Answer:
<em>P=760</em>
Step-by-step explanation:
Three of the coordinates of the square ABCD are A(-212,112) B(-212,-3) C(2,112). The image below shows the square is not ABCD but ABDC. In fact, this is not a square, as we'll prove later.
Note the x-coordinate of A and B are the same. It means this side is parallel to the y-axis. Also, the y-coordinate of A and C are the same, meaning this side is parallel to the x-axis. The missing point D should have the same x-coordinate as C and y-coordinate as B, i.e. D=(2,-3).
This shape has sides that are parallel to both axes.
To calculate the perimeter we find the length of two sides.
The distance from A to B is the difference between their y-axis:
w=112-(-3)=115
The distance from A to C is the difference between their x-axis:
l=2-(-212)=215
It's evident this is not a square but a rectangle. The perimeter is
P=2w+2l=330+430
P=760
Answer:1
Step-by-step explanation:
Answer:
The option on the top right.
Step-by-step explanation:
Because this is to be done asap, I will not take time to explain.
Answer:
the fourth answer
Step-by-step explanation:
this is because 6 x 10 is 60, and is you multiply the height by 3 it gives you 3(6) x 10 which can also be written as 18 x 10 which is equal to 180
divide 180 by 60 which will give you 3, this shows you that the growth from the original area to the new area is 3 times, so the ratio is 3:1
Answer:
The probability of getting two consumers comfortable with drones is 0.3424.
Step-by-step explanation:
The probability that a consumer is comfortable having drones deliver their purchases is, <em>p</em> = 0.43.
A random sample of <em>n</em> = 5 consumers are selected, and exactly <em>x</em> = 2 of them are comfortable with the drones.
To compute the probability of getting two consumers comfortable with drones followed by three consumers not comfortable, we will use the Binomial distribution instead of the multiplication rule to find the probability.
This is because in this case we need to compute the number of possible combinations of two consumers who are comfortable with drones.
So, <em>X</em> = number of consumers comfortable with drones, follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.43.
Compute the probability of getting two consumers comfortable with drones as follows:
![P(X=x)={5\choose x}\ 0.43^{x}\ (1-0.43)^{5-x};\ x=0,1,2,3...](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%7B5%5Cchoose%20x%7D%5C%200.43%5E%7Bx%7D%5C%20%281-0.43%29%5E%7B5-x%7D%3B%5C%20x%3D0%2C1%2C2%2C3...)
![P(X=2)={5\choose 2}\ 0.43^{2}\ (1-0.43)^{5-2}](https://tex.z-dn.net/?f=P%28X%3D2%29%3D%7B5%5Cchoose%202%7D%5C%200.43%5E%7B2%7D%5C%20%281-0.43%29%5E%7B5-2%7D)
![=10\times 0.1849\times 0.185193\\=0.342421857\\\approx 0.3424](https://tex.z-dn.net/?f=%3D10%5Ctimes%200.1849%5Ctimes%200.185193%5C%5C%3D0.342421857%5C%5C%5Capprox%200.3424)
Thus, the probability of getting two consumers comfortable with drones is 0.3424.