Answer:
Step-by-step explanation:
Sample data
204.999 206.149 202.102 207.048 203.496 206.343 203.496 206.676 205.831
N=9
Sum, Σx: 1846.14
Mean, μ: 205.12666666667
Variance, s^2: 2.6217475555555
Std dev = s = 1.619
The sample mean follows a t distribtion with df =8
Mean difference = 205.13-204.8 = 0.50
Std error = std dev/sqrt n = 0.540
Test statistic = Mean diff/se = 0.9259
p value = 0.1907 (one tailed at 95%)
Since p >0.05 we accept null hypothesis.
We cannot conclude that the mean shade of Mezza Perla tile (µ) is greater than 204.8
9514 1404 393
Answer:
7x +9y = -1
Step-by-step explanation:
The standard form of the equation for a line is ...
ax +by = c
where a, b, c are mutually prime integers and a > 0.
We can get this form by multiplying the equation by 9, adding 7x+27.
y - 3 = -7/9(x +4)
9y -27 = -7x -28 . . . . . multiply by 9, eliminate parentheses
7x +9y = -1 . . . . . . . . . add 7x+27 to both sides
_____
The attached graph shows both equations. They are in different colors and textures so you can see they are the same line.
Answer:
A: 10.9
Step-by-step explanation: -2.3 is 2.3 away from zero then add the length from zero to the postive number which in this case is 8.6, therefore the equation is 2.3 + 8.6 = 10.9
When you add 8 to the end of a function formula, the graph moves UP 8 units. This is often called either a translation or vertical shift.
Answer:
The radius is r=5 units
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to

where
(h,k) is the center and r is the radius
we have

Convert to standard form
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square twice. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares

therefore
The center is the point (6,-3) and the radius is r=5 units