How many quarts are there in 10 1/2 Gallons

The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.

Step-by-step explanation:

The given is,

A small pizza has an 8-inches in diameter

A large pizza has a 15-inches in Diameter

The small pizza cost $7

Step:1

Area of smaller pizza,

$Area, A_{S} = \pi r^{2}$ ...................................(1)

Where, r - Radius of small pizza

From given, $r=\frac{d}{2}$

$= \frac{8}{2}$

r = 4 inches

Equation (1),

$A_{S} = \pi 4^{2}$

$=(3.14)(16)$ ( ∵ $\pi$ =3.14 )

$= 50.24$ Square inches

Step:2

Area of smaller pizza,

$Area, A_{L} = \pi r^{2}$ ...................................(1)

Where, r - Radius of small pizza

From given, $r=\frac{d}{2}$

$= \frac{15}{2}$

r = 7.5 inches

Equation (1),

$A_{S} = \pi 7.5^{2}$

$=(3.14)(56.25)$ ( ∵ $\pi$ =3.14 )

$= 176.625$ Square inches

Step:3

Cost of pizza per square meter,

$= \frac{Cost of small pizza}{Area of small pizza}$

$=\frac{7}{50.24}$

= $ 0.1393 per square meter

$Cost of Larger pizza = Area of Larger pizza$ × $Cost per square meter$

$= (176.625)(0.139331)$

= $24.62

Result:

The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.

6 0

3 years ago

Flights arriving to DTW might be national or international. Assume that one out of every five national flights is followed by an

Dvinal [7]

Answer:

1/15

Step-by-step explanation:

Given

1 out of every 5 national flight is followed by an international flight.

p = 1/5

q = 1 - p

q = 1 - 1/5

q = 4/5

π0 = 0.25

We want to determine

p:the fraction of international flights that are followed by a national flight.

Let X = 0

If the nth flight is national

Let X = 1

if the flight is international

This gives rise to a two state Markov chain with transition probability as follows

P = (4/5. 1/5. p. 1-p)

The long run proportion are the below solution gotten from the Markov chain above

π0 = 4/5π0 + pπ1 ----- 1

π1 = 1/5π0 + (1 - p)π1---- 2

π0 + π1 = 1 -----------. 3

Solving the above equations,

We have

Substitute 0.25 for π0 in (3)

0.25 + π1 = 1

π1 = 1 - 0.25

π1 = 0.75

Solving 1 and 3

Substitute 0.75 for π1 and 0.25 for π0 in (1)

0.25 = 4/5 * 0.25 + 0.75p

0.25 = 0.2 + 0.75p

0.75p = 0.25 - 0.2

0.75p = 0.05

p = 0.05/0.75

P = 1/15 or 0.0667(6.67%)

So, one out of every 15 international flights is followed by a national flight (or 6.66 percent)

3 0

3 years ago