Answer:
[22.57 ± 2.776]
Step-by-step explanation:
Hello!
You have the 95% Confidence Z-interval (21.182;23.958), the mean X[bar]= 22.57 and the sample size n=25.
The formula for the Z interval is
[X[bar] ± ]
The value of Z comes from tha standard normal table:
The semiamplitude (d) or margin of error (E) of the interval is:
E or d= (Upperbond- Lowerbond)/2 = (23.958-21.182)/2 = 2.776
[X[bar] ± E]
[22.57 ± 2.776]
I hope it helps!
Answer:
x = -13.5
Step-by-step explanation:
4 + 2/3x = -5
1. subtract 4 on both sides.
2/3x = -9
2. divide 2/3 on both sides.
x = -13.5
(let me know if you need the answer in a fraction)
Answer:
48π + 120
Step-by-step explanation:
Lateral area of a cylinder = Ch = πdh
1/4 of the lateral area = 12π(10)/4 = 30π
Bottom area = 6(10) = 60
Front area = 6(10) = 60
Area of base = πr^2/4 = 36π/4 = 9π
Area of two bases = 18π
Total area = 18π + 30π + 60 + 60 = 48π + 120
Answer:
7.6504 x 10^10
Step-by-step explanation:
Answer: Right ,vertical, supplementary
Step-by-step explanation:In the given figure the two rays are perpendicular.A line is said to be perpendicular to another line if the two lines intersect at a right angle.Thus <1 and <2 are Right angles.
The opposite angles formed by two intersecting lines are called vertical angles.<1 and <2 are on opposite sides of the two rays and hence form vertical angles.
The angles made at the intersection of the two rays are 90 degrees .So the sum of angles 1 and angle 2= 90+90=180 degrees.When two angles add to 180 degrees they are called supplementary angles .
Hence <1 and <2 are Right ,vertical, supplementary angles.