Answer:
Step-by-step explanation:
Shane spends $2,000 each week for supplies and labor to run his car detailing business. This means that his total cost of running his car detailing business is $2000
Let x represent the number of cars that he would need. If he charges $30 for each car, the total amount charged for x cars would be 30×x = $30x
Let y represent the number of trucks that he would need. If he charges $45 for each car, the total amount charged for y trucks would be 45×y = $45y
In order to make profit, the inequality would be
30x + 45y greater than 2000
Answer:
{x ∈ ℝ | x ≠ 2}
Step-by-step explanation:
Answer:
Step-by-step explanation:
9. f(g(-n))
g(-n) = -(n²+5) = -n²-5
f(g(-n)) = 2n+1 (-n²-5 )
2n(-n²-5)+1(-n²-5 )
-2n³-10n-n²-5
-2n³-n²-10n-5
n²(-2n-1) +5(2n-1)
(n²+5)(2n-1)
10. (2x+2)(x³+3)
2x(x³+3)+2(x³+3)
2x⁴ + 2x³ +6x +6
2x³(x+1)+6(x+1)
(2x³+6)(x+1
<u>Answer-</u>
<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>
<u>Solution-</u>
The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.
We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.
We know that, the conditional probability of occurrence of A given that B occurs is,



Putting these values,
