Find the missing terms in the<br>sequence 27, ? , 23, ? , 19,...<br>good luck

Occasionally an airline will lose a bag. Suppose a small airline has found it can reasonably model the number of bags lost each

julia-pushkina [17]

Answer:

a) The probability that the airline will lose no bags next monday is 0.1108

b) The probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227

c) I would recommend taking a Poisson model with mean 4.4 instead of a Poisson model with mean 2.2

Step-by-step explanation:

The probability mass function of X, for which we denote the amount of bags lost next monday is given by this formula

$P(X=k) = \frac{e^{-2.2} * {2.2}^k }{k!}$

a)

$P(X=0) = \frac{e^{-2.2} * {2.2}^0 }{0!} = 0.1108$

The probability that the airline will lose no bags next monday is 0.1108.

b) Note that $P(X \in \{0,1,2\} = P(X=0) + P(X=1) + P(X=2)$ . And

$P(X=0)+P(X=1)+P(X=2) = e^{-2.2} * (1 + 2.2 + 2.2^2/2) = 0.6227$

Therefore, the probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227.

c) If the double of flights are taken, then you at least should expect to loose a similar proportion in bags, because you will have more chances for a bag to be lost. WIth this in mind, we can correctly think that the average amount of bags that will be lost each day will double. Thus, i would double the mean of the Poisson model, in other words, i would take a Poisson model with mean 4.4, instead of 2.2.

6 0

3 years ago

Which of the following is equivalent to –2i(6 – 7i)? (0 – 2i)(6 – 7i) (0 + 2i)(6 – 7i) (–2 + i)(6 – 7i) (6 – 2i) – (7i – 2i)

Mariulka [41]

Answer:

The expression which is equivalent to –2i(6 – 7i) is; (0 – 2i)(6 – 7i)

4 0

2 years ago

Determine whether the point (2, 2) is a solution to the system of equations. Explain your reasoning in complete sentences. Prove

goblinko [34]

Answer:

(0,2) is the solution of the given functions.

Step-by-step explanation:

We have been given two functions f(x)=|x-1|+1 and g(x)=3x+2

To find the solution of the two functions mathematically, we will equate the given functions:

3x+2=|x-1|+1

3x+1=|x-1|

When we will open the modulus function we will have two values +, -

In positive case:

3x+1 =x-1

2x=-2

x=-1

Now, substitute x=-1 in g(x)=3x+2 we get

g(-1)=3(-1)+2=-1

Hence, (-1,-1) is the solution of the given functions.

In negative case:

Now, 3x+1=-(x-1)

3x+1=-x+1

4x=0

x=0

Now, put x=0 in g(x)=3x+2 we get

g(0)=3(0)+2=2

We have another solution: (0,2)

The point (2,2) is not the solution.

And graphically, the solution of two functions is their intersection point which is (0,2)

Hence, (0,2) is the solution of the function.

6 0

3 years ago

Slope: -3/5;y-intercept: -1/5

astraxan [27]

Answer:

y= -3/5x - 1/5

Step-by-step explanation:

The slope formula:

y=mx+b

m = slope, which is -3/5 in your case

b= your y-intercept, which is -1/5 in your case

Simply plug it in and you get your answer.

6 0

2 years ago

A triangle has perimeter 59 cm. The lengths of the sides are 2x – 5 cm, 3x + 2 cm and 2x – 1 cm.

Dennis_Churaev [7]

Answer:2x - 5cm + 3x +2cm + 2x - 1cm=59cm

2x + 3x + 2x + 2cm + 1cm - 5cm=59cm

7x - 2cm=59cm

7x - 2cm + 2cm=59cm + 2cm

7x=61cm

X=8 5/7cm

Step-by-step explanation:

4 0

2 years ago

Find the missing terms in thesequence 27, ? , 23, ? , 19,...good luck​

Find the missing terms in thesequence 27, ? , 23, ? , 19,...good luck