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Katarina [22]
3 years ago
13

Anna is going to play guitar in her school's annual concert. If she starts by practicing for one hour per day and increases the

time by 30 minutes each day, how long will she practice on the seventh day?
Mathematics
1 answer:
dimulka [17.4K]3 years ago
5 0
Day 1: 1 hour
day 2: 1 hour 30 minutes
day 3: 2 hours
day 4: 2 hours and 30 minutes
day 5: 3 hours 
day 6: 3 hours 30 minutes
day 7: 4 hours
 
On the seventh day Anna will be playing for 4 hours. all you do is increase each day by 30 minutes as shown above.
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Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

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So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

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In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575\frac{2.4}{\sqrt{955}} = 0.2

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.

The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

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james and his sister save money for a trip to the water park. james has saved half the amount of money as his sister has saved.
valina [46]

Answer:

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equation used

money with James  = 3/4 (money with sister)

x/2 + 30 =3/4( x + 30 )

Step-by-step explanation:

Let money saved by sister be x

given

James has saved half the amount of money as his sister has saved.

Money saved by James = x/2

Total money saved by both of them = x + x/2

If they both save 30 more

Then

money with sister = x + 30

money with james = x/2 + 30

given that If they both save 30 more, james will have saved 3/4 as much as her sister

thus,

money with james  = 3/4 (money with sister)

x/2 + 30 =3/4( x + 30 )

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Thus,

money saved by james = 30/2 = 15

equation used

money with james  = 3/4 (money with sister)

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