Answer:
The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343
Step-by-step explanation:
In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.
Mathematically, the volume of a sphere V can be calculated using the formula
V = 4/3 * π * r^3
Now multiplying the radius by 1/7, the new radius will be r/7
Thus the new volume here will be
V2 = 4/3 * π * (r/7)^3
V2 = 4/3 * π * (r^3)/343
Thus we can conclude that the value of the volume will be decreased by a factor of 343
Meaning the ratio of the old volume to the new volume will be 1 to 343
58.....2wt.r3y2teyt3y2.te.32ty.32tye.t32y.tey32t..enkuuhuh
Answer: 0.336
Step-by-step explanation:
n=7
r=2,1,0
p=44%=0.44
q=1-0.44=0.56
7C2(0.44)^2(0.55)^5 +
7C1(0.44)^1(0.56)^6 +
7C0(0.44)^0(0.56)^7
Evaluate:
0.2239055109+
0.0949902167 +
0.0172709485
Sum: 0.33617= 0.336
Answer:
The area of the rectangle is 2820 square inches. The length is 60 inches. The width is 47 inches.
Step-by-step explanation:
Since we know the equation to find the width, we have to set them both to the perimeter of 90 inches. We will use the variable <em>x</em> to represent the length.
<em>x + x - 30 = 90</em>
<em>2x - 30 = 90</em>
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You would then subtract 30 from both sides.
<em>2x = 60</em>
Divide by 2 on both sides, finding that the length (x) is 30 inches.
<em> x = 30 inches.</em>
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Then, subtract 13 inches from the length to find your width.
<em>60 - 13 = 47 inches</em>
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To find your area, you would multiply both of your factors (length and width) together.
<em> 60 x 47 = 2,820</em>
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And those are your answers!
