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:
600 ft³
Step-by-step explanation:
Base area: B
Base is triangle
base = 12 ft and height = 5 ft
Area of triangle = B = 

H = 20 ft
Volume = B * H
= 30 * 20
= 600 ft³
Step-by-step explanation:
let three no. be x, y, z
y=3x+4
z=2x-6
x+3x+4+2x-6=106
6x=108
x=18
Three numbers are 18, 3 (18)+4, 2 (18)-6
=18,58,30
Answer:
when you multiply a whole number by itself it will obviously get bigger.
4 to the 2nd power equals 16 because 4x4 = 16
if you were to multiply a smaller number though, it wouldn't get as big.
Each number you put to the same exponent will not get bigger at the same rate since each number isnt being multiplied by the same thing.
ex. 4 and 6 are raised to the second power both dont get multiplied by the same number 4 is multiplied by 4, and 6 by 6, therefore the bigger the number the bigger it grows.
Fractions get smaller for this reason when you have the fraction 2/3 raised to the second, both numbers must be raised. 2 to the second equals 4 while 3 to the second is 9.
1/2 to the second would then equal 1/4 since 1 to the second equals 1 and 2 to the second equals 4.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Comment
If two secants intersect outside a circle (as these two do) then the angle at which they meet is 1/2 the difference between the intersected arcs. Put much simpler <DCF = 1/2 (arc EG - arc DF)
Givens
Arc EG = 127
Arc DF = 49
Solution
<DCF = 1/2(127 - 49)
<DCF = 1/2(78)
<DCF = 39