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: 795 miles
Step-by-step explanation:
D = st
D = 53 m/h * 15 h
D = 795 miles
Answer:
The place where the x and y axis meet, is called the point of origin
Step-by-step explanation:
The coordinates of centroid of given triangle are: (3,3)
Step-by-step explanation:
Given
D(0,1) = (x1,y1)
E(2,6) = (x2,y2)
F(7,2) = (x3,y3)
The centroid of a triangle when the vertices are known is given by:

Putting the values

Hence,
The coordinates of centroid of given triangle are: (3,3)
Keywords: Triangle, centroid
Learn more about triangles at:
#LearnwithBrainly
Answer:
A.
mean=82.286
Rounded to the tenths place would be= 82.3
Step-by-step explanation:
The Mean is found by adding all of the values together
Then dividing it by how many values there are.
In this instance, all the values added up equal 576
576 now will be divided by how many temperatures are recorded.
576/7=82.286
82.286 Rounded to nearest tenth=82.3