Statistics & Probability
Data analysis, probability distributions, hypothesis testing, and statistical methods.
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7. which expression is equivalent to ( 72xy - 12x^2 + 16x )? *hint: tes…
a. $4x(18y - 3x + 4)$
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what does the phrase threaded into their lives mean? a. existed as an i…
A. existed as an important and meaningful part of their lives
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read this sentence from paragraph 22. the villagers’ words showered dow…
The phrase "threaded into their lives" (likely a typo, intended as "threaded into her life" based on context) means the villagers’ words (stories/experiences) became deeply integr…
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josh has 6 pounds of almonds. he is going to put \\(\\frac{1}{2}\\) pou…
12 bags
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find the product. \\(\\frac{4}{9} \\times 2 = 4 \\times \\frac{2}{9}\\)…
$\frac{8}{9}$
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which expression is equivalent to $\frac{4}{9} \times 2$? $2 \times \fr…
D. $4 \times \frac{2}{9}$
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build a model to show \\(\\frac{4}{9} \\times 2\\).
$\frac{8}{9}$
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find \\(\\frac{4}{6} \\times 12\\). find the product. \\(\\frac{4}{6} \…
8
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logans e - reader sent a notification saying that he has completed 75% …
240
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in the problems below, youre given the part and the percent. can you fi…
70 ### 2. 6 is 15% of what number?
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15 is 5% of what number? 18 is 40% of what number? 24 is 80% of what nu…
s: 1. \( 300 \) 2. \( 45 \) 3. \( 30 \) 4. \( 72 \) 5. \( 25 \) 6. \( 400 \) 7. \( 187.5 \) 8. \( 1250 \) 9. \( 35 \) 10. \( 60 \)
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consider the following inequality: -3z - 2 > 16 step 2 of 2: graph the …
The solution is $z < -6$. On the number line, place an open endpoint at $-6$ and draw an arrow extending left toward $-\infty$.
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-3z - 2 > 16 step 2 of 2: graph the solution to the given inequality. a…
The solution is $z < -6$. On the number line: 1. Place an open endpoint at $-6$ 2. Shade all values to the left of $-6$ (towards $-\infty$) In interval notation: $(-\infty, -6)$
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in the problems below, youve given the part and the percent. can you fi…
\( 70 \) ### 2. \( 6 \) is \( 15\% \) of what number? ## Step 1: Convert percentage to decimal \( 15\% = 0.15 \) ## Step 2: Use the formula \( \text{Whole} = \frac{6}{0.15} = 40 \)
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marcus lives in new york city. he can walk 5 blocks to the recreation c…
15 Completed table: | Blocks | 5 | 15 | |--------|---|----| | Minutes| 10| 30 |
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next year the squad has a new routine. they complete 18 stunts in 15 mi…
5 minutes --- For the relationship question:
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what is the relationship between the number of stunts com practice and …
3
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14. the model below can be used to find the sum of two mixed numbers. w…
Sum: \( 4\frac{2}{5} \) (or \( 4.4 \)), Difference: \( \frac{4}{5} \) (or \( 0.8 \)) Wait, but maybe the mixed numbers are \( 1\frac{8}{10} \) and \( 2\frac{3}{5} \). Let's confir…
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4. all 10th-grade students at a school answered yes or no to the two su…
| | PS4 Player | No PS4 Player | Total | |----------------|------------|---------------|-------| | cell phone | 54 | 22 | 76 | | no cell phone | 20 | 26 | 46 | | Total | 74 | 48 |…
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how long does it take the squad to complete 10 stunts? competition prac…
4 minutes
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the packed backpack, d. weight of gear packed, in pounds (g) 25 30 35 4…
1. $g$ is the independent variable, and $b$ is the dependent variable. 2. The dependent variable is always 4 more than the independent variable.
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ron is packing his backpack with essential gear to travel the appalachi…
1. $g$ is the independent variable, and $b$ is the dependent variable. 2. The dependent variable is always dependent on the independent variable.
