since the distance from the outside edges is 26 1/2 feet, divide that by 2 to get the distance from the center to the edge ( 26 1/2 / 2 = 13 1/4 feet)
the stage is 76 feet so divide that by 2 to find the center 76/2 = 38 feet
now subtract the 13 1/4 from 38
38 - 13 1/4 = 24 3/4 feet from the side of the stage to the edge of the trap door
a little easier way would be to subtract the 26 1/2 from 76 and then divide by 2
76-26 1/2 = 49 1/2 / 2 = 24 3/4
Answer: = ( 0.411, 0.409)
Therefore at 95% confidence interval (a,b) = (0.411, 0.409)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean gain x = 0.41
Standard deviation r = 0.016
Number of samples n = 1000
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
0.41+/-1.96(0.016/√1000)
0.41+/-1.96(0.000506)
0.41+/-0.00099
0.41+/-0.001
= ( 0.411, 0.409)
Therefore at 95% confidence interval (a,b) = (0.411, 0.409)
Answer:
Step-by-step explanation:
The expressions with radicals which are variables and numbers raised to a fractional indices are simplified as follows.
13. √(9·x) = 3·√x
14. √(4·y) = 2·√y
15. √(8·x²) = 2·x·√2
16. √(9·x²) = 3·x
17. √(3·x²) = x·√3
18. √(5·y²) = y·√5
19. √(13·x²) = x·√(13)
20. √(29·y²) = y·√(29)
21. √(64·y²) = 8·y
22. √(125·a²) = 5·a·√5
23. ∛(16) = 2·∛2
24. √(50·a²·b) = 5·a·√(2·b)
<h3>What are radicals expressions?</h3>
A radical expression is one that contains the radical (square root or nth root) sign, √.
13. √(9·x)
√(9·x) = √(3²·x) = 3·√x
14. √(4·y)
√(4·y) = √(2²·y) = 2·√y
15. √(8·x²)
√(8·x²) = √(4 × 2·x²) = √(2² × 2·x²)
√(2² × 2·x²) = √(2²·x² × 2) = 2·x·√2
16. √(9·x²)
√(9·x²) = √(3²·x²) = 3·x
17. √(3·x²)
18. √(5·y²)
√5 × √(y²) = √5 × y = y·√5
19. √(13·x²)
√(13·x²) = √(13) × √x² = √(13) × x = x·√(13)
20. √(29·y²)
√(29·y²) = √(29) × √(y²) = √(29) × y = y·√(29)
21. √(64·y²)
√(64·y²) = √(8²·y²) = √(8²) × √(y²) = 8 × y = 8·y
22. √(125·a²)
√(125·a²) = √(25 × 5 × a²) = √(25) × √5 × √(a²) = 5 × √5 × a
5 × √5 × a = 5·a·√5
23. ∛(16)
∛(16) = ∛(16) = ∛(8 × 2) = ∛(2³ × 2) = 2·∛2
24. √(50·a²·b)
√(50·a²·b) = √(25 × 2 × a² × b) = √(5² × 2 × a² × b) = √(5² × a² × 2 × b)
√((5² × a²) × 2 × b) = 5·a·√(2·b)
Learn more about simplifying expressions with radicals here:
brainly.com/question/13114751
#SPJ1
Answer:
Hey there!
A: 7
B: 6
C: 5
D: 7
X: 10
7x6x5x7x7x7x10x10x10=720,300,000
Let me know if this helps :)
