Answer:
The area of the circular ring is 53.73 π sq. yards
Step-by-step explanation:
The diameter of the skating ring = 44 ft
Diameter = 2 x Radius
⇒Radius of the ring = 44 / 2 = 22 ft
Now, 1 ft = 0.333333 yards
⇒22 ft = 22 x 0.333333 yards = 7.3333 yards
Now, Area of the circular Ring =
or,
= 53.73 π sq. yards
or, the area of the circular ring is 53.73 π sq. yards
Answer:
Option D) I and II only
Step-by-step explanation:
We are given the following in the question:
Regression equation:
where w is the weight in pounds and h is the height in inches.
Since the weight depends on height, height becomes the independent variable and weight becomes the dependent variable.
I. A person who is 61 inches tall will weigh 104.6 pounds
When h = 61,
Thus, the given statement is true.
II. For every additional inch of height, the predicted weight will increase, on average, by 3.6 pounds.
If the height increases by 1 unit, then,
Thus, the given statement is correct.
III. The correlation between weight and height is negative.
No, the given statement is not correct as with increase in height the weight increases and with decrease in height the weight decreases.
Thus, the correct answer is
Option D) I and II only
A cube has all sides of equal length.
So let the side be x
that will be length = width = height = x
Now, when we cut the loaf into 5 equal slices, the length and height of the slices are the same as the original loaf. But the width will become less with each slicing. Here the width corresponds to the thickness of the slices.
For each slice the dimensions are -
Length = x
height = x
width = 0.6
Volume of the original loaf is x³.
Volume of 5 slices is 5(x * x * 0.6).
Volume that is left after the cutting the slices is 235 inch³.
So, equation of the volume is=
x³ - 5(0.6x²) = 235
Solve for x using this equation.
x³ - 3x² = 235
x³ - 3x² - 235 = 0
Using a graph calculator to find the roots, we get
x = 7.35
Hence the dimensions of the original loaf is 7.35 inches for each side.
Please find attached the graph.
Answer:
x=16.1
Step-by-step explanation:
Divide both sides by -0.5
Add 7.1 to both sides
Hope this helps!