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anastassius [24]
3 years ago
9

The population of osaka japan declined at an average annual rate of 0.05% for five years between 1995 and 2000. If the populatio

n of osaka was 11,013,000 in 2000 and it continues to decline at the same rate, predict the population in 2050
Mathematics
1 answer:
fgiga [73]3 years ago
8 0

Answer:

10,741,021\ people

Step-by-step explanation:

we know that

The equation of a exponential decay function can be written as

y=a(1-r)^x

where

y ---> is the population of Osaka japan

x ---> the number of years since 2000

a ---> is the initial value or y-intercept

r is the rate of change

we have

a=11,013,000\ people

r=0.05\%=0.05/100=0.0005

substitute

y=11,013,000(1-0.0005)^x

y=11,013,000(0.9995)^x

Predict the population in 2050

so

2050-2000=50\ years

For x=50 years

substitute in the equation

y=11,013,000(0.9995)^{50}

y=10,741,021\ people

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Vesnalui [34]

Answer:

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3x3 + x2-----------x2 • (3x + 1)

x2 + 4x - 3------------ x2 + 4x - 3

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 ((x3) -  7x2) +  3

Step  2  :

Polynomial Roots Calculator :

2.1    Find roots (zeroes) of :       F(x) = x3-7x2+3

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

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In this case, the Leading Coefficient is  1  and the Trailing Constant is  3.

The factor(s) are:

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of the Trailing Constant :  1 ,3

Let us test ....

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     -1       1        -1.00        -5.00      

     -3       1        -3.00        -87.00      

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Hope this helps.

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Answer:

Step-by-step explanation:

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3 years ago
You wish to compute the 99% confidence interval for the population proportion. How large a sample should you draw to ensure that
Nataly_w [17]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.13}{2.58})^2}=98.47  

And rounded up we have that n=99

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

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Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

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The margin of error for the proportion interval is given by this formula:  

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And on this case we have that ME =\pm 0.13 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

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Answer:

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Answer:

<h2>She gave her brother 6 tickets</h2>

Step-by-step explanation:

This problem is on fractional numbers.

given that she has 60 tickets

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2. She used 1/5 of her remaining tickets for rides

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She is left with (15-3)= 12 tickets

3. She gave half of her tickets to her brother.

  = (1/2)*12

  =12/2

 = 6

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3 0
3 years ago
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