Answer:
91
Step-by-step explanation:
40/.44
The formula for interval estimate would be: μ = M ± Z(<span>sM</span>)
Where: μ is estimate
M is the mean
Z is the z value
(<span>sM</span>) is the standard
error
μ = M ± Z(<span>sM</span>)
n = 200 rather than 50 (√200 = 2√50)
<span>⇒ ME = (1/2) * 1.32 = .66</span>
<span>Using the formula above, plugging this in will give us: μ
= 19.76 ± .66</span>
<span> = 19.76 ± .66 is
the confidence interval or interval estimate</span>
Answer:
<h2>
-27/4</h2>
Step-by-step explanation:
Given the quadratic polynomial given as g(x) = x²- 5x + 4, the zeros of the quadratic polynomial occurs at g(x) = 0 such that x²- 5x + 4 = 0.
Factorizing the resulting equation to get the roots
x²- 5x + 4 = 0
(x²- x)-(4 x + 4) = 0
x(x-1)-4(x-1) = 0
(x-1)(x-4) = 0
x-1 = 0 and x-4 = 0
x = 1 and x = 4
Since a and b are known to be the root then we can say a = 1 and b =4
Substituting the given values into the equation 1/a+1/b-2 ab
, we will have;
= 1/1 + 1/4 - 2*1*4
= 1 + 1/4 - 8
= 5/4 - 8
Find the Lowest common multiple
= (5-32)/4
= -27/4
<em>Hence the required value is -27/4</em>
Answer:
selling 36 muffins at a discount rate of 10% off the original price
Step-by-step explanation:
Answer:
<u>The length of the longer segment of the 50 cm chord = 40</u>
Step-by-step explanation:
let the length of the longer segment of the 50 cm chord = x
so, the other segment = 50 - x
A chord of 50 cm bisects a chord of 40 cm
using the Intersecting Chords Theorem
so, x(50-x) = 20 * 20
50x - x² = 400
x² - 50x + 400 = 0
(x - 40)(x - 10) = 0
x = 40 or x = 10
<u>So, the the length of the longer segment of the 50 cm chord = 40</u>
