12. Table 2.2 shows the frequency of marks obtained by some students in a scholarship examination.
Table 2.2
\begin{tabular}{|l|c|c|c|c|c|c|}
\hline Mark & 1−10 & 11−20 & 21−30 & 31−40 & 41−50 & 51−60 \\
\hline Frequency & 3 & 5 & 11 & 14 & 10 & 7 \\
\hline
\end{tabular}
(a) Construct a cumulative frequency table and hence draw an ogive for the data.
(b) From the ogive, estimate the:
(i) Lower and upper quartiles
(ii) Median
(c) A three-digit number is formed at random using the digits 1,6 and 9. If no digit is repeated in any of the numbers, find the probability that the number formed is greater than 600 .
(12 marks)
The histogram shows the number of miles that each adult, from a survey of 67 adults, drives per week. How many adults drive fewer than 200 miles per week? There are □ adults who drive fewer than 200 miles per week.
Holden Corporation produces three products, with costs and selling prices as follows:
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline & \multicolumn{2}{|l|}{Product A} & \multicolumn{2}{|l|}{Product B} & \multicolumn{2}{|l|}{Product C} \\
\hline Selling price per unit & \$ 30 & 100\% & \$ 20 & 100\% & \$ 15 & 100\% \\
\hline Variable costs per unit & 18 & 60\% & 15 & 75\% & 6 & 40\% \\
\hline Contribution margin per unit & \$ 12 & 40\% & \$ 5 & 25\% & \$ 9 & 60\% \\
\hline
\end{tabular} A particular machine is the bottleneck. On that machine, 3 machine hours are required to produce each unit of Product A,1 hour is required to produce each unit of Product B, and 2 hours are required to produce each unit of Product C. Rank the products from the most profitable to the least profitable use of the constrained resource (bottleneck).
Note: Round your intermediate calculations to 2 decimal places.
What ta the GPA for a student who carned the grades shown below? The grades are based on a 4.0 point maximum
\begin{tabular}{|c|c|c|}
\hline Class & Credits & Grade \\
\hline Phys ISOC & 4 & B \\
\hline Phys Lab 160C & 1 & C \\
\hline Math 210A & 4 & B \\
\hline Hist 220A & 3 & D \\
\hline
\end{tabular}
2.41
3.63
2.50
2.42
1. A cran-apple juice blend has a cranberry to apple ratio of 3:5. Find amounts for cranberry t and apple y. 2. John fills an 18-inch deep tub. It takes 2 min for 3 inches. Will it take 10 more min to fill? Explain.
A Boeing 777-300 has 4 First, 48 Business, 28 Premium economy, and 184 Economy seats. Find the probability that a random passenger (i) is in Premium economy and (ii) is not in Business class.
Descriptive statistics
How changing a value affects the mean and median The monthly rents (in dollars) paid by 8 people are given below. (Note that these are already ordered from least to greatest.)
820,895,1020,1060,1075,1120,1145,1145 Send data to calculator Suppose that one of the people moves. His rent changes from $1145 to $1105. Answer the following.
\begin{tabular}{|l|l|}
\hline (a) What happens to the mean? & It decreases by $□. \\
& It increases by $□. \\
& It stays the same. \\
\hline (b) What happens to the median? & It decreases by $□. \\
& It increases by $□. \\
& It stays the same. \\
\hline
\end{tabular}
Question 10 of 15 (1 point) I Question Attempt: 1 of 1 The top 14 speeds, in miles per hour, for Pro-Stock drag racing over the past two decades are listed below. Find the median speed.
180.3202.0190.0201.6190.7201.5192.6201.4193.5201.4194.6199.2195.8196.2
Send data to Excel
201.4
195.8
194.9
196.0
Español The following is a list of P/E ratios (current stock price divided by company's earnings per share) for 16 companies.
57,53,50,46,42,35,31,56,52,49,34,34,34,30,30,30 Send data to calculator Draw the histogram for these data using an initial class boundary of 29.5, an ending class boundary of 59.5, and 5 classes of equal width. Note that you can add or remove classes from the figure. Label each class with its endpoints.
