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alexandr402 [8]
3 years ago
5

The ratio of dog and cat owners is 5 to 6. If there are 36 cat owners, what is the number of dog owners?

Mathematics
1 answer:
Vlad [161]3 years ago
5 0

Answer:

30

Step-by-step explanation:


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If it takes 4 gallons of gas to drive 92 miles how many miles can be driven using 6 gallons
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if a snowball rolls down a hill and its surface area increaces at a rate of 18cm^2/min, find the rate at which the radius increa
sp2606 [1]

Answer: dr/dt = 9/(24pi)  cm per minute

9/(24pi) is approximately equal to 0.119366

=============================================

Work Shown:

Given info

dS/dt = 18 cm^2/min is the rate of change of the surface area

r = 6 cm is the radius, from the fact that the diameter is 12 cm

--------

Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius

S = 4*pi*r^2

dS/dt = 2*4*pi*r*dr/dt

dS/dt = 8*pi*r*dr/dt

18 = 8*pi*6*dr/dt

18 = 48*pi*dr/dt

48pi*dr/dt = 18

dr/dt = 18/(48pi)

dr/dt = (9*2)/(24*2pi)

dr/dt = 9/(24pi)

The units are cm per minute, which can be written as cm/min.

3 0
3 years ago
Calculate the probability of needing at least 5 tosses of an unbiased coin to land a head.
Gnom [1K]

Answer:

0.03125

Step-by-step explanation:

If we have a fair coin the probability of landing a head is 50%.

We can think the question as what is the probability of landing four tails and then a head. That is we needed at least 5 tries to get a head.

Prob \{ T,T,T,T,H\}

Since this events are independent we can write it as

Prob \{ T\} \times Prob \{ T\} \times Prob \{ T\} \times Prob \{ T\} \times Prob \{ H\} =.5^5= 0.03125

4 0
3 years ago
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