the change in a quantity over t minut…
The quantity is decaying exponentially at a rate of 60% every 60 minutes. So the answer for the dropdown (the time unit) is 60 minutes.