Given that the sample mean is μ=74 and sample standard deviation σₓ=
.
Thge Z- score is 
.
Now we use the Z-score to calculate the required probability.
Refer to standard normal distribution table.
The required probability is
X=2y+11 and 4x+3y=11 so choose one of them. I choose x=2y+11 and solve it like this 4(2y+11)+3y=11
8y+44+3y=11
11y=-33
y=-3
The area of the trapezoid is 30
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:
t2=15
t3=28
t4=41
first term (a)=2
common difference (d)=13
General terms tn=a+(n-1)d
