Answer:
Option B. The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
The volume of a rectangular prism is equal to

where
B is the area of the base of the prism
H is the height of the prism
In this problem we have
The area of the base B is equal to

The height H is equal to

therefore
The volume is equal to

The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3
Number of tiguers: x + 2
Number of Lions: x
Number of bears:(x+2)+1=(x+3)
We can suggest this equation:
(x+2) + (x)+(x+3)=20
3x+5=20
3x=20-5
3x=15
x=15/3
x=5.
Therefore:
Number of tiguers: x + 2=5+2=7
Number of Lions: x=5
Number of bears:(x+2)+1=(x+3)=5+3=8.
Answer: there are 7 tiguers, 5 lions and 8 bears.
Answer: 35%
Step-by-step explanation:
20 bars
7 unshaded - not installed
7/20 = 0.35 = 35%
Answer:
The mean is 40.35 and the standard deviation is 0.13.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4.
Sample of 10:
By the Central Limit Theorem, the mean is 40.35, and the standard deviation is 
The mean is 40.35 and the standard deviation is 0.13.