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melamori03 [73]
3 years ago
5

Thinking about the areas of a Standard Normal Distribution, as z values decrease, do the areas to the left of z increase, or dec

rease?

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0
The figure below shows the standard normal distribution or "bell-shaped" curve, plotted against the z-score.
The z-score is defined as
z = (x - μ)/σ
where
x = nrandom variable
μ = mean
σ = standard deviation.

As z-values decrease, areas to the left of z decrease as shown by the shaded area.

Answer:
Areas to the left of z decrease.

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Find the y-intercept of the following equation. Simplify your answer.<br> y = -10x -3/7
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Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?
monitta

Answer:

(x-7)^2+(y-2)^2=34

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:

(x-7)^2+(y-2)^2=r^2

Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:

(2-7)^2+(5-2)^2=r^2

Solve for <em>r: </em>

<em />(-5)^2+(3)^2=r^2<em />

Simplify. Thus:

25+9=r^2

Finally, add:

r^2=34

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

(x-7)^2+(y-2)^2=34

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