Answer:
A. This study is an experiment, since it was based on a random sample.
Step-by-step explanation:
Simple random sampling is a probabilistic sampling procedure that gives each element of the target population and each possible sample of a given size the same probability of being selected.
Answer:

Step-by-step explanation:
Given : The formula 
We have to rearrange the given formula for 
Consider the given formula 
Multiply both side by 2, we have,

Divide both side by
, we have,

Simplify, we get,

Thus,
The area of the given shape is 220.24 square cm.
Step-by-step explanation:
Step 1;
Area of given shape = Area of the rectangle + Area of the quarter circle.
The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.
The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.
Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.
200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.
Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.
So the quarter circle covers an area of 50.24 square cm.
Step 2;
Area of given shape = Area of the rectangle + Area of the quarter circle
Area of given shape = 170 + 50.24 = 220.24 square cm.
Answer:
2. Tom ran from his house to the bus stop and waited. He realised that he missed the bus so he walked home
Step-by-step explanation:
He ran to the bus stop so his distance from his home is far, then he waited so the distance did not change, and then he went back home so the distance to the house got smaller again.
Answer: C.) 4/27
Step-by-step explanation:
Given that:
One out of three cards is a winner :
P(winning) = 1 / 3
Therefore, P(not winning) = P(losing) :
1 - P(winning) = 1 - 1/3 = 2/3
Probability that shenice will first win on her third try can be interpreted as:
1st try = lose, 2nd try: lose, 3rd try : win
P(losing) × p(losing) × p(winning)
(2/3) × (2/3) × (1/3)
4 / 27
Probability of first winning on third try = 4/27