A lab technician has to fill the tank given below. Find it’s volume .
1 answer:
Answer:
The volume of the cylinder shown in the figure is 628 cube meters
Step-by-step explanation:
Given figure is about cylinder
The height of the cylinder = h = 8 meters
The radius of the base of cylinder = r = 5 meters
Now, let The volume of cylinder = V m³
So, The volume of cylinder is given as V = ×r²×h
where r is the radius of its base
And h is the height of cylinder
The value of = 3.14
So, V = × r² × h
Or, V = 3.14 × (5)² × 8
Or, V = 3.14 × 25 × 8
or, V = 628 m³
So, The volume of cylinder = V = 628 m³
Hence The volume of the cylinder shown in the figure is 628 cube meters Answer
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Answer:
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
d. z= 1.3322
Step-by-step explanation:
We formulate our hypothesis as
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
According to the given conditions
p`= 31/225= 0.1378
np`= 225 > 5
n q` = n (1-p`) = 225 ( 1- 31/225)= 193.995> 5
p = 0.4 x= 31 and n 225
c. Using the test statistic
z= p`- p / √pq/n
d. Putting the values
z= 0.1378- 0.11/ √0.11*0.89/225
z= 0.1378- 0.11/ √0.0979/225
z= 0.1378- 0.11/ 0.02085
z= 1.3322
at 5% significance level the z- value is ± 1.645 for one tailed test
The calculated value falls in the critical region so we reject our null hypothesis H0 : p ≤ 0.11 and accept Ha : p >0.11 and conclude that the data indicates that the 11% of the world's population is left-handed.
The rejection region is attached.
The P- value is calculated by finding the corresponding value of the probability of z from the z - table and subtracting it from 1.
which appears to be 0.95 and subtracting from 1 gives 0.04998
