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serious [3.7K]
3 years ago
9

A normal curve is ___________ about the mean. consequently, 50% of the total area under a normal distribution curve lies on the

left side of the mean, and 50% lies on the right side of the mean.

Mathematics
1 answer:
kozerog [31]3 years ago
8 0
In statistics, when you gather data points for the same test, you construct a distribution graph. For example, you make a statistics based on the score of a class for a 145-item test. You graph it based on frequency such as, 10 students got 50 points and so and so forth. When that test have a few outliers and have more or less the same score, you form a normal distribution graph. It is more commonly known as the Gaussian Bell Curve. An example would be shown in the picture.

A normal distribution curve is symmetric about the mean. As a result, the area under the curve on the left side of the mean would be equal to the area under the curve on the right side of the mean. So, each would constitute 50%.

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If APORASTU, what is the scale factor of APOR to ASTU?<br> Ο Α. 5<br> Ο Ο Ο<br> Β. 4<br> G.<br> D
forsale [732]

Answer:

C

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original

scale factor = \frac{TU}{QR} = \frac{4}{20} = \frac{1}{5} → C

7 0
3 years ago
Anthony wants to purchase an electric guitar. The price of the guitar, with tax, is $599. He can save $25 per
Nataly_w [17]

Answer:

it will take him 24 months to save the guitar

Step-by-step explanation:

5 0
3 years ago
Hi everyone, I'm having trouble with this question and I'm not sure how to do it/where to start. Does anyone have a solution to
Andreyy89

This is quite an interesting problem. I am not sure how high you are in math, but I am going to use calculus I techniques to solve it. First, we need to model an equation. Let P be the total profit and x be every time you increase the cost by $10. If you think about it hard enough you come up with the equation

P(x)=(200-5x)(250+10x)

(200-5x) is the amount of plots you will be able to sell, and (250+10x) is the amount you charge for. So, at x =0

P(0)=(200-5(0))(250+10(0))=(200)(250)=$50,000

This is the initial condition where if we sell 200 plots at $250/plot.

So, this equation makes sense.

Now, let's maximize using the first derivative of the function.

Let's get it into an easily differentiable form.

P(x)=(200-5x)(250+10x)=-50x^2+2000x-1250x+50000\\=-50x^2+750x+50000

From here, differentiate the problem.

P'(x)=-100x+750

Now, set it equal to zero and solve for x.

P'(x)=-100x+750=0\\x=7.5

This a critical point of the function. Let's plug back into the original equation to see what it gives us.

P(7.5)=(200-5(7.5))(250+10(7.5))=(162.5)(325)=52,812.50

You cant sell half a plot, so we need to see what happens if we sell 162 plots and 163 plots, and then compare which one gives us more money.

In order to sell 162 plots

200-5x=162\\x=7.6Plug back into P(x) to see the profit

P(7.6)=(200-5(7.6))(250+10(7.6))=(162)(326)=52,812

Now, do the same for 163 plots

200-5x=163\\x=7.4\\P(7.4)=(200-5(7.4))(250+10(7.4))=(163)(324)=52,812

As we can see, they are the same. So, you can charge either $324 or $326 in rent. But, if your teacher is not looking for a logical answer and you can somehow sell half a plot, you can charge $325 in rent for the maximum profit.

6 0
3 years ago
Factor completely: 8x²+2x-15
Sliva [168]
Answer is below. Open it up in a new window to see it entirely...

8 0
4 years ago
Read 2 more answers
choose the equation below that represents the line passing through the point (2, −4) with a slope of one half. y = one halfx 5 y
AlexFokin [52]
Hello,

One half may be written 0.5=1/2=1*2^(-1).

y+4=(x-2)*1/2==>y=x/2-5

Answer C


3 0
3 years ago
Read 2 more answers
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