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grade students at a school answered yes or no to the two survey questio…
The completed two - way frequency table is: | | Attended Tutoring | No Tutoring | Total | |----------------|-------------------|-------------|-------| | Passing all classes | 130 …
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7. the scatter plot shows the relationship between the time and the wat…
35 ### Part b
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work through each problem with your group. show your work. the table sh…
6. $7.42 \times 10^7$ (scientific notation), 74200000 (standard form) 7. $9.2 \times 10^6$ 8. $3.8 \times 10^7$ 9. $2.99 \times 10^7$
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x | y 0 | 3 3 | 6 15 | 18 17 | 20 y =
$y = x + 3$
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ages the ages of 8 different students in a college math class were used…
B. 8
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relatives ages what is the number of persons over the age of 50 and no …
B. 8
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math test scores if 70 and above is considered a passing grade, how man…
A. 8
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the scatterplot shows the relationship between two variables, x and y. …
D) $y = 9.4 - 0.9x$
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select the correct answer from each drop - down menu. pablo surveyed hi…
1. There were 10 students who watched $\boldsymbol{9}$ (or 13) movies. 2. There were more students who watched 5 to 7 movies than students who watched $\boldsymbol{8-9}$ movies. 3…
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a jar contains 11 red marbles, 12 blue marbles, and 6 white marbles. ma…
The correct reasoning is "Since \(\frac{11}{29}\) of the marbles are red, \(\frac{29}{11}\) draws are expected until a red marble is drawn." (The third option among the given boxe…
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week 14 glow: to emit light and/or light or heat with brim: the edge or…
1. Pernicious: having a harmful effect, especially in a gradual or subtle way. 2. Mellifluous: sweet or musical; pleasant to hear. 3. Ephemeral: lasting for a very short time. 4. …
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12. during a trip, martha drove \\(\\frac{1}{6}\\) of the time, chris d…
$\frac{7}{12}$
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weights of cats (in pounds) the weights of 9 different cats, in pounds,…
A. 7
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13. the table shows the schedule for certain trams at a theme park. bot…
72 minutes ### Question 14 (Craft Depot Visits Problem)
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x | y 5 | 3 14 | 9 15 | 13 20 | 18 y =
$y=x-2$
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work through each problem with your group. show your work. the table sh…
Scientific notation: $7.42 \times 10^7$ Standard form: $74200000$
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x | y 5 | 1 12 | 8 16 | 12 18 | 14 y = (there is also a graph with a pu…
$y=x-4$
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last night, the movie theater sold 142 diet sodas and 58 regular sodas.…
71%
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read the excerpt from the odyssey. then i sent out two picked men and a…
A. The men sent by Odysseus to investigate the land they had landed upon became forgetful after eating Lotus plants.
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x | y 0 | 0 1 | 2 9 | 10 13 | 14 y =
$y = x + 1$
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cooper has $10\\frac{1}{4}$ bags of shredded cheese. each week, cooper …
\(8\frac{11}{14}\) (or \(\frac{123}{14}\))
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a jar contains 11 red marbles, 12 blue marbles, and 6 white marbles. ma…
0.1032
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x | y 5 | 5 11 | 11 13 | 13 18 | 18 y =
$y = x$
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in a certain town, 45% of the voters support a school referendum up for…
0.0125
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respond to each of the following. a. a cookie recipe uses 3 cups of flo…
20 ### Part b
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question 5 of 8 shelby can drive 165 miles in 3 hours. at this speed, h…
C. 220 miles (assuming the time is 4 hours, as the original question seems to have a typo in the end but the option 220 matches with speed 55 mph and time 4 hours)
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geometric random variables 71% of the surface of the earth is covered i…
\( (0.71)^{7}(0.29) \) (the third option)
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select the two correct answers. which are unit rates for the rate \80 m…
A. 2 meters per minute, D. 0.5 minutes per meter
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select the three correct answers. which rates are unit rates? \\(\\frac…
- $\boldsymbol{\frac{\frac{3}{2} \text{ feet}}{1 \text{ minute}}}$ - $\boldsymbol{\frac{35 \text{ miles}}{1 \text{ gallon}}}$ - $\boldsymbol{\frac{\$10.25}{1 \text{ hour}}}$
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select the correct answer from each drop - down menu. lindsey arranges …
### For the first drop - down (the given rate): # Explanation: ## Step1: Identify the given quantities We know that Lindsey uses 48 raspberries for 6 plates. So the given rate is …
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it takes steve 18 minutes to get to work every morning. steve spends 37…
Steve spends 6.66 minutes stuck in traffic.
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question 1 of 8 which statement describes a unit rate? yura creates 14 …
C. Danny fills 4 coffee cups from 1 coffee pot.
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3. juliana spins the spinner two times. she determines the sum of the t…
$\frac{3}{16}$
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length of insects (inches) \\(\\bigstar = 1\\) insect how many insects …
$\frac{3}{4}$ inches
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sarabeth went to the ice cream parlor with her family. each of her fami…
### Ilustración (Ilustración de los helados): Se dibujan 4 cucharadas de helado en cada uno de los 5 conos (un total de 20 cucharadas, distribuidas de 4 en 4 por cono). ### Suma: …
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round to the nearest ten. 759 856 523 685 652 980 155 374 410 253 677
To round a number to the nearest ten, we look at the ones digit. If the ones digit is 5 or greater, we round up (increase the tens digit by 1 and set the ones digit to 0). If the …
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select the correct response from each drop - down menu. a farmer drives…
s (for each drop - down in order): - The given rate is $\boldsymbol{\frac{120 \text{ miles}}{20 \text{ gallons}}}$ (or 120 miles per 20 gallons). - The unit rate is $\boldsymbol{\…
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there are four blood types, and not all are equally likely to be in blo…
No, because it is not looking for the first occurrence of success.
