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SIZIF [17.4K]
2 years ago
15

About 4% of the population has a particular genetic mutation. 100 people are randomly selected. Find the standard deviation for

the number of people with the genetic mutation in such groups of 100.
Mathematics
1 answer:
blondinia [14]2 years ago
8 0
400 because 100x40 is 400
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Use the Venn diagram to calculate probabilities. Circles A and B overlap. Circle A contains 15, circle B contains 10, and the in
grin007 [14]

Answer:

(B) P(B)=\dfrac{16}{31}

Step-by-step explanation:

From the Venn diagram, n(AUB)=31

The given probabilities in the option are calculated below:

P(A)=\dfrac{21}{31}\\\\P(B)=\dfrac{16}{31}\\\\P(A|B)=\dfrac{P(A\cap B)}{P(B)}= \dfrac{6/31}{16/31} =\dfrac{6}{16}=\dfrac{3}{8} \\\\P(B|A)=\dfrac{P(B\cap A)}{P(A)}= \dfrac{6/31}{21/31} =\dfrac{6}{21}=\dfrac{3}{7}

The only correct option is the probability of B which is \frac{16}{31}

8 0
3 years ago
The formula for the circumference of a circle is c= 2pi r, where r is the radius. Rearrange the formula to solve for our and sel
ratelena [41]

Answer:  r = C/(2pi)

This is the same as writing r = \frac{C}{2\pi}

=========================================================

Explanation:

pi is some number (approximately 3.14) which means 2pi is also some number (roughly 6.28)

Saying c = 2pi*r means we have 2pi times r, and the result is the circumference c. To isolate r, we'll undo the multiplication. We'll undo it by dividing both sides by 2pi like so

C = 2pi*r

C/(2pi) = r

r = C/(2pi)

in which we can write it like r = \frac{C}{2\pi}

So whatever C is, we divide it over 2pi (aka roughly 6.28) to get the radius.

-----------------

Extra Info (Optional Section):

As an example, let's say the circumference of the circle is 628 feet. This means the distance around the circle is 628 feet. So C = 628 would lead to...

r = C/(2pi)

r = C/(6.28)

r = 628/(6.28)

r = 100

So the radius would be roughly 100 feet.

8 0
3 years ago
The amount of money,y, in cash box after x tickets are purchased for carnival games. The slope of the line is 1/4 and the y-inte
victus00 [196]

Amount of money received when x tickets are sold=$Y

Number of tickets sold=X

Slope of line= \frac{1}{4}

And , y- intercept = 8

Equation of line having slope m and y-intercept c is given by,

  y = m x + c,

Expressing the above statement in terms of linear equation in two variable i.e a line is

  Y = \frac{1}{4}X + 8

5 0
3 years ago
A 20 cm long thin wire is used to form a square. What is the area of the square?
sergij07 [2.7K]

Answer:

25cm^2

Step-by-step explanation:

A square has 4 equal sides so each side will be 20/4 = 5cm

Easily calculate the area by taking 5 x 5 = 25cm^2

6 0
2 years ago
when the temperature is 68 F, the speed of sound in air is approximately 343 meters per second. Approximately how many kilometer
Digiron [165]

Hello!

Since we are given that the speed of sound in the air travels about 343 meters per second, we can multiply 343 meters per second by 5, and then we convert the meters to kilometers.

343 · 5 = 1715 meters per 5 seconds.

1000 meters are equal to 1 kilometer. So, we can divide 1715 by 1000 to convert meters to kilometers.

1715 / 1000 = 1.715

Therefore, the speed of sound in air is about 1.715 kilometers per 5 seconds.

6 0
2 years ago
Read 2 more answers
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