Answer:
Sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.
Step-by-step explanation:
To yield a more accurate estimate of the population mean, margin of error should be minimized.
margin of error (ME) of the mean can be calculated using the formula
ME=
where
- z is the corresponding statistic in the given confidence level(z-score or t-score)
- s is the standard deviation of the sample (or of the population if it is known)
for a given confidence level, and the same standard deviation, as the sample size increases, margin of error decreases.
Thus, random sample of 50 people from population A, has smaller margin of error than the sample of 20 people from population B.
Therefore, sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.
Answer:
B, C, F
Step-by-step explanation:
3/4 is 3 times 1/4, so the number of walls Dan can paint is 3 times the number of cans Dan uses.
A. 1/2 can will paint 3/2 walls, not 2.
B. 1 can will paint 3 walls — true
C. 5/3 cans will paint 5 walls — true
D. 2 cans will paint 6 walls, not 8.
E. 5/2 cans will paint 15/2 = 7 1/2 walls, not 10.
F. 11/3 cans will paint 11 walls — true
Answer:
△ABC and △DEF are similar by SAS Similarity Theorem.
Option (C) is correct .
Step-by-step explanation:
Definition of SAS Similarity property
Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .
In △ABC and △DEF


and


Thus

∠ABC = ∠DEF (As given in the figure )
Thus △ABC and △DEF are similar by SAS Similarity property .
Answer:
-8
Step-by-step explanation:
-72 / 9 = -8