Answer:
(a) center: (0, 0); radius: 4
(b) center: (8, -3); radius: 10
(c) center: (-2, -7); radius: 7
(d) center: (6, 0); radius: 1
(e) center: (0, 0); radius: 5
(f) center: (3, 8); radius: 8
Step-by-step explanation:
In the figure attached, the complete question is shown.
Equation of a circle with center (h, k) and radius r:
(x - h)² + (y - k)² = r²
This is the concept of rates, we are required to convert on rate to another. The We have been given a car that is speeding at 9595 mph, we are required to convert this to meters per minute;
Here we proceed as follows;
1 mile= 1609.34 miles/hour
1 hour= 60 min
thus to convert from miles per hour to meters per minute we shall have:
speed=distance/time
our distance will be:
distance=9595*1609.34=15,441,617.3 meters
time=(60*1)=60 minutes
thus;
speed=15,441,617.3/60
speed=257,360.2882 meters per minuts
Answer:
Step-by-step explanation:
I'd assume this is a dice? Please give more information.
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
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