A large city is interested in annexing part of the surrounding county. The city counsel believes more business owners will be against the annexation. In a random sample of 162 business owners 102 responded they were against the annexation. A random sample of 264 non-business owners 148 out of 264 responded they were against the annexation. Using a 0.05 significance level, do they have evidence to support their belief that more business owners will be against the annexation?

Q: Last month,137 people signed up for the swim lessons at city pool. Each of the 7 swim teachers had…

A: Given that 137 people signed for swim lessons. We need to find the number of students that each of…

Q: A business with 150 workers pays 113 employees P45.50 per hour and 37 employees P51.25 per hour.…

A: Given  n=113, X1=45.5, n=37, X2=51.25  We want to calculate average.

Q: You go to a resturant with four other people. The total for the food is 43.85 you need 5% for tax…

A: Food bill = $43.85 Tax amount = 5% of bill and tip = 15% of bill number of total bill distributor =…

Q: When you spent 16.6 minutes on the elliptical trainer and then did circuit training for 11.9…

A: Given: You spent 16.6 minutes on the elliptical trainer and then did circuit training for 11.9…

Q: In the freshmen class, 62% of the students take Math, 49% take Science, and 38% take both Science…

A: It is given that, P(Math) =62%=0.62 P(Science) =49%=0.49 P(Math and Science) =38%=0.38

Q: High in the Rocky Mountains, a biology research team has drained a lake to get rid of all fish.…

A: Total number of species of greenback trout , n = 2000. Number of trout put into the lake , x = 900.…

Q: The security guard of Sinampaloc National High School recorded the number of parents who entered the…

A: The results were 100, 105, 120, 95, 110, 150, 78, 94, 88

Q: Emma’s 100-meter dash time is ranked at the 96thpercentile among all highschool sprinters in the…

A: We have to find Emma's rank.

Q: Claire and Gina kept track of the number of hours that they practiced each week for an ice skating…

A:

Q: What will your company’s revenue be if you produce and sell 10 million chips? What about 60 million…

A:

Q: Alex earns $48.5 ,$98.83 ,$155 and $131.5 on the first , second , third fourth week respectively.…

A:

Q: 48% of the students who applied received a scholarship.   If 408 students received a scholarship,…

A: 48% of the students who applied received a scholarship. If 408 students received a scholarship,…

Q: The highest point in a country is Mt. Chagrin at 12,048 feet. The lowest point is - 384 feet in…

A:

Q: There are 206 people who have signed up for cooking classes. If there will be 8 people in each…

A: There are 206 people who have signed up for cooking classes. If there will be 8 people in each…

Q: High in the Rocky Mountains, a biology research team has drained a lake to get rid of all fish.…

A: Proportion of tagged trout in the lake: The proportion of tagged trout in the lake is calculated as…

Q: im going to give 12 cupcakes to my friends, thats 80% of my order. how many cupcakes will i order in…

A:

Q: A hair dryer has 3 settings for heat and 2 settings for fan speed. Find the number of possible…

A: Solution According to guidelines we solve only first

Q: A sandwich shop has 20 different choices for fillings. How many different ways are there to choose 5…

A: This is a cimbination question  ncr=n!/(r!(n-r!))7+

Q: The average score of lovelyn in 6 math quizzes is 19. If she will not include her lowest score, her…

A: Let her lowest score be x and the other scores be a,b,c,d,e.

Q: Nick and his team collected tanned and released 27 deer several days later the teams return to the…

A: Let 'x' be the total population of deer. Now from given data we form equations in ratio form. ratio…

Q: Fleet Center seats 19,580 people. Total attendance for the season was 453,500. Assuming a 25-game…

A: Given,Total attendance for the season was 453,500.Assuming a 25-game home schedule.

Q: John's math course requires 5 tests. His first 4 grades were 72, 89, 91, and 93. To end up with an…

A:

Q: Explain what is a margin of error. Provide an example from daily life.

A: A margin of error explains how many percentage points our statistic results will differ from the…

Q: A California license plate has 1​ digit followed by 3​ letters followed by 3​ more digits. How many…

A: No.of digits from 0 to 9=10No.of letters from A to Z=26

Q: Find the temperature at which the Celsius measurement and the Fahrenheit measurement are the same…

A: Find the temperature at which the Celsius measurement and the Fahrenheit measurement are the same…

Q: High in the Rocky Mountains, a biology research team has drained a lake to get rid of all fish.…

A: The proportion of tagged trout in the lake is, p = 700/2000 = 0.35Let X be the number of tagged…

Q: A hair dryer has 3 settings for heat and 2 settings for fan speed. Find the number of possible…

A:

Q: A recreation center holds a game every saturday. The team agreed there should be no less than 5…

A: A mathematical statement, which states that two expressions are not equal is called an inequation…

Q: Willie Mays and Mickey Mantle hit 88 home runs one season to lead their leagues. Mays hit 14 more…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.