Answer:
(351.04, 368.96)
Step-by-step explanation:
Given that population mean= 360
Std devitaion = 4
margin of error = 2.5%= 0.025
Since population std deviation is known we can use Z critical value
For two tailed critical value for 2.5% would be
2.24
Margin of error = ±Critical value*std deviation
= ±2.24(4)
= ±8.96
Confidence interval =(Mean - margin of error, mean + margin of error)
=
Answer:
34 degrees
Step-by-step explanation:
considering the two lines are parallel:
(3x + 7) + (2x + 3) = 180 degrees
3x + 2x + 7 + 3 = 180 degrees
5x + 10 = 180
5x = 180 - 10
5x = 170
x = 170/5 = 34
the value of x = 34 degrees
Given:
In a right triangle at B,

To find:
The length of the sides b and c and angle B.
Explanation:
Using the trigonometric ratio,

Using the trigonometric ratio,

Using the angle sum property,
The angle B becomes,

Final answer:
The values are,
3y is the supplement of 141 so that means 3y+140=180 so y is 13.33. Since they give you 68, 68+13.33+x=180. So 81.33+x=180 and x=98.66.