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faltersainse [42]
3 years ago
6

Round the following number as indicated 106,513

Mathematics
2 answers:
Neko [114]3 years ago
5 0

Answer:

Depends on what you're round to. Read below.

Step-by-step explanation:

To the 100,000 place:

<u>100,000</u>

To the 10,000 place:

<u>110,000</u>

To the 1,000 place:

<u>107,000</u>

To the 100 place:

<u>106,500</u>

To the 10 place:

<u>106,510</u>

To the 1 place:

<u>106,513</u>

Salsk061 [2.6K]3 years ago
3 0

Answer: i will put the answer as a comment but what are you rounding to

Step-by-step explanation:

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vekshin1
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3 years ago
Read 2 more answers
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
Martha wants to build a rectangular wooden border around the perimeter of her children's playground. She can find the perimeter
lutik1710 [3]

Answer: The perimeter of Martha's wooden border = 44 feet.

Step-by-step explanation:

Given: The formula to find the perimeter = 2w + 2l. , where w = width and l = length

If l= 12 feet and w = 10 feet

Then, the perimeter of Martha's wooden border = 2(10)+2 (12) feet

The perimeter of Martha's wooden border = 20+24 feet

The perimeter of Martha's wooden border = 44 feet

Therefore, the perimeter of Martha's wooden border = 44 feet.

3 0
3 years ago
3 folders cost $2.91.<br> Which equation would help determine the cost of 2 folders?
-Dominant- [34]

Answer:

194

Step-by-step explanation:

2/3X=291

x=194

8 0
2 years ago
According to a survey conducted by Deloitte in 2017, 0.46 of U.S. smartphone owners have made an effort to limit their phone use
Alexxandr [17]

Answer:

44.16 ; 4.88

Step-by-step explanation:

Recall :

Mean, μ = np

Sample size, n = 96

Sample proportion, p = 0.46

For the mean :

Mean, μ = 96 * 0.46

0.46 * 96 = 44.16

The standard deviation :

σ = √npq

q = 1 - p = 1 - 0.46 = 0.54

σ = √npq = √(96 * 0.46 * 0.54)

σ = √23.8464

σ = 4.88

7 0
3 years ago
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