Answer:
x = 21
Step-by-step explanation:
Using ratios:
75 : 25 = x : 7
75/25 = x/7
3 = x/7
21 = x
Using Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse of a right triangle:
MO bisects ∠LMN, m∠NMO =6x-20,and 2x+36. Solve for x and find m∠LMO
1 answer:
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Answer:
If d<2, there is no intersection
If d=2, there is one intersection
If 2<d<8, there are two intersections
If d=8, there is one intersection
if d>8, there is no intersection
Step-by-step explanation:
If d<2 (the difference between both radius is 2), the little circle is inside the big one. Thus there is no intersection.
If d=2, the little circle is inside but tangent to the big one. There is one intersection then.
If 2<d<8, there are two intersections since the little circle has a portion outside the big one, and another portion inside.
If d=8, the little circle is tangent to the big one from outside. There is one intersection then.
if d>8, the little circle is completely exterior to the big one. Thus, there is no intersection.
Please find attached the figure for d = 10. The big circle is centered and the other is offset by 10.
Answer:
24.6 < μ < 27.2
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 25.9 - 1.3 = 24.6 pounds.
The upper end of the interval is the sample mean added to M. So it is 25.9 + 1.3 = 27.2 pounds.
So the correct answer is:
24.6 < μ < 27.2