Answer:
The midpoint of this line segment is (-1.5, -4.5).
Step-by-step explanation:
In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:
-2 -1
x-coordinate of midpoint = --------- = -3/2 = -1.5
2
-4 -5
y-coordinate of midpoint = ---------- = -4.5
2
The midpoint of this line segment is (-1.5, -4.5).
Answer:
97.3%
Step-by-step explanation:
Let the three bulbs be A, B and C respectively.
Let P(A) denote the probability that the first bulb will burn out
Let P(B) denote the probability that the second bulb will burn out
Let P(C) denote the probability that the third bulb will burn out
Now, we are told that Each one has a 30% probability of burning out within the month.
Thus;
P(A) = P(B) = P(C) = 30% = 0.3
Now, probability that at the end of the month at least one of the bulbs will be lit will be given as;
P(at least one bulb will be lit) = 1 - (P(A) × P(B) × P(C))
P(at least one bulb will be lit) = 1 - (0.3 × 0.3 × 0.3) = 0.973 = 97.3%
First you would want to find the length of one eraser and then multiply that by 2. To find the length of one you take the total length or all of them and divide it my the total number of them. 29 1/4 is 117/4.
(117/4) / 13 Dividing by something is the same as multiplying by the opposite.
117/4 × 1/13 = 117/52
Now you multiply by 2.
117/52 * 2/1 Cross simplify
117/26 * 1/1
117/26 inches or 4 1/2 inches.
→ 
→ 
![\sqrt{[(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%5D%7D%20)
![\sqrt{[(3-(-4))^{2}+(-1-(-5))^{2}]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%283-%28-4%29%29%5E%7B2%7D%2B%28-1-%28-5%29%29%5E%7B2%7D%5D%7D%20)
![\sqrt{[7^{2}+4^{2}]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B7%5E%7B2%7D%2B4%5E%7B2%7D%5D%7D%20)
![\sqrt{[49+16]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B49%2B16%5D%7D%20)
