Answer:
4
Step-by-step explanation:
For it to be continuous at x=0 we need the left and right limit at x=0 to be equal. We also need those limits to equal what happens at x=0.
A famous limit is:
As x goes to zero, sin(x)/x goes to 1.
So the left limit at x=0 would be 4(1)=4.
The right limit at x=0 would be a-2(0)=a.
So a=4.
So f(0)=4-2(0)=4 also which is what both limits would equal for x=0 if a=4.
Answer:
P ( 5 < X < 10 ) = 1
Step-by-step explanation:
Given:-
- Sample size n = 49
- The sample mean u = 8.0 mins
- The sample standard deviation s = 1.3 mins
Find:-
Find the probability that the average time waiting in line for these customers is between 5 and 10 minutes.
Solution:-
- We will assume that the random variable follows a normal distribution with, then its given that the sample also exhibits normality. The population distribution can be expressed as:
X ~ N ( u , s /√n )
Where
s /√n = 1.3 / √49 = 0.2143
- The required probability is P ( 5 < X < 10 ) minutes. The standardized values are:
P ( 5 < X < 10 ) = P ( (5 - 8) / 0.2143 < Z < (10-8) / 0.2143 )
= P ( -14.93 < Z < 8.4 )
- Using standard Z-table we have:
P ( 5 < X < 10 ) = P ( -14.93 < Z < 8.4 ) = 1
<span>3/2=5d-1/2
5d = 3/2 +1/2
5d = 2
d = 2/5</span>
320 students. Because you have to divide 384 by 6 which will give you 64 which is the number for the students that chose art and then subtract that from the total students which are 384 and you'll get 320 as your answer for the student that didn't pick art.
