Simone saved $65.35 more than her brother Dan and $37.50 less than her sister Carly. Carly saved $127.75. Write and solve equati
1 answer:
Simone saved $90.25 and Dan saved $24.90
Step-by-step explanation:
Let,
Amount saved by Simone = x
Amount saved by Dan = y
Amount saved by Carly = z
Simone saved $65.35 more than her brother Dan
x = y + 65.35 Eqn 1
and $37.50 less than her sister Carly.
x = z - 37.50 Eqn 2
Carly saved $127.75
z = 127.75 Eqn 3
Putting value of z from Eqn 3 in Eqn 2
Putting x=90.25 in Eqn 1
Simone saved $90.25 and Dan saved $24.90
Keywords: linear equation, addition
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Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.
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The margin of error is:
In which:
is the sample mean.
- z is the critical value.
- n is the sample size.
is the standard deviation for the population.
Assuming an uniform distribution, the standard deviation is given by:
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
The sample size is found solving for n when the margin of error is of M = 0.006, hence:
n = 142,282.
A sample of 142,282 should be taken, which is not practical as it is too large of a sample.
More can be learned about the z-distribution at brainly.com/question/25890103
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