Answer:
c. 25
Step-by-step explanation:
BOTH SIDES HAVE X SO YOU PUT THEM IN A 1 EQUATION WAY AND SOLVE X:
4X+1=2X+23
4X-2X=23-1
2X=32
X= 32/2=11
THEN YOU GO TO THE BASE AND CHANGE X AND SOLVE THE EQUATION WITH X=11
3x11-8
33-8= 25=BASE
Function is p(x)=(x-4)^5(x^2-16)(x^2-5x+4)(x^3-64)
first factor into (x-r1)(x-r2)... form
p(x)=(x-4)^5(x-4)(x+4)(x-4)(x-1)(x-4)(x^2+4x+16)
group the like ones
p(x)=(x-4)^8(x+4)^1(x-1)^1(x^2+4x+16)
multiplicity is how many times the root repeats in the function
for a root r₁, the root r₁ multiplicity 1 would be (x-r₁)^1, multility 2 would be (x-r₁)^2
so
p(x)=(x-4)^8(x+4)^1(x-1)^1(x^2+4x+16)
(x-4)^8 is the root 4, it has multiplicity 8
(x-(-4))^1 is the root -4 and has multiplicity 1
(x-1)^1 is the root 1 and has multiplity 1
(x^2+4x+16) is not on the real plane, but the roots are -2+2i√3 and -2-2i√3, each multiplicity 1 (but don't count them because they aren't real
baseically
(x-4)^8 is the root 4, it has multiplicity 8
(x-(-4))^1 is the root -4 and has multiplicity 1
(x-1)^1 is the root 1 and has multiplity 1
a is the answer to the problum !
Answer:
a. The probability of taking out a purple flower is 0.47.
b. The probability that out of a sample of 5 flowers at least 3 flowers are yellow 0.56.
c. The standard deviation of the distribution for proportion of yellow flowers is 0.22.
d. The probability that out of the 263 samples, at most 150 of them are yellow is 0.90.
Step-by-step explanation:
