For this case we have that by definition, the distance between two points is given by:
![d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%20%7B%28x_%20%7B2%7D%20-x_%20%7B1%7D%29%20%5E%202%2B%20%28y_%20%7B2%7D%20-y_%20%7B1%7D%29%20%5E%202%7D)
We have to:
![(x_ {1}, y_ {1}) = (- 4,4)\\(x_ {2}, y_ {2}) = (2,4)](https://tex.z-dn.net/?f=%28x_%20%7B1%7D%2C%20y_%20%7B1%7D%29%20%3D%20%28-%204%2C4%29%5C%5C%28x_%20%7B2%7D%2C%20y_%20%7B2%7D%29%20%3D%20%282%2C4%29)
Substituting:
![d = \sqrt {(2 - (- 4)) ^ 2+ (4-4) ^ 2}\\d = \sqrt {(2 + 4) ^ 2 + (4-4) ^ 2}\\d = \sqrt {(6) ^ 2 + (0) ^ 2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%20%7B%282%20-%20%28-%204%29%29%20%5E%202%2B%20%284-4%29%20%5E%202%7D%5C%5Cd%20%3D%20%5Csqrt%20%7B%282%20%2B%204%29%20%5E%202%20%2B%20%284-4%29%20%5E%202%7D%5C%5Cd%20%3D%20%5Csqrt%20%7B%286%29%20%5E%202%20%2B%20%280%29%20%5E%202%7D)
![d = \sqrt {36}\\d = 6](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%20%7B36%7D%5C%5Cd%20%3D%206)
ANswer:
![d = 6](https://tex.z-dn.net/?f=d%20%3D%206)
4, 3, 2, 5, 6, 6, 10, 5, 6, 2, 3, 4, 6, 7, 14,5<br><br>
3. What is the mode(s) of the data set?
guapka [62]
Answer:
6
Step-by-step explanation:
6 shows up 4 times
A = L * W
A / L = W <==
when A = 42 and W = 16.8
A / L = W
42/16.8 = W
2.5 = W <=== width = 2.5 inches
Answer:
Step-by-step explanation:
density is mass divided by volume, so 25g divided by 10 cm = 2.5 g
Answer:
The most suitable experimental simulation to find the probability of getting the six toys is by rolling the dice and recording the occurrences.
Step-by-step explanation:
As there are a total of 6 different dinosaurs, the probability of each of them is given as
P(X=one dinosaur)=1/6
In order to design an experiment, as the data is completely random and unknown, thus the experiment is designed such that the probability of individual option is 1/6.
In this regard the most suitable option is rolling a dice, numerous times and recording the occurrences accordingly.