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m_a_m_a [10]
3 years ago
14

Which company has the highest charge per attendee?

Mathematics
1 answer:
Crank3 years ago
3 0

Answer:

Ben's Bistro

Step-by-step explanation:

They charge $75 an attendee while Alonzo only charges $45 per attendee.

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Alborosie
I think the answer is B
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3 years ago
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A confidence interval was used to estimate the proportion of statistics students that are female. A random sample of 72 statisti
jeyben [28]

Answer:

We need a sample of size at least 13.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence interval: (0.438, 0.642).

The proportion estimate is the halfway point of these two bounds. So

\pi = \frac{0.438 + 0.642}{2} = 0.54

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?

We need a sample of size at least n.

n is found when M = 0.08. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.08 = 1.96\sqrt{\frac{0.54*0.46}{n}}

0.08\sqrt{n} = 1.96\sqrt{0.54*0.46}

\sqrt{n} = \frac{1.96\sqrt{0.54*0.46}}{0.08}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.54*0.46}}{0.08})^{2}

n = 12.21

Rounding up

We need a sample of size at least 13.

3 0
3 years ago
Polygon Q is a scaled copy of polygon P using a scale factor of 1/2. Polygon Q's area is what fraction of Polygon P's area.
DaniilM [7]

Answer: Polygon Q's area is 1/4 of Polygon P's area

======================================================

Explanation:

Imagine we had a square with side length 8. The area of this square is 8*8 = 64.

Now let's reduce each side of the square by the scale factor 1/2. So each new side is 8*(1/2) = 4. The area of this smaller square is 4*4 = 16.

Comparing the new area (16) to the old one (64), we see that the new area is 16/64 = 1/4 of the old area.

In other words,

new smaller area = (1/4)*(old larger area)

So this is one example to see why (1/2)*(1/2) = 1/4 is the area scale factor based on the linear scale factor of 1/2. In short, (1/2)^2 = 1/4. Whatever the original scale factor is, square it and you'll get the area scale factor.

4 0
3 years ago
Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal
STatiana [176]

<em>Note:</em><em> You missed to add some of the details of the question. </em>

<em>Hence, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.</em>

<em></em>

Answer:

Please check the explanation.

Step-by-step explanation:

Given the right angled-triangle ABC as shown in the attached diagram

From the triangle:

Ф= ∠C = 30°

AB = 6 units

BC = y

tan Ф = opp ÷ adjacent

The opposite of ∠C = 30°  is the length '6'.

The adjacent of ∠C = 30°  is the length 'y'.

As Ф= ∠C = 30°

so

tan Ф = opp ÷ adjacent

tan 30 = 5  ÷ y

1 ÷ √3 = 5  ÷ y

y = 8.7 units

Therefore, the length of the unknown side length 'y' is 8.7 units.

7 0
3 years ago
What is 20079•37126827
Zigmanuir [339]

Answer:

745,469,559,333

Step-by-step explanation:

calculator

hope this helps :)

3 0
3 years ago
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