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anzhelika [568]
3 years ago
11

A website that sells movie tickets can tell what devices are used to access their site and make purchases. The manager of the we

bsite is approached by members of a movie production company who want to partner in the development of a phone app. To estimate what proportion of ticket buyers make purchases using their smart phones, 400 users of the website were randomly sampled from the existing database and 180 were found to have used their smart phones.
Mathematics
1 answer:
LiRa [457]3 years ago
4 0

Answer:

The best estimate for the proportion of ticket buyers that make purchases using their smart phones is 0.45.

Step-by-step explanation:

We take the estimate from the website, and expand for all buyers, to find the proportion that use their smartphones.

400 users of the website were randomly sampled from the existing database and 180 were found to have used their smart phones.

180/400 = 0.45

The best estimate for the proportion of ticket buyers that make purchases using their smart phones is 0.45.

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Step-by-step explanation:

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Simplify<br> X2-49<br> Over <br> X2+9x+14
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Answer:

(x-7)/(x+2)

Step-by-step explanation:

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7 0
3 years ago
Alexander deposited money into his retirement account that is compounded annually at an interest rate of 7%.
anzhelika [568]
Tow rates are equivalent if tow initial investments over a the same time, produce the same final value using different interest rates.

For the annually rate we have that:
V_{0} =(1+ i_{a} ) ^{1}
Where
V_{0} = initial investment.
i_{a} = annually interest rate in decimal form.
And the exponent (1) represents the full year.

For the quarterly interest rate we have that:
V_{0} =(1+ i_{q} ) ^{4}
Where
V_{0} = initial investment.
i_{q} = quarterly interest rate in decimal form.
And the exponent (4) the 4 quarters in the full year.

Since the rates are equivalent if tow initial investments over a the same time, produce the same final value, then
(1+ i_{a} )=(1+ i_{q} ) ^{4}
Notice that we are not using the initial investment V_{0} since they are the same.

The first thin we are going to to calculate the equivalent quarterly rate of the 7% annually rate is converting 7% to decimal form
7%/100 = 0.07
Now, we can replace the value in our equation to get:
(1+0.07)=(1+ i_{q} ) ^{4}
1.07=(1+ i_{q} ) ^{4}
\sqrt[4]{1.07} =1+ i_{q}
 i_{q} = \sqrt[4]{1.07} -1
i_{q} =0.017
Finally, we multiply the quarterly interest rate in decimal form by 100% to get:
(0.017)(100%) = 1.7%
We can conclude that Alexander is wrong, the equivalent quarterly rate of an annually rate of 7% is 1.7% and not 2%.


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Ln (1/x)+ln (2x^3)=ln3
Lapatulllka [165]
\ln \frac{1}{x} +\ln2x^3=\ln3
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\ln2x^2=\ln3
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