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1 year ago

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According to Eurostat, 55.2% of households in Italy have one child, the highest percentage in the Euro zone. A random sample of

160 Italian households was selected. The standard error of the proportion is ________.

1 answer:

Sladkaya [172]1 year ago

3 0

Answer:

0.04

Step-by-step explanation:

In this case we must use the following formula to be able to find the standard error, which would be the square root, of the probability for its complement divided by the population:

SE= $\sqrt{\frac{p *(1-p)}{n} } \\$

Now, knowing that p = 0.552 and n = 160 we replace and we are left with:

SE = $\sqrt{\frac{0.552 *(1-0.552)}{160} } \\$

SE = $\sqrt{0.00154}$

SE = 0.039

Which means that the standard error of the proportion is 0.04

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Which properties are present in a table that represents an exponential function in the form y-b* when b > 1?

Oksana_A [137]

Answer:

<u>Properties that are present are </u>

Property I

Property IV

Step-by-step explanation:

The function given is $y=b^x$ where b > 1

Let's take a function, for example, $y=2^x$

Let's check the conditions:

I. As the x-values increase, the y-values increase.

Let's put some values:

y = 2 ^ 1

y = 2

and

y = 2 ^ 2

y = 4

So this is TRUE.

II. The point (1,0) exists in the table.

Let's put 1 into x and see if it gives us 0

y = 2 ^ 1

y = 2

So this is FALSE.

III. As the x-value increase, the y-value decrease.

We have already seen that as x increase, y also increase in part I.

So this is FALSE.

IV. as the x value decrease the y values decrease approaching a singular value.

THe exponential function of this form NEVER goes to 0 and is NEVER negative. So as x decreases, y also decrease and approached a value (that is 0) but never becomes 0.

This is TRUE.

Option I and Option IV are true.

7 0

2 years ago

Read 2 more answers

Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu

NeX [460]

Distance traveled in clear weather = 50 miles

Distance traveled in thunderstorm = 15 miles

Let speed in clear weather = x

⇒ Speed in thunderstorm = x-20

Total time taken for trip = 1.5 hours

We need to determine average speed in clear weather (i.e. x) and average speed in the thunderstorm (i.e. x-20 ).

Total time taken for trip = Time taken in clear weather + Time taken in thunderstorm

⇒ Total time taken for trip = $\frac{Distance covered in clear weather}{Speed in clear weather}$ + $\frac{Distance covered in thunderstorm}{Speed in thunderstorm}$

⇒ 1.5 = $\frac{50}{x}$ + $\frac{15}{x-20}$

⇒ 1.5 = $\frac{50(x-20)+15(x)}{(x)(x-20)}$

⇒ 15*x*(x-20) = 10*[50*(x-20)+15*x]

⇒ 15x² - 300x = 500x - 10,000 + 150x

⇒ 15x² - 300x = 650x - 10,000

⇒ 15x² - 950x + 10,000 = 0

⇒ 3x² - 190x + 2,000 = 0

The above equation is in the format of ax² + bx + c = 0

To determine the roots of the equation, we will first determine 'D'

D = b² - 4ac

⇒ D = (-190)² - 4*3*2,000

⇒ D = 36,100 - 24,000

⇒ D = 12,100

Now using the D to determine the two roots of the equation

Roots are: x₁ = $\frac{-b+\sqrt{D}}{2a}$ ; x₂ = $\frac{-b-\sqrt{D}}{2a}$

⇒ x₁ = $\frac{-(-190)+\sqrt{12,100}}{2*3}$ and x₂ = $\frac{-(-190)-\sqrt{12,100}}{2*3}$

⇒ x₁ = $\frac{190+110}{6}$ and x₂ = $\frac{190-110}{6}$

⇒ x₁ = $\frac{300}{6}$ and x₂ = $\frac{80}{6}$

⇒ x₁ = 50 and x₂ = 13.33

So speed in clear weather can be 50 mph or 13.33 mph. However, we know that in thunderstorm was 20 mph less than speed in clear weather.

If speed in clear weather is 13.33 mph then speed in thunderstorm would be negative, which is not possible since speed can't be negative.

Hence, the speed in clear weather would be 50 mph, and in thunderstorm would be 20 mph less, i.e. 30 mph.

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2 years ago

What is the horizontal asymptote for y(t) for the differential equation dy dt equals the product of 2 times y and the quantity 1

marta [7]

First, we need to solve the differential equation.
$\frac{d}{dt}\left(y\right)=2y\left(1-\frac{y}{8}\right)$
This a separable ODE. We can rewrite it like this:
$-\frac{4}{y^2-8y}{dy}=dt$
Now we integrate both sides.
$\int \:-\frac{4}{y^2-8y}dy=\int \:dt$
We get:
$\frac{1}{2}\ln \left|\frac{y-4}{4}+1\right|-\frac{1}{2}\ln \left|\frac{y-4}{4}-1\right|=t+c_1$
When we solve for y we get our solution:
$y=\frac{8e^{c_1+2t}}{e^{c_1+2t}-1}$
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity.
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
$$$\lim_{x\to\infty} f(x)$$=y=\frac{8e^{c_1+\infty}}{e^{c_1+\infty}-1} = 8$
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants.
So our asymptote is at y=8.

3 0

1 year ago

The 154 tenth-graders at Wilson High School were polled on whether they enjoyed their algebra or geometry course more. The resul

kolbaska11 [484]

Answer:

51.94805...%

Step-by-step explanation:

added up all the #'s =154

added up all the bois =80

divide 80 from 150 =0.51948...

multiply that by 100 =51.94805...

8 0

2 years ago

Read 2 more answers

What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.

slega [8]

Answer:

The approximate length of arc s is 14.1 inches

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

Find the circumference of the circle

The formula to calculate the circumference is equal to

$C=2\pi r$

we have

$r=6\ in\\\pi=3.14$

substitute

$C=2(3.14)(6)\\C=37.68\ in$

step 2

Find the approximate length of arc s

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find the arc length s for a central angle of 135 degrees

$\frac{37.68}{360}=\frac{x}{135}\\\\x=37.68(135)/360\\\\x= 14.1\ in$

4 0

2 years ago

Read 2 more answers