Answer:
1.) 256 miles
2.) 2 1/2 ( 2.5 ) pages a day
Step-by-step explanation:
1.) ( 256 * 2.4 = 640 )
2.) 250 / 20 = 2.5
Answer:
The relationship between the angles is alternate exterior angles.
Step-by-step explanation:
Exterior means outside.
Alternate means every other or in this case across form each other.
These angles represent alternate exterior angles because they are on the outside of the transversal and they are alternating each other.
Answer:
See below.
Step-by-step explanation:
Multiplying terms with exponents make the exponents add together.
13.) x² · x⁵ = x⁷
14.) b⁵ · b³ = b⁸
15.) y⁴ · y⁷ = y¹¹
16.) m⁴ · m¹ = m⁵
Answer:
a. The probability that a customer purchase none of these items is 0.49
b. The probability that a customer purchase exactly 1 of these items would be of 0.28
Step-by-step explanation:
a. In order to calculate the probability that a customer purchase none of these items we would have to make the following:
let A represents suit
B represents shirt
C represents tie
P(A) = 0.22
P(B) = 0.30
P(C) = 0.28
P(A∩B) = 0.11
P(C∩B) = 0.10
P(A∩C) = 0.14
P(A∩B∩C) = 0.06
Therefore, the probability that a customer purchase none of these items we would have to calculate the following:
1 - P(A∪B∪C)
P(A∪B∪C) =P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C)
= 0.22+0.28+0.30-0.11-0.10-0.14+0.06
= 0.51
Hence, 1 - P(A∪B∪C) = 1-0.51 = 0.49
The probability that a customer purchase none of these items is 0.49
b.To calculate the probability that a customer purchase exactly 1 of these items we would have to make the following calculation:
= P(A∪B∪C) - ( P(A∩B) +P(C∩B) +P(A∩C) - 2 P(A ∩ B ∩ C))
=0.51 -0.23 = 0.28
The probability that a customer purchase exactly 1 of these items would be of 0.28
Answer:
Forces in our Universe
Step-by-step explanation:
a)
First of all we have,
and,
We need to define a function that allows us to find said change based on r, so one of the functions that shows that change is,
That is,
For this case F is a conservative field and the line integral is independent of the path. Thus, defining 
and 
. So the amount of work on the movement of the object from P1 to P2 is,
2) The gravitational force field is given by,
The maximum distance from the earth to the sun is 
km and the minimum distance is 
km. The mass values of the bodies are given by m = 
kg, M = 
kg and the constant G is 
In this way we raise the problem like this,
