9514 1404 393
Answer:
the marked choice is the correct one
Step-by-step explanation:
A suitable calculator or web app can reduce this matrix for you.
The solution is represented by the matrix ...
![\left[\begin{array}{ccc|c}1&0&0&1\\0&1&0&-1\\0&0&1&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D1%260%260%261%5C%5C0%261%260%26-1%5C%5C0%260%261%263%5Cend%7Barray%7D%5Cright%5D)
Slope is -2/3 and y-intercept is 10
If one basket is selected at random, the probability that both are mangoes is; 1/10
<h3>How to find probabilities?</h3>
Contents of first basket;
3 mangoes
4 oranges
3 apples
Contents of second basket;
5 mangoes.
5 oranges.
5 apples.
Probability of mango in first basket is = 3/10
Probability of mango in second basket is = 5/15
Thus;
Probability that both are mangoes = (3/10) * (5/15)
Probability that both are mangoes = 1/10
Read more about Probabilities at; brainly.com/question/24756209
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Two packages of 9.
• 9+9=18
OR
One package of 12 and one package of 6.
•12+6=18
Answer:
2.45 seconds to the nearest hundredth.
Step-by-step explanation:
Acceleration a = -5, distance s = 15, time = ?.
Final velocity = v = 0.
We need to use the equations of motion under constant acceleration.
v^2 = u^2 + 2as where u is the initial velocity
0 = u^2 + 2*-5*15
u^2 = 150
so u = √150
Now we use v = u + at:
0 = √150 - 5t
t = √150/5
t = 2.45 seconds.