Answer:
0 <x> 18
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(4 • (x - 9) + 6) - 42 > 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
4x - 72 = 4 • (x - 18)
Equation at the end of step 3 :
4 • (x - 18) > 0
Step 4 :
4.1 Divide both sides by 4
Solve Basic Inequality :
4.2 Add 18 to both sides
x > 18
Answer:
The value of x is 6
Step-by-step explanation:
the equation that represents the above statement is 23-17
The answer is x=2
8-3x=2
You minus 8 from each side=-3=-6
You then divide -6 by -3=2
A negative number divided by a negative number stays negative.
The probability is 0.0334.
We will first find the probability that none of the 30 people sampled are infected. Since the probability of one person being infected is 0.00114, the probability that someone is not infected is 1-0.00114 = 0.99886. The probability that none of the 30 people are infected would be (0.99886)^30 = 0.966359. We subtract this from one to find the probability that at least one person is infected:
1 - 0.966359 = 0.0334.
Answer:
An equation that represents the data would be y=2.75x+137.50. The y-intercept of the graph is 137.50, which represents the base cost of a boat rental. The slope of the graph is 2.75, which represents the rate, or cost per person. If we use this equation to solve for the cost of boat rental for 75 people, we would get a total of $343.75. A reason the marina might charge more for 75 people could be the need for a second boat and/or additional workers to handle the additional guests.
Step-by-step explanation:
The problem gives you four sets of ordered pairs: (10, 165); (20, 192.50); (35, 233.75) and (50, 275). Using these ordered pairs, you can either make a table, or use slope formula with two points to determine the rate of change. For example, (192.50-165)/(20-10)= 2.75, which represents the slope or cost per person. To find the y-intercept, or base cost to rent the boat, subtract the cost for 10 people ($27.50) from the $165 rental charge to get $137.50. In order to find the cost for 75 people, you would plug in 75 for the variable 'x' and solve for 'y', which gives us $343.75. Since the actual cost is different, we have to assume that there are additional fees associated with a certain number of people.