Market research indicates that a new product has the potential to make the company an additional $1.6 million, with a standard deviation of $2.5 million. If these estimates were based on a sample of 12 customers from a normally distributed data set, what would be the 95% confidence interval

(0.01, 3.19)

Step-by-step explanation:

Given that :

Mean (m) = 1.6 million

Standard deviation (s) = 2.5 million

α = 0.05

Sample size (n) = 12

Confidence interval :

m ± t(α, df = n - 1) * standard error

Standard Error = s/√n = 2.5 / √12 = 0.7216878

t0.05,11 = 2.200985 (t value calculator)

Hence,

1.6 ± 2.200985(0.7216878)

Lower bound /

1.6 - 2.200985(0.7216878) = 0.011575977517

Upper bound:

1.6 + 2.200985(0.7216878) = 3.188424022483

(0.01, 3.19)

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.