Open with rtions O Five out of every six of Ms. Smith's students passes the exam in math. If 70 students passed the exam, how many students does Ms. Smith have? 2. Adam has a monthly income of $210. He wants to buy a used car for $150 a month. What percent of his monthly income would his car payment be to the nearest tenth? 3 Sadie works at a car dealership and receives a 3.5% commission for each car she sells. She received $930.30 in commissions for selling a car. What was the price of the car? 4. Laura makes 10.5% commission on each of her sales. How much does she make when she sells a house for $85,000? James hits the bulls-eye of the archery target with an arrow 72% of the time. If James shot his bow and arrow 30 times, about how many times did he hit the bulls-eye? 6. In a recent survey, two out of 3 dentists chose Cavity toothpaste for their patients. If 12 dentists chose Cavity, how many were surveyed? Hershey Foods makes a batch of chocolate with 75 lbs. of cocoa beans. If we know that the ra will they use? Page s19 Qki+, how many gallons of milk

Open with rtions O Five out of every six of Ms. Smith's students passes the exam in math. If 70 students passed the exam, how many students does Ms. Smith have? 2. Adam has a monthly income of $210. He wants to buy a used car for $150 a month. What percent of his monthly income would his car payment be to the nearest tenth? 3 Sadie works at a car dealership and receives a 3.5% commission for each car she sells. She received $930.30 in commissions for selling a car. What was the price of the car? 4. Laura makes 10.5% commission on each of her sales. How much does she make when she sells a house for $85,000? James hits the bulls-eye of the archery target with an arrow 72% of the time. If James shot his bow and arrow 30 times, about how many times did he hit the bulls-eye? 6. In a recent survey, two out of 3 dentists chose Cavity toothpaste for their patients. If 12 dentists chose Cavity, how many were surveyed? Hershey Foods makes a batch of chocolate with 75 lbs. of cocoa beans. If we know that the ra will they use? Page s19 Qki+, how many gallons of milk

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Description: 3 Classwork for Math 8 Period 5+图A classroom.google.com/w/NDEwNzgzNDg5NTRa/t/allS Sources* https://classroom.U ScientificJab GraphingO Springboard - Math.O AwareLinks AO GoogleCOpen with , DortionsK Open with Kapportion(1) Five out of every six of M

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 5SE: Answer the following questions. 5. What is the term for the arrangement that selects r objects from...

