Answer:
0.183
Step-by-step explanation:
This is a question on Binomial Probability
Formula =nCx × p^x × q^n - x
p = 0.72
q = 1 - p
= 1 - 0.72
= 0.28
x = number of successes = 9
n = 10
The probability that at least nine out of ten people used an online travel website when they booked their airline ticket
At least 9 out of 10 means
x ≥ 9 = x = 9 and x = 10
Hence,
P(x ≥ 9) = 10C9 × (0.72^9 × 0.28^10 - 9) + 10C10 × ( 0.72^10 × 0.28^10 - 10)
P(x ≥ 9) = 0.14559635388 + 0.0374390623
= 0.18303541631
≈ 0.183
Answer:
am i supposed to do area? volume? circumfrence?
Answer:
Since the question requires you to give the answer in terms of steps/minute, the first step would be to convert hours to minutes:
12.5 hours = 750 minutes
Next, if he took 775 steps in 750 minutes, how many would he take in 1 minute?
This requires you to set up the question as a proportion:
(775 steps/ 750 minutes) = (x steps/1 minute)
(1 * 775)/750 = 31/30 = 1.033
he took ~1 step per minute
Answer:
No solution
Step-by-step explanation:
Given: 
and 
Solve both inequality separately.
Subtraction property of inequality
and
Addition property of inequality
Hence, the solution of the compound inequality intersection of both solutions.
Please find attachment for number line solution.
No solution
Revenue = 7.5x - 100
Operation Costs = 5.8x + 79.86
To break even, operation cost = Revenue
⇒ 7.5x - 100 = 5.8x + 79.86
7.5x = 5.8x + 179.86 (Add 100 to both sides)
7.5x - 5.8x = 179.86
1.7x = 179.86
x = 105.8
This implies that the company will need to sell at least 106 items to make a profit.
The inequality that will determine the number of items at need to be sold to make a profit is x ≥ 106
The solution to the inequality is as follows
Revenue = 7.5x - 100
if x =106
Revenue = 7.5(106) - 100
Revenue = 695
Operational Cost = 5.8x + 79.86
if x = 106
Operational Cost = 5.8(106) + 79.86
Operational Cost = 694.66
Profit ≥ (695 - 694.66)
Profit ≥ 0.34
The company must sell at least 106 items to make a profit.
