Answer: b. 0.98
Step-by-step explanation:
The formula to find the maximum error of the estimated mean :
(1)
, where = standard deviation
n= Sample size
z* = Critical z-value.
As per given , we have
n=100
Critical value for 95% confidence interval = z*=1.96
Put these values in the formula (1), we get
Hence, the maximum error of the estimated mean quality for a 95% level of confidence is 0.98.
Therefore , the correct answer is b. 0.98 .
Answer:
The rate is cups per hour
Step-by-step explanation:
It took the faucet 1 1/2 hours, i.e 1.5 or 3/2 hours to fill 1/4 cup by leaking
We need to find the rate in terms of cups that can be filled by water in 1 hour.
Using unitary method:
If it takes h for
cup;
then it will take 1 h for how many cups?
cups
Therefore, the rate is cups per hour
Given function is
now we need to find the value of k such that function f(x) continuous everywhere.
We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.
So we just need to find both left and right hand limits then set equal to each other to find the value of k
To find the left hand limit (LHD) we plug x=-4 into 3x+k
so LHD= 3(-4)+k
To find the Right hand limit (RHD) we plug x=-4 into
so RHD=
Now set both equal
k=-0.47
<u>Hence final answer is -0.47.</u>