Statistics & Probability
Data analysis, probability distributions, hypothesis testing, and statistical methods.
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question 10 of 10 what aesthetic impact is the description of the narra…
D. It creates a feeling of curiosity and wonder.
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a simple random sample is drawn from a normally distributed population,…
A. $18.7 \pm 5.9$
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a simple random sample is drawn from a normally distributed population.…
\(\mu\) (assuming the options are \( n \) (sample size), \(\bar{x}\) (sample mean), \( s \) (sample standard deviation), and \(\mu\) (population mean))
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which of the following z-values, standard deviations, and sample sizes …
\( z = 2.14; s = 4; n = 81 \) (the second option)
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which of the following z - values, standard deviations, and sample size…
B. \( z = 2.24, s = 4, n = 81 \)
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a simple random sample of 30 is chosen from a normally distributed popu…
A. 1.3875 to 1.7125
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the times it took for 35 loggerhead sea turtle eggs to hatch in a simpl…
0.66
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which of the following conditions must be met in order to make a statis…
C. \( n\geq30 \)
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a box has three cards numbered 1, 2, and 3. a bag has three balls label…
Sample space: \(\{1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C\}\) Event that the letter chosen is B: \(\{1B, 2B, 3B\}\)
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a box has three cards numbered 1, 2, and 3. a bag has three balls label…
Sample space: {1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C} ### Event that the letter chosen is B
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a box has four cards numbered 1, 2, 3, and 4. ivanna will toss a coin o…
Sample space: {H1, H2, H3, H4, T1, T2, T3, T4} Event that the coin toss is heads: {H1, H2, H3, H4}
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the dimensions of a blackboard are $\frac{9}{10}$ of a meter by $\frac{…
B. 16 square meters per square inch
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steve drove at a constant rate to the beach for a vacation. in the equa…
D. 69 miles per hour
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sandra bought 5 pounds of sweet potatoes for $7.00. what is the cost pe…
A. $\$1.40$
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the diagram shows the relationship between the number of lemons and ora…
C. 2.5 oranges per lemon
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richard can read \\(\\frac{1}{4}\\) of a book in \\(\\frac{3}{5}\\) of …
C. $\frac{5}{12}$ of a book
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directions: type the correct answer in each box. use numerals instead o…
0.73 1.03 1.17 1.52
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4) | x | y | |----|----| | 1 | 9 | | 3 | -4 | | 7 | 1 | | 11 | 6 | | 15…
No ### Part b
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16. convert \\(\\frac{1}{8}\\) to a decimal and a percent.
Decimal: $0.125$, Percent: $12.5\%$
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12. complete the table of equivalent ratios. | columbia | 40 | | 25 | 1…
|Columbia|40|60|25|15| |---|---|---|---|---| |North Face|32|48|20|12|
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11. the ratio of goblins to wizards was 7 to 3. if there were 105 wizar…
245
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9. daisy grew 3 inches in 2 years. at that rate, how many years would i…
$\frac{14}{3}$ or approximately $4.67$ years
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8. at 12-ounce jar of salsa costs $2.52. find the unit cost per ounce.
The unit cost per ounce is $\$0.21$.
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3) | x | y | | -10 | 9 | | -5 | 4 | | 0 | 2 | | 5 | 0 | | 10 | -3 | a. …
a. No #### Part b
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4. find the c.o.p. of this table; | x | y | | 0 | 0 | | 2 | 17 | | 4 | …
$8.5$ or $\frac{17}{2}$
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1. graph this relationship. is this proportional? minutes | dollars 1 |…
This relationship is **not proportional**, as the ratios of dollars to minutes are not equal and the line does not pass through the origin of the graph.
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12. complete the table of equivalent ratios. turkeys | 10 | | 35 | deer…
|Turkeys |10 |15 |35 |70| |---|---|---|---|---| |Deer |12 |18 |42 |84|
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9. bart ate 20 onion rings in 3 minutes. at that rate, how long would i…
$\frac{81}{20} = 4.05$ minutes, or 4 minutes and 3 seconds
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8. at 15-ounce jar of pasta sauce costs $3.45. find the unit cost per o…
The unit cost is $\$0.23$ per ounce.
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a principal of $2100 is invested at 7.25% interest, compounded annually…
3674
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5. does the graph show a proportional relationship? if so, find the con…
This graph does not represent a proportional relationship.
