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Andrei [34K]
3 years ago
6

In its standardized​ form, what properties does the normal distribution​ have?

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0

Answer:

B. The normal distribution has a mean of 0 and a standard deviation of 1.

C. The normal distribution cannot be used to approximate discrete probability distributions.

Step-by-step explanation:

We have to find the properties of normal distribution:

A) The given statement is false.

B) The given statement is true.

The normal distribution has a mean of 0 and a standard deviation of 1.

C) The given statement is true.

The normal distribution cannot be used to approximate discrete probability distributions because it is a continuous distribution and probability at any discrete value is zero.

D)The given statement is false.

The normal distribution has an area equal to 1.

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Answer:

4y^2 - 9x^2 = -36

Step-by-step explanation:

x = 2 sec t

y = 3 tan t

x^2 = 4 sec^2 t

y^2 = 9 tan^2 t

Now sec^2t = 1 + tan^2 t so we have:

4(1 + tan^2 t) + 9 tan^2 t = x^2 + y^2

4 + 13 tan^2 t = x^2 + y^2

13 tan^2 t = x^2 + y^2/ - 4

tan^2 t = x^2/13 + y^2/13 - 4/13

But , from the second equation tan t =  y/3 so tan^2 t = y^2/9, so:

y^2/9 =  x^2/13 + y^2/13 - 4/13

LCM of 9 and 13 is 117 so multiply thru by 117:

13y^2 = 9y^2 + 9x^2- 36

4y^2 - 9x^2 = -36

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3 years ago
The population of a city was 625000 in the year 1997. It decreased at the rate of 40% p.a. Find the population at the end of the
lyudmila [28]

Answer:

i had the same answer

Step-by-step explanation:

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4 years ago
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Answer:

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A right triangle has one leg with a length of 48 and a hypotenuse with a length of 80. What is the length of the other leg?
victus00 [196]
Using the pythagorean theorem (a^2 + b^2 = c^2), this would make the equation 48^2 + b^2 = 80^2 (the hypotenuse must be plugged in as the "c" value).

Once you solve, this becomes 2304 + b^2 = 6400.

Subtract 2304 from 6400 and you get b^2 = 4096.

Take the square root of 4096 and you get b=64.


The answer is 64.
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What is the quotient (125-8x^3) divided by (25+10x+4x^2)
Alenkinab [10]

Answer:

-2x + 5

Step-by-step explanation:

When you set this problem up:

\frac{125-8x^{3} }{25+10x+4x^{2} }

It's easy to see that you can't really divide them due to their differing variables. So, we need to factor the numerator to give us equivalent variables:

factor: -8x^{3} +125 = -(2x-5)(4x^2 +10x+25)

WAIT! Look at the longer factor:

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It is equivalent to our denominator! Now, that has made the job incredibly easier. Simply cancel out the like terms in the problem and we have our answer:

(-2x + 5)

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