These are independent events so
P(A and B) = P(A) * P(B)
Therefore
P(Both gears fail) = 0.05 * 0.08 = 0.004 or 0.4%
Answer:
The solution x = 
Step-by-step explanation:
<u>Step 1</u>:-
Given 
we have to use formula 
=
Again by using formula 
so 
<u>step 2:</u>-
The solution of given problem is 
Answer:
x = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
3(x - 2) + 8 = 2(x + 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- (Parenthesis) Distribute: 3x - 6 + 8 = 2x + 10
- Combine like terms: 3x + 2 = 2x + 10
- {Subtraction Property of Equality] Subtract 2x on both sides: x + 2 = 10
- [Subtraction Property of Equality] Subtract 2 on both sides: x = 8
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3(8 - 2) + 8 = 2(8 + 5)
- (Parenthesis) Subtract/Add: 3(6) + 8 = 2(13)
- Multiply: 18 + 8 = 26
- Add: 26 = 26
Here we see that 26 does indeed equal 26.
∴ x = 8 is the solution to the equation.
Answer:
y = 0.1x+200
Step-by-step explanation:
First, let's establish that:
x is independent
y is dependent
Basically, the value of y will depend on what x is.
The problem states that the slope of the line is Dave's comission, so since he makes 10% of comission, we can make the slope as 0.1x (mx)
The problem also states that the y intercept (b) is Dave's base salary, and earlier in the problem it states that his base salary is $200 a week. Therefore, b=200
now, the equation is:
y=0.1x+200
Hope this helps!
Answer:
D.) 0.25
Step-by-step explanation:
Because it is not a whole number and decimals don't count as integers
