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kogti [31]
2 years ago
8

Assume the annual day care cost per child is normally distributed with a mean of ​$9000 and a standard deviation of ​$1000. What

percent of day care costs are more than ​$8600 ​annually?
Mathematics
1 answer:
Tpy6a [65]2 years ago
3 0

Answer:

65.54% (nearest hundredth)

Step-by-step explanation:

Given:

  • \sf \mu=9000
  • \sf \sigma=1000

\sf X \sim N(\mu, \sigma^2)\implies X \sim N(9000,1000^2)

P(X > 8600) = 1 - P(X ≤ 8600)

                    = 1 - 0.3445782584

                    = 0.6554217416

                    = 65.54%

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F=32+1.8c. This is in slope intercept form, so 32 is the Y intercept, and the slope is 1.8(9/5).
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3 years ago
How do you simplify -24e5/6e
kifflom [539]
-24e^5/6e = -<span>4e^4
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3 years ago
(2/5,-2/5),(-7/8,-3/5)
Misha Larkins [42]

Answer: (-19/80, -1/2)

Step By Step Explanation:

First you want to do 2/5 - 7/8. Once you get -19/40, you want to divide it by 2. After doing this step, you will get -19/80. Next, you want to do the same thing with the other one. -2/5 -3/5 or 2/5+3/5 except the answer will be negative. Now you get -1/2. Therefore, the answer is (-19/80, -1/2). Sorry if my explanation is trashy.

3 0
3 years ago
Using the Vertical Line Test<br> Which graph does not represent a function?
Nadusha1986 [10]

Using the Vertical Line Test, the graph does not represent a function is  ellipse, the third graph.

<h3>What is vertical line test?</h3>

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function. It is done by visually examining the number of intersections of the curve with vertical lines.

Any vertical line in the x y plane must intersect the graph of a function at most once.

In the given graphs, the graph of a function intersects the y axis twice. So, it is not a function.

From the given graphs, the third graph which is of ellipse crosses the vertical line twice.

Thus, the graph does not represent a function is ellipse.

Learn more about vertical line test.

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5 0
1 year ago
What is the radius of a sphere with a volume of 1/6 pie
Yakvenalex [24]

Answer:

\large\boxed{the\ radius\ R=\dfrac{1}{2}}

Step-by-step explanation:

The formula of a volume of a sphere:

V=\dfrac{4}{3}\pi R^3

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Substitute:

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\dfrac{4}{3}R^3=\dfrac{1}{6}          <em>multiply both sides by 3</em>

3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}R^3=3\!\!\!\!\diagup^1\cdot\dfrac{1}{6\!\!\!\!\diagup_2}

4R^3=\dfrac{1}{2}          <em>divide both sides by 4</em>

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3 0
3 years ago
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