Answer:
The answer to your question is below
Step-by-step explanation:
Data
Volume = 24 in³
Process
1.- Find the prime factors of 24
24 2
12 2
6 2
3 3
1
2.- Volume of a rectangular package
Volume = length x height x width
3.- Possible values are, combine the prime factors to find the volume
Volume = 4 x 2 x 3 or
Volume = 2 x 4 x 3
Volume = 3 x 2 x 4
Volume = 2 x 2 x 6
Volume = 6 x 2 x 2
Volume = 2 x 6 x 2
Volume = 12 x 2 x 1
Volume = 1 x 12 x 2
Volume = 2 x 1 x 12
9514 1404 393
Answer:
y = 3.02x^3 -5.36x^2 +5.68x +8.66
Step-by-step explanation:
Your graphing calculator (or other regression tool) can solve this about as quickly as you can enter the numbers. If you have a number of regression formulas to work out, it is a good idea to become familiar with at least one tool for doing so.
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If you're trying to do this by hand, the x- and y-values give you 4 equations in the 4 unknown coefficients.
a·1^3 +b·1^2 +c·1 +d = 12
a·3^3 +b·3^2 +c·3 +d = 59
a·6^3 +b·6^2 +c·6 +d = 502
a·8^3 +b·8^2 +c·8 +d = 1257
Solving this by elimination, substitution, or matrix methods is tedious, but not impossible. Calculators and web sites can help. The solutions are a = 317/105, b = -75/14, c = 1193/210, d = 303/35. Approximations to these values are shown above.
Answer:
B
Step-by-step explanation:
The recommended sample size n for point estimates is:
n = NX / (N + X - 1)
where N is the population size, and X is defined as:
X = Z² p (1 - p) / E²
where Z is the critical value, p is the sample proportion, and E is the margin of error.
Assume a confidence level of level of 95% and a margin of error of 5%.
α = 0.05, Z(α/2) = 1.96
E = 0.05
Of the 40 units tested, 2 had lifespans less than 26 days. So the proportion is:
p = 2/40 = 0.05
Therefore:
X = (1.96)² (0.05) (1 - 0.05) / (0.05)²
X = 73
Given N = 2000:
n = (2000) (73) / (2000 + 73 - 1)
n = 70.45
Rounding, the recommended sample size is 70.
D
Step-by-step explanation:
2/6 is litterally right there cause it has seven lines and tge 0 doesnt count