□++□□□→−
Monroe High School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent. Here are the positions and the people interested in each.
\begin{tabular}{|c|l|}
\hline Position & \multicolumn{1}{|c|}{ People interested } \\
\hline Faculty member & Mrs. Rodriguez, Ms. Scott, Dr. Miller \\
\hline Male student & Bob, Boris, Carlos, Justin, Dante, Shen \\
\hline Female student & Maya, Latoya, Laura, Rachel, Carmen, Martina \\
\hline Parent & Dr. Lopez, Mr. Green, Ms. Anderson, Ms. Martinez \\
\hline
\end{tabular} Based on this list, how many ways are there to fill the four committee positions?
□
إعادة التشانيل
ε
5
www-awa.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNsIkr7j8P3jH-IBgucpIG1tT6kRBabGFF3MoAkZ_UVx0N2O2g70GO-k5lo7Hrw0JLYdqz_7HP21X1lk5Sjr..
is the national day_...
@dloo_125
FAIRY DRESS-UP - ...I
Assignment 2
Question 1 of 15 (1 point) | Question Attempt: 1 of 1
Time Remaining: 1:29:36
Sulaf One hundred students are shown an eight-digit number on a piece of cardboard for three seconds and are asked to then recite the number from memory. The process is repeated until the student accurately recites the entire number from memory. The following histogram presents the number of trials it took each student to memorize the number.
Espa
□
Continue
Submit Assignmen
(c) 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibii
ne two fair spinners below each have four equal sections. The diagram shows every possible total whe the results from the two spinners are added together. What is the probability of the total being 7 ? Give your answer as a fraction.
Copy and complete the table below for the graph of y=2x+1.
What values should replace A and B?
\begin{tabular}{c|c|c|c|c|c}
x & -1 & 0 & 1 & 2 & 3 \\
\hliney & -1 & A & 3 & B & 7
\end{tabular}
0: الويت المبفر 0:18:56
- The next Four (4) questions refer to this situation: Doctors' practices have been categorized as to being Urban, Rural, or Intermediate. The number of doctors who prescribed tetracycline to at least one patient under the age of 8 were recorded for each of these practice :areas. At level of significant 0.01 . The results are Crosstabulation Chi-Square Tests
\begin{tabular}{|l|r|r|r|}
\hline & \multicolumn{1}{|c|}{ Chi-square } & \multicolumn{1}{c|}{ df } & Asymptotic Significance (2-sided) \\
\hline Pearson Chi-Square & 79.2779 & 2 & .000 \\
Likelihood Ratio & 95.463 & 2 & 000 \\
N of Valid Cases & 474 & & \\
\hline
\end{tabular}
a. 0 cells (0.0%) have expected count less than 5 . The minimum expected count is 12.30 .
Specify the Null hypothesis
H0 : Doctors prescribe tetracycline and county type are linearly associated.
0
- Hq : Doctors prescribe tetracycline independent of county type
-
H0 : Doctors prescribe tetracycline and county type are non-linearly associated
0
H0 : Doctors prescribe tetracycline not independent of county type
Español A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}
\hline \multirow[t]{2}{*}{} & \multicolumn{8}{|c|}{Outcomes} & \multirow{2}{*}{Probability} \\
\hline & TIT & TTH & THH & HTT & HHT & HTH & THT & HHH & \\
\hline Event A: A tail on both the first and the last tosses & ○ & ○ & ○ & ○ & ○ & ○ & & ○ & □ \\
\hline Event B: Exactly one head & & & & & & & & & □ \\
\hline Event C: A head on each of the last two tosses & 0 & & & ○ & ○ & ○ & ○ & ○ & □ \\
\hline
\end{tabular}
Here are the scores of 13 students on an algebra test.
59,63,68,68,77,79,81,82,83,86,88,90,92 Notice that the scores are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
\begin{tabular}{|l|}
\hline \multicolumn{1}{|l|}{ Five-number summary } \\
Minimum: \\
Lower quartile: \\
Median: \\
Upper quartile: \\
Maximum: \\
\hline Interquartile range: \\
\hline
\end{tabular}
The data show the population (in thousands) for a recent year of a sample of cities in South Carolina.
\begin{tabular}{llllll}
13 & 21 & 24 & 26 & 66 & 16 \\
23 & 15 & 16 & 30 & 28 & 35 \\
90 & 18 & 30 & 26 & 21 & 27 \\
103 & 48 & 22 & 48 & 106 & 34 \\
33 & 56 & & & &
\end{tabular}
Send data to Excel Part: 0 / 8 Part 1 of 8 The data value □ corresponds to the 48th percentile. □
Below are the times (in days) it takes for a sample of 23 customers from Jack's computer store to pay their invoices.
