The piston diameter of a certain hand pump is 0.3 inch. the manager determines that the diameters are normally distributed, with a mean of 0.3 inch and a standard deviation of 0.004 inch. after recalibrating the production machine, the manager randomly selects 23 pistons and determines that the standard deviation is 0.0029 inch. is there significant evidence for the manager to conclude that the standard deviation has decreased at the alpha equals 0.05 level of significance? what are the correct hypotheses for this test? the null hypothesis is h0: sigma equals 0.004. the alternative hypothesis is h1: sigma less than 0.004. calculate the value of the test statistic. chi subscript superscript 2equals nothing (round to three decimal places as needed.)

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

pls mark as brainliest.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.