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if the rate of inflation is 2.6% per year, the future price ( p(t) ) (i…
Current price: \$2000 Price in 10 years: \$2588
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4. find the c.o.p. of this table: | x | y | |----|----| | 2 | 7 | | 4 |…
$\frac{7}{2}$ or $3.5$
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said the word zei-dl-bie, \frightful.\ it was the one word with which s…
B. It makes the myth concrete by revealing the power that people place on words.
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question 5 of 20 which closing sentences to a story best show a charact…
D. I realized that I had to make choices that fulfill my inner needs.
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complete the statement that describes the situation. the pond was 64°f …
increased 1°F every 2 days
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text-dependent questions directions: for the following questions, choos…
To answer these text - dependent questions, we need to analyze the short story "A Present for Mrs. Robertson" (though the full text isn't fully visible, we can use common strategi…
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5. the length of time, in hours, it takes a train to travel to city b v…
5.6 hours
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what is the percent of decrease from 80 to 56? write your answer using …
30%
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what is the percent of increase from 5 to 7? write your answer using a …
40%
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what is the percent of increase from 50 to 97? write your answer using …
94%
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what is the percent of change from 8 to 2? 300% decrease 300% increase …
75% decrease (the option: 75% decrease)
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you can make dried cucumbers through the process of dehydration, which …
The percent decrease in weight is \( 96\% \).
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read the following excerpt. colonies attached to the mother - country a…
A. Possession of colonies around the world is important to ensure a country’s prosperity
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problem 9 part b: spiral review for each equation, decide whether it ma…
- \( y = 1.\overline{3}x \): Diagram B - \( y = 0.75x \): Diagram A - \( y = 1.25x \): Diagram B
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problem 9 part a: spiral review for each description, decide whether it…
s: 1. An increase by 25%: Diagram B 2. A decrease by 25%: Diagram A 3. \( y = 1.\overline{6}x \): Neither (Note: For each sub-question, the answer is as follows. If the problem ex…
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what is the percent of change from 40 to 44? 10% decrease 1% decrease 1…
10% Increase
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what is the percent of change from 50 to 13? 74% decrease 74% increase …
74% decrease
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what is the percent of change from 2 to 3? 50% increase 50% decrease 54…
50% increase
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problem 6 part b here is the table from the previous screen. how many d…
8
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what is the percent of change from 100 to 48? 34% increase, 52% decreas…
52% decrease (the option with "52% decrease")
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susan weighed two buckets of sand for a geology project. the first buck…
\( 38.58 \)
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mrs. matthews buys deli meat for her kids lunches every week. this week…
15
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a cheese maker made 775.46 ounces of cheddar cheese and 60.8 ounces of …
836.26
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danny bought 7 pounds of fruit for a class party. the class ate 0.92 po…
6.08
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joes grandma is making him a costume for a play. she has 5.25 yards of …
7
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peters favorite lunch is a turkey sandwich with carrot sticks. last wee…
0.24
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marcos sister is driving home from college. along the way, she drives a…
the interstate highway ### Part 2: How far can Marco’s sister drive on that highway (interstate) in 3 hours?
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a bakery ordered 75.8 pounds of brown sugar. the next week, the bakery …
66.4
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bryants company bought 29.24 pounds of wood and 6.4 pounds of brick. ho…
35.64
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denise is going on a road trip with some friends. for the first leg of …
160
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tracy has $80,000 in a savings account. the interest rate is 2% per yea…
\( 81600 \)
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rhianna has $90,000 in a savings account. the interest rate is 2% per y…
7200
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troy has $80,000 in a savings account. the interest rate is 9% per year…
94400
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here are your responses to problem 2: \\(\\frac{9}{25} = 0.36\\) \\(\\f…
- **Same**: The first two decimal digits (the non - repeating initial part) of all three decimals are "36". - **Different**: $\boldsymbol{\frac{9}{25}=0.36}$ is a terminating deci…
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problem 2 what is \\(\\frac{9}{25}\\) written as a decimal? 0.36 \\quad…
0.36 ### Second Sub - Question: What is $\frac{4}{11}$ written as a decimal?
