PLEASE HELP I'M BEING TIMED!!! I WILL GIVE BRAINLIEST!! ;3333
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Answer:
The cost of six magnets is $1.10
Step-by-step explanation:
The cost of 1 magnet = $ 0.20
Cost of 2 Magnets = $ 0.38
Now, the series of the cost of magnets is:
0.20 , 0.38, 0.56 , 0.74,...
Now, the above series forms an Arithmetic Progression as
0. 38 - 0. 20 = 0.18
and 0. 56 - 0. 38 = 0.18
Hence, the common difference of the series = 0.18
and first term of the series = 0.20
By , A.P a(n) = a + (n-1) d
⇒
or, a(6) = 0.20 + 0.9 = 1.1
or, the sixth term in the sequence is $1.1
Hence, the cost of six magnets is $1.1
We cannot calculate the confidence interval without the sample size. However, for the second question, the sample size needed would be 49.
The formula we use is
To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99
Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.
Using the z-score, our standard deviation (9) and our margin of error (3), we have:
The formula we use is
To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99
Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.
Using the z-score, our standard deviation (9) and our margin of error (3), we have: