Answer:
Step-by-step explanation:
Given <u>v</u> = < - 5, 9 > then the magnitude is
| <u>v</u> | = 
= 
=
Solve equation [1] for the variable x [1] x=(3y+6)
Plug this in or variable x in equation [2]
[2] 2(-3y+6)-y= 10
[2] -7y=-2
// solve equation [2] for the variable y
[2] 7y= 2
[2] y=2/7
By now we know this much
X= -3y+6
Y=2/7
Use the y value to solve for x
X=-3(2/7)+6=36/7
(x,y)=(36,7), (2/7)
The number is 51
x/3+19= 36
x/3=36-19
x= 17x3
x=51
The required probability for
a. 0.2058
b. 0.98
c.0.016
<h3>
What is probability?</h3>
Probability can be defined as the ration of favorable outcomes to the total number of events.
Let use binomial distribution.
Probability answering a question correctly=1/3 =0.33
Probability of not answering a question correctly
=1–1/3
=2/3
a) Out of 10 probability of answering 4 correctly
=10c4 x (0.33)^4 x (0.66)^6
Upon simplification, 0.2058
b) Find the probability for getting at least 2 correct answers
= 1 - { 10c8 x (0.33)^8 x (0.66)^2+ 10c9 x (0.33)^9 x (0.66)^1 + (0.33)^10}
= 0.98
c).Find the probability for getting 2 or 3 incorrect answers.
10c8 x (0.33)^8 x (0.66)^2 + 10c7 x (0.33)^7 X (0.66)^3
=0.002 + 0.014
= 0.016
Thus the required probabilities are: 0.2058, 0.98 , 0.016
Learn more about probability here:
brainly.com/question/14290572
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