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erica [24]
2 years ago
11

PLS HELP!!! WILL GIVE BRAINLIEST!!

Mathematics
2 answers:
Gnoma [55]2 years ago
8 0

Answer:

x = 1

Step-by-step explanation:

DerKrebs [107]2 years ago
8 0

Answer:

if it is mutiple choice the answer is c i just did this like an hour ago!

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According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mou
VikaD [51]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 P(X = 8) =  0.0037

b

 P(X <  5) =  0.805

c

 P(X > 6) =  0.0206

I would be surprised because the value is very small , less the 0.05

Step-by-step explanation:

From the question we are told that

The probability a randomly selected individual will not cover his or her mouth when sneezing is p = 0.267

Generally data collected from this study follows  binomial  distribution because the number of trials is  finite , there are only two outcomes, (covering  , and  not covering mouth when sneezing ) , the trial are independent

Hence for a randomly selected variable  X we have that  

   X \ \ \~ \ \ { B ( p , n )}

The probability distribution function for binomial  distribution is  

    P(X = x ) =  ^nC_x *  p^x *  (1 -p) ^{n-x}

Considering question a

Generally the  the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when​ sneezing is mathematically represented as

     P(X = 8) =  ^{12} C_8 *  (0.267)^8 *  (1- 0.267)^{12-8}

Here C denotes  combination

So

     P(X = 8) =  495  *  0.000025828 * 0.28867947

    P(X = 8) =  0.0037

Considering question b

Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when​ sneezing is mathematically represented as

     P(X <  5 ) =[P(X = 0 ) + \cdots + P(X = 4)]

=>   P(X <  5 ) =[ ^{12} C_0 *  (0.267)^0 *  (1- 0.267)^{12-0} + \cdots +  ^{12} C_4 *  (0.267)^4 *  (1- 0.267)^{12-4} ]

=> P(X <  5 )  =  0.02406 +  0.10516 + 0.21067 + 0.25580 + 0.20964

=>  P(X <  5) =  0.805

Considering question c

Generally the probability that fewer than half(6) covered their mouth when​ sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as

      P(X > 6) =  1 - p(X \le  6)

=>    P(X > 6) = 1 - [P(X = 0) + \cdots + P(X =6)]

=>    P(X > 6)=1 - [^{12} C_0 *  (0.267)^0 *  (1- 0.267)^{12-0}+ \cdots + ^{12} C_4 *  (0.267)^6 *  (1- 0.267)^{12-6} ]

=>    P(X > 6)= 1 - [0.02406 + \cdots + 0.0519 ]  

=>    P(X > 6) =  0.0206

I would be surprised because the value is very small , less the 0.05

8 0
3 years ago
HELP
larisa86 [58]
It looks like the parabola are going down, so  the coefficient should be negative,
B or C,
then we see that the parabola has x -intercepts (1,0) and (5,0)
these roots should be written as multiples 
x=1, so x-1=0
and 
x=5, so x-5=0,
so (x-1)(x-5) and negative first coefficient -2 at the same time. 
We can see only in the 
B. <span>f(x) = –2(x – 5)(x – 1)</span>
7 0
3 years ago
Read 2 more answers
An apartment complex has a floor plan with dimensions shown. To effectively air condition a room, 20 BTU’s are required for ever
kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

It is made up of a semi-circle a rectangle, and a trapezoid.

Step 2:

The area of a semi-circle =\frac{ \pi r^{2} }{2} .

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle =\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079 square feet.

The area of a rectangle = (l)(w).

The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle = (l)(w) =(22)(20) = 440 square feet.

The area of a trapezoid =\frac{a+b}{2} (h).

Here a=12, b= 20, h= 3.

The area of a trapezoid =\frac{12+20}{2} (3) = 48 square feet.

Step 3:

The total area of the floor plan =157.079+440+48 = 645.079 square feet.

If 20 BTU's are required for a single square foot,

The number of BTU's for 645.079 square feet = (645.079)(20)=12,901.58 BTU's.

Rounding this off, we get 12,900 BTU's required  to cool the room effectively.

7 0
3 years ago
I need to solve for x and y. Any help is greatly appreciated! Thank you!
Inessa05 [86]

x=-3, y=1

Step-by-step explanation:

Given equations are:

2x-3y=-9     Eqn 1

x+y = - 2      Eqn 2

From eqn 2:

x=-y-2

Putting x=-y-2 in eqn 1

2(-y-2)-3y=-9\\-2y+4-3y=-9\\-5y-4=-9\\Adding\ 4\ on\ both\ sides\\-5y-4+4=-9+4\\-5y=-5\\Dividing\ both\ sides\ by\ -5\frac{-5y}{-5}=\frac{-5}{-5}\\y=1\\Putting\ y=1\ in\ eqn\ 2\\x+1=-2\\Subtracting\ 1\ from\ both\ sides\\x+1-1=-2-1\\x=-3

Hence,

x=-3, y=1

Keywords: Linear equations, Variables

Learn more about linear equations at:

  • brainly.com/question/4034547
  • brainly.com/question/4054269

#LearnwithBrainly

3 0
3 years ago
HELP! 9 is what percent of 100 (need to show how I got my answer)
exis [7]

Answer:

9%

Step-by-step explanation:

We can start by changing this number to a fraction.

\frac{9}{100}

We know that 100 is a whole percentage

Therfore, we would get 9%

6 0
2 years ago
Read 2 more answers
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