The standard deviation for the number of people with the genetic mutation is 3.77
<h3>How to determine the standard deviation?</h3>
The given parameters are:
Sample size, n = 300
Proportion that has the particular genetic mutation, p = 5%
The standard deviation for the number of people with the genetic mutation is calculated as:
Standard deviation = √np(1 - p)
Substitute the known values in the above equation
Standard deviation = √300 * 5% * (1 - 5%)
Evaluate the product
Standard deviation = √14.25
Evaluate the exponent
Standard deviation = 3.77
Hence, the standard deviation for the number of people with the genetic mutation is 3.77
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Answer:
Your answer will be x=2
Step-by-step explanation:
Five plus 6 times a number is equal to 21 minus 2 times the number
Your equation is this:
5+6x=21-2x
Subtract 6x from both sides
5+6x-6x=21-2x-6x
5=21-8x
subtract 21 on both sides
5-21=21-21-8x
-16=-8x Divide -8 on both sides
2=x
Hope this helps :)
Answer:
28 (length' unit)²
Step-by-step explanation:
- the area of all A rectangle is 4*8 =32
- The area of the missing portion of the rectangle is equal to the area of the triangle ½*(2)*(4)=4
- the area of this shape equal to
the area of all A rectangle - The area of the missing portion of the rectangle = 32 - 4 = 28 (length' unit)²
Answer:
Step-by-step explanation:
Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.
Examples
(a) 
From above, we have a power to a power, so, we can think of multiplying the exponents.
i.e.


Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.
SO;


Let's take a look at another example

Here, we apply the
to both 27 and 


Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.
∴
![= \Bigg (\sqrt[3]{27}^{5} \times x^{10} }\Bigg)](https://tex.z-dn.net/?f=%3D%20%5CBigg%20%28%5Csqrt%5B3%5D%7B27%7D%5E%7B5%7D%20%5Ctimes%20x%5E%7B10%7D%20%7D%5CBigg%29)

