Please help i would really appreciate it!

Answer:

a) [tex]\pi(0)=\frac{1}{3}[/tex]

b) [tex]X=\frac{2}{3}[/tex]

Step-by-step explanation:

From the question we are told that:

Arrival time with Poisson's process =[tex]t_p=2-3minutes[/tex]

where

[tex]\lambda_1=2\\\lambda_2=3[/tex]

a)

Generally the equation Poisson's process is mathematically given by

[tex]\pi()n*\lambda_1=\pi(n+1*) \lambda_2[/tex]

[tex]\pi()n*2=\pi(n+1*)*3[/tex]

[tex]\pi(n+1)=\frac{2}{3} \pi+1*\pi(0)[/tex]

Therefore

[tex]\pi(0)(1+2/3+(2/3)^2+...)=1[/tex]

[tex]\pi(0)=\frac{1}{3}[/tex]

The proportion of arriving customers that get taxis.

[tex]\pi(0)=\frac{1}{3}[/tex]

b)

Generally the  average number of taxis X waiting is mathematically given by

[tex]X=1-\pi(0)\\X=1-(1/3)[/tex]

[tex]X=\frac{2}{3}[/tex]

Answer:

(5.240 ; 8.760)

Step-by-step explanation:

Given :

Sample mean, xbar = 7

Standard deviation, s = 2.29

Sample size, n = 9

95% confidence interval for the population mean :

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Tcritical at 0.05 ; df = 8 = 2.306

Margin of Error = 2.306 * 2.29/sqrt(9)

Margin of Error = 1.760

Lower boundary = (7 - 1.760) = 5.240

Upper boundary = (7 + 1.760) = 8.760

(5.240 ; 8.760)

Answer:

[tex]x=-4+\sqrt{2}[/tex]

[tex]x=-4-\sqrt{2}[/tex]

Step-by-step explanation:

The quadratic formula is an equation that can be used to find the roots of a quadratic equation when one is given the equation in standard form. A quadratic equation in standard form is the following,

[tex]ax^2 +bx + c=0[/tex]

The quadratic formula is the following,

[tex]\frac{(-a)(+-)\sqrt{(x)^2-4(b)(c)}}{2(a)}[/tex]

Substitute in the given coefficients for the following equation,

[tex]2x^2 + 16x + 28 = 0[/tex]

Substitute,

[tex]\frac{-16(+-)\sqrt{(16)^2-4(2)(8)}}{2(2)}[/tex]

Simplify,

[tex]\frac{-16(+-)\sqrt{256-224}}{4}\\\\=\frac{-16(+-)\sqrt{32}}{4}\\\\=\frac{-16(+-)4\sqrt{2}}{4}\\\\=-4(+-)\sqrt{2}[/tex]

The roots of the quadratic equation ([tex]2x^2+16x+28=0[/tex]) are  ([tex]x=-4+\sqrt2[/tex]) and ([tex]x=-4-\sqrt{2}[/tex])

Answer:

7.5

Step-by-step explanation:

Answer:

1. [tex]750(0.041) = $30.75[/tex]

2. [tex]90.75 - 55 = 35.75\\\frac{35.75}{55} = 0.65\\[/tex]   65%

3. [tex]13(1.06) = 13.78[/tex]

Please remember to brainlist this answer

Answer:

give them brainliest

Step-by-step explanation:

Answer:

GA=17

Step-by-step explanation:

As A, B, C are the midpoints of the sides of AGHJ,

so GH= 2(CB)

⇒7z-1= 2(4z-3)

⇒7z-1= 8z-6

⇒7z-8z= -6+1

⇒-7= -5

z=5

so GA=CB

⇒GA= 4(5)-3= 17

hope it helps...

have a great day

The value of the variable 'z' is 5. Then the length of GA will be 17 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Use △GHJ, where A, B, and C are midpoints of the sides. When GH = 7z − 1 and CB = 4z − 3.

From the graph, then the condition is given as,

GH = 2 × BC

7z - 1 = 2 × (4z - 3)

Simplify the equation, then we have

7z - 1 = 2 × (4z - 3)

7z - 1 = 8z - 6

6 - 1 = 8z - 7z

z = 5

Then the length of the GA is given as,

GA = BC

GA = 4z - 3

GA = 4 (5) - 3

GA = 20 - 3

GA = 17 units

The value of the variable 'z' is 5. Then the length of GA will be 17 units.

