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valentinak56 [21]
3 years ago
8

Renting a pony for a birthday party costs $200 plus $40 per hour.

Mathematics
1 answer:
andrey2020 [161]3 years ago
4 0

Step-by-step explanation:

c= 40h +200

h= 3.5

40*3.5=140

200+140=340

The total is 340

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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
The tires on a mining truck are 14 ft tall. Which measurement is it (diameter, radius, or circumference)
GalinKa [24]

Answer:

this is quite easy. if the tire is 14 ft. tall, that would mean the diameter is 14 ft. as well (do to a tire being round). the radius is half of the diameter, meaning the radius is 7 ft. finally, to find the circumference, you would have to multiply pi by 2 (6.28) then multiply this by the radius to make 43.98 ft.

Step-by-step explanation:

D = 14

R = 14/2 = 7

C = 2(pi) x 7 = 6.28 x 7 = 43.98

4 0
2 years ago
Cathy has half of what bryan has, byan has 1200 dollars. how much does cathy have?
Sauron [17]

Answer:

600

Step-by-step explanation:

You would do 1200 x 1/2 = 600

Hope this helps :D

6 0
2 years ago
Read 2 more answers
A hungry elf ate 20 of your muffins. That was 5/8 of all of them! With how many did you start?
Sergeeva-Olga [200]

Answer:

answer and explanation is in the image :)

Step-by-step explanation:

7 0
3 years ago
Let f(x)=x2−12x. To prove that limx→6f(x)=−36, we proceed as follows. Given any ϵ>0, we need to find a number δ>0 such tha
katovenus [111]

Answer:

Take \delta = \sqrt{\epsilon}

Step-by-step explanation:

To begin notice that

\big| x^2 -12x-(-36) \big| = \big| x^2 -12x+36 \big| = \big| (x-6)^2 \big|\\= \big|x-6\big|*\big|x-6 \big| \leq \delta*\delta = \delta^2

If we chose the following delta

\delta = \sqrt{\epsilon}

that solves our problem !

6 0
3 years ago
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