Answer:
Could you send a picture of the work please!
Step-by-step explanation:
Answer:
A) M = 3.016
B) M = 9.79
C) 62
Step-by-step explanation:
A) We are given;
Population size; n = 100
standard deviation; σ = 12
Formula for the margins of error is;
M = z × σ/√n
At 99% confidence interval, z = 2.58
Thus;
M = 2.58 × 12/√100
M = 3.016
B) n is now equal to 10, thus at same confidence interval used in option A, we have;
M = 2.58 × 12/√10
M = 9.79
C) to solve this, we will use the formula;
n ≥ (zσ/m)²
Where;
z at 95% confidence interval has a value of 1.96
m is the margin of error = 3
Thus;
n ≥ (1.96 × 12/3)²
n ≥ 61.4656
Thus,approximately n = 62
Answer:
56/65.
Step-by-step explanation:
By Pythagoras AB = √(5^2 + 12^2) = √169 = 13.
and AC = √(12^2 + 9^2) = √225 = 15.
sin BAC = sin (BAD + CAD) = sin BAD cos CAD + cos BAD sin CAD.
= 5/13 * 12/15 + 12/13 * 9/15
= 60/195 + 108/195
= 168/195
= 56/65.
Answer:
A=132
Step-by-step explanation:
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=3·10+4·10+5·10+1
2·﹣34+2·(3·4)2+2·(3·5)2﹣44+2·(4·5)2﹣54=132
