in a sample 49 adolescents who served as the subject in an immunologic study, one variable of interest was the diameter of skin test reaction to an antigen. the sample mean & standard deviation were 21 & 11mm erythema, respectively. can it be concluded from this data that the population mean is less than 30? Let alpha=0.05. also find the p-value of the test.

What is the value of x in the diagram below?

Which mathematical statements are true? 1) if 3 is an odd number, then 3 times 3 is an even number. 2) if 6 is less than 7, then 4 is greater than 7. 3) six is divisible by 3, and 10 is a multiple of 2. 4) the average of the data is greater than the largest value in the data, or it’s less than the largest value in the data. 5) the slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value. 6) if an equilateral triangle has equal angles, then all its angles will measure 45°.

Aright triangle has an area of 21 m2. the dimensions of the triangle are increased by a scale factor of 4. what is the area of the new triangle