Answer: (0.665 , 0.777)
Step-by-step explanation:
Given : Sample size of consumers: n=420 ;
Number of consumers say their ColorSmart-5000 television sets did not need a repair=303
The the sample proportion for consumers say their ColorSmart-5000 television sets did not need a repair : 
Significance level : 
Critical value = 
The confidence interval for population proportion is given by :_
i.e. 
Hence, a 99 percent confidence interval for the proportion of all ColorSmart-5000 television sets that have lasted at least five years without needing a single repair = (0.665 , 0.777)
The answer is 0.0125 or 1/80. Hope that helps! :)
Answer:
The length of the arc is 221π/18 ft or 38.55 ft
Step-by-step explanation:
Given
Subtended angle, θ = 17π/18
Radius, r = 13 ft
Required
Length of the arc.
When an angle is given in radians, the length of the arc is calculated using the formula below
Length = rθ
By substituting
Length = 13 * 17π/18
Length = 221π/18
The answer can be left in this form.
But for simplification purpose, I'll solve further.
Taking π as 3.14
Length = 221 * 3.14/18
Length = 693.94/18
Length = 38.552222
Length = 38.55 ft (Approximated).
Hence, the length of the arc is 221π/18 ft or 38.55 ft
Answer:
Step-by-step explanation:
4(x+5) = 9x + 4x - 34
distributive:
4x + 20 = 9x + 4x - 34
combine
4x + 20 = 13x - 34
subtraction
20 = 9x - 34
addition
54 = 9x
division
6 = x
Answer:
Step-by-step explanation:
AC = AB + BC; BC = AC - AB
AC = 12 in
AB = 7 in
BC = 12 - 7
BC = 5
AB/BC = 7/5
