Step-by-step explanation:
1) x/20 = -9
By cross multiplication,
x = -180
2) -168 = -14k
k = -168/-14
k = 12
3) -5m = -50
m = 10
4) -320 = -20n
n = 16
5) -4 = x - 5
x = 1
6) -6(-8 + n) = -54
42 - 6n = -54
-6n = -54 -52
6n = 106
n = 17.6
7) 3(x - 9) = -3
3x - 27 = -3
3x = 24
x = 8
8) 9k + 3 = -78
9k = -81
k = -9
9)4 + (n/4) = 8
By taking LCM,
16 + n/4 = 8
16 + n = 32
n = 16
10) -5r + 7 = -73
-5r = -80
r = 16
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>
The probability of finding one of the two defective fuses is:

The probability of finding 2 defective fuses is:

Therefore the probability of rejecting is 0.3117 + 0.026 = 0.3377.
It’s just 2 over 3 because it’s not a number with a value greater than one
Honestly idk
explanation
i’ve always been bad at math
QUESTION 1
The given equation is

Clear the decimal by multiplying through by 10 to get,

Expand the bracket using the distributive property to get;

Group similar terms to get,



Divide through by 50 to get,


QUESTION 2
We want to solve the inequality,

We expand the bracket using the distributive property to obtain,

Group similar terms to get,

Simplify to get,

We divide both sides of the inequality by -8 and reverse the sign to obtain,


QUESTION 3
Step 1.
Given:4(-6x – 3)+24x= -72x + 132
Step 2.
Distributive property:
-24x – 12 + 24x = -72x + 132
Step 3.
Combine like terms:
–12 = -72x + 132
Step 4.
Addition property of equality:
-144 = -72x
Step 5.
Division property of equality:
2=x
All the properties stated are correct.