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Anna71 [15]
3 years ago
6

About 8% of the world's population is said to have blue eyes. What is the probability that in a random sample of 1,000 people, m

ore than 100 of them have blue eyes?
1
0.986
0.08
0.0569
0.0099
Advanced Placement (AP)
1 answer:
il63 [147K]3 years ago
7 0

Answer:

The answer is 0.0099

Explanation:

The mean of sample is 0.08.

The standard deviation of the sample is:

s = √(0.08 (1 − 0.08) / 1000)

s = 0.00858

Since n > 30, we can approximate this as a normal distribution.  The z score is:

z = (0.1 − 0.08) / 0.00858

z = 2.33

Using a z-score table:

P(x > 2.33) = 1 − 0.9901

p(x > 2.33) = 0.0099

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1. The rate at which people enter a movie theater on a given day is modeled by the function S defined by S(t) = 80 -12 cos 6 The
Arlecino [84]

Hi there!

a.

To find the total amount of people that have ENTERED by t = 20, we must take the integral of the appropriate function.

\text{Amount that entered} = \int\limits^{20}_{10} {S(t)} \, dt \\\\ = \int\limits^{20}_{10} {80 - 12cos(\frac{t}{5})} \, dt

Evaluate using a calculator:

= 899.97 \approx \boxed{900\text{ people}}

b.

To solve, we can find the total amount of people that have entered of the interval and subtract the total amount of people that have left from this value.

In other terms:
\text{Amount of people} = \int\limits^{20}_{10} {S(t)} \, dt - \int\limits^{20}_{10} {R(t)} \, dt

We can evaluate using a calculator (math-9 on T1-84):


\text{\# of people} = \int\limits^{20}_{10} {80-12cos(\frac{t}{5})} \, dt - \int\limits^{20}_{10} {12e^{\frac{t}{10}}+20} \, dt

= 899.97 - 760.49 = 139.47 \approx \boxed{139 \text{ people}}

c.

If:
P(t) = \int\limits^t_{10} {S(t) - R(t)} \, dt

Then:

\frac{dP}{dt}  = P'(t)= \frac{d}{dt}\int\limits^t_{10} {S(t) - R(t)} \, dt  = S(t) - R(t)

Evaluate at t = 20:


S(20) = 80 - 12cos(\frac{20}{5}) = 87.844\\\\R(20) = 12e^{\frac{20}{10}} + 20 = 108.669

S(20) - R(20) = 87.844 - 108.669 = -20.823

This means that at t = 20, there is a <u>NET DECREASE</u> of people at the movie theater of around 20.823 (21) people per hour.

d.

To find the maximum, we must use the first-derivative test.

Set S(t) - R(t) equal to 0:

80 - 12cos(\frac{t}{5}) - 12e^{\frac{t}{10}} - 20 = 0\\\\60 - 12(cos(\frac{t}{5}) + e^{\frac{t}{10}})= 0

Graph the function with a graphing calculator and set the function equal to y = 0:

According to the graph, the graph of the first derivative changes from POSITIVE to NEGATIVE at t ≈ 17.78 hours, so there is a MAXIMUM at this value.

<u>Thus, at t = 17.78 hours, the amount of people at the movie theater is a MAXIMUM.</u>

8 0
2 years ago
What is the periodic interest on a credit card with a 15.99% APR? 1.333% 1.499% 2.665% 2.998%
kicyunya [14]

Answer:

1.333%

Explanation:

Found answer on another brainly post :)

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3 years ago
Anong kahulugan ng bugnutin?<br><img src="https://tex.z-dn.net/?f=esp%20%5C%3A%20subject" id="TexFormula1" title="esp \: subject
vfiekz [6]

Answer:ytytyytytyt

Explanation:

5 0
3 years ago
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Ian's parents asked him to create a budget for his $1,000 monthly income. He determines that he would like to save the remaining
quester [9]
I got the same answer as you so try picking the answer that is closest to the answer you got sorry i couldn't help much 
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4 years ago
Assume that the United States and India enjoy constant opportunity costs in the production possibilities shown in the table.
Soloha48 [4]

The nation that has the absolute advantage in peanuts is India.

<h3>How to solve for the absolute advantage of these countries</h3>

a. The country that has the absolute advantage in the pounds of peanuts is India. They are able to produce 10 million worth of the product.

b. This is in the attachment

c. From the calculated opportunity costs, India has been shown to have the comparative advantage in peanuts so they have to specialize here.

The US on the other hand has to specialize in pecans because they have  the comparative advantage in it.

d) The PPC for each country is a diagram

e. ) The terms of trade would be a pound of peanut for a pound of pec an for the countries.

Based on this the US would produce 10 units for pecans. They would use 5 units and exchange the remaining 5 units of pecans for 5 units of peanuts from India.

India is also going to do likewise.

Read more on production possibility curve here:

brainly.com/question/2601596

#SPJ1

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2 years ago
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