<h3>
Answer: 10</h3>
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Explanation:
The two smaller triangles are proportional, which lets us set up this equation
5/n = n/15
Cross multiplying leads to
5*15 = n*n
n^2 = 75
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Apply the pythagorean theorem on the smaller triangle on top, or on the right.
a^2+b^2 = c^2
5^2+n^2 = m^2
25+75 = m^2
100 = m^2
m^2 = 100
m = sqrt(100)
m = 10
Diameter = 2*radius
14/2=7
Radius is 7in"
Circumference of circle formula: 2pi(radius)
2pi(7)= 43.98in of wire required so it can wrap around lamp exactly once.
Answer: B.
Step-by-step explanation:
Let be the proportion of all U.S. adults that smoked in 1995. Let denote the proportion of all U.S. adults that smoked in 2000.
Objective for the study : Whether the proportion of U.S. adults that smoke declined during the 5-year period between the samples.
i.e.
Alternative hypothesis is the statement containing population parameter that shows there is significant difference between the groups being tested.
⇒
Null hypothesis is the statement containing population parameter that shows there is no significant difference between the groups being tested.
⇒
Hence, The hypotheses to test in this problem are
Hence, the correct answer is B.
The answer is 36 I'm pretty sure