Answer:
(5.871 `; 6.127)
Step-by-step explanation:
Given :
Mean = 6
Standard deviation. σ = 0.5
Samplr size, n = 100
Zcritical at 99% confidence = 2.58
The confidence interval :
Mean ± margin of error
Margin of Error = Zcritical * σ / sqrt(n)
Margin of Error = 2.58 * 0.5/sqrt(100) = 0.129
Confidence interval :
Lower boundary = 6.00 - 0.129 = 5.871
Upper boundary = 6.00 + 0.129 = 6.129
(5.871 `; 6.127)
Answer:
see below
Step-by-step explanation:
5|x| + 3 < 18
Subtract 3 from each side
5|x| + 3-3 < 18-3
5|x| < 15
Divide by 5
5|x| /5 < 15/5
|x| < 3
There are two solutions for an absolute value, one positive and one negative ( the negative flips the inequality)
x <3 and x > -3
If you have not already, convert the angle into a radius. xπ/180 where x is the angle in degrees.
The formula for area is A=r²Ф/2 where r is radius and Ф is angle in radians.
Solve to find the area.
Hope I helped :)
Answer: 28.84
Step-by-step explanation:
7/100 = 0.07
0.07 * 412 = 28.84
1/9 times 3/1 = 1/3. Now divide 1/3 by 5 or multiply by 1/5 and you get 1/15. There's your answer
