the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;
sample mean = 24
standard deviation, σ = 0.4
sample size , n = 49
the confidence interval for a population mean is calculated using the formula;
sample mean ± z-score*(σ/sqrt(n))
the z-score associated with a 95% confidence interval, from the standard normal tables, is;
1.96
substituting these values into the formula;
24 ± 1.96*(0.4/7)
= 24 ± 0.112
from the alternatives given, choice d is closest to the above expression;
Answer from: Quest
The correct answer is 7
Answer from: Quest
hello from mrbilldoesmath!
answer: (7x + 6y) ( 49x^2 - 42xy + 36y^2)
discussion:
in general, the factorization of a^3 + b^3 is
a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)
in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:
343x^3 + 216y^3 = (7x)^3 + (6y)^3
if you think of a (above) as 7x and b as 6y the factorization becomes
Apicture frame has a perimeter of 100cm it’s width is 4 cm less than twice its length what is the width of the picture frame a) 18 cm b) 32 cm c) 48 cm d) 50 cm
2. write an equation in which the quadratic expression 2x^2-2x-12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.