A machine dispenses a liquid drug into bottles in such a way that the standard deviation of te contents is 81 milliliters. A new machine is tested on a sample of 24 containers and the
standard deviation for this sample group is found to be 26 milliliters. At the 0.05 level of
significance, test the claim that the amounts dispensed by the new machine have a smaller
standard deviation.
Select the correct test statistic and conclusion based on the null hypothesis.
Test statistic: x2 = 2.370. Fail to reject the null hypothesis.
Test statistic: x2 = 8.367. Reject the null hypothesis.
Test statistic: x2 = 2.370. Reject the null hypothesis.
Test statistic: x2 = 3.581. Fail to reject the null hypothesis.

15 batches are the most you can make

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

chemists are often responsible for designing a chemical reaction and analyzing the products obtained from it. one significant part of designing a chemical reaction is determining the amount of each reactant that is needed and the amount of each product that will be produced. in order to do so, chemists use stoichiometry, the quantitative relationships between reactants and products.