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Answer the following questions. 5. What is the term for the arrangement that selects r objects from a set of ii objects when the order of the r objects is not important? What is the formula for calculating the number of possible outcomes for this type of arrangement?
Pigmented makeup products like mascara and eye shadow may contain metal (e.g., nickel) allergens. Is a nickel allergy more likely to occur in women who report cosmetic dermatitis from using eye shadow or mascara? In a sample of 126 women with cosmetic dermatitis from using eye shadow, 11 were diagnosed with a nickel allergy. In a sample of 266 women with cosmetic dermatitis from using mascara, 26 were diagnosed with a nickel allergy. Use this information to complete parts a through c below. Question content area bottom Part 1 a. Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy. The 95% confidence interval for eye shadow is enter your response here,enter your response here.
Pigmented makeup products like mascara and eye shadow may contain metal (e.g., nickel) allergens. Is a nickel allergy more likely to occur in women who report cosmetic dermatitis from using eye shadow or mascara? In a sample of 123 women with cosmetic dermatitis from using eye shadow, 12 were diagnosed with a nickel allergy. In a sample of 261 women with cosmetic dermatitis from using mascara, 27 were diagnosed with a nickel allergy. Use this information to complete parts a through c below. a. Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy. b. Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using mascara who have a nickel allergy. c. Suppose you are informed that the true proportion with a nickel allergy for one of the two groups (eye shadow ormascara) is 0.15. Can you determine which group isreferenced?
Pigmented makeup products like mascara and eye shadow may contain metal (e.g., nickel) allergens. Is a nickel allergy more likely to occur in women who report cosmetic dermatitis from using eye shadow or mascara? In a sample of 125 women with cosmetic dermatitis from using eye shadow, 11 were diagnosed with a nickel allergy. In a sample of 267 women with cosmetic dermatitis from using mascara, 25 were diagnosed with a nickel allergy. Use this information to complete parts a through c below. a. Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy. b. compute a 95% confidence interval for the proportion of women with cosmetic cermatitis from using mascara who have a nickel allergy
Some albatrosses return to the world’s only mainland colony of royal albatrosses, on OtagoPeninsula near Dunedin, New Zealand, every two years to nest and raise their young. In order tolearn more about the albatrosses, scientists place colored plastic bands on their legs so that theycan be identified from a distance. Suppose that three hands are placed on their right leg, with the color of each band selected from the colors red, yellow, green, white, and blue. Anyone withbinoculars is then able to track a banded bird. For the number of different color codes that arepossible for banding an albatross this way ifa) The three bands are of different colors.b) Repeated colors are permissible.
At McDouglas Hamburger stands, each employee must undergo a training program before he or she is hired. A group of nine people went through the training program and were hired to work in the Teton Park McDouglas Hamburger stand. Rankings in performance after the training program and after one month on the job are shown (a rank of 1 is for best performance). Employee 1 2 3 4 5 6 7 8 9 Rank, training program 6 7 3 9 2 5 4 1 8 Rank on job 8 4 1 5 3 7 6 2 9 Using a 0.05 level of significance, test the claim that there is a monotone-increasing relation between rank in the training program and rank in performance on the job. (a) State the test used. (b) Give α. (c) Find the sample test statistic. (Use 3 decimal places.)
An education researcher claims that at most 5% of working college students are employed as teachers or teaching assistants. In a random sample of 600 working college students, 7% are employed as teachers or teaching assistants. At α = 0.05, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. A. The percentage of working college students who are employed as teachers or teaching assistants is not ______%. B. More than ______% of working college students are employed as teachers or teaching assistants. C. At most ______% of working college students are employed as teachers or teaching assistants. D. ______% of working college students are employed as teachers or teaching assistants. (b) Find the critical value(s) and identify the rejection region(s). z0 =…
A private lake sells boating memberships and currently has 600 members. During the application process the potential members are asked which recreational activity they do the most. Their choices are fishing, skiing, boarding, swimming, or tubing. The lake manager chooses clients according to their interests to maximize the use of all areas of the lake. Every month, the lake rangers randomly sample the boats on the lake and categorize them according to the activity they are doing. The lake manager performs a chi-square goodness-of-fit test using the following null hypothesis to see whether their samples differ significantly from what the original applications claim. H0:pfish=0.26,pski=0.21,pboard=0.30,pswim=0.12,ptube=0.11 In order to meet the conditions for independence and large counts for a chi-square goodness-of-fit test, which of the following represents all possible sizes of the monthly samples? n≥30 lowercase n is greater than or equal to 30 A 30≤n≤50 30 is less than…
4.) In our Statcrunch group, there is a file called ”Body Measurements”. This file con- tains body measurements for different adults (who have finished growing). Open the file and make stacked dotplots for the height of men and women (one dotplot for each). What differences do you notice between males and females?
At a stop sign, some drivers come to a full stop, some come to a rolling stop (not a full stop, but slow down), and some do not stop at all. Test if there is an association between gender and type of stop (full, rolling, or no stop). Data is collected by standing a few feet from a stop sign and taking note of the type of stop and the gender of the driver. Below is a contingency table summarizing the data that was collected. Do the data provide enough evidence to show that there is an association between gender and type of stop (full, rolling, or no stop)? Test at the 3% level and round expected values to one decimal place. Type of Stop Male (Observed) Male (Expected Value) Female (Observed) Female (Expected Value) Row Total Full Stop 11 21 32 Rolling Stop 15 15 30 No Stop 9 8 17 Column Total 35 44 79 H: HypothesesHo:Ho:Select an answer Gender male female Male and Select an answer Type of Stop male female Female are Select an answer independent dependent…
A manager at a large company wants to understand whether the employees are feeling overworked while completing a project. The company has 200 employees working on the project all over the world, but the manager only has time and money to collect information from 50 people. Which of the following is the BEST method that the manager could use to select the 50 people for the study? a Collect information from 50 people working on the project for the longest period of time. b Collect information from 50 randomly selected people working on the project. c Collect information from 50 newly hired people working on the project. d Collect information from 50 people working on the project at one location.
The network below represents a network of (rather unstable) rope bridges between six villages in some remote corner of Mangrovia. The bridges are so narrow that travel is only possible in one direction (as indicated by the arrows). Further the bridges are now so worn that there is an uncomfortable high chance of them collapsing when used. Assume that the edge labels are the likelihood (as percentage) of a bridge collapsing when the crossing is attempted. So for example there is a 20% chance of the bridge from vertex 2 to 5 collapsing, or a probability of 0.8 of getting across unharmed. please 1. Find the probability of survival for each leg in the network and draw the network with these probabilities shown. 2. What is the probability of surviving a journey from 1 to 6 along legs (1,2), (2,5) and (5,6)? 3. Prove that for this problem the Principle of Optimal holds: (i.e. “The optimal path from any node to the end does not depend on how you arrived at that node” – adapt the three line…