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I am Lyosha [343]
3 years ago
11

Find the diameter of a circle with a circumference of 63 feet. Round your answer to the nearest hundredth.

Mathematics
2 answers:
Kay [80]3 years ago
7 0

Answer:

Step-by-step explanation:

33

pochemuha3 years ago
5 0

Answer:

20.06ft

Step-by-step explanation:

Divide the circumference by pi to get diameter

63/3.14

=20.1ft

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If I want to buy a pair of sunglasses and the original price is $120, how much will I pay if they are 50% off? What if they were
gogolik [260]

Answer:

$60, $90

Step-by-step explanation:

Amount paid when 50% off

=$ 120 - 50/100 * 120 = $ 120 - $60 = $60

Amount paid when 25% off

=$ 120 - 25/100 * 120 = $ 120 - $30 = $90

4 0
3 years ago
50, 45, 48, 43, 46, _,_inductive reasoning
jolli1 [7]
Pattern is -5 then +3, so next number is 46-5 which is 41, and then that plus 3, which is 44
So 41 and 44
4 0
3 years ago
In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and 2500 smokers of more than on
Kazeer [188]

Answer:

In one month, we will have 4,950 non-smokers, 2,650 smokers of one pack and 2,400 smokers of more than one pack.

In two months, we will have 4,912 non-smokers, 2,756 smokers of one pack and 2,332 smokers of more than one pack.

In a year, we will have 4,793 non-smokers, 3,005 smokers of one pack and 2,202 smokers of more than one pack.

Step-by-step explanation:

We have to write the transition matrix M for the population.

We have three states (nonsmokers, smokers of one pack and smokers of more than one pack), so we will have a 3x3 transition matrix.

We can write the transition matrix, in which the rows are the actual state and the columns are the future state.

- There is an 8% probability that a nonsmoker will begin smoking a pack or less per day, and a 2% probability that a nonsmoker will begin smoking more than a pack per day. <em>Then, the probability of staying in the same state is 90%.</em>

-  For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. <em>Then, the probability of staying in the same state is 80%.</em>

- For smokers who smoke more than a pack per day, there is an 8% probability of quitting and a 10% probability of dropping to a pack or less per day. <em>Then, the probability of staying in the same state is 82%.</em>

<em />

The transition matrix becomes:

\begin{vmatrix} &NS&P1&PM\\NS&  0.90&0.08&0.02 \\  P1&0.10&0.80 &0.10 \\  PM& 0.08 &0.10&0.82 \end{vmatrix}

The actual state matrix is

\left[\begin{array}{ccc}5,000&2,500&2,500\end{array}\right]

We can calculate the next month state by multupling the actual state matrix and the transition matrix:

\left[\begin{array}{ccc}5000&2500&2500\end{array}\right] * \left[\begin{array}{ccc}0.90&0.08&0.02\\0.10&0.80 &0.10\\0.08 &0.10&0.82\end{array}\right] =\left[\begin{array}{ccc}4950&2650&2400\end{array}\right]

In one month, we will have 4,950 non-smokers, 2,650 smokers of one pack and 2,400 smokers of more than one pack.

To calculate the the state for the second month, we us the state of the first of the month and multiply it one time by the transition matrix:

\left[\begin{array}{ccc}4950&2650&2400\end{array}\right] * \left[\begin{array}{ccc}0.90&0.08&0.02\\0.10&0.80 &0.10\\0.08 &0.10&0.82\end{array}\right] =\left[\begin{array}{ccc}4912&2756&2332\end{array}\right]

In two months, we will have 4,912 non-smokers, 2,756 smokers of one pack and 2,332 smokers of more than one pack.

If we repeat this multiplication 12 times from the actual state (or 10 times from the two-months state), we will get the state a year from now:

\left( \left[\begin{array}{ccc}5000&2500&2500\end{array}\right] * \left[\begin{array}{ccc}0.90&0.08&0.02\\0.10&0.80 &0.10\\0.08 &0.10&0.82\end{array}\right] \right)^{12} =\left[\begin{array}{ccc}4792.63&3005.44&2201.93\end{array}\right]

In a year, we will have 4,793 non-smokers, 3,005 smokers of one pack and 2,202 smokers of more than one pack.

3 0
3 years ago
How many inches are in 14 feet
GarryVolchara [31]

Answer:

168 inches are in 14 feet

Step-by-step explanation:

There are 12 inches in a foot. 12 * 14 = 168.

4 0
3 years ago
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FOOD If 24 extra large cans of soup will serve 96 people, how many cans should Ann buy to serve 28 people?
Juliette [100K]
The answer I got was 4 cans. I really hope my math was right!
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3 years ago
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