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3 years ago

Question 5 (1 point) Write an equivalent expression for (m + 4n) - 2.5m

Mathematics

1 answer:

aliina [53]3 years ago

4 0

Answer:

-1.5m + 4n is the equivalent expression

Step-by-step explanation:

To find the equivalent expression, we combine the like terms.

We are given the following expression:

m + 4n - 2.5m

Combining the like terms:

m - 2.5m + 4n

-1.5m + 4n is the equivalent expression

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Assume that power surges occur as a Poisson process with rate 3 per hour. These events cause damage to a computer, thus a specia

lidiya [134]

Answer:

a) 0.30327

b) 0.07582

Step-by-step explanation:

This is a Poisson distribution problem

Poisson distribution probability function is given as

P(X = x) = (e^-λ)(λˣ)/x!

where λ = mean = 3 power surges per hour

x = variable whose probability is required

a) If a single disturbance in 10 minutes will crash the computer, what is the probability of the computer crashing, that is probability of a single disturbance (power surge) in 10 minutes?

λ = 3 disturbances per hour = 1 disturbance per 20 minutes = 0.5 disturbance per 10 minutes.

P(X = x) = (e^-λ)(λˣ)/x!

λ = 0.5 disturbance per 10 minutes

x = 1 disturbance per 10 minutes

P(X = 1) = (e^-0.5)(0.5¹)/1! = (e⁻⁰•⁵)(0.5)/1!

= 0.30327

b) If two disturbances in 10 minutes will crash the computer, what is the probability of the computer crashing, that is probability of two disturbances (power surges) in 10 minutes?

λ = 3 disturbances per hour = 1 disturbance per 20 minutes = 0.5 disturbance per 10 minutes.

P(X = x) = (e^-λ)(λˣ)/x!

λ = 0.5 disturbance per 10 minutes

x = 2 disturbance per 10 minutes

P(X = 2) = (e^-0.5)(0.5²)/2! = (e⁻⁰•⁵)(0.25)/2!

= 0.07582

Hope this Helps!!!

3 0

3 years ago

What is the sum of 3 sixteen and 2 nines

Mama L [17]

16+16+16+9+9=32+16+9+9=48+9+9=57+9=66

The answer is 66

5 0

3 years ago

Read 2 more answers

A movie theater charges $9.50 for adults and $4.50 for children. For a recent showing of a movie, the theater sold 33 tickets an

choli [55]

Answer:

The number of children's tickets sold was 31 and the number of adult tickets sold was 2

Step-by-step explanation:

Let

x ---> the number of children's tickets sold

y ---> the number of adult tickets sold

we know that

the theater sold 33 tickets

$x+y=33$ -----> equation A

the theater made a total of $158.50

$4.50x+9.50y=158.50$ ----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (31,2)

see the attached figure

therefore

The number of children's tickets sold was 31 and the number of adult tickets sold was 2

5 0

3 years ago

−3xy ^5 (8y) Simplified

german

-24xy^6 is that simplified

4 0

3 years ago

Is it possible for two numbers to have a difference of 8 and a sum of 1?

topjm [15]

Answer: yes , it is possible

Step-by-step explanation:

Let the first number be x and the second number be y .Then , the sum of the two numbers will be x + y , and their difference will be x - y.

Combining the two , we have :

x + y = 1 ............................... equation 1

x - y = 8 ................................. equation 2

solving the system of linear equation by substitution method. From equation 1 , make x the subject of the formula ,

x = 1 - y ...................... equation 3

Substitute equation 3 into equation 2 ,

1 - y - y = 8

1 - 2y = 8

add 2y to both sides

1 = 8 + 2y

subtract 8 from both sides

1 - 8 = 2y

- 7 = 2y

divide through by 2

y = $\frac{-7}{2}$

y = - 3.5

substitute y = -3.5 into equation 3 to find the value of x , we have

x = 1 - y

x = 1 - ( - 3.5 )

x = 1 + 3.5

x = 4.5

Let us check :

x + y will be

4.5 + (-3.5) = 1

Also ,

x - y will be

4.5 - (-3.5)

⇒ 4.5 + 3.5 = 8

7 0

3 years ago