The manager of the BiLo Supermarket in Mt. Pleasant, Rhode Island, gathered the following information on the number of times a c

B. quadratic. To determine whether a function is linear, quadratic, or exponential without graphing, examine the first, second, and third differences between the terms. If the first differences remain constant, the function is linear; if the second differences are constant, it is quadratic; if the third differences are constant, it is cubic. If the fourth differences do not remain constant, the function may be exponential. Here, the first differences are not constant, ruling out linearity. However, the second differences are constant (around $0.18 each), indicating a quadratic function. The accompanying graph supports that the points closely align with a quadratic model.

Answer:

(a) What will his age be after 5 years?

"5 + y" years old

(b) What was his age 6 years ago?

"y - 6" years old

(c) If his grandfather’s age is five times his, how old is his grandfather?

"5y" years old

(d) His father is 6 years older than three times his age. How old is his father?

"6 + 3y" years old

Note: Disregard the quotation marks, ""

Answer:

The triangulation technique may not always yield a precise result (aside from any errors in measurement) for the following reasons:

It employs a variety of data sources, different researchers, and multiple theories or viewpoints.

Step-by-step explanation:

Research triangulation integrates various methods, data sources, diverse investigators, and assorted theories to develop a deeper insight into the situations being studied. This process fortifies qualitative research by incorporating data from multiple sources, perspectives, and methodologies.

Answer:

   

Hence, in this case, the 98% confidence interval would be (163.626;180.374)    

Step-by-step breakdown:

Previous concepts

A confidence interval represents a range that is likely to encompass a population value within a specific confidence level, typically expressed as a percentage whereby a population mean falls between an upper and lower limit.

The margin of errorindicates the span of values surrounding the sample statistic in a confidence interval.

A normal distributionillustrates a probability distribution that is symmetrical around the mean, signifying that values near the mean occur more frequently than those farther away from it.

denote the sample mean

population mean (the variable of interest)

s=16 signifies the sample standard deviation

n=23 represents the sample size  

The solution to the query

The equation for the confidence interval of the mean is given by the following formula:

  (1)

To determine the critical value , we first need to calculate the degrees of freedom, which is expressed as:

Since the confidence level is 0.98 or 98%, we find the value of and using tools like Excel or a calculator, where the Excel command would be: "=-T.INV(0.01,22)". This yields

Having all components ready, we can substitute into formula (1):

   

Thus, for this case, the 98% confidence interval will be (163.626;180.374)    

2ab x cos(C) = 7 since

a^2 + b^2 - 2ab x cos(C) = c^2
2ab x cos(C) = a^2 + b^2 - c^2
2ab x cos(C) = 2^2 + 2^2 - 1^2
2ab x cos(C) = 7