90 = right angle
Any angle bigger than 90 is obtuse and any angle smaller than 90 is acute
Answer:
Answer3. 9.9cm^3
Step-by-step explanation:
First calculate the volume of the whole pencil. Next, calculate the volume of the lead. Last, subtract. Take away the volume of the lead from the volume of the pencil:
VolWood =
VolPencil - VolLead
First, Volume of the pencil:
vol = pi•r^2•h
= 3.14•(.4)^2•21
= 10.5504 cm^3
Next, volume of lead:
vol = pi•r^2•h
= pi•(.1)^2•21
= .6594cm^3
Last, subtract:
VolWood =
VolPencil - VolLead
= 10.5504 - .6594
= 9.891
~= 9.9cm^3
The volume of the wood is 9.9cm^3.
Answer:
The minimum sample size required is 25 so that margin of error is no more than 3 minutes.
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 42 minutes
Standard Deviation, σ = 9 minutes.
We want to build a 90% confidence interval such that margin of error is no more than 3 minutes.
Formula for margin of error:
Putting values, we get.
Thus, the minimum sample size required is 25 so that margin of error is no more than 3 minutes.
Answer:
y=8x-11
Step-by-step explanation:
Use Point-Slope Form
Which is y-y1=m(x-x1)
If we fit the coordinates and slope in the equation, it is y-5=8(x-2)
=y-5=8x-16
=y=8x-16+5
=y=8x-11
And so the answer of the problem is y=8x-11