19,15,43,39,35,31,27,22,18,14,42,38,34,30,26,21,17,33,33,29,29,24,24 Send data to calculator Draw the histogram for these data using an initial class boundary of 13.5 and a class width of 7 . Note that you can add or remove classes from the figure. Label each class with its endpoints.
Explanation
Check
(c) 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center I
Children's Living Arrangements The following data represent the living arrangement for children with single parents. Draw two pie graphs and compare the results.
\begin{tabular}{ccc}
Ages of Children & Single Mothers & Single Fathers \\
\hline 0−5 years & 33% & 40% \\
6−11 years & 28% & 33% \\
12−17 years & 39% & 27%
\end{tabular}
Send data to Excel Part: 0/3 Part 1 of 3
Draw a pie graph representing children living with single mothers. Round to the nearest degree. Living with Single Mothers
0−5 years
120 6-11 years
120
- 12-17 years
120
Which is the equation for the values in the table? 8.51
\begin{tabular}{|c|c|c|c|c|}
\hlinex & -10 & 10 & 20 & 30 \\
\hliney & -7 & 3 & 8 & 13 \\
\hline
\end{tabular} A y=−21x−2
B y=−2x+2
C y=2x+2
D y=21x−2
Find the probability that a randomly chosen prisoner takes no classes, given the prisoner counts: 449 (under 30) and 360 (30 and over). Round to three decimal places.
Given data on prisoners by age and courses taken, find: 1. The probability a prisoner takes no classes. 2. The probability a prisoner is under 30 and takes high school or college classes.
Choose a prisoner at random. Find these probabilities rounded to three decimal places: 1. Probability of not taking classes: 0.781 2. Probability of being under 30 and taking high school or college classes: 0.160
Find the probabilities: 1. Probability a randomly chosen doctor is a pathologist: P(pathologist)=0.128. 2. Probability a randomly chosen doctor is a pediatrician or a Doctor of Osteopathy.
A hospital has 4 pathologists, 11 pediatricians, and 23 orthopedists. Find the probability of selecting a pathologist and a pediatrician or a doctor of osteopathy.
Which set of ordered pairs (x,y) represents a linear function: A = {(0,5), (3,2), (6,-1), (10,-4)},
B = {(0,-1), (3,2), (0,5), (0,7)},
C = {(2,0), (4,0), (5,-3), (6,-5)},
D = {(-4,-5), (-1,1), (0,3), (4,6)}?
Which table shows a linear function? A: (−3,−6),(0,−4),(3,−2),(6,0); B: (−2,−7),(−1,−5),(0,−3),(2,−1); C: (−6,6),(−2,0),(0,−3),(3,−6); D: (2,0),(4,2),(6,3),(8,5).
Create a relative frequency distribution from these conditions: CHF, Coronary Atherosclerosis (887), Heart Attack (1372), Infant Birth (552), Pneumonia (4152). Round to two decimal places.
Percentiles The weights (in pounds) of 20 preschool children are
39,42,25,46,40,23,43,35,30,32,31,50,26,34,41,21,47,27,48,22
Send data to calculator
Send data to Excel Find 10th and 75th percentiles for these weights.
(If necessary, consult a list of formulas.)
(a) The 10th percentile: II pounds
(b) The 75th percentile: □ pounds
Explanation
Check
Write an equation to describe the sequence below. Use n to represent the position of a term in the sequence, where n=1 for the first term.
34,−102,306,… Write your answer using decimals and integers.
an=□(□)n−1
Submit
AP Catoulus AB 1. Given the Table of f(x) shown betow, find dr d g(4) given f−2(x)=g(x)
\begin{tabular}{|c|c|c|c|c|}
\hlinex & 0 & 1 & 2 & 4 \\
\hlinef(x) & −1/2 & 4 & 2 & 0 \\
\hlinef(x) & 0 & 3/4 & 7 & -1 \\
\hline
\end{tabular}
g(4),f−1(k)=⋯dxdx(g(4))=− 2. Given x2y−4x3=2π find the value of dxdy at the point (1,0)2x′−12x2=2πdxdy=2(1)1−12(1)2=2π22−2π2−12−2π−10−2πdxdy=−10−2π 3. Given h(x)=sinsin(2x−1−1) Find dxdh(x)n−1(x)=sin−1(
Children's Obesity The following information shows the percentage of children who are obese for 3 age groups:
\begin{tabular}{|c|c|}
\hline Age & Percent \\
\hline 3−5 & 9.5 \\
\hline 6−11 & 17.5 \\
\hline 12−19 & 18.2 \\
\hline
\end{tabular} If a child is selected at random, find each probability. Part: 0/2□ Part 1 of 2
(a) If you select a 3-5 year old child, the child is obese. The probability is □ \%.
