Answer:
you can go on a maximum of 11 rides
Step-by-step explanation:
you first have to subtract 30 from 100 since that is the admissons fee.
So now you are left with 70 dollars.
You divide 70 by 6 since you need 6 dollars to go on each ride.
and 70 divided by 6 is 11.6666666667 but round it to 11 since that the whole number you're left with.
hope this helped :)
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>.
Answer:
No
Step-by-step explanation:
<u>Use synthetic division</u>
-5 | 1 -4 3 7
____<u>-5 45 -240</u>
1 -9 48 | -233
Since the remainder is not 0, then x+5 is not a factor of the polynomial
Answer: the answer is B. 90√2
Step-by-step explanation:
It is a 45 45 90 triangle and the hypotenuse is always the smaller side (x) root 2
Or x√2