Answer:
Step-by-step explanation:
Given that you have eight cards. Five are green and three are yellow. The five green cards are numbered 1, 2, 3, 4, and 5. The three yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card.
G = card drawn is green
Y = card drawn is yellow
E = card drawn is even-numbered
List:
Sample space = {G1, G2, G3, G4, G5, Y1, Y2, Y3}
2) P(G) = 5/8
3) P(G/E) = P(GE)/P(E)
GE = {G2, G4}
Hence P(G/E) = 2/5
4) GE = {G2, G4}
P(GE) = 2/8 = 1/4
5) P(G or E) = P(G)+P(E)-P(GE)
= 5/8 + 3/8-2/8 = 3/5
6) No there is common element as G2 and G4
Cannot be mutually exclusive
Answer:
Volume = 128
Surface area = 179.2
Step-by-step explanation:
The figure appears to be a square pyramid
The volume of a pyramid can be calculated using the formula : a²(h/3)
where a = base length and h = height
Here the base length appears to be 8 and the height appears to be 6
So we have V = a²(h/3) and a = 8 and h = 6
==> plug in values
V = 8²(6/3)
==> evaluate exponent
V = 64(6/3)
==> divide 6 by 3
V = 64(2)
==> multiply 64 and 2
V = 128
Formula for surface area of a square pyramid is SA = a² + 2al
where a = base length and l = slant height
Looking at the pyramid the slant height appears to be 7.2 and the base length is 8
so we have SA = a² + 2al and a = 8 and l = 7.2
==> plug in values
SA = 8² + 2(8)(7.2)
==> evaluate exponent
SA = 64 + 2(8)(7.2)
==> multiply 2, 8 and 7.2
SA = 64 + 115.2
==> add 64 and 115.2
SA = 179.2
Answer:
Infinitely many.
Step-by-step explanation:
There are infinite points on the line.
Answer:
cluster
Step-by-step explanation:
Answer:
Liliana can raise 35 zombie soldiers
Step-by-step explanation:
Hello, I can help you with this
to solve this kind of question you can use a rule of three , that is a proportion
Step 1
define
Liliana used 4 dark power crystals to raise 14 zombie soldiers.
4 power crystals⇔
then, How many(x) zombie soldiers can Liliana raise with 10 power crystals?
10 power crystals=x zombie soldiers
Step 2
do the relation and solve for x , the proportion is
Liliana can raise 35 zombie soldiers
Have a great day.