A spring has a natural length of 25 meters. A force of 12 newtons is required to stretch the spring to a length of 30 meters. Ho
1 answer:
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Answer:
The test hypothesis is :
Step-by-step explanation:
Consider the provided information.
Null hypothesis refer the population parameter is equal to the claimed value.
If there is no statistical significance in the test then it is know as the null which is denoted by , otherwise it is known as alternative hypothesis which denoted by
.
The historical average lifetime for cartridges produced by the current process is 1502.5 pages.
Hence, the test hypothesis is :
<span>I chose a box of cereal-------> rectangular prism
</span>see the attached figure
Part 1)<span>List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length: 20 cm
Width: 8 cm
Height: 32 cm
Part </span><span>2).
Describe the shape of the cross-section when the box is cut parallel to the base
the shape of the </span>cross-section <span>would be a rectangle of dimensions
20 cm x 8 cm
Part 3)
</span><span>What is the surface area of the box?
</span>
surface area=2*area of the base+perimeter of the base*height
area of the base=20*8=160 cm²
perimeter of the base=2*[20+8]-----> 56 cm
height=32 cm
surface area=2*160+56*32------> 2,112 cm²
the answer part 3) is
2,112 cm²
Part 4)
<span>What is the surface area of the box if it is scaled up by a factor of 10?
</span>
we know that
surface area of the larger box=[scale factor]²*surface area original box
scale factor=10
surface area original box=2,112 cm²
so
surface area of the larger box=10²*2,112-----> 211,200 cm²
the answer part 4) is
211,200 cm²
Part 5)
<span>What is the volume of the box?
</span>
volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³
the answer Part 5) is
5,120 cm³
Part 6)
<span>What is the volume of the box if it is scaled down by a factor of 1/10
we know that
volume of the smaller box=[scale factor]</span>³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³
the answer part 6) is
5.12 cm³
