<h3>
Answer: 8.323 (approximate)</h3>
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Explanation:
s = 32 = sample standard deviation
n = 40 = sample size
Despite not knowing the population standard deviation (sigma), we can still use the Z distribution because n > 30. When n is this large, the student T distribution is approximately the same (more or less) compared to the standard Z distribution. The Z distribution is nicer to work with.
At 90% confidence, the z critical value is roughly z = 1.645. This can be found using either a Z table or a calculator.
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We have these values:
- z = 1.645 (approximate)
- s = 32
- n = 40
Plug these values into the margin of error formula.

The margin of error is roughly 8.323
I rounded to 3 decimal places because z = 1.645 is rounded to 3 decimal places. If your teacher wants some other level of precision, then be sure to follow those instructions.
Answer:
Step-by-step explanation:
Answer:
47 bpm
B
Step-by-step explanation:
Draw a trend line (attached).
Reading from the graph, the resting hear rate, in bpm, of a person who exercises an average of 8 hours a week is approximately 47.
The only scatter plot that suggests a linear relationship between x and y is graph B (see second attachment) as the trend line is a straight line.
First, let's see all that's bigger than 1:
<span>1.1, 5/3,(that's about 1.6) 2.0,
and we order them: </span><span>
<span>1.1, 5/3, 2.0,
then, bigger than 0, smaller than 1:
</span></span><span><span>1/2(=0.5), ,0.4,5/8 (that's about 1.6):
ordering: </span></span>
<span>0.4, 1/2,5/8
And we're left with the one negative number, -2, that's the smallest.
Putting everything together:
-2, </span>0.4, 1/2,5/8 ,<span>1.1, 5/3, 2.0,</span>
Answer: The width of the garden is 18 feet. The area of the garden is 432ft^2.
Step-by-step explanation:
84-24*2=36
36/2=18
18*24= 432