Statistics & Probability
Data analysis, probability distributions, hypothesis testing, and statistical methods.
-
fred walks home from school every day. today, on his way home, he stops…
The graph on the right (starting at a high y-value, decreasing linearly, flat for a segment, then decreasing linearly to 0)
-
haley used 0.6 kilograms of raisins to make 52 bags of trail mix. to th…
0.01
-
pam is letting her hair grow long. it grows quickly at first, but after…
The left graph (the one with the sudden drop after the growth phase)
-
Question was provided via image upload.
a. 108 b. 160 c. 141.25 d. 330 e. 637.5 f. 400 g. 680 h. 212.5 i. 125 j. 150 k. 478.75 l. 235
-
a train traveled at the same speed for 78 hours. it went 3,812.01 miles…
48.87
-
a scientist collected 73 water samples from local streams. each sample …
$0.03$
-
for a new neighborhood, 5.2 acres of land will be split into 48 lots. t…
0.11
-
practice 1 on saturday and sunday, jarrod went running and burned a tot…
Addition equation: $320 + x = 647.5$ Calories burned Sunday: $327.5$
-
bliss by katherine mansfield (adapted excerpt) \bliss\ is the story of …
(30) "Now I've got you to myself, my little precious," said Bertha, as the baby leaned against her.
-
mandy made 4 trips to visit her grandmother. she drove 391.99 miles in …
98.00
-
question round 7.69 to the nearest whole number. answer attempt 1 out o…
8
-
camilas quinceañera is coming soon! as the rsvps arrive, she tracks the…
The graph on the right (starting low, increasing slowly then steeply)
-
(a) let x be the unknown number of pounds. using the values below, crea…
### Part (a) Proportion: $\boldsymbol{\frac{x}{136} = \frac{2.2}{1}}$ (or $\frac{1}{2.2} = \frac{136}{x}$) ### Part (b) Weight in pounds: $\boldsymbol{299.2}$ pounds
-
a construction company transported 2 stones that weighed a total of 7.2…
3.6
-
ethans taffy shop made 95.9 kilograms of taffy in 8 days. to the neares…
$12.0$
-
22. represent real - world problems a poll of likely voters shows that …
The incumbent's actual vote share is expected to be between 48% and 54% of the vote. --- ### For Question 23:
-
emily lives in a third - floor apartment. this morning, she walks downs…
The first graph (the one on the left)
-
find the range of the function defined by the table below. express your…
$\{-10, -7, -5, -4, 0, 5, 7\}$
-
which number is written correctly in scientific notation? 25.6 × 10¹² 3…
C. $5.03 \times 10^{11}$
-
add. \\frac{-3}{10} + -6.5 = submit
-6.8
-
the table below shows the total amount spent, in billions of dollars, o…
The average rate of change is approximately \( 2.5 \) billion dollars per year.
-
2. what number must you add to 1 p.m. to change it to 24 - hour clock n…
The number to add is 12. Three other times: 2 p.m., 3 p.m., 4 p.m. (answers may vary, any p.m. times except 12 p.m. are correct) ### Question 3
-
robin can clean 72 rooms in 6 days. how many rooms can robin clean in 9…
108 rooms
-
4. find out how much time has elapsed between ... a) 9:40 and 12:10. ti…
2 hours 30 minutes ### Part 4b
-
2. what does the word conspicuous mean as it is used in the excerpt abo…
d. Attracting attention
-
8. $2\\frac{2}{3}\\cdot\\frac{5}{6}=\\underline{\\quad\\quad}$ 9. $\\fr…
\(2\frac{2}{9}\) ### Problem 9
-
part a what does transient mean as it is used in the paragraph? a. perm…
d. Not lasting
-
7. in the lunchroom, 16 $5^{th}$ graders and 24 $6^{th}$ graders are si…
8 ### Question 8
-
unit test elmer has a collection of 300 fossils. of those, 21% are foss…
63 fossilized snail shells
-
read the problem. 40% of the treats in a bag of bark bites are peanut b…
Correct model: The bottom (blue) bar graph with 12 at 40% and? at 100% Total number of treats: 30
-
3. find how much time has passed between the times in bold (intervals a…
(part a and b): a) Time elapsed: 2 hours 25 minutes (or 2h25m) b) Time elapsed: 4 hours 40 minutes (or 4h40m) Wait, but the original problem's part a) has a partially filled answe…
-
read the problem. mr. erwin has 70 books in his classroom library, and …
Correct model: The bottom bar model (split into two equal sections, with 35 at the midpoint) Percent of non-fiction books: $50\%$
-
review the passage. the hyperbole is shown in bold. in a time without f…
It implies that composers were held in high regard.
-
review the passage. the hyperbole is shown in bold. int. tree house - n…
It shows Ham is annoyed with his friend.
-
toni is testing her new model airplane. she starts its descent at an el…
6
-
descriptive statistics classification of variables for each part below,…
(a) Categorical (b) Quantitative (c) Quantitative (d) Quantitative
-
select the correct answer from the drop - down menu. in the passage, ch…
everyone in the United States already referred to the mountain by its Native American name.
