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This is the formula for circumference of circle
there would be 29 pencils left because 3 * 12 is 36 minus 7 is 29
Answer:
b. Hannah is likely to be incorrect because 9 is not contained in the interval.
Step-by-step explanation:
Hello!
Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.
The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.
In this example, the 99%CI resulted [0.4;8.0]hs
Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.
Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9
Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed
H₀: μ₁ - μ₂ ≤ 9
H₁: μ₁ - μ₂ > 9
And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.
I hope this helps!
Answer:
47 cm.
Step-by-step explanation:
Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly.
They get 27 cm, 35 cm, and 32 cm, respectively. Find the perimeter of the triangle, in cm
find:
Find the perimeter of the triangle, in cm. What is the most efficient strategy you can find to solve this problem?
<u>solution:</u>
27, 35, and 32 are each the sum of a different pair of sides of the triangle
Then 27 + 35 + 32 is the sum of all three sides, each counted twice.
Thus, 27 + 35 + 32 = 94 is twice the perimeter
therefore,
the perimeter of the triangle is 94/2 = 47 cm.
I would start at 2000 because of 400/.2 is 2000 idk sorry