Answer:
82
Step-by-step explanation:
We are given that a graph which shows the number of beads used for varying cord lengths.
The graph
We have to find the number of beads that she can used for cord length 32 in.
Substitute the value x=32
Then, we get
After round to unit place then, we get
y=82
Hence, the best estimate she can used for number of beads =82
Answer: 82
Answer:
The 95% confidence interval would be given by
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean 1
represent the sample mean 2
n1=27 represent the sample 1 size
n2=30 represent the sample 2 size
population standard deviation for sample 1
population standard deviation for sample 2
parameter of interest.
Solution to the problem
The confidence interval for the difference of means is given by the following formula:
(1)
The point of estimate for is just given by:
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
⇔
and
= 1
Substitute the values of x into
x = 0 → = 1 ⇒ a = 1
x = 2 → =
=
, hence
b =
x = 4 → =
=
, hence
c =