Answer:
x1=-1, x2=4/5
Step by step explanation:
5x^2 - 4 + x = 0
Use the commutative property to reorder the terms:
5x^2+x-4=0
Write x as a difference:
5x^2+5x-4x-4=0
Factor out 5x from the expression:
5xx(x-1)-4x - 4=0
Factor out -4 from the expression:
5xx(x+1) - 4 (x-1)=0
Factor out x+1 from the expression:
(x-1) x (5x-4) =0
When the product of factors equal 0 at least one factor is 0
X + 1 = 0
5x - 4 = 0
Solve the equation:
The equation has two solutions
X1=-1, x2 = 4/5
Answer:
CI(99%) = ( 0.93 , 2.07)
Therefore at 99% confidence interval (a,b) = ( 0.93 , 2.07)
Critical value z(at 99% confidence) = z(0.005) = 2.58
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 = 1.5
Standard deviation r = 0.58
Number of samples n = 7
Confidence interval = 99%
Critical value z(at 99% confidence) = z((1-0.99)/2)
z(0.005) = 2.58
Substituting the values we have;
1.5+/-2.58(0.58/√7)
1.5+/-2.58(0.2192)
1.5+/-0.565536
1.5+/-0.57
= ( 0.93 , 2.07)
Therefore at 99% confidence interval (a,b) = ( 0.93 , 2.07)
Answer:
Kahn academy works great with this stuff
Step-by-step explanation:
Answer:
<h3>Two of the sides of triangle KNM are the equal</h3>
Step-by-step explanation:
From the triangle KNM, we can see that two of the angles M K N and Angle N M K are the same. If two of the angles are equal this means that two of the sides of the triangles are also equal. This type of triangle is known as an ISOSCELES TRIANGLE.
An isosceles triangle is a triangle that has two of its angles and sides to be equal.
Answer:
f(x) + g(x) = x² - 10x + 9
General Formulas and Concepts:
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 11x + 18
g(x) = x - 9
<u>Step 2: Find f(x) + g(x)</u>
- Substitute: f(x) + g(x) = x² - 11x + 18 + x - 9
- Combine like terms (x): f(x) + g(x) = x² - 10x + 9
<u />
