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Find two nonnegative numbers x and y for which x+3y=30, such that (x^2)y is maximized

This ecological study will be conducted using data from two sources. Data will be analysed from Global burden of disease (www.healthdata.org) for prevalence of male infertility and smoking for age groups >15 from year 2012-2019 and the data from Eurobarometer (www.europa.eu/eurobarometer/) on E-cigarettes usage of the same age groups and year under study. In the Eurobarometer database, electronic cigarette use is typically measured through survey questions that assess individuals' self-reported behaviours and attitudes towards e-cigarette use but they generally aim to gather information on the prevalence and patterns of e-cigarette use among the surveyed population. The following statistical analysis will be planned with the aggregated data. Employing a linear regression model with the male infertility prevalence as the dependent variable and the e-cigarette usage as the independent variable. Each data point in the model will represent a specific EU country during a particular year. A suitable regression method will be used to estimate the coefficients of the regression equation which will help establish the relationship between male infertility and e-cigarette usage rates, accounting for the variability across the EU countries. Furthermore, if other predictor variables at the country level are identified and data is available, they may be added to the regression model. This will help improve the estimation of coefficients and enhance the overall understanding of the relationship between male infertility and e-cigarette usage rates across EU countries. The quality of the regression model will be examined by the goodness-of-fit measures. These metrics will indicate how well the model explains the variations in male infertility rates based on e-cigarette usage rates. The results of the linear regression analysis, including the significance and direction of the regression coefficients will determine if there is a statistically significant relationship between male infertility and e-cigarette usage rates among men aged >15 across the EU countries. Visualizations, such as scatter plots, to depict the relationship between male infertility prevalence rates and e-cigarette usage rates across the EU countries over the study period will be created. The results will be interpreted from the statistical analysis, including the strength, direction, and statistical significance of the regression.

Divide, if possible: 2.96/0

Question 3 (L.O. 5.3) Can you find the solution/s to these quadratic equations? x2 – 6x + 25

What percentage of occupancy do I have if I have 128 units and 10 empty ? What percent is 10 of 128 ?

In 12 - In 4 reduce logarithmic expression

(x-5y)²

2# uses the second derivative criterion to calculate the local maxima and minima of the following functions: f(x) =x4 -8x²+3

Calculate the energy needed to transform a 20 gram block of ice at -15 degrees into water vapor at 150 degrees.

2) Pito Pérez was saving the amount of $1,500 at the beginning of each fortnight for 10 years. What is the final amount accumulated at the end of the last fortnight? with an interest rate of 12% per year compounded biweekly