Answer:
The option B is True
Step-by-step explanation:
Solution
nA < nB
Thus
1/√nA > 1/√nB
SD/√nA > SD/√nB
So,
SE (A) > SE (B).......(1)
Zα/2 SE (A) > Zα/2 SE (B)
Now
E (A) > E(B) this is the margin error
Since SE fro sample A is larger than SE for sample B
We have that,
The length = ZE
Therefore, option B is correct because here, we know that as the sample size increases or goes higher the length of the confidence interval decreases
In this case, the sample size is large for B then A.
Thus, the length of confidence interval based on A is larger than the length of confidence interval Based on B Since SE is large For A than B
Answer:
Amount after 4 years = $3274.125
Step-by-step explanation:
Time t= 4 years
Principal amount p= $2500
Interest rate R= 6.75%
Number of times compounded n= 4*12
Number of times compounded n= 48
Amount A = p(1+r/n)^(nt)
A= 2500(1+0.0675/48)^(48*4)
A= 2500(1+0.001406)^(192)
A= 2500(1.001406)^192
A= 2500(1.30965)
A= 3274.125
Amount after 4 years = $3274.125
Answer:
9
Step-by-step explanation:
Setup a proportion
= 
Cross multiply
40n = 360
Divide by 40
40n/40 = 360/40
n = 9
y = 3x + 1
It's a linear function. The domain of linear function is the set of all real numbers.
Let's use an example
Say we had two lines P and Q. If P has slope 2/5, then Q must have slope -5/2 in order for P and Q to be perpendicular.
Note how -5/2 is the negative reciprocal of 2/5. In other words, you flip the fraction and the sign to go from either slope.
Another thing to notice is that the two slopes multiply to -1. This is true for any pair of perpendicular lines as long as neither line is vertical.
