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lorasvet [3.4K]
3 years ago
7

What is 45=m(25)+b solving for m

Mathematics
1 answer:
STatiana [176]3 years ago
7 0

Answer:

\frac{45-b}{25}

Step-by-step explanation:

given

45 = 25m + b ( isolate the term in m by subtracting b from both sides )

45 - b = 25m ← divide both sides by 25

\frac{45-b}{25} = m

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What is the probability of these events when we randomly select a permutation of {1,2, ..., n} where n≥4? a) 1 precedes 2 c) 1 i
Paraphin [41]

Answer:

a) 1/2

b) 1/n

c) 1/4

Step-by-step explanation:

a) For each permutation, either 1 precedes 2 or 2 precedes 1. For each permutation in which 1 precedes 2, we can swap 1 and 2 to obtain a permutation in which 2 preceds 1. Thus, half of the total permutations will involve in 1 preceding 2, hence, the probability for a permutation having 1 before 2 is 1/2.

c) If 2 is at the start of the permutation, then it is impossible for 1 to be before 2. If that is not the case, then 1 has a probability of 1/n-1 to be exactly in the position before 2. We can divide in 2 cases using the theorem of total probability,

P( 1 immediately preceds 2) = P (1 immediately precedes 2 | 2 is at position 1) * P(2 is at position 1) + P(1 immediately precedes 2 | 2 is not at position 1) * P(2 is not at position 1) = 0 * 1/n + (1/n-1)*(n-1/n) = 1/n.

d) We can divide the total of permutations in 4 different groups with equal cardinality:

  • Those in which n precedes 1 and n-1 precedes 2
  • those in which n precedes 1 and 2 precedes n-1
  • those in which 1 precedes n and n-1 precedes 2
  • those in which 1 precedes n and 2 precedes n-1

All this groups have equal cardinality because we can obtain any element from one group from another by making a permutations between 1 and n and/or 2 and n-1.

This means that the total amount of favourable cases (elements of the first group) are a quarter of the total, hence, the probability of the event is 1/4.

3 0
3 years ago
Is the U.S. ever on sale to canadians?
Goshia [24]

Answer:

No because Us is powerful country canada is also powerful but U S ever sale to candians

7 0
1 year ago
The length of a rectangle is the width minus 3 units. The area of the rectangle is 40 units. What is the width, in units, of the
Eva8 [605]

The width of rectangle is 8 units.

Step-by-step explanation:

Given,

Area of rectangle = 40 units

Width = w

Length = w-3

Area = Length * Width

40=(w-3)*w\\40=w^2-3w\\w^2-3w=40\\w^2-3w-40=0

Factorizing the equation

w^2-8w+5w-40=0\\w(w-8)+5(w-8)=0\\(w-8)(w+5)=0

Either,

w-8=0         => w=8

Or,

w+5=0        =>w= -5

As width cannot be negative, therefore

Width of rectangle = 8 units

The width of rectangle is 8 units.

Keywords: area, rectangle

Learn more about rectangles at:

  • brainly.com/question/10538663
  • brainly.com/question/10557275

#LearnwithBrainly

6 0
3 years ago
Beth writes a number that shows 60 parts out of 100
dangina [55]

Answer:

60/100               orrrrrrrrrrrrrrrr 6/10

Step-by-step explanation:

4 0
2 years ago
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You deposit $3000 in a savings account that earns 2.9% annual interest compounded monthly. You also save $80 per month in a safe
Jlenok [28]

Answer:

C(t)=3000(1.002417)^12t+960t

if T=1 year then the saving will be : 4048.17

Step-by-step explanation:

3000 deposit amount, 2.9 compound monthly interest .  save 80 dollars  per month at home .

A=p(1+r)^t

A=3000(1+0.029/12)^12t

A=3000(1.002417)^12t dollars

for the amount saved at home=80*12t=960t dollars

C(t)=3000(1.002417)^12t+960t

if T=1 year then the saving will be :

C(t)=3000(1.002417)^12t+960t

     =3088.17+960= 4048.17 dollars

7 0
3 years ago
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