I think this is the correct answer: * Zc x (sigma/sqrt of n)
c= .95 (Zc of 1.96)
0.711*
Since one pound is 16 ounces, it would cost .3*16, or $4.80 to buy one pound of peanuts. $5 is enough and there would be $0.20 left over.
Answer:
The polynomial with real coefficients having zeros 2 and 2 - 2i is
x³ - 6x² + 16x - 16 = 0
Step-by-step explanation:
Given that a polynomial has zeros at 2 and 2 - 2i, we want to write this polynomial.
We have
x - 2 = 0
x - (2 - 2i) = 0
=> x - 2 + 2i = 0
Since the polynomial has real coefficients, and 2 - 2i is a zero of the polynomial, the conjugate of 2 - 2i, which is 2 + 2i is also a polynomial.
x - (2 + 2i) = 0
=> x - 2 - 2i = 0
Now,
P(x) = (x - 2)(x - 2 + 2i)(x - 2 - 2i) = 0
= (x - 2)((x - 2)² - (2i)²) = 0
= (x - 2)(x² - 4x + 8) = 0
= x³ - 4x² + 8x - 2x² + 8x - 16 = 0
= x³ - 6x² + 16x - 16 = 0
This is the polynomial required.
Side angle side triangle congruence theorem is correct
Answer: volume = 4275π m³
Step-by-step explanation:
The composite figure shown in the diagram is made up of a hemisphere at the top and a cone at the bottom.
Therefore,
Volume = volume of hemisphere + volume of cone.
The formula for determining the volume of a hemisphere is expressed as
Volume = 2/3πr³
Diameter of hemisphere = 30m
Radius = diameter/2 = 30/2 = 15m
Volume of hemisphere = 2/3 × π × 15³ = 2250πm³
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
h = height of cone = 33m
r = 15 m
Volume = 1/3 × π × 15² × 33
Volume = 2475π m³
Volume of the composite figure is
2250π + 2475π = 4275π m³