you first use distributive property for the multiplication
[(2*4x)-(2*11)]+9=19
8x-22+9=19
Then, you need to leave the variable alone moving all the other numbers with the opposite operation (addition to substraction, substraction to addition, multiplication to division, division to multiplication)
8x=19+22-9
8x=(19+22)-9
8x=41-9
8x=32
Then as 8 and x are multiplying you pass it dividing
x=32/8
x=4
Answer:
a) 0.82
b) 0.18
Step-by-step explanation:
We are given that
P(F)=0.69
P(R)=0.42
P(F and R)=0.29.
a)
P(course has a final exam or a research paper)=P(F or R)=?
P(F or R)=P(F)+P(R)- P(F and R)
P(F or R)=0.69+0.42-0.29
P(F or R)=1.11-0.29
P(F or R)=0.82.
Thus, the the probability that a course has a final exam or a research paper is 0.82.
b)
P( NEITHER of two requirements)=P(F' and R')=?
According to De Morgan's law
P(A' and B')=[P(A or B)]'
P(A' and B')=1-P(A or B)
P(A' and B')=1-0.82
P(A' and B')=0.18
Thus, the probability that a course has NEITHER of these two requirements is 0.18.
Answer:
b
Step-by-step explanation:
The volume of a sphere = 4πr^3/3<span>
The volume of a half of sphere = 2</span>πr^3/3 = 2 π (27)/3 = 18π<span>
</span>The volume of a cone= π r^2 h/3 = π (9)(8)/ 3 = 24 π
Total volume = 18 π + 24π = 42π = 42 x 3.14 = 131.9 cm^3
Calculate mean:
4+3+4+5+6+6+8+4=40
40/8=5
Calculate MAD:
1+2+1+0+1+1+3+1=10
10/8= 1.25
Final answer: 1.25
