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2 years ago

If the population of a city is 8,839,469 then declines by 4% every year, what is the population in 3 years?

1 answer:

7 0

8,839,469 people* 94% percent of last years population= 8,309,101 people after 1 year
8,309,101 people*94% percent of last years population= 7,810,555 people after 2 years
7,810,555 people*94% percent of last years population= 7,341,922 people after 3 years

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In a large population, 82% of the households have cable tv. A simple random sample of 225 households is to be contacted and the

anzhelika [568]

Answer:

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportions, the mean is $\mu = p$ and the standard deviation is $s = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$p = 0.82, n = 225$ .

$\mu = 0.82$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.82*0.18}{225}} = 0.0256$

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

7 0

2 years ago

Read 2 more answers

If f(x) = (1/9)(9^x) what is f(3)

TiliK225 [7]

Answer: The required value of f(3) is 81.

Step-by-step explanation: We are given the following function :

$f(x)=\left(\dfrac{1}{9}\right)9^x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to find the value of f(3).

Substituting x = 3 in equation (i), we get

$f(3)\\\\\\=\left(\dfrac{1}{9}\right)\times9^3\\\\=9^2\\\\=81.$

Thus, the required value of f(3) is 81.

8 0

2 years ago

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A student says that a coordinate grid under a dilation with the center at the origin and scale factor 2 does not change the grid

Kisachek [45]

Answer:

Dilation changes (x,y) values not the grid or coordinate plane. Basically, dilating a graph or a coordinate grid means the original coordinates you may have had will be changed with the dilation. For example, a triangle plotted had its original area of 26 dilated to an area of 58.

8 0

2 years ago

Graph a line with a slope of -3 that contains the point (4, -2)

Crank

Answer:

Step-by-step explanation:

Given that

Slope m=-3

A point (x, y)=(4,-2)

Equation of a line can generally be written as

y=mx+c

Where, m is the slope

And c is the intercept on y-axis

Since we are given m=-3

Then, y=mx+c becomes

y=-3x+c

To get c, let substitute the point given, i.e x=4 and y=-2

y=-3x+c

-2=-3(4)+c

-2=-12+c

-2+12=c

c=-2+12

c=10

y=mx+c, then m=-3 and c=10

Then, the equation the line becomes y = -3x + 10

This is the required line equation

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3 years ago

Which ones are correct?

Nadusha1986 [10]

Answer:

120 x 10^3

7 x 10^5

9 x 10^4

Step-by-step explanation:

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2 years ago