Answer:
something is happening means it's wrong.
Answer:
x = -
, x = 
Step-by-step explanation:
Given
x² - x -
= 0 ( add
to both sides )
x² - x = 
Solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2( -
)x +
=
+ 
(x -
)² = 1 ( take the square root of both sides )
x -
= ± 1 ( add
to both sides )
x =
± 1
Thus
x =
- 1 = - 
x =
+ 1 = 
Answer:
5
Step-by-step explanation:
<h3>Given</h3>
<u>In and AP</u>
<h3>Solution</h3>
<u>Formula for the terms of AP:</u>
<u>The difference of terms:</u>
- a + 3d - (a - d) = 13 - 3
- 2d = 10
- d = 5
Answer:
There is an 85% probability that the sprinkler head will be activated.
Step-by-step explanation:
We have these following probabilities:
50% of the first sprinkler being triggered
90% of the first sprinkler being reliable
50% of the second sprinkler being triggered
80% of the second sprinkler being reliable.
What is the probability that the sprinkler head will be activated?

is the probability of the first sprinkler being triggered and activated. So:

is the probability of the second sprinkler being triggered and activated. So:


There is an 85% probability that the sprinkler head will be activated.
27 1/5 + 2/6
\\Convert to like fractions:
= 27 6/30 + 10/30
\\Add the fractions
= 27 16/30
\\Simplify by dividing by 2
= 27 8/15
Answer: 27 8/15