The formula for the confidence interval is given by
Sample mean + z*[σ/√n], and
Sample mean - z*[σ/√n]
We have:
Sample mean = 23.95
n = 40
σ = 2.55
z* for 99% confidence = 2.58
Substitute these values into the formula, we have
23.95 + (2.58)(2.55÷√40) = 24.99
23.95 - (2.58)(2.55÷√40) = 22.91
So the lower interval is 22.91 and the highest interval is 24.99
Answer:
A. x + y = 5
Step-by-step explanation:
The slope of the equation is equal for parallel lines,
; Slope = (-1)
;Use the formula
(y - y(coordinate of the given point)) = slope × [(x - x(coordinate of the given point)]
; y - 1 = (-1)(x - 4)
; y - 1 = -x + 4...then move the variable (x) to the left hand side and then move (-1) to the right hand side
; x + y = 4 + 1
; Hence,
; x + y = 5
First, you would have to plug 3 into the equation
15-(3)/9-(3)
Then do the math
12/6
This can be simplified, since 12 and 6 are divisible by 6, which is their greatest common factor
2/1
So the answer is D. 2
Hope this helps!
Answer:
Equation: 
Solve for n: n = 112
Step-by-step explanation:
To first set up the equation, you need to look at the verbal description and translate into numbers and operations:
'three fourths a number' = 
'plus 8' = + 8
'is' =
'20 less' = - 20
'the number' = n
Put the expressions together:
'three fourths a number plus 8': 
'20 less than the number': n - 20
Set them equal to each other and solve:
Add 20 to both sides: 
Subtract 
from both sides: 
Multiply both sides by 
: 
Solve for n: n = 112
Answer: the leg x would equal 76.8, or 77 rounded. The actual number would be 76.8374908492.
