Answer:
We need to demontrate
As you can see in the figure below, angle MJL is an inscribed angle for Circle M, that means we can use the inscribed angle theorem to demonstrate the proposition above.
<h3>Therorem.</h3>
<em>The angle formed by two intersecting chords with vertex on the circumference is equal to one-half of the intercepted arc.</em>
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Notice that the theorem says a chord. However, a diameter is a chord by definition, because a chord is a segment that unites to points of the circumference, and a diameter does that too.
Therefore, based on the inscribed angle arc theorem, we have
Answer: Rosa is finding the number of kilometers in a mile.
Step-by-step explanation:
According to the given information, we have:
1,760 yd=1 mi
0.914 m=1 yd
1 km=1,000 m
So, as we can see, Rosa wants to convert miles to yards, then yards to meters and finally meters to kilometers:
Then:
This is the number of kilometers in a mile.
16.5831239518, i believe this is the answer
Answer:
Simplifying
3n + 7 = 30
Reorder the terms:
7 + 3n = 30
Solving
7 + 3n = 30
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3n = 30 + -7
Combine like terms: 7 + -7 = 0
0 + 3n = 30 + -7
3n = 30 + -7
Combine like terms: 30 + -7 = 23
3n = 23
Divide each side by '3'.
n = 7.666666667
Simplifying
n = 7.666666667
Step-by-step explanation:
Answer:
a.[144;158]$
b. The parameter estimated is the population mean of the weekly expenses on the food of American families.
Step-by-step explanation:
Hello!
The study variable for this problem is "Weekly expenses on food spent by an American family"($)
For a sample n=1014 American families the corresponding sample mean is x[bar]=$151
It is stated that for the 95%CI the margin of error is ±$7
a.
The confidence interval that estimates the population mean is constructed as the "estimator ± margin of error" for example, under a Standard Normal distribution the formula for the confidence interval is:
[x[bar]±
*(δ/√n)]
For the sample taken it is:
[151±7]
The inferior limit is 144$
The superior limit is 158$
b.
The parameter estimated is the population mean of the weekly expenses on the food of American families.
The confidence level of an interval is the probability under which it is built. This probability indicates that if they build 100 confidence intervals, we expect 95 to contain the value of the population mean we are trying to estimate.
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