Answer:
6
Step-by-step explanation:
The HCF may be found by listing the factors of 18 and 24
factors of 18 : 1, 2, 3, 6, 9, 18
factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24
The common factors are 1, 2, 3, 6
The highest common factor is 6
Answer: 7
Answer: a) Required minimum sample size= 219
b) Required minimum sample size= 271
As per given , we have
Margin of error : E= 5% =0.05
Critical z-value for 90% confidence interval :
a) Prior estimate of true proportion: p=28%=0.28
Formula to find the sample size :-
Required minimum sample size= 219
b) If no estimate of true proportion is given , then we assume p= 0.5
Required minimum sample size= 271
Work Shown:
sin(angle) = opposite/hypotenuse
sin(22) = x/25
x = 25*sin(22)
x = 9.3651648353978
x = 9.4
Your calculator needs to be in degree mode. One way to check is to compute sin(30) and you should get 0.5 or 1/2.
x = 7
The proportion is
14/6 = 21/(3x - 12) Cross Multiply
14*(3x - 12) = 6*21 Remove the brackets and combine
42x - 168 = 126 Add 168 to both sides
42x = 126 + 168
42x = 294 Divide by 42
x = 294/42