Answer:
0.03593
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 17,340
μ is the population mean = 15,000
σ is the population standard deviation = 1300
z score:
z = 17340 - 15000/1300
z =1.8
Probability value from Z-Table:
P(x<17340) = 0.96407
P(x >17340) = 1 - P(x<17340)
= 1 - 0.96407
= 0.03593
The probability that the life span of the monitor will be more than 17,340 hours is 0.03593
Answer:
Step-by-step explanation:
If you plot those points on a coordinate plane, you'll see that the distance from the origin up the y-axis to the point is greater than is the distance from the origin down the x-axis to the other point. That means 3 things to us: 1. the greater distance is a and the shorter is b; 2. the point (0, 11) is the vertex while the point (4, 0) is the co-vertex; and 3. this is a vertically stretched ellipse. A vertically stretched ellipse has an equation
where h and k are the coordinates of the center, a is the greater distance (between the center and the vertex), and b is the smaller distance (between the center and the co-vertex). Here's what we have then thus far:
h = 0
k = 0
a = 11
b = 4
Filling in our equation then looks like this:
and simplifying:
. It appears that the last answer is the one you want, although when I teach this to my precalc students, I do not encourage them to move the x and y terms around as that answer appears to have done. But addition is also commutative so I'm sure it's acceptable (I just think it looks strange that way).
The property of a(b+(-b))=(b+(-b))a is called as Commutative Property of Multiplication.
The Commutative Property in mathematics is a rule that allows interchange the order of terms or factors without any change in the end result.
In multiplication, we can interchange the factors without affecting the end result of multiplication. For example, 2 x 3 = 3 x 2 = 6
In addition, we can interchange the terms without affecting the summation result. For example, 2+3 = 3+2 = 5
But Commutative Property does not apply to subtraction or division.
For example, 2-3 != 3-2
or, 2/3 != 3/2
Hence the answer to the question is Commutative Property of Multiplication.
To know more about "Commutative" click here
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You look at the coefficient of x.
If the parent function is f(x) = 7^x, there is no horizontal stretch.
If the parent function is f(x) = e^x, then your function is
.. f(x) = 7^x = (e^ln(7))^x = e^(ln(7)*x)
and the horizontal compression factor is ln(7) ≈ 1.946. (The stretch factor is 1/1.946 = 0.514.)
Move all terms that dont contain y to the right side and solve and you get:
y=4x/3-7
Hope this helps