Still begging? OK. Let's do it with algebra first then put in the numbers.
We're given the Circumference of a circle C, and we want the area A.
The radius is related to the circumference by
C = 2π r
The area is related to the radius by
A = π r²
Solving for r in the first equation,
r = C/(2π)
So the area is
A = π ( C/(2π) )² = πC²/(4π²) = C²/(4π)
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OK we're given C=25 1/7 inches, π≈22/7
C = (7×25 + 1)/7 = 176/7 = (22×8)/7
That's a little convenient.
A = C²/4π = ( (22×8)/7 )² / (4 (22/7) ) = (8²/4) (22/7) = (16*22)/7 = 352/7
After those nice numbers they want an approximation. How disappointing.
A = 50.2857142857 sq inches
Answer: 50.29
Set up a proportion: 25/100 = 50/n where n = # of teens surveyed
Simplify fraction: 1/4 = 50/n
Cross multiply: n = 200
So 200 teens were surveyed.
Answer:
a. z-score for the number of sags for this transformer is ≈ 1.57 . The number of sags found in this transformer is within the highest 6% of the number of sags found in the transformers.
b. z-score for the number of swells for this transformer is ≈ -3.36. The number of swells found in the transformer is extremely low and within the lowest 1%
Step-by-step explanation:
z score of sags and swells of a randomly selected transformer can be calculated using the equation
z=
where
- X is the number of sags/swells found
- M is the mean number of sags/swells
- s is the standard deviation
z-score for the number of sags for this transformer is:
z=
≈ 1.57
the number of sags found in the transformer is within the highest 6% of the number of sags found in the transformers.
z-score for the number of swells for this transformer is:
z=
≈ -3.36
the number of swells found in the transformer is extremely low and within the lowest 1%
Answer:
B-92
Step-by-step explanation:
Baku is the capital of Azerbaijan and is the lowest national capital in the world, sitting at 92 feet below sea level. Not only is it the lowest national capital by elevation, but it's also the biggest city found at levels this low with a total population of just over 2 million people as of 2016
Answer:
x+6y=9 - > y= (-1/6)x+(3/2)
x - 6y=-9 - > y= (1/6)x+(3/2)
-9x - 6y = -9 - > y = (-3/2)x +(3/2)
3x - y = - 6 - > y= 3x + 6
-63x - y = - 6 - > y = - 63x + 6
3x + y = 6 - > y = -3x +6
Step-by-step explanation:
The standard form of the equation of a line is: y=ax+b
You seperate y from x and the constant value(the number) and then devide tge equation with the coefficient of y. Obviously it mustnt be division by zero.
