Theoretical probablity=desiredoutcomes/totalpossibleoutcomes
desired=number of white marbles=20
total possible=red+blue+white=30+50+20=100
so theoretical probablity=20/100=2/10=0.2=20%
Answer:
Area of circle is equal A = πr²
Here r = 7.5 and π = 3.142
so,
A = 3.142(7.5)²
A = 176.17 after rounding off.
Answers:
- Lateral Area = No lateral area (choice D)
- Surface Area = 25.97 square inches (choice E)
- Volume = 12.44 cubic inches (choice A)
============================================
Explanation:
Lateral area only applies to prisms and cylinders. Spheres do not have lateral sides, so there is no lateral area.
-----------------------
The radius is 1 & 7/16
Let's convert this to decimal form
1 & 7/16 = 1 + (7/16)
1 & 7/16 = 1 + 0.4375
1 & 7/16 = 1.4375
The radius is r = 1.4375 inches.
-----------------------
SA = Surface area the sphere
SA = 4*pi*r^2
SA = 4*pi*(1.4375)^2
SA = 25.9672267773281
SA = 25.97 square inches (choice E)
-----------------------
V = Volume of the sphere
V = (4/3)*pi*r^3
V = (4/3)*pi*(1.4375)^3
V = 12.4426294974698
V = 12.44 cubic inches (choice A)
Answer: The gradient of the line passing through is 3, thus the equation of the line becomes y=3x-4.
Step-by-step explanation: The parallel lines gradients that have similar gradients, so now we have the gradient of 3 because its similar to the other gradient. To get the equation of the line we use this equation: y=mx+c, we have to substitute the x and y to get the constant c.
5=3(3)+c
c= -4
y=3x+c
