Answer: 1/18
Step-by-step explanation: The x's basically cancel each other out so all that is left is the 1 and the 18
The type of sampling used in this scenario is "simple random sampling." In other words, the type of sampling used in this scenario is simple random sampling because each contestant's name has an equal chance of being selected from the bag.
Simple random sampling is a method where each member of the population has an equal chance of being selected. In this case, all the contestant names are written on separate cards, and three names are picked from the bag. Since each card has an equal probability of being selected, this represents simple random sampling.
Other types of sampling, such as stratified sampling or cluster sampling, involve dividing the population into groups or clusters and selecting samples from those groups. However, since the scenario doesn't mention any specific grouping or clustering of the contestants, simple random sampling is the most appropriate classification.
Therefore, the type of sampling used in this scenario is simple random sampling because each contestant's name has an equal chance of being selected from the bag.
Learn more about different sampling here:
#SPJ2
Answer:
The perimeter of ∆ABC is 32.44 units, and its area is 30 square units....
Step-by-step explanation:
The perimeter is the sum of three distances.
To find the distances BC, CD, DB use the distance formula:
D=√(y2-y1)^2+(x2-x1)^2
We have given A(2, 8), B(16, 2), and C(6, 2).
AB= √(16-2)^2+(2-8)^2
AB= √(14)^2+(-6)^2
AB=√196+36
AB=√232 = 15.23
BC=√(6-16)^2+(2-2)^2
BC=√(-10)^2+0
BC=√100 = 10
CA = √(2-6)^2+(8-2)^2
CA=√(-4)^2+(6)^2
CA=√16+36
CA=√52 = 7.21
Perimeter = AB+BC+CA
Perimeter = 15.23+10+7.21
Perimeter = 32.44 units
For the area BC is the parallel to x-axis
area = (1/2)base * height
=(1/2)10*(ya-yb)
=(1/2)10*(8-2)
=(1/2)10*6
=30 unit²
The perimeter of ∆ABC is 32.44 units, and its area is 30 square units....
Answer:
perimeter of ∆ABC is 32.44 units, and its area is 30 square units
Step-by-step explanation:
plato
Answer:
The stopping distance for a car traveling 40 mph is 240 feet.
Step-by-step explanation:
We are given the following in the question:
The stopping distance (s) of a car varies directly as the square of its speed (v)
Removing the sign of proportionality and adding constant of proportionality, we get
where k is constant of proportionality.
Now, when s = 60 feet, v = 20 mph
Putting values, we get,
Putting value of k in the equation, we get,
We have to find the stopping distance for a car traveling 40 mph.
Thus, the stopping distance for a car traveling 40 mph is 240 feet.
Answer:
Step-by-step explanation:
6.5x + 14 = 2.25x - 20
4.25x + 14 = -20
4.25x = -34
x= -8
Answer: -8
Step-by-step explanation: 2.25x-20 = 6.5x +14
Subtract 14 on both sides and rearrange, 6.5x= 2.25x -34
then subtract 2.25x from both sides, 4.25x= -34
Finally divide both sides by 4.25 to get x = -8
Hope this helped!
b)60