It's less confusing if you only think about one of them at a time.
A).
Change the whole thing to all inches.
(Multiply the 8-ft by 12inches/foot.)
Then, when you have it all in one number of inches,
multiply that number of inches by (2.54 centimeters/inch).
B).
1 ounce is the weight of 28.35 grams (on Earth).
Multiply the 300g by (1 ounce / 28.35 g).
C).
Multiply the liters by (0.264 gallon/liter)
Multiply the km by (1 mile / 1.609 km).
Then you'll have a fraction that actually means
(a number of gallons) divided by (a number of miles).
Do the division, and you'll have the gallons per mile.
D).
The area of any rectangle is (length) times (width).
The area of this living room is (13-ft times 14-ft), and that's in square feet.
You know how much 1 square foot of carpet costs.
Just multiply that price by the number of square feet that you need.
10 is the population mean.
The SRS he takes, the simple random sample, is the 60 horses with colic. The population would be all of the horses seen at the clinic. Therefore the mean of the horses seen at the clinic would be the population mean.
Answer:
If a+b+c=1,
a
2
+
b
2
+
c
2
=
2
,
a
3
+
b
3
+
c
3
=
3
then find the value of
a
4
+
b
4
+
c
4
=
?
we know
2
(
a
b
+
b
c
+
c
a
)
=
(
a
+
b
+
c
)
2
−
(
a
2
+
b
2
+
c
2
)
⇒
2
(
a
b
+
b
c
+
c
a
)
=
1
2
−
2
=
−
1
⇒
a
b
+
b
c
+
c
a
=
−
1
2
given
a
3
+
b
3
+
c
3
=
3
⇒
a
3
+
b
3
+
c
3
−
3
a
b
c
+
3
a
b
c
=
3
⇒
(
a
+
b
+
c
)
(
a
2
+
b
2
+
c
2
−
a
b
−
b
c
−
c
a
)
+
3
a
b
c
=
3
⇒
(
a
+
b
+
c
)
(
a
2
+
b
2
+
c
2
−
(
a
b
+
b
c
+
c
a
)
+
3
a
b
c
=
3
⇒
(
1
×
(
2
−
(
−
1
2
)
+
3
a
b
c
)
)
=
3
⇒
(
2
+
1
2
)
+
3
a
b
c
=
3
⇒
3
a
b
c
=
3
−
5
2
=
1
2
⇒
a
b
c
=
1
6
Now
(
a
2
b
2
+
b
2
c
2
+
c
2
a
2
)
=
(
a
b
+
b
c
+
c
a
)
2
−
2
a
b
2
c
−
2
b
c
2
a
−
2
c
a
2
b
=
(
a
b
+
b
c
+
c
a
)
2
−
2
a
b
c
(
b
+
c
+
a
)
=
(
−
1
2
)
2
−
2
×
1
6
×
1
=
1
4
−
1
3
=
−
1
12
Now
a
4
+
b
4
+
c
4
=
(
a
2
+
b
2
+
c
2
)
2
−
2
(
a
2
b
2
+
b
2
c
2
+
c
2
a
2
)
=
2
2
−
2
×
(
−
1
12
)
=
4
+
1
6
=
4
1
6
Extension
a
5
+
b
5
+
c
5
=
(
a
3
+
b
3
+
c
3
)
(
a
2
+
b
2
+
c
2
)
−
[
a
3
(
b
2
+
c
2
)
+
b
3
(
c
2
+
a
2
)
+
c
3
(
a
2
+
c
2
)
]
=
3
⋅
2
−
[
a
3
(
b
2
+
c
2
)
+
b
3
(
c
2
+
a
2
)
+
c
3
(
a
2
+
b
2
)
]
Now
a
3
(
b
2
+
c
2
)
+
b
3
(
c
2
+
a
2
)
+
c
3
(
a
2
+
b
2
)
=
a
2
b
2
(
a
+
b
)
+
b
2
c
2
(
b
+
c
)
+
c
2
a
2
(
a
+
c
)
=
a
2
b
2
(
1
−
c
)
+
b
2
c
2
(
1
−
a
)
+
c
2
a
2
(
1
−
b
)
=
a
2
b
2
+
b
2
c
2
+
c
2
a
2
−
(
a
2
b
2
c
+
b
2
c
2
a
+
c
2
a
2
b
)
=
−
1
12
−
a
b
c
(
a
b
+
b
c
+
c
a
)
=
−
1
12
−
1
6
⋅
(
−
1
2
)
=
0
So
a
5
+
b
5
+
c
5
=
6
−
0
=
6
Step-by-step explanation:
Answer:
0.3157
Step-by-step explanation:
Given that according to a certain news poll, 71% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly,
Let A be the event that it should be the government's responsibility to provide a decent standard of living for the elderly, and B the event that it would be a good idea to invest part of their Social Security taxes on their own
P(B) = 41%=0.41
A and B are independent
Hence P(both)=![0.77(0.41) = 0.3157\\](https://tex.z-dn.net/?f=0.77%280.41%29%20%3D%200.3157%5C%5C)
the probability that a person agreed with both propositions
= Probability for both A and B
= P(A) P(B) since A and B are independent
= 0.3157
Answer:
$16,725.21
Step-by-step explanation:
To get the cost of the copper used for the sculpture, we must first determine the volume of the object which is given as a cone
Recall that the volume V of a cone
= 1/3Pir^2h
where r is the base radius and h is the height
Given that the sculpture is 67 inches tall, and its base has a radius of 15 inches, the volume of the sculpture
= 1/3 * 3.14 * 15^2 * 67
= 15,778.5 cubic inch
If copper costs 1.06$ per cubic inch, then the cost of the copper for the sculpture
= 15,778.5 * 1.06
= $16,725.21