Amanufacturer of pharmaceutical products analyzes each batch of a product to verify the concentration of the active ingredient. the chemical analysis is not perfectly precise. in fact, repeated measurements follow a normal distribution with mean μ equal to the true concentration and standard deviation σ = 0.0067 grams per liter. three analyses of one batch give concentrations 0.8225, 0.8737, and 0.91 grams per liter.

the mean (±0.0001) of the measurements is .

the 95% confidence interval for μ (±0.0001) is .

2.

a laboratory scale is known to have a standard deviation of σ = 0.00103 grams in repeated weighings. scale readings in repeated weighings are normally distributed, with mean equal to the true weight of the specimen. three weighings of a specimen on the scale give (in grams) 3.414, 3.419, and 3.415.

the 95% confidence interval for the true weight is ± (±0.1).

about 168 miles

step-by-step explanation:

the option best identifies the textual evidence that supports this conclusion is c.) when an argument is over, how many weighty reasons does a man recollect which his heat and violence made him utterly forget? in order to recognize textual evidence is to identify the topic sentence where the author states the main idea. textual evidence is what supports the topic sentence or main idea of a passage.

step-by-step explanation:

one day the were 5 ducks, and their king told them to multiply their kingdom. so each went their own seperate way and met 4 other ducks on their journey.

when the ducks returned to their kingdom, it was discovered that there were 5 groups of 5 ducks. when the kind counted the number of ducks in total (including the ones he sent out earlier) he counted 25.

therefore 5 times 5 is 25.

the end. : )

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6