Answer: The volume of the grapefruit is approximately 8 times as great as the volume of the lime.
Step-by-step explanation:
You need to use the formula for calculate the volume of a sphere. This is:
Where "r" is the radius.
<u>Volume of the grapefruit</u>
You know that its diameter is 16 centimeters.
Since the radius is half the diameter, you get that its volume is:
<u> Volume of the lime</u>
According to the information given in the exercise, the diameter of the lime is 8 centimeters.
As it was explained above, the radius is half the diameter. Knowing that, you get that volume of the lime is the shown below:
In order to find approximately how many times as great is the volume of theat grapefruit as the volume of that lime, you need to divide the volumes calculated above. Then:
Answer:
The bill size can be considered usual.
Step-by-step explanation:
Mean (μ) = $108.43
Standard deviation (σ) = $36.98
Now, consider the distribution to be normal distribution :
Now, finding values of z-score from the table. We get,
P(Z > 1.75) = 0.9599
⇒ 95.99%
So, only 4.01 % of the people in the city wastes water.
Hence, the bill size can be considered usual.
Answer:
Pythagorean Theorem:
a^2 + b^2 = c^2
6^2 + b^2 = 12^2
36 + b^2 = 144
b^2 = 108
b = 10.4
Let me know if this helps!
An=a1r^(n-1)
given
a5=1/24
a10=1/768
we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)
so
1/24=a1r^4
1/768=a1r^9
(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32
r^5=1/32
take 5th root of both sides
r=1/2
we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3
the first term is 2/3