Well you start by dividing 19779 by 20820 to see the percent of people compared to last year (it being 95%). Then you take 19,779 and multiply it by the same percentage, or 0.95. That means that there should be 18790 (it's technically 18790.1 but since that's people you round to the nearest whole number).
Answer:
Mai is wrong since both travel the same distance in the same amount of seconds
Step-by-step explanation:
3 centimeters in 3 seconds is 1 centimeter a second for the slug
6 centimeters in 6 seconds is 1 centimeter a second for the snail
so both travel the same distance
Answer:
2
Step-by-step explanation:
The slope, or rate of change in any function is the number multiplied by the independent variable (in this case x).
Answer:
Step-by-step explanation:
3x and 3y are not "like terms," despite having the same coefficient.
Like terms have the same variable. For example, 3x and 2x are like terms, so
3x+2x = 5x
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>.