More about the triangle link is given below.

https://brainly.com/question/25813512

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Answer:

1375

Step-by-step explanation:

We can just follow what it says.

16 times 3 times 29 = 1392

1392 - 17 = 1375

Answer:

-3/19

Step-by-step explanation:

Given data

We have the coordinates

(12, 2), (-7,5)

x1=12

y1=2

x2=-7

y2=5

The expression for the slope is given as

Slope= y2-y1/x2-x1

Substiute

Slope=  5-2/-7-12

Slope= 3/-19

Hence the slope is -3/19

Answer:

D. 10m

Step-by-step explanation:

I hope you trust me

Answer:

lim as x---->0 of (x²-5) = -5 which is D

Answer:

4 is the answer =)

Answer:

16.5

Step-by-step explanation:

(18-7) = 11

11 x 3 = 33

33 divided by 2 = 16.5

Answer:

[tex]16\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{3 (18 - 7)}{2} =\frac{3*11}{2}=\frac{33}{2}= 16\frac{1}{2}[/tex]

Answer:

A) 113 m²

Step-by-step explanation:

A=[tex]\pi[/tex]r²

[tex]\pi[/tex]x6x6=113.097

Answer:

28

Step-by-step explanation:

a^2+b^2=c^2

a^2+96^2=100^2

a^2+9216=10000

a^2=784

a^2= √784

a=28

Answer:

Step-by-step explanation:

Let,

The unknown leg be = x

According to Pythagoras Theorem,

[tex] {hypotenuse}^{2} - {base}^{2} = {height}^{2} [/tex]

[tex] = > {100}^{2} - {96}^{2} = {x}^{2} [/tex]

[tex] = > {x}^{2} = 10000 - 9216[/tex]

[tex] = > {x}^{2} = 784[/tex]

[tex] = > x = \sqrt{784} [/tex]

=> x = 28

Hence,

the another leg is 28 in. (Ans)

Answer:

It is 10 because 5 times 10 is 50

Answer:

A) = 5

B) = 10

C) = (5 x 10)= 50

Step-by-step explanation:

Area of a rectangle a x b = c

Where a is the short side

Where b is the long side

And c is our area

Okay now we we have to think what numbers give us 50 so ( 1 x 50 , 5 x 10 , 2 x 25)

So since now we have the numbers we look for a number that is twice the other and is - 5 the other one and the only numbers are 10 and 5 so in conclusion

A= 5

B= 10

C= 50

Answer:

3/4

Step-by-step explanation:

i was just learning this stuff

The slope of the line = 3/4

"It is the ratio of change in the y values to the change in x values"

From given graph,

Consider AB,

assuming scale of 1 unit on each axis,

change in y = 3 and the change in x = 4

Therefore, the slope of the line  = 3/4

Learn more about the slope of the line here:

https://brainly.com/question/1583658

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Answer:

its 3rd one all the best for your test

Answer:

A. the function is increasing for all real values of x where x < -4

Answer:

1/3

Step-by-step explanation:

Answer:

Hence, your answer is 1/3.

Brainliest would be appreciated!!!!

Answer:

diameter = circumference / pi

circumference = 15cm

diameter = 15 / 3.14

               = 4.77707006369 cm

hope this answer helps you.....

please mark as brainliest... thank you!

Answer:

$100.80

Step-by-step explanation:

40%/100%×72=$28.80

$72+$28.80=$100.80

Answer: Q1 10 Q216 Q3 8

Step-by-step explanation:

BECAUSE I THIK THAT IS THE ANSWER

The value of x is: 180° - 100° - 45° = 35°

Answer:

-1 is the remainder

hope it helps

Answer:

-1 is the remainder for this problem.

Step-by-step explanation:

Plato.

Answer:

-3<y<=3 or B

Step-by-step explanation:

first we find the smallest y value which is -3

then we find the largest y vlaue which is three

so since there is an open circle at negative three we do not include it while at three we do.

so the answer would be -3<x<=3

if my answer helps please mark as brainliest.

Answer:

the number is 26

Step-by-step explanation:

x+3x+5=33

4x+5=33

4x=28

x=7

3(7)+5=26

Answer:

4.88

Step-by-step explanation:

sinA=opposite/adjacent

sin24=x/12

12(0.40673664307)=x

x=4.88083971691