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Kaylis [27]
3 years ago
6

How do u simplify -1+- sqrt -24

Mathematics
2 answers:
MaRussiya [10]3 years ago
6 0
First find the square root of -24 which would be -4.898979486 then either subtract 1 or add negative 1, it's the same thing, and that would give you -5.898979486.
JulsSmile [24]3 years ago
3 0
So, the +/- means there are two answers, one that adds the √(-24) and one that subtracts the √(-24). You can leave that the way it is as +/-
The negative inside the square root is an imaginary number "i" = √(-1)
This is whats called a complex number which has the imaginary number "i".
Factor out the imaginary number and any perfect square factors of 24.
24 = 6 × 4
4 is a perfect square of 2, so 2 factors out of the square root.

-1 +/- √(-24)
-1 +/- i√(6×2²)
-1 +/- 2i√(6)
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3 years ago
The weight of a product is normally distributed with a mean of four ounces and a variance of .25 squared ounces. What is the pro
ololo11 [35]

Answer:

P(X>3.75)=P(\frac{X-\mu}{\sigma}>\frac{3.75-\mu}{\sigma})=P(Z>\frac{3.75-4}{0.5})=P(z>-0.5)

And we can find this probability using the complement rule and we got:

P(z>-0.5)=1-P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(4,\sqrt{0.25}=0.5)  

Where \mu=4 and \sigma=0.5

We are interested on this probability

P(X>3.75)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>3.75)=P(\frac{X-\mu}{\sigma}>\frac{3.75-\mu}{\sigma})=P(Z>\frac{3.75-4}{0.5})=P(z>-0.5)

And we can find this probability using the complement rule and we got:

P(z>-0.5)=1-P(z

5 0
3 years ago
5a+4c-b<br><img src="https://tex.z-dn.net/?f=5a%20%2B%204c%20-%20b%20" id="TexFormula1" title="5a + 4c - b " alt="5a + 4c - b "
Tatiana [17]
Hi,

5a + 4c - b = 5a + ( - 4bc) \\ 5a - 4bc = 1abc

Hope this helps.
r3t40
8 0
3 years ago
A line and the point (3,4) are graphed in the coordinate plane. what is the equation of the line that passes through the point (
oksano4ka [1.4K]

Answer:

B. y=1/4x+13/4

Step-by-step explanation:

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2 years ago
Find the area of a circle with a circumference of 6.28 unitesz
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Answer:

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Step-by-step explanation:

Circumference of a circle = 2πr

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Area of a circle = πr^2

slot in the value of r

Area of the circle = π( 3.142/π)^2

               "              = π(9.87/ π^2)

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π = 3.14

Area of a circle = 9.867/ (3.14)

              "            = 3.14 square units

                     

8 0
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