Answer: (0.076, 0.140)
Step-by-step explanation:
Confidence interval for population proportion (p) is given by :-

, where
= sample proportion.
n= sample size.
= significance level .
= critical z-value (Two tailed)
As per given , we have
sample size : n= 500
The number of Independents.: x= 54
Sample proportion of Independents
Significance level 98% confidence level :
By using z-table , Critical value :
The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-

Hence, the 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters.= (0.076, 0.140)
Answer:
16.00$
Step-by-step explanation:
divide 24 dollars in three sections which is 8 dollars a section. 2/3 is 2 out of 3 sections(8+8) which is sixteen.
Answer:
530.66 mm²
5.3066 cm²
Step-by-step explanation:
A = π·r²
= 3.14×(13mm)²
= 3.14×169mm²
= 530.66 mm²
= 5.3066 cm²
Answer: Each shirt costs $1.25, and each hat costs $2.5.
Step-by-step explanation:
Let x= Cost per T-shirt, y = Cost per Hat.
As per given,
3x+3y=11.25 (i)
4x+2y=10 (ii)
Multiply 4 to equation (i)
12x+12y=45 (iii)
12x+6y= 30 (iv)
Eliminate (iv) from (iii), we get
6y= 15
⇒ y = 2.5
Put value of y in (i)
3x+3(2.5)=11.25
⇒3x+7.5=11.25
⇒3x= 3.75
⇒x= 1.25
Hence, each shirt costs $1.25, and each hat costs $2.5.
Answer:
5/6
Step-by-step explanation:
4,5,6- Numbers greater than 3
2,3- Prime numbers
Sample space={1,2,3,4,5,6}
P(E)=5/6