The number of patrol officers needed on staff depends on the crime rate of the county, which is calculated based on the number of crimes per year. At a 3% crime rate, the county hires 200 officers per 10,000 people in the population. For every 0.1% increase in crime rate, an additional 5 officers are hired per 10,000 people in the population. For every 0.1% below 3% crime rate, 3 fewer officers are hired. • A 3% sign-on bonus is offered for officers with no experience when there is a 5% to 10% shortage in the number of officers employed. • A 5% sign-on bonus is offered for officers with no experience when there is an 11% or higher shortage in the number of officers employed. • A 6% sign-on bonus is offered for officers with at least 3 years of experience when there is a 5% to 10% shortage in the number of officers employed. • A 10% sign-on bonus is offered for officers with at least 3 years of experience when there is an 11% or higher shortage in the number of officers employed. County Population Yearly Total Crime Number of Officers Currently Cases Rate Employed Maple 761,000 19,025 2.5% 14,000 Willow 298,000 22,350 7.5% 12,600 Oak 1,192,000 41,720 3.5% 26,500 Pine 530,000 29,150 5.5% 14,600 Approximately how many additional police officers are needed in Oak County?

The number of people applying for free financial aid has gone up in the past decade by 6.74%. If the number of people that used to apply was 9,720,000, then how many total people are applying in the most recent year?

The number of live births recorded and the number of infants died in a town during a given period are respectively 400 and 25. Calculate, from these information, the infant mortality rate of the town for the period.

The number of virus cells increases by 37% each day. What is the common​ ratio?

You are working with a neighborhood committee to apply for a grant to buy new playground equipment for alocal park. According to the data from the 2010 census, 27 households in the neighborhood have children and 18households do not have children.  Which of the following represents the ratio of families without children to families with children? NOTE: this is a part to part ratio.

A car dealer sells K cars in a year. what is the monthly average for the number of cars sold?

show step by step and answer all questions The 102 highway has a posted speed limit of 70 miles per hour on the stretch from San Francisco to Bay Area. For a single week, the highway patrol set up a hidden radar gun to measure how many cars break the speed limit after having numerous reports of accidents on this stretch of highway. The highway patrol needs to put together an action plan if the annual proportion of vehicles who break the speed limit is over 9%. However, they could only set up the radar gun for one week. Question-The sampling method used for this situation would most likely be considered 'convenience sampling.' Find a potential fault, bais, or hidden variable in the way this sample was conducted that might skew the results. -What is the sample size,What is the proportion of vehicles who broke the speed limit over this 1 week period from Bay Area to San Francisco? -Construct a 90% confidence interval for the proportion of vehicles who break the speed limit annually. -Is…

If 1% of a shipment of 2000 light bulbs is defective, how many bulbs in the shipment are NOT defective?

Calculate P(eating breakfast | age 14-17 )

In 2016 the Better Business Bureau settled 84% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is 0.84, the same as the overall proportion of complaints settled in 2016. Use the z-table. a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of p. E(p) (to 2 decimals) (to 4 decimals) b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.04 of the population proportion (to 4 decimals)? probability : = c. Suppose you select a sample of 460 complaints involving new car dealers. Show the sampling distribution of p. E(F) (to 2…