Answer:
Step-by-step explanation:
x= 1 over 4y-2
<u>Answer:</u>
The correct answer option is D. (x - 7) + 2.
<u>Step-by-step explanation:</u>
We are to determine whether which of the given options best describe the English expression:
<em>'two more than the quantity of a number minus seven'</em>
We can break this expression into smaller chunks to make it easier to translate.
1. two more than ---> +2
2. the quantity of a number ---> suppose the number to be 'x'
3. number minus 7 ---> (x - 7)
Combining these, we get (x - 7) + 2 so the correct answer option is D.
We need to solve how much it cost to paint a room with are 459 ft² given that a room with an area of 306 ft² costs $72. The solution is shown below:
Cost per area = $72 / 306 ft²
Cost per area = $0.2353 / ft²
Solving the cost for the similar room:
Costs = $0.2353 * 459 ft²
Costs = $108
The answer is $108.
Answer:
Jim would get 1500, Martha gets 2250
Step-by-step explanation:
Answer:
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
Step-by-step explanation:
The formula for the probability of an exponential distribution is:
P(x < b) = 1 - e^(b/3)
Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:
p = P(x > 10)
= 1 - P(x < 10)
= 1 - (1 - e^(-10/10) )
= e⁻¹
= 0.3679
The z-score is the difference in sample size and the population mean, divided by the standard deviation:
z = (p' - p) / √[p(1 - p) / n]
= (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]
= 2.7393
Therefore, using the probability table, you find that the corresponding probability is:
P(p' ≥ 0.5) = P(z > 2.7393)
<em>P(p' ≥ 0.5) = 0.0031</em>
<em></em>
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
