Answer: z = -3 , y = 2 , x = 2
Step-by-step explanation:
1. C:arithmetic, 34, 39, 44
2. B: geometric, -64, 128, -256
3. C: geometric, 1, 1/3, 1/9
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:
.9 or 90%
.1 or 10%
Step-by-step explanation:
E= Exam
P=Paper
E= .71
P= .45
E∩P=.26
A.) E∪P=?
E∪P= E+P-E∩P
.71+.45-.26= .9
B.) E'∩P' = (E∪P)'
(E∪P)' = 1-.9 = .1
9514 1404 393
Answer:
Step-by-step explanation:
The lateral surface area is the product of half the circumference, and the slant height:
LA = πrh = π(11.4 cm)(23 cm) = 262.2π cm²
The total surface area adds the area of the base to that:
A = πr² +LA = π(11.4 cm)² +262.2π cm² = (129.96 +262.2)π cm²
A = 392.16π cm²