Thirty-six of the staff of 80 teachers at a local intermediate school are certified in Cardio-Pulmonary Resuscitation (CPR). In

After two bites, the weight of the hamburger is recorded at 160g.

Each bite removes 20% of the burger's total weight, so to uncover the weight prior to the bites, we calculate it based on the percentage that remains.

The initial weight stands at 160g. Given that 20% of the weight was lost during a bite, we should divide this weight by the remaining percentage after the bite:



After a bite, 80% of the burger is what remains. Convert this percentage into a decimal by dividing it by 100:



Now, let's divide the original weight by this figure:



Before the second bite, the weight of the hamburger was 200g.

The same method will apply for the first bite. Initially, it weighed 200g, with 80% still intact after the initial bite. Since 80% converts to 0.8 in decimal form, divide 200 by 0.8:



Thus, the original weight of the hamburger prior to any bites was 250 grams.

1) The domain is represented in interval notation as [0, 20]. 2) The range is denoted as [100, 700]. Given that Beth saves $30 per month for 20 months and started with an account of $100, we express the total amount saved as Y = $100 + $30 × X, allowing us to accurately define both the domain and range.

The general equation for exponential decay characterized by a half-life (T) is expressed as N(t) = N_0(1/2)^(t/T), where N(t) signifies the amount remaining at time t, N_0 stands for the initial amount (at t=0), and T denotes the half-life of the substance. The half-life of carbon-14 is about 5,730 years. When starting with 6 mg of carbon-14, the equation for the remaining amount after t years would be established.

Answer: 0.46

Step-by-step explanation:

B&B Motors' mini trucks yield 0.59; all four companies combined yield 0.39; mini trucks yield 0.13. Hence, 0.59 - 0.13 equals 0.46.

A) To establish a sampling plan, follow these 5 steps:
    1) Identify the sample population: which customers will you reach out to?
       Those who purchased a new car during a specific year.
    2) Determine the population size: how many customers will you contact?
       From the 30,000 car buyers, select 1,000 customers to contact.
    3) Select contact method: what is your means of contacting customers?
       Since you have a list with names and addresses, mailing questionnaires is feasible.
    4) Define the sampling frame: what is the timeline or deadline for contacting customers?
       Send out questionnaires and allow two months for responses.
    5) Decide on the analysis approach: is your research qualitative or quantitative?
     You aim for quantitative research, so you will use probabilistic sampling.

B) The 32.5% probability relates only to those customers who experienced mechanical issues, specifically power door lock problems, and does not account for those without any problems or those reporting issues after the first 5,000 miles.

C) To estimate the probability of power door lock problems among all customers within the first 5,000 miles, consider the entire sample:
P = 13 / 1000 = 0.013

Therefore,
N = 0.013 × 30,000 = 390

Thus, the estimated number of new cars that had power door lock issues within 5,000 miles is 390.