-
3. find how much time has passed between the times in bold (intervals a…
2 hours and 25 minutes (or 145 minutes)
-
review the passage. the personification is shown in bold. little waterf…
It creates a peaceful atmosphere.
-
ccss 6 grade math review 10c 1. 4.7 · 0.004 = 2. \\overline{\\smash{4\\…
\(0.0188\) ### Problem 2:
-
which of the following numbers are in set a? check all that apply. a = …
1. \( 1 \) 2. \( 3 \) 3. \( 5 \)
-
example 1: what does the word ignominious mean in the above excerpt? a.…
C. Humiliating
-
d how much time has passed between the times in bold (interv
The total time passed between \(1:40\) and \(4:05\) is \(2\) hours and \(25\) minutes (or \(145\) minutes).
-
initial knowledge check question 25 the workers union at a particular u…
0.170
-
review the passage. the verbal irony is shown in bold. grandson: a book…
B. It highlights the grandson's lack of enthusiasm.
-
grade 6: module 2: unit 2: lesson 3 3. carefully read these two sentenc…
The connotation of "gang" (versus "group") makes the chickens seem more lively, energetic, or spirited (in a playful/unruly - but harmless - way). It adds a sense of dynamism to t…
-
directions: read the following excerpt from chapter 12 of the boy who h…
B. group ### Question 2
-
common core standard—5.nbt.2 understand the place value system. 3. $10^…
### Problem 3: $10^0 \times 0.23 = 0.23$ $10^1 \times 0.23 = 2.3$ $10^2 \times 0.23 = 23$ $10^3 \times 0.23 = 230$ ### Problem 6: $1 \times 9,670 = 9,670$ $0.1 \times 9,670 = 967.…
-
2. what is similar about your answers to the previous question? what is…
The fraction $\frac{22}{7}$ as a decimal is approximately $3.142857$. This approximation is greater than $3.14$ because $3.142857$ has a non - zero digit in the thousandths place …
-
let ( x ) be a random variable with the following probability distribut…
(a) $E(X) = 3.3$ (b) $Var(X) = 1.11$
-
mixed knowledge check question 23 suppose that the new england colonial…
(a) 15 (b) 2.739
-
question zendaya takes a trip to an amusement park and rides a ferris w…
The midline is \( y = 135 \) and it represents the height of the center of the Ferris wheel above the ground (or the average height of the car on the Ferris wheel over time).
-
a box has 10 candies: 3 are peppermint, 2 are butterscotch, and 5 are t…
0.143
-
cameron is going on a hike on a nature trail. he starts at the trail he…
| Time since start of hike (min) | Distance traveled (ft) | |--------------------------------|------------------------| | 0 | 0 | | 1 | 150 | | 2 | 300 | | 3 | 450 | | 4 | 600 |
-
a box has 19 candies in it: 2 are peppermint, 7 are butterscotch, and 1…
0.205
-
4 1 pound _______ ounces 5 8 pounds _______ ounces 6 $8\\frac{1}{2}$ po…
16 ### Problem 5: 8 pounds to ounces
-
the hot air balloon starts descending from an elevation of 2,400 feet. …
$(6, 0)$
-
review the passage. the personification is shown in bold. \aline!\ alin…
It sets a joyful tone.
-
initial knowledge check question 21 an ordinary (fair) coin is tossed 3…
| Value $x$ of $X$ | $-4$ | $-2$ | $0$ | $2$ | |-------------------|------|------|-----|-----| | $P(X=x)$ | $\frac{1}{8}$ | $\frac{3}{8}$ | $\frac{3}{8}$ | $\frac{1}{8}$ |
-
lesson check (5.nbt.2) 1. the length of the titanic was 882 feet. porte…
8.82 feet
-
thelma approximates the area of circles using the equation ( a = 3r^2 )…
The relation is a function because each x - value corresponds to exactly one y - value. So the answer for the dropdown is "each x - value".
-
the hot air balloon starts descending from an elevation of 2,400 feet. …
$-400$
-
write <, >, or = to make the statement true. 136,284 ○ 134,284
\(136.284>134.284\)
-
rita is playing a game of chance in which she tosses a dart into a rota…
(a) $\boldsymbol{1.5}$ dollars (b) Rita can expect to gain money. She can expect to win $\boldsymbol{1.5}$ dollars per toss.
-
5. write a situation to match the graph 6. use patterns and structure a…
D. Biking Trip (graph with distance starting at 0, increasing to ~2.25, flat, then increasing) ### Question 7a Sketch (Description):
-
rita is playing a game of chance in which she tosses a dart into a rota…
(a) $\boldsymbol{1.5}$ (b) Rita can expect to gain money. She can expect to win $\boldsymbol{1.5}$ dollars per toss.
