Answer:
8.4 in
Step-by-step explanation:
Solution:-
- We consider the large right angle triangle namely, " XVW "
- We will recall all the trigonometric ratios that are applicable to all right angled triangles.
- While we are dealing with trigonometric ratios we have the following terms that needs to be correlated with the given specific problem:
Hypotenuse ( H ): Side opposite to 90 degrees angle
Base (B): The side adjacent to the available angle ( θ )
Perpendicular (P): The side opposite to the available angle ( θ )
- We will go ahead and mark our respective sides as follows:
Angle ( θ ) : 34°
Hypotenuse ( H ) : XW = 15 in
Base ( B ) : VW
Perpendicular ( P ) : VX
- Now recall all the trigonometric ratios studied:
sin ( θ ) = P / H = VX / XW
cos ( θ ) = B / H = VW / XW
tan ( θ ) = P / B = VX / VW
- Now choose the appropriate trigonometric ratio with two values given and one ( VX ) that needs to be determined as follows:
sin ( θ ) = P / H = VX / XW
sin ( 34° ) = VX / 15
VX = 15*sin ( 34° )
VX = 8.387 .. ( 8.4 ) in
Answer:
The interpretation is that we are 90% sure that the true average salary of the district is in this interval.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
The 90% confidence interval for the average salary of the district is [41500,49750].
This means that we are 90% sure that the true average salary of the district is in this interval.
Answer:
55.6%
Step-by-step explanation:
The fraction 90/162 in its decimal equivalent is 0. 556. Multiplying this by 100 yields the percentage 55.6%.
Answer:
The process of digging a site includes
D or B
Answer: Random sampling
Step-by-step explanation:
- A random sampling technique is a method of sampling in which each member for the sample is chosen randomly from the population.
- Systematic sampling : It is a kind of random sampling in which the members get selected after a fixed interval but a random starting point.
- Convenience sampling : It is a kind of random sampling in which the members get selected on the basis of researchers convenience.
- Stratified sampling : It is a kind of random sampling in which the entire population is divided into a finite number of strata , the researcher select members for sample from each strata.
- Cluster sampling : It is a kind of random sampling in which the entire population is divided into clusters. Then a random sample of cluster is drawn by researcher.
In the given situation , 784 adults are selected after their telephone numbers were randomly generated by a computer.
Therefore , the type of sampling used here is : random sampling