Answer:
(19228.737 ; 20771.263)
Step-by-step explanation:
Given that:
Sample size, n = 17
Sample mean, m = 20,000
Sample standard deviation, s = 1500
α = 95%
The confidence interval,
Mean ± margin of error
Margin of Error : Tcritical * s/sqrt(n)
Tcritical at α = 0.05 ; df = n-1 = 17 - 1 = 16 ; 2 - tailed test = 2.120
Margin of Error = 2.120 * 1500/sqrt(17) = 771.263
Lower boundary :
20,000 - 771.263 = 19228.737
Upper boundary :
20,000 + 771.263 = 20771.263
Confidence interval :
(19228.737 ; 20771.263)
Answer:
14
Step-by-step explanation: Search what is 20 percent of 70 in google.
We know that
When two chords intersect each other inside a circle, the products of their segments are equal (Intersecting Chord Theorem)
so
8*18=x*6--------> x=8*18/6-----> x=24
the answer is
24
Answer: (x, y)=(0, -6)
Step-by-step explanation:
To solve a system of equations there are usually 3 general ways.
- Elimination
- Substitution
- Augmented Matrix
Since the question is asked to use <u>elimination</u>, we are going to use it.
--------------------------------------------------------------------------------------
-5x+4y=30
2x+3y=-12
-10x+8y=60
10x+15y=-60
23y=0
y=0
------------------------------------------------------------------------------------------
Substitute the y value into any one of the equations
2x+3y=-12
2x+3(0)=-12
2x+0=-12
x=-6
Hope this helps!! :)
Please let me know if you have any questions