4.99
ALEKS
www-awa.aleks.com/alekscgi/x/Isl.exe/1o_u-lgNsIkr7j8P3jH-IBgucpIG1tT6kRBabGFF3MoAkZ_UVx0N2O2gj_rnanaokTTH5DkL2d5v0LUaS1SKOKqSfrDfSASKtcqJaF...
كل الإشارات المرجعين
Google
Translate
News
Maps
YouTube
Probability
Outcomes and event probability
0/5
Mayar
Español A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}
\hline & \multicolumn{8}{|c|}{Outcomes} & \multirow[b]{2}{*}{Probability} \\
\hline & HHH & THH & TH & πT & HTH & HTT & HHT & THT & \\
\hline Event A: Two or more tails & □ & □ & □ & □ & □ & □ & □ & □ & \\
\hline Event B: More tails than heads & □ & □ & □ & □ & □ & □ & □ & □ & — \\
\hline Event C: No tails on the first two tosses & □ & □ & □ & □ & □ & □ & □ & □ & □ \\
\hline
\end{tabular}
Fixplanation
Check
(9) 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use
Privacy Center
Accessibility
1. Construct a scatter diagram of the two variables, placing GNP per capita (in $1000 s) on the X -axis and % willing to pay more for environmental protection on the Y -axis. 2. The correlation coefficient is .365 . What does this tell you about the relationship between the two variables? 3. The regression equation for this data provides us with the following results:
Y=49.19+0.59XP<.01 Interpret this equation. What do the intercept and slope tell you about the relationship between the two variables? What else can you report about these results?
If the formula xˉ−n1∑i=1nx is used to find the mean of the following sample, what is the value of m ?
43,36,93,2,28,83,10,22,9,84,41,3,13,20
A. 13
B. 15
C. 14
D. 16
The set of ordered pairs (1,7),(3,8),(3,6),(6,5),(2,11),(1,4) represents a relation. Answer parts a and b.
a. Make an arrow diagram that represents the relation. Which of the following arrow diagrams represents the relation?
A.
B.
C.
D. Click to select your answer.
Review Progress
Question
2
of 12
Back
Next
Sign out
Dec 16
9:19 INTL
pueblo was occupied around 1298 A.D. (based on evidence from potsherds and stone tools). The following data give trem-ring dates (A.D.) from adjacent archaeological sites:
\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|}
\hline 1196 & 1274 & 1275 & 1282 & 1282 & 1278 & 1279 & 1323 & 1324 & 1237 \\
\hline
\end{tabular}
§ USE SALT
(a) Use a calculator with sample mean and standard deviation keys to find xˉ and s. (Write your standard deviation in years and round it to four decimal place.)
xˉ=□X A.D. s= Enter an exact number yr 1298 A.D.? Use a 1% level of significance.
(i) What is the level of significance?
0.01 State the null and alternate hypotheses. (Enter != for = as needed.)
H0:μ=1298H1:μ!=1298
(ii) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
We'll use the standard normal, since we assume that x has a normal distribution and σ is unknown.
We'll use the standard normal, since we assume that x has a normal distribution and σ is known.
We'll use the Student's t, since we assume that x has a normal distribution and σ is unknown.
We'll use the Student's t, since we assume that x has a normal distribution and σ is known. Compute the appropriate sampling distribution value of the sample test statistic. (Round your answer to two decimal places.)
□
9:54 AM
The table shows the test scores of some students in a class.
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline Score & 0 & 1 & 2 & 3 & 4 & 5 \\
\hline Frequency & 8 & 4 & 3 & 9 & 6 & 7 \\
\hline
\end{tabular} Which test score was the least common?
