Answer:
5000 + (0.16)x > 55,000
Step-by-step explanation:
<u><em>DATA:</em></u>
Michael's salary = $55,000
Cole's basic salary = $5,000
--> Commission = 16% of sales
--> Sales = x
<u><em>Cole's total salary</em></u>
<em>--> Basic salary + Commission x sales</em>
--> 5000 + 16% of x
--> 5000 + (0.16)x as 16 percent is equal to 16/100 = 0.16
<u><em>Cole's total salary should be more than Michael's total salary</em></u>
5000 + (0.16)x > 55000
<em>--> Make x the subject</em>
0.16x > 55000-5000
0.16x > 50,000
x > 50,000/0.16
x > 312500
The inequality that represents the dollar amount of sales is 5000 + (0.16)x > 55000.
The dollar amount of sales that Cole must generate should be more than $312500.
Answer:
b. Because the probability of being 15 or more correct is 0.0207, it is likely that she is just guessing at the questions.
Step-by-step explanation:
-This is a binomial probability distribution with p=0.5, n=20 and x=15.
The function is expressed as:

We calculate the probability of guessing 15 or more correctly:

The probability of passing, guessing 15+ correctly, is 0.0207. This probability is very low and it is it is likely that she is just guessing at the questions
Answer:

Step-by-step explanation:
Given the equation

Note that

and

Combined, 
Solve the equation:

Since
this is the solution to the equation.
Answer:
9 inches
Step-by-step explanation:
Do the question algebraically, represented by this equation:
let x be the shorter piece
x + (x + 8) = 26 (longer piece is 8 units longer)
Remove brackets
x + x + 8 = 26 Combine like terms
2x + 8 = 26 Start isolating "x"
2x + 8 - 8 = 26 - 8 Subtract 8 from both sides
2x = 18
2x/2 = 18/2 Divide both sides by 2
x = 9 shorter piece
The shorter piece would be 9 inches.
If you needed the longer piece too:
longer piece = x + 8
x + 8
= 9 + 8
= 17
The longer piece would be 17 inches.
Check your answer:
Longer + Shorter = 26 Substitute the lengths
17 + 9 = 26 Add
26 = 26 same number
LS = RS left side equals right side
The answer is correct.
<span>The answer is She should have multiplied by 2 instead of dividing by 2.
First one.</span>