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3. juliana spins the spinner two times. she determines the sum of the t…
$\frac{3}{16}$
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which sign makes the statement true? 50%? \\(\frac{1}{2}\\) > < =
=
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which sign makes the statement true? 0.39? 90% > < =
< (B. <)
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which sign makes the statement true? 64.1%? 82.86% > < =
< B. <
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which sign makes the statement true? 84%? \\(\frac{81}{96}\\) > < =
< $<$
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0.3 compare percents to fractions and decimals jae which sign makes the…
>
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which sign makes the statement true? 0.49? 11\\frac{1}{10}%
>
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which sign makes the statement true? 0.99685? 99.685% > < =
=
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which sign makes the statement true? 34.4%? \\(\frac{11}{32}\\) > < =
$>$
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0.47×10³=4,470÷10—
$0$
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which sign makes the statement true? 54%? 54% > < =
=
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which sign makes the statement true? 98%? \\(\frac{63}{64}\\) > < = sub…
<
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15. find the unit rate. 240 miles in 8 days (a) if your answer is 40 mi…
30 miles/day
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0.3 compare percents to fractions and decimals jae which sign makes the…
>
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which sign makes the statement true? 77.32%? 0.7732 > < =
< $0.7732 < 0.\dot{7}73\dot{2}$ so the correct sign is < >
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which sign makes the statement true? 35%? 0.592 > < =
<
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which statement describes a personal pressure that is commonly associat…
A. Children have parents who smoke
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question 8 the article says: such protests are very different from angr…
B. a sword
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which sign makes the statement true? 70%? 0.087 > < =
>
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b. \\underline{\\quad\\quad} \\times 10^2 = 2,368,041 \\div 100,000 \ e…
b. $0.2368041$ c. The equation is true (both sides equal 447)
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which sign makes the statement true? 0.84? 31% > < =
>
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12. a data set is approximately normally distributed. 12a if a value th…
3.42
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which sign makes the statement true? 32%? 0.32 > < =
=
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which sign makes the statement true? 83%? 90% > < =
<, B. < (assuming the second option is labeled B)
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which sign makes the statement true? 21%? 22.5 > < =
<
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which sign makes the statement true? 25%? \\(\frac{1}{4}\\) > < =
=
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which sign makes the statement true? 55%? \\(\frac{12}{25}\\) > < =
>
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11. the volume of water in a bottle is approximately normally distribut…
-1.2
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11. the volume of water in a bottle is approximately normally distribut…
499.52 mL
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read the problem. at the springfield senior centers bingo night, 20% of…
Correct model: The bottom (blue) bar model Total bingo players: 250
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1. fill in the chart below to write an equivalent representation of the…
| Scientific Notation | Equivalent Repeated Multiplication/Division | Equivalent Whole Number Product/Division | Standard Form | |---------------------------|---------------------…
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10. if yurts z score in a test is 1.6, the mean mark is 80% and standar…
$84.8$
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read the problem. 10% of the students at harris middle school are on th…
300 students Correct model: The top (purple) bar model where 10% aligns with 30.
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read the problem. 75% of the 200 items sold at tech world over a holida…
Correct model: The bottom (purple) bar model Number of televisions: 150 items
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read the problem. carlos got 130 pieces of candy on halloween, and 39 o…
1. Correct model: The top (purple) bar model 2. Final percentage: 30%
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9. neils best time in the half marathon is 139.4 minutes, while his bes…
$z_{full} = 2.5$
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9. neils best time in the half marathon is 139.4 minutes, while his bes…
5.6
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read the problem. at skyler airport, 30% of the scheduled flights are d…
800 scheduled flights Additionally, the correct model is the second (purple) bar graph, where 30% corresponds to 240, and the total (100%) is the unknown value.
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read the problem. paleo museum has 60 dinosaur fossils. 60% of the dino…
1. Correct model: The pink (bottom) bar model 2. Number of herbivore fossils: 36 fossils
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8. harry scored 10.06 in his test, in which the mean was 5.9 and the st…
$z = 4$