Mr. Li records the measures of the lengths of his students' handprints. The lengths, in centimeters, are shown in th table.
\begin{tabular}{|l|l|l|l|l|l|l|}
\hline 14.0 & 11.5 & 12.1 & 16.2 & 13.5 & 14.3 & 16.8 \\
\hline 12.4 & 13.7 & 12.0 & 14.7 & 15.2 & 11.9 & 15.6 \\
\hline 13.8 & 14.2 & 12.5 & 15.0 & 16.0 & 13.1 & 11.7 \\
\hline
\end{tabular} If the class creates a histogram of the data in the table, how many students are in the range 12 cm to 13.9 cm ?
3
4
7
8
Write an expression to describe the sequence below. Use n to represent the position of a term
Questions
answered
in the sequence, where n=1 for the first term.
−65,−64,−63,−62,…
13
Suppose that 3 adults have been tested for COVID-19. Assume that the success event is that the individual's test is positive. Also, consider the following snippet from MegaStat output: Binomial distribution
?0.351np
\begin{tabular}{rr}
X & P(X) \\
\hline 0 & 0.273359 \\
1 & ? \\
2 & 0.239872 \\
3 & 0.043244 \\
\hline & 1.00000
\end{tabular}
? expected value
? variance
? standard deviation 17. The mean (μ) is equal to
A) 1.053
B) 0.683397
C) 0.826678
D) 1.947 18. The standard deviation (σ) is equal to
A) 0.826678
B) 1.947
C) 1.053
D) 0.683397 19. The probability that at least one adult are tested positive for COVID-19 is equal to ...
A) 0.956756
B) 0.273359
C) 0.726641
D) 0.716884 20. The probability that less than one adult are tested positive for COVID-19 is equal to ...
A) 0.273359
B) 0.726641
C) 0.716884
D) 0.283116 21. The probability of failure is equal to
A) 0
B) 1
C) 0.649
D) 0.351 22. The average number of pounds of meat that a person consumes per year is 94.5 kg . Assume that the standard deviation is 8.5 kg , and the distribution is approximately normal. If a sample of 75 individuals is selected. What is the probability that the mean of the sample will be at most 97.5 kg per year? Note that: P(X>97.5)=0.362066 and P(Xˉ>97.5)=0.001119.
A) 0.001119
B) 0.637934
C) 0.998881
D) 0.362066 Use the following to answer questions 23-25:
In a study about obesity, suppose that the BMI follows the normal distribution with mean equals to 21.03. Consider the following MegaStat output:
\begin{tabular}{rcrrrr}
P(lower) & P(upper) & z & mean & std.dev \\
0.038764 & & -1.765217 & 19 & ? & ? \\
0.00421 & 0.814781 & -0.895652 & 20 & ? & ? \\
& & -2.634783 & 18 & ? & ? \\
0.995097 & 0.199481 & 0.843478 & 22 & ? & ?
\end{tabular}
8. A new 4 K TV originally costs $3000. Complete the table.
\begin{tabular}{|c|c|}
\hline Discount (\$) & Percentage \\
\hline & 10 \\
\hline \begin{tabular}{l}
शinप \\
ve bons mants Jen
\end{tabular} & \\
\hline nsjalb bns 29m & Denivi 80 \\
\hline & 100 \\
\hline
\end{tabular}
(5) of bebizat au Jilqz Yent pool 70 ase 709 .bnsiר 9. What is the amount of discount on the TV?
srnek
2. A single die is rolled twice. The set of 36 equally likely outcomes are given as follows:
{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)} Find the probability of the sum of two faces is equal to 3 or 4 ?
A table of values of a linear function is shown below.
\begin{tabular}{|l|l|l|l|l|}
\hlinex & 0 & 1 & 2 & 3 \\
\hliney & 3 & 5 & 7 & 9 \\
\hline
\end{tabular} Find the slope and y-intercept of the function's graph.
slope: □y-intercept: □
Assignment
Actlve Using a Table to Solve a Proportion Extend the rate table to the next row by determining how many quarts of water are necessary for '81/2' tablespoons of salt.
123/2=a81/2
\begin{tabular}{|c|c|}
\hline \begin{tabular}{c}
Tablespoons of \\
Salt
\end{tabular} & Quarts of Water \\
\hline 3/2 & 12 \\
\hline 9/2 & 36 \\
\hline 27/2 & 108 \\
\hline
\end{tabular}
DNㄴ․․