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part ii : a correct answer for question 18 will receive 4 credits. clea…
### Question 18 (System of Equations for Coins) #### Step 1: Define Variables and Set Up Equations Let \( n \) = number of nickels, \( d \) = number of dimes. - Total coins: \( n …
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problem 10: spiral review which is greater? 40% of 12 12% of 40 they ar…
They are the same
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spiral review angel checks out 12 library books, and shikoba checks out…
8
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this table shows a relationship between x and y. | x | y | |----|----| …
$y = 6x^{2}-16x + 18$ Wait, but maybe there is a simpler pattern. Wait, let's check again. Wait, when $x = 1$, $y = 8$; $x = 2$, $y = 10$ (8 + 2); $x = 3$, $y = 24$ (10+14). The d…
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this table shows a proportional relationship between x and y. x | y 1 |…
8
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a snail is moving away from a rock at a constant rate. this table shows…
\(d=\frac{3}{4}t\), \(t=\frac{4}{3}d\)
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a snail is moving away from a rock at a constant rate. this table shows…
\(6\frac{3}{4}\) inches (or \(\frac{27}{4}\) inches)
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problem 1 a snail is moving away from a rock at a constant rate. this t…
12
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question 16 (5 points) a students computer system can be purchased for …
The cost of the computer system 4 years ago was \(\$3000\).
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2.0% of what is 21? use the proportion method. 1050 0.01050 210 105.0 q…
1050
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which equation below can be used to solve the percent problem using the…
\( \boldsymbol{\frac{50}{100}=\frac{30}{m}} \) (the third option: \( 50/100 = 30/m \)) ### Second Question (700 is what percent of 50?):
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find 12.8% of 600. 7.68 76.8 0.768 768 question 6 (2.5 points) what is …
76.8 (corresponding to the option "76.8") ### Second Question: What is 0.25% of 2000?
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to change a fraction to a percent, multiply the fraction by ______. 1 1…
100 (the option with "100") ### Second Question (9% of 100):
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write the decimal as a percent: 0.7 7% 700% 70% 0.07% question 2 (2.5 p…
C. 70% ### Question 2: Write the percent as a decimal: 36%
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use the proportion method to solve the following: 750 is what percent o…
1500% ### Second Question: What percent of 25 is 4?
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what is 0.25% of 3000? ○ 7.5 ○ 75 ○ 750 ○ 0.75 question 6 (1 point) 0.0…
7.5 ### Second Question: 0.075% of 625 is what?
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write the decimal as a percent: 0.8 80% 800% 0.08% 8% question 4 (1 poi…
A. 80% ### Second Question (Find 12.8% of 625)
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question 1 (2.5 points) percent means parts of ______. ○ a percent sign…
C. 100 ### Question 2
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problem 3 redo - part b 14.5 miles in \\(\\frac{1}{3}\\) hour do not in…
\( 43.5 \)
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problem 3 redo - part c \\frac{180}{4} miles in \\frac{3}{4} hour do no…
60
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find 80% of 150 using proportions. 120 80 200 130 question 9 (2 points)…
A. 120
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a car is traveling at a constant speed. find the number of miles the ca…
50
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compare rate of change, proportional rep question two friends, luke and…
\( 9.8 \)
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find 5.7% of 160. 28 9 91.2 9.12 question 6 (2 points) watch the follow…
9.12 (corresponding to the option "9.12")
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lincoln was comparing the price of cranberry juice at two stores. linco…
$\$0.41$
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investments involving regular payments (tvm solver) worksheet name: cla…
To solve these problems, we use the Time - Value of Money (TVM) formulas. The two main types of TVM problems here are for compound interest (with or without regular payments) and …
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18. find the value of one unit of the bar model. * 70 your answer 19. w…
10 ### Question 19
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17. find the value of one unit of the bar model. * 35 your answer
7
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proportional reasoning (fractions and dec question a satellite flies 11…
34750 miles
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proportional reasoning (fractions and dec\ question\ the table below sh…
7.9
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the rectangle below is labeled with its measured dimensions. taking mea…
6.4%
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write the phrase as a rate in simplest form: 6 pounds of meat for 8 peo…
3 to 4 (corresponding to the option "3 to 4") ### Second Question (Write "3750 words on 15 pages" as a unit rate)
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question 8 (2.5 points) write the comparison as a ratio in simplest for…
$\frac{2}{1}$ (Corresponding to the option: $\boldsymbol{\frac{2}{1}}$)
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write the comparison 27 dollars to 81 dollars as a ratio in simplest fo…
$\frac{1}{3}$ (corresponding to the option with $\frac{1}{3}$)