Answer:
10.45
Step-by-step explanation:
To solve it without the calculator:
First, you multiply 4.75 times 0.2 (0.95)
Then you multiply 4.75 times 2 (9.5)
Then you add the 2 numbers to get the answer.
0.95 + 9.5 = 10.45
With the calculator, just put in the 2 numbers and click enter!
Answer:
What do you need help with?
Step-by-step explanation:
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
Answer:
a) SPAZ is equilateral.
b) Diagonals SA and PZ are perpendicular to each other.
c) Diagonals SA and PZ bisect each other.
Step-by-step explanation:
At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.
a) If figure is equilateral, then SP = PA = AZ = ZS:
![SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}](https://tex.z-dn.net/?f=SP%20%3D%20%5Csqrt%7B%5B4-%28-4%29%5D%5E%7B2%7D%2B%5B%28-2%29-%28-4%29%5D%5E%7B2%7D%7D)
![PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}](https://tex.z-dn.net/?f=PA%20%3D%20%5Csqrt%7B%286-4%29%5E%7B2%7D%2B%5B6-%28-2%29%5D%5E%7B2%7D%7D)
![ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}](https://tex.z-dn.net/?f=ZS%20%3D%20%5Csqrt%7B%5B-4-%28-2%29%5D%5E%7B2%7D%2B%28-4-4%29%5E%7B2%7D%7D)
Therefore, SPAZ is equilateral.
b) We use the slope formula to determine the inclination of diagonals SA and PZ:
Since 
, diagonals SA and PZ are perpendicular to each other.
c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:
Then, the diagonals SA and PZ bisect each other.
