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Natasha2012 [34]
3 years ago
6

About 2% of the population has a particular genetic mutation. 1000 people are randomly selected. Find the mean for the number of

people with the genetic mutation in such groups of 10
Mathematics
1 answer:
Alla [95]3 years ago
6 0

Answer:

Step-by-step explanation:

We khow that the genetic mutation affect 2 percent of the population .

Let's try to understand what does this mean :

  • in a group of 100 people there is possibility of finding 2 people with this genetic mutation
  • in a group of 1000 the possibility raises to 20 people so we can deduce that each time we add a zero we add a zero in 2

so :

  • 100⇒2
  • 1000⇒20
  • 10000⇒200
  • 100000⇒2000

and so on

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A sequence can be generated by using an=4a(n-1)
WITCHER [35]
This problem is half understanding the question and half just plugging in numbers.

Understanding the Question:
So its saying that n = whole number bigger than one, making n = 2, 3, 4, 5, etc.

Now try plugging any number n into the a_n = 4a_{n-1} equation. Let's use 2 to make it simple. If you plug in 2, you get:
a_2 = 4a_{2-1}\\
a_2 = 4a_1
Remember that the subscripts (the small numbers in the corner) are simply the term number. a_1 is term 1, a_2 is term 2, etc. The equation is saying that "term 2 = 4 times term 1."

If you keep plugging in random numbers for n, you'll see that the equation basically says, "a term = 4 times the term right before it." That makes it easy to plug and chug to get our answer.

Plugging and Chugging
Now we understand the question is asking for the first 4 terms, and each term is 4 times the last term. You're told that term 1, a_1 = 6. That makes the next four terms:

Term 2
a_2 = 4a_{2-1}\\
 a_2 = 4a_1\\
 a_2 = 4(6)\\
 a_2 = 24

Term 3
a_3 = 4a_{3-1}\\ a_3 = 4a_2\\ a_3 = 4(24)\\ a_3 = 96

Term 4
a_4 = 4a_{4-1}\\ a_4 = 4a_3\\ a_4 = 4(96)\\ a_4 = 384

Your first 4 terms are 4, 24, 96, and 384.

--------

Answer: A) F

6 0
3 years ago
Help please !!!!! Math 3
Pachacha [2.7K]

Answer:

A

Step-by-step explanation:

The degree of a polynomial is determined by the largest exponent in the terms of the polynomial. The leading coefficient is the coefficient of the term with the largest exponent.

Given

f(x) = 2x³ + 2x² - \frac{1}{x}

The term - \frac{1}{x} means that f(x) is not a polynomial

Since terms with division by a variable are not allowed.

3 0
3 years ago
Distribute: -3(4a-5b+c)​
kvv77 [185]

Answer:

I got it.

Step-by-step explanation:

-12a - (-15b) + (-3c)

4 0
3 years ago
In order to estimate the mean amount of time computer users spend on the internet each​ month, how many computer users must be s
levacccp [35]

Answer:

1877 computer users

Step-by-step explanation:

We have that for 95% of confident, the value of z has a value of 1.96 (attached table about it), they also mention the margin of error (E) that is 10 and finally the standard deviation (sd) that has a value of 221.

We apply the following formula:

n = [z * sd / E] ^ 2

replacing:

n = [1.96 * 221/10] ^ 2

n = 1876.27

that is, the minimum sample size is 1877

7 0
3 years ago
laptop screen sizes are determines by the diagonal measurement rounded to the nearest whole number a laptop screen has a 9 in wi
Delvig [45]
------------------------------------------------------------------------------------------
Formula
------------------------------------------------------------------------------------------
a² + b² = c²

------------------------------------------------------------------------------------------
Find Diagonal
------------------------------------------------------------------------------------------
9² + 7² = c²
c² = 81 + 49
c² = 130
c = 11 in (Nearest whole number)

------------------------------------------------------------------------------------------
Answer: The diagonal measure 11 inches
------------------------------------------------------------------------------------------
6 0
3 years ago
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