Multiplicity is hoa many times it repeats
example
if you have roots, r1 multiplicity 2 and r2 multiliicty 3 the factors are
f(x)=(x-r1)^2(x-r2)^3
so
multiplicty 2 at x=4
multilicty 1 at x=-2
(x-4)^2(x-(-2))^1=
(x-4)^2(x+2))
expand
x^3-6x^2+32
remember
for roots, r1 and r2
(x-r1)(x-r2)
the roots don't change if you multiply whold thing by a unless a=0
so
the yint is where x=0
so the yint now is 32
32 times what=-9.6?
divide both sides by 32
what=-0.3
the polynomial is
p(x)=-0.3(x-4)²(x+2)
expanded is
p(x)=-0.3x³+1.8x²-9.6
3.5x3-3.5 equals 7 if this is wrong I am very sorry
Answer:
95% confidence interval for the population variance is (2.89, 5.11)
Step-by-step explanation:
Confidence Interval (CI) = variance + or - (t×s)/√n
Standard deviation (s) = 2, variance (s^2) = 2^2 = 4, n = 15, degree of freedom = n - 1 = 15 - 1 = 14
t-value corresponding to 14 degrees of freedom and 95% confidence interval is 2.145
Lower bound = variance - (t×s)/√n = 4 - (2.145×2)/√15 = 4 - 1.11 = 2.89
Upper bound = variance + (t×s)/√n = 4 + (2.145×2)/√15 = 4 + 1.11 = 5.11
95% confidence interval is (2.89, 5.11)
Area is found by taking the length time width or A=lw
240=L x 15 divide both sides by 15
Length = 16 meters
Answer:
The answer is 82 unit total
Step-by-step explanation:
You can take the entire shape and break it down to normal shapes such as squares and triangles. Then you can use the formula of these shapes to find the area. Last you add all the unit together and that's the answer