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2 years ago

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Suppose Birmingham, Huntsville, and Gadsden, Alabama, form a right triangle. What is the distance from Huntsville to Gadsden? Th

anks for answering!

1 answer:

olga_2 [115]2 years ago

7 0

Answer:

76.7 miles

Step-by-step explanation:

Use the Pythagorean Theorem:

$a^2+b^2=c^2\\\\61^2+d^2=98^2\\\\3721+d^2=9604\\\\d^2=5883\\\\d\approx76.7$

Therefore, the distance from Huntsville to Gadsden is about 76.7 miles

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A simple random sample of size n equals 200 individuals who are currently employed is asked if they work at home at least once p

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//0.20113,0.20887[/tex]

Step-by-step explanation:

<u>step 1:-</u>

Given sample size n=200

of the 200 employed individuals surveyed 41 responded that they did work at home at least once per week

Population proportion of employed individuals who work at home at least once per week P = $\frac{x}{n} =\frac{41}{200} =0.205$

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<u>step 2:-</u>

Now $\sqrt{\frac{P Q}{n} } =\sqrt{\frac{(0.205)(0.705)}{200} }$

=0.0015

<u>step 3:-</u>

<u>Confidence intervals</u>

<u>using formula</u>

$(P - Z_∝} \sqrt{\frac{P Q}{n},} (P + Z_∝} \sqrt{\frac{P Q}{n},$

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=0.20113,0.20887[/tex]

<u>conclusion:</u>-

99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week

//0.20113,0.20887[/tex]

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