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Andre45 [30]
3 years ago
13

A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimat

e the percentage of computers that use a new operating system. How many computers must be surveyed in order to be 95​% confident that his estimate is in error by no more than three percentage points question mark?
​a. Assume that nothing is known about the percentage of computers with new operating systems. n=_______.(Round up to the nearest​ integer.)
b. Assume that a recent survey suggests that about 96​% of computers use a new operating system. n=_______.(Round up to the nearest​ integer.)
Mathematics
1 answer:
Contact [7]3 years ago
6 0

Answer:  a. n= 1068

b. n= 164

Step-by-step explanation:

The formula to find the sample size :

n=p(1-p)(\dfrac{z^{*}}{E})^2

, where p=prior population proportion , z* = critical z-value and E = Margin of error.

Here , let p=proportion of computers that use a new operating system.

Given : Confidence level = 95%

i.e. z* = 1.96  [by z-table]

Margin of error : E = 3% =0.03

a. If p is unknown , then we assume p=0.5

Then, n=(0.5)(1-0.5)(\dfrac{1.96}{0.03})^2=1067.11111\approx1068

i.e. n= 1068

b. p=0.96

Then, n=(0.96)(1-0.96)(\dfrac{1.96}{0.03})^2=163.908266667\approx164

i.e. n= 164.

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Masja [62]
No hablo ni escribo inglés ponlo en español
3 0
3 years ago
Compute each sum below. If applicable, write your answer as a fraction.
Alex777 [14]

Answer:

First equation is -425

Second equation is 11.25

Step-by-step explanation:

First equation we can write as

\sum_{i=0}^7 5 \times (-2)^i

computing

When i=0 -> 5 \times (-2)^0 =5

When i=1 -> 5 \times (-2)^1 = -10

...

When i=7 -> 5 \times (-2)^7 = --640

then replacing each term we have

5  + (-10) + ( 20) + ( -40) +  (80) +( -160) +   320 + (-640) = -425

For the second equation we'll have 9 terms, solving in a similar fashion

When i=1 -> \frac{1}{4}1=0.25

When i=2 -> \frac{1}{4}2=0.50

When i=3 -> \frac{1}{4}3=0.75

...

When i=9 -> \frac{1}{4}9=2.25

So we have 0.25 + 0.50 + 0.75 + 1.00 + 1.25 + 1.50+ 1.75 +2.00 +2.25

4 0
3 years ago
How much rice is going to be in the smaller bags
Lana71 [14]

Answer:

5.625

Step-by-step explanation:

45 ÷ 8 = 5.625

5 0
3 years ago
Give the standard form for 900,000 + 50,000 + 9,000 + 600 +20+7
brilliants [131]

Answer:

nine-hundred thousand plus fifty thousand plus nine thousand plus six-hundred plus twenty plus seven

Step-by-step explanation: answer above

7 0
3 years ago
Read 2 more answers
A music company sells CDs for a particular artist. The company has advertising cost of $4,000 and recoding costs of $10,000; The
alukav5142 [94]

Answer:

First, let's write all the costs:

$4,000 in advertising.

$10,000 in the recording.

$5,50 per cd.

Then we have that the cost will be:

C(x) = $4,000 + $10,000 + $5.50*x

where x is the number of CDs distributed.

C(x) = $5.50*x + $14,000.

Now, they win $7.20 per cd, so the tota wins are:

W(x) = $7.20*x

The profit will be the difference between the total win and the cost:

p(x) = $7,20*x - $5.50*x - $14,000 = $1.7*x - $14,000

Now with this function, we can calculate the number of CDs that the company needs to sell in order to break even, that is when the profit is exactly zero.

P(x) = $0 = $1.7*x - $14,000

$1.7*x = $14,000

x = $14,000/$1.7 = 8,235.3 CDs, that we should round up to 8,236.

This means that the company must sell more than 8,236 if they want to have a positive profit.

8 0
3 years ago
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