Answer:
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
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 x = 29.5
Standard deviation r = 5.2
Number of samples n = 59
Confidence interval = 90%
z-value (at 90% confidence) = 1.645
Substituting the values we have;
29.5+/-1.645(5.2/√59)
29.5+/-1.645(0.676982337100)
29.5+/-1.113635944529
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
Answer:
Step-by-step explanation:
9^2 + 15^2 = x^2
81 + 225 = x
17.49 = x
Rounded to the nearest tenth:
<u>x = 17.5</u>
Answer:
Step-by-step explanation:
![\red{ \boxed{ \bold{\overline{AB} \cong \overline{DB} \:\: and \:\: \overline{AC} \cong \overline{DC}}} }\\ \overline{BC} \cong \overline{BC}... (common\: side) \\](https://tex.z-dn.net/?f=%20%5Cred%7B%20%5Cboxed%7B%20%5Cbold%7B%5Coverline%7BAB%7D%20%5Ccong%20%5Coverline%7BDB%7D%20%5C%3A%5C%3A%20and%20%5C%3A%5C%3A%20%5Coverline%7BAC%7D%20%5Ccong%20%5Coverline%7BDC%7D%7D%7D%20%7D%5C%5C%20%20%20%5Coverline%7BBC%7D%20%5Ccong%20%5Coverline%7BBC%7D...%20%28common%5C%3A%20side%29%20%20%5C%5C%20)
Answer:
3 * 10 ^3
Step-by-step explanation:
Divide the numbers
3.9 / 1.3
3
Subtract the powers of 10
10^5 / 10^2 = 10 ^ (5-2) = 10^3
The result is 3 * 10 ^3
Answer:
All real numbers
Step-by-step explanation:
![-2(y - 4) = 20 - 2y - 12](https://tex.z-dn.net/?f=-2%28y%20-%204%29%20%3D%2020%20-%202y%20-%2012)
Start by distributing -2 inside the parentheses.
![-2y + 8 = 20 - 2y - 12](https://tex.z-dn.net/?f=-2y%20%2B%208%20%3D%2020%20-%202y%20-%2012)
Combine like terms on the right side of the equation.
![-2y + 8 = 8 - 2y](https://tex.z-dn.net/?f=-2y%20%2B%208%20%3D%208%20-%202y)
Subtract 8 from both sides of the equation.
![-2y =- 2y](https://tex.z-dn.net/?f=-2y%20%3D-%202y)
Divide both sides by -2 to isolate y.
![0=0](https://tex.z-dn.net/?f=0%3D0)
This is a true statement, so there are infinite solutions.