At the shop near the beach, ice cream is offered in a cone or in a cylindrical cup as shown

Find the volume of the figure. A 1,053 M^3 B 2,106 M^3 C 513 M^3 D 58,5 M^3

vampirchik [111]

The answer is )A
OK THANK YOU I HOPE THIS HOPED

7 0

3 years ago

Customers arrive at a bank drive-up window every 6 minutes based on a Poisson distribution. Once they arrive at the teller, serv

Jet001 [13]

Answer:

(a) 0.01029 (b) 4.167 customers (c) 0.4167 hours or 25 minutes (d) 0.5 hours or 30 minutes

Step-by-step explanation:

With an arrival time of 6 minutes, λ=10 clients/hour.

With a service time of 5 minutes per transaction, μ=12 transactions/hour.

(a) The probability of 3 or fewer customers arriving in one hour is

P(C<=3)=P(1)+P(2)+P(3)

$P(X)=\lambda^{X}*e^{-\lambda} /X!$

$P(1)=10^{1}*e^{-10} /1!=0.00045\\P(3)=10^{3}*e^{-10} /3!=0,00227\\P(2)=10^{2}*e^{-10} /2!=0,00757\\P(x\leq3)=0.00045+0.00227+0.00757 = 0.01029$

(b) The average number of customers waiting at any point in time (Lq) can be calculated as

$L_{q}=p*L=\frac{\lambda}{\mu}*\frac{\lambda}{\mu-\lambda}\\L_{q}=\frac{10}{12}*\frac{10}{12-10}\\\\L_{q}=100/24=4.167$

(c) The average time waiting in the system (Wq) can be calculated as

$W_{q}=p*W=\frac{\lambda}{\mu}*\frac{1}{\mu-\lambda}\\W_{q}=(10/12)*(1/(12-10))\\W_{q}=(10/24)=0.4167$

(d) The average time in the system (W), waiting and service, can be calculated as

$W=\frac{1}{\mu-\lambda}\\W=\frac{1}{12-10}=0.5$

6 0

3 years ago

Y=2x-5/3x-7, make X subject

lawyer [7]

Answer:

$x = \frac{7y - 5}{3x - 2}$

Step-by-step explanation:

Please see attached picture for full solution.

Making x the subject of formula means that x is on the left hand side and all the other terms are on the right hand side of the equal sign.

In case your question is y= [(2x-5)/3x] -7, I have also attached the working in the second picture.

7 0

3 years ago

Read 2 more answers

If the 6 in 14,563 was changed to a 9, how much would the value change

monitta

Answer:

It would be 30 more.

Step-by-step explanation:

14,593 - 14,563 = 30

3 0

3 years ago

What is the equation of the axis of symmetry of the parabola y=-2x^2+8x-7? x=.....

guapka [62]

Answer:

Equation of axis of symmetry is x = 2

Step-by-step explanation:

The equation of the parabola is given as;

y = -2x² + 8x - 7

The equation of the axis of symmetry is given by;

x = -b/2a

In the parabola equation given and using letters of quadratic equation, we can say that;

a = - 2

b = 8.

c = -7

Thus;

x = -b/2a = -8/(2 × - 2)

x = 8/4

x = 2

Equation of axis of symmetry is x = 2

4 0

3 years ago