-
initial knowledge check question 18 suppose z follows the standard norm…
(a) $0.206$ (b) $0.268$ (c) $0.672$
-
here is a table showing all 52 cards in a standard deck. suppose a card…
0.0089
-
the hot air balloon starts descending from an elevation of 2,400 feet. …
| Time since balloon started to descend (min) | Elevation (ft) | |---------------------------------------------|----------------| | 0 | 2,400 | | 1 | 2,000 | | 2 | 1,600 | | 3 | 1…
-
activity the graph shows how many cups of water are needed for each cup…
\((0, 0)\) and \((10, 7)\) (other valid points like \((0,0)\) and \((5, 3.5)\) or \((2, 1.4)\) can also be used, but \((0,0)\) and \((10,7)\) are clear from the graph's scale). ##…
-
once the hot air balloon reaches cruising altitude, it flies at an elev…
\(e = \boldsymbol{2400} + 0t\) The blank should be filled with 2400.
-
once the hot air balloon reaches its cruising altitude, it flies at an …
The balloon reached its cruising altitude at an elevation of 2,400 feet.
-
three friends are selling items at a bake sale. may makes $23.25 sellin…
- May: $\$23.25$ - Inez: $\$2325$ - Carolyn: $\$232.50$
-
once the hot air balloon reaches its cruising altitude, it flies at an …
2400
-
what does the underlined word mean in the following sentence? no quiero…
B. to sleep
-
what does the underlined word mean in the following sentence? necesito …
A. to translate
-
what does the underlined word mean in the following sentence? no puedo …
D. to believe
-
what does the underlined word mean in the following sentence? puedo con…
B. to count
-
once the hot air balloon reaches its cruising altitude, it flies at an …
The balloon's elevation does not increase or decrease.
-
what does the underlined word mean in the following sentence? necesitas…
C. to close
-
once the hot air balloon reaches its cruising altitude, it flies at an …
flat
-
on each table, lola displayed 14 crafts. if she had 8 tables, how many …
112
-
once the hot air balloon reaches its cruising altitude, it flies at an …
| Time since reaching cruising altitude (min) | Elevation (ft) | |--------------------------------------------|----------------| | 0 | 2,400 | | 1 | 2,400 | | 2 | 2,400 | | 3 | 2,…
-
question 1: the parking lot holds 176 cars. a) 26 cars leave the lot. c…
Question 1: a) $N = 176 - 26$ b) $N = 176 - C$ c) $N = 176 - C$ Question 2: a) $P = \frac{100}{5}$ b) $P = \frac{100}{H}$ c) $P = 100 / H$
-
select all the correct locations on the graph. oliver is riding his bik…
The correct points are (0, 0) and (2, 1760) (and also (4, 3520) etc., but the key pair based on the 2 - minute interval and 1760 - foot distance is (0, 0) and (2, 1760)). So on th…
-
so eden sank to grief, so dawn goes down to day nothing gold can stay. …
B. by emphasizing that paradise and perfection are always short-lived
-
round 608.897 to the nearest ten.
610
-
15 what is the main idea of this passage? a winning athletes have alway…
B. Mental imaging can be used to enhance one’s athletic performance. ### Question 16
-
streak now! your dedication is blazing! 1 week streak level you might t…
B. complete
-
right after takeoff, a hot air balloon ascends at a constant rate of 40…
0
-
right after takeoff, a hot air balloon ascends at a constant rate of 40…
The balloon's elevation increases 400 feet every minute.
-
in exercises 19 and 20, the table represents an exponential function. g…
### Problem 19: # Explanation: ## Step 1: Identify the exponential function form The general form of an exponential function is \( y = ab^x \). We can use the given points to find…
-
there are 350 families who own pets in the lincoln valley neighborhood.…
Double number line: - Top (percentage): 0, 70, 100 - Bottom (families): 0, 350, 500 Total number of families in the neighborhood: 500
-
independent practice compare the increasing and decreasing linear funct…
- Rate of change of cold beverages: \(-750\) cups per month (decreasing at 750 cups per month). - Rate of change of hot beverages: \(900\) cups per month (increasing at 900 cups p…
-
using a double number line to find the part or the whole in a percentag…
Double number line: - Top (percentage axis): Mark $0$ and $15\%$ - Bottom (student count axis): Mark $0$ and $36$ The number of students who play instruments is $\boldsymbol{36}$
-
initial knowledge check question 16 several years ago, the state of cal…
To construct the box-and-whisker plot: 1. Draw whiskers from the minimum value **26** to the maximum value **53** 2. Draw a box from the first quartile **32** to the third quartil…
-
on the grasshopper and cricket by john keats from the poetical works of…
B. weak
-
initial knowledge check question 15 the batteries from a certain manufa…
(a) 95% (b) 650 hours and 1070 hours
-
there were 49 true/false questions on an exam. this was 35% of the tota…
Double number line: - Top line (percentage): 0 $ ightarrow$ 35% $ ightarrow$ 100% - Bottom line (number of questions): 0 $ ightarrow$ 49 $ ightarrow$ 140 Total number of questions…
-
5 read the sentence from lines 74 and 75. when he revised the tales for…
D. increased ### Question 6