Answer:
The correct option is 1.
Step-by-step explanation:
The given function is
It is an absolute function. The transformation of function is defined as
Where, a is horizontal shift and b is vertical shift.
If a>0, then graph shifts a units left, if a<0, then graph shifts a units right.
If b>0, then graph shifts b units up, if b<0, then graph shifts b units down.
If is given that the graph translate 2 units left. Therefore the value of a is 2 and the value of b is 0.
The required function is
Therefore the correct option is 1.
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Radius of circle = 10 inches
Central angle is given by
As we know the formula for " Length of an arc " :
Length of arc is given by
Hence, length of an arc is 20.95 inches.
Hence, Option 'C' is correct.
The answer is in the image. We need 3.625 gallons to fill the tank.
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
