Answer:
x= 16±√-64 over 2
Step-by-step explanation:
x= -(-16)±√(-16)²-4×1×80 over 2×1
x= 16±√256-320 over 2
x= 16±√-64 over 2
can also be represented with all real numbers.
Answer:
auto correlation is the answer to the question
Simply simplify the ratios/fractions into their simplest fraction form and divide the numerator by the denominator. If they are equal, they are in fact proportions, if not, they aren't
Answer:
C. Jared is not correct because the cone and the cylinder have the same base and height so the cone holds 4,712/3≈1,571 centimeters cubed of sand.
Step-by-step explanation:
We have a cone and a cylinder with the same base and height.
We can express the volume of the cylinder as:
being r the radius and H the height.
The volume of the cone can be written as:
As they have the same base and height, we know that the volume of the cylinder is 3 times the volume of the cone.
If the volume of the cylinder is 4,712 cm^3, then the volume of the cone is:
Answer:
P(A∪B)=17/20 or 0.85
P(A∪B')=2/5 or 0.4
P(A'∪B')=4/5 or 0.8
Step-by-step explanation:
There are four font colors so each color had equal chance and thus,
P(A)=1/4
There are 5 font sizes and so not the smallest fonts are 4.Thus,
P(B)=4/5
P(A∪B)=P(A)+P(B)-P(A∩B)
The design is generated randomly so event A and event B are independent.
P(A∩B)=P(A)*P(B)
P(A∩B)=1/4(4/5)=1/5
P(A∪B)=P(A)+P(B)-P(A∩B)
P(A∪B)=1/4+4/5-1/5=1/4+3/5
P(A∪B)=17/20 or 0.85
P(A∪B')=P(A)+P(B')-P(A∩B')
P(B')=1-P(B)=1-4/5=1/5
P(A∩B')=P(A)*P(B')=1/4*1/5=1/20
P(A∪B')=P(A)+P(B')-P(A∩B')
P(A∪B')=1/4+1/5-1/20=9/20-1/20=8/20
P(A∪B')=2/5 or 0.4
P(A'∪B')=P(A∩B)'
P(A'∪B')=1-P(A∩B)
P(A'∪B')=1-1/5=4/5
P(A'∪B')=4/5 or 0.8
