What is the value of (2,820 ÷ 8) ÷ 5?

12. If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that th

atroni [7]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

We have the following info given:

$Confidence= 0.95$ the confidence level desired

$ME =0.03$ represent the margin of error desired

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

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

The confidence level is 95% or 0.95, the significance is $\alpha=0.05$ and the critical value for this case using the normal standard distribution would be $z_{\alpha/2}=1.96$

Since we don't have prior information we can use $\hat p= 0.5$ as an unbiased estimator

Also we know that $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

6 0

2 years ago

chris can run at a constant speed of 12 km/h. How ling will it take him to run from his home to the park, a distance of 0.8 km?

densk [106]

Recall that distance = speed times time. Thus, time = distance / speed.

Here:

time = distance / speed = 0.8 km / 12 km/hr = 1/15 hr.

Note that 1/15 hr = 1/15 (60 min) = 4 minutes

8 0

2 years ago

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The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

pogonyaev

Answer: The quadrilateral HIJK is a parallelogram.

Explanation:

It is given that the coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

The parallelogram diagonal theorem states that the quadrilateral is a parallelogram if both diagonal bisects each other.

If HIJK is a quadrilateral, then HJ and IK are the diagonals of HIJK.

First we find the midpoint of HJ.

$\text{Midpoint of HJ}=(\frac{0+4}{2}, \frac{5-1}{2})$

$\text{Midpoint of HJ}=(2,2)$

Now, find the midpoint of IK.

$\text{Midpoint of IK}=(\frac{3+1}{2}, \frac{3+1}{2})$

$\text{Midpoint of IK}=(2,2)$

The midpoint of both diagonal are same. It means the diagonals of HIJK bisects each other.

By parallelogram diagonal theorem, we can say that the quadrilateral HIJK is a parallelogram.

7 0

2 years ago

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A new car is purchased for 20000 dollars. The value of the car depreciates at 12.5% per year. What will the value of the car be,

exis [7]

<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ final = original x multiplier^n

n is the number of years

Substitute in the values:

final = 20,000 x 0.875^11

final = 4603.8225

The answer would be $4603.82

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0

2 years ago

The system shown is _____.<br><br> equivalent<br><br> independent<br><br> inconsistent

Rzqust [24]

We know that
If a system has at least one solution, it is said to be consistent.
When you graph the equations, both equations represent the same line
so
the system has an infinite number of solutions

If a consistent system has an infinite number of solutions, it is dependent.
<span>
therefore
the system is </span>consistent, dependent and <span>equivalent
</span><span>
the answer is
</span>equivalent

3 0

2 years ago

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