OptionAStep-by-step explanation:95% confidence interval is obtained using the following formulaCOnfidence interval lower bound = mean - critical value * sigma/sq rt nand upper bound = mean + critical value*sigma/sq rt nThus margin of error = critical value*sigma/rt nvaries indirectly as n provided others are remaining the same.Hence lower sample indicates higher margin of errorOut of 4 options given we find that 1 option has maximum margin of error as 21%Hence option. A is most likely coming from a small sample.
Step-by-step explanation:
8x-10=3x+90
=5x=100
=x=20
therefore
B=3(20)+90
150°
Answer:
25 unit
Step-by-step explanation:
See attachment for the missing figure.
Assuming the complete question is:
Side UY = 4z-1
Side UV = 5z+3
Perimeter of rectangle is given by:
2UY+2UV=P
2(4z-1)+2(5z+3)=84
8z-2+10z+6=84
18z+4=84
18z = 84 -4 =>
18z = 80
z= 4.45 unit
Side UV = 5z+3 => 5(4.45) + 3
Side UV ≈ 25 unit
SInce, Side UV = Side XY
Side XY≈ 25 unit
To divide 343 by 9, you will use the division algorithm.
The reason is because 343 is not divisible evenly by nine.
You know this because the sum of the digits, 3+4+3 or 10, is not evenly divisible by 9.
Therefore, 343 is not evenly divisible by 9.
