Answer:
Step-by-step explanation:
Since your population are the students in math class, you can use the z-score formula 
in order to comparing the two math test scores. Where 
is the mean for the class, 
is the standars deviation and x is Mary score.
For the first test 
, so ,
.
For the second test 
, so ,
Mary do better in the second test, relative to the rest of the class (because 
, it means the second score is nearer to the mean score of the class than the first one )
Answer:
4/1
Step-by-step explanation:
8/8=1, so 32/8=4
d)
Product rule:
Chain and power rules:
Power rule:
Now simplify.
e)
Quotient rule:
Power rule:
Now simplify.
f)
Chain rule:
We can further simplify this to
using the double angle identity for sine.
Step-by-step explanation:
Easy:)
×
=
×
=
×
Have a nice day! :)
-Vana
Answer:
a). total length of rope=132 m
b). total cost of the rope=$528
Step-by-step explanation:
Step 1
To get the total length of rope needed to cover the circular garden twice, we express this as;
P=πD
where;
P=perimeter
π=pi
D=diameter
In our case;
π=22/7
D=21 m
replacing;
P=(22/7)×21=66 m
2×P=2×66=132 m
total length of rope=132 m
Step 2
The expression to calculate the total cost can be written as;
total cost=cost per meter length×total length of rope
where;
cost per meter=$4
total length of rope=132 m
replacing;
total cost=4×132=$528
total cost of the rope=$528
