Answer:
Anna's walk as a vector representation is 
and refer attachment.
Step-by-step explanation:
Let the origin be the point 1 from where Ann start walking.
Ann walks 80 meters on a straight line 33° north of the east starting at point 1 as shown in figure below,
Resolving into the vectors, the vertical component will be 80Sin33° and Horizontal component will be 80Cos33° as shown in figure (2)
Ann walk as a vector representation is
Thus, Anna's walk as a vector representation is
The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.
According to the statement
we have given that If 15 actuators have failed and we have to find the probabilities on some conditions.
we know that the formula of probabilities is
probability = possible outcomes / total outcomes
So,
- at least 10 are repairable = 1 - (10 are not repairable)
at least 10 are repairable = 1 - 10/15
at least 10 are repairable = (15 - 10)/15
at least 10 are repairable = (5)/15
at least 10 are repairable = 1/3
- from 3 to 8 are repairable = 3/15 *8/15
from 3 to 8 are repairable = 1/5 *8/15
- exactly 5 are repairable = 5/15
exactly 5 are repairable = 1/3
These are the probabilities of the given conditions.
So, The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.
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Answer:
17 and 38
Step-by-step explanation:
x + y = 55......x = 55 - y
x * y = 646
y(55 - y) = 646
55y - y^2 = 646
y^2 - 55y + 646 = 0
(y - 17)(y - 38) = 0
y - 17 = 0 y - 38 = 0
y = 17 y = 38
ur numbers are 17 and 38
Answer:
-1/4
Step-by-step explanation:
Take two points on the line
(-4,-1) and (0,-2)
Using the slope formula
m = (y2-y1)/(x2-x1)
= ( -2 - -1)/( 0 - -4)
= (-2+1)/ ( 0+4)
-1/4
I hope this helps you
y=x^2-8x+16-6
y=(x-4)^2-6
h= -(-4)=4
k= -6
