Answer:
2 and 3
Step-by-step explanation:
Congruent means that they look the same. 2 and 3 are the only ones that look the same.
Based on the information given, the number is 13
<h3>How to determine the number</h3>
From the information given;
Let the number be x
We have that;
3(my number) + 10 = my number + 36
Substitute the number as x, we have;
3x + 10 = x + 36
collect like terms
3x - x = 36 - 10
2x = 26
Make 'x' the subject of formula
x = 26/ 2
x = 13
The number is 13
Thus, based on the information given, the number is 13
Learn more about algebraic expressions here:
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Answer:
C
Step-by-step explanation:
When completing the square, we essentially want to create a perfect square trinomial by adding a constant.
If we have the following expression:

And we want to complete the square, we will need to divide the b-coefficient by half and then square it.
Thus, the added term should be:

In the given equation, we have:

The b term here is 8. Therefore:

The value we would add would be 16.
The answer is C.
Further notes:
To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:

The expression inside the parentheses is now a perfect square trinomial. Factor it:

And we are done!
Answer:
a) 0.1353
b) 0.3679
Step-by-step explanation:
Let's start by defining the random variable T.
T : ''The time (in hours) required to repair a machine''
T ~ exp (λ)
T ~ exp (1)
The probability density function for the exponential distribution is
(In the equation I replaced λ = L)

With L > 0 and x ≥ 0
In this exercise λ = 1 ⇒

For a)





For b)

The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur



Answer:
A. No
Step-by-step explanation:
y = 2x + 4
(5) = 2(1) + 4
5 = 2 + 4
5 = 6 (false statement)