Answer:
360
Step-by-step explanation:
You will need 2 * 2 * 2 for the smallest number to be divisible by 8 with all the others.
You will need 3 * 3 for the smallest number to be divisible by 9 with all the others.
Finally you will need 1 five
The smallest number divisible by all of these is 2*2*2*3*3*5 = 360
- 360/2 = 180 works
- 360/3 = 120 works
- 360/5 = 72 works
- 360/6 = 60 works
- 360/8 = 45 works
- 360/9 = 40 works.
There is no smaller number below 360 which will work.
<span>(7y2 + 6xy) – (–2xy + 3)
7y^2 + 6xy +2xy +3
7y^2 +8xy +3
8xy + 7y^2 +3</span>
Conditional probability formula is:P ( A and B ) = P ( A ) · P ( B / A )0.46 = P ( A ) · 0.31P ( A ) = 0.46 : 0.31P ( A ) = 1.48And this is impossible because 0 ≤ P ( A ) ≤ 1The student obviously made a mistake.
Answer:
a) R(r) = kr⁴
b) R(r) = 1.5625 r⁴
c) R = 126.56 cm³/s when r = 3 cm
Step-by-step explanation:
Rate of flow of a gas through a cylindrical pipe = R
radius of the pipe = r
a) R ∝r⁴
R(r) = kr⁴ where k is the proportionality constant.
R(r) means R is a function of r.
b) R(r) = kr⁴
R = 400 cm³/s, r = 4 cm
400 = k × 4⁴
k = 400/4⁴ = 400/256 = 1.5625 (cm.s)⁻¹
R(r) = 1.5625 r⁴
c) R(r) = 1.5625 r⁴
R = ?
r = 3 cm
R = 1.5625 × 3⁴ = 126.5625 cm³/s = 126.56 cm³/s
Answer:
(a) PC(C)= 
(b) E[C] = 24 cents
Step-by-step explanation:
Given:
Cost to receive a photo = 20 cents
Cost to send a photo = 30 cents
Probability of receiving a photo = 0.6
Probability of sending a photo = 0.4
We need to find
(a) PC(c)
(b) E[C]
Solution:
(a)
PC(C)= 
(b)
Expected value can be calculated by multiplying probability with cost.
E[C] = Probability × cost
E[C] = 
