-6 + 7 = 1 and -6*7 = -42
So f(x) = (x + 7)(x - 6)
The data point is 1.6 standard deviations above the mean.
Step-by-step explanation:
Z-score
It is the number of standard deviations from the mean that a data point is. It's a measure of how many standard deviations below or above the population mean a raw score is.
A Z-score is also known as a standard score and it can be placed on a normal distribution curve.
As in this case the Z-score is +1.6, so it means the data point is 1.6 standard deviations above the mean. Hope this helps I am kinda knew to this so I hope I helped you
<h3>
Answer: 110 degrees</h3>
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Work Shown:
x = measure of minor arc CL
angle J = ( (far arc) - (near arc) )/2
angle J = ((red arc) - (yellow arc))/2
angle J = ( (minor arc CL) - (minor arc CK) )/2
35 = ( x - 40 )/2
35*2 = x-40
70 = x-40
x-40 = 70
x = 70+40
x = 110
Minor arc CL = 110 degrees
Answer:
25,200in²
Step-by-step explanation:
The architect wants to draw a room that has an area of 175 ft². We need to find this measurement in square inches.
<u>Square feet and square inches are different from feet and inches. </u>
We should know that a square foot is 144 square inches.
Multiply 175 * 144.
So the same architect wants to draw a room that should have an area of 25,200in².
<em>Brainilest Appreciated. </em>
Answer:
Equation is: y = 0.5x² + 0.5x - 3
Explanation:
general form of the parabola is:
y = ax² + bx + c
Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.
First point that we will use is (0,-3).
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3
The equation now becomes:
y = ax² + bx - 3
The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I
The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II
Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5
Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a
b = 1.5 - 2(0.5)
b = 0.5
Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3
Hope this helps :)
