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3 years ago

Help me please thank you

Mathematics

1 answer:

uranmaximum [27]3 years ago

6 0

I think A? Don’t take my word for it though maybe wait for a pro to help u I’m not the best but I think it’s A. TLDR I think it’s A but I might be wrong.

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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:

$P(X = 8) = 0.0037$

$P(X < 5) = 0.805$

$P(X > 6) = 0.0206$

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

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

$P(X = 8) = 0.0037$

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

How many triangles can be constructed with sides measuring 1 m, 2 m, and 2 m?

Margaret [11]

Answer: B
Explanation: ONE triangle can be formed.
According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.
Here, the sides are 1 m, 2 m, and 2m. 1m + 2m = 3m > 2m (theorem followed) 2m + 2m = 4m > 1m (theorem followed)
Since, the triangle inequality theorem is followed, Hence, ONE triangle can be formed.

8 0

4 years ago

Read 2 more answers

Solve the quadratic equation 3x² + 2x-4=0 Give your answers to 2 decimal places.

GalinKa [24]

3x² + 2x - 4 = 0

Δ = b² - 4.a.c

Δ = 2² - 4 . 3 . -4

Δ = 4 - 4. 3 . -4

Δ = 52

x = (-b +- √Δ)/2a

x' = (-2 + √52)/2.3

x'' = (-2 - √52)/2.3

x' = 0,8685170918213297

x'' = -1,5351837584879966

2 Decimal places

x' = 0,87

x'' = -1,54

6 0

4 years ago

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Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number. n= Answer

Ira Lisetskai [31]

Answer:

-45

Step-by-step explanation:

2/3x - 11 = x + 4

I created an inequality representing the above statement first. This makes things look less complicated than what the question is asking.

2/3x = x + 15

solve for x. I started by adding 11 to both sides.

-1/3x = 15

multiply both sides by -3

x = -45

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3 years ago

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Tia's teacher asked her to find the product of 8 and 207 in her head. Which of the following describes the best way for Tia to m

Mkey [24]

Answer:

the answer is number 2

Step-by-step explanation:

207 200

x 8 x 8

1656 1600

+ 56

1656

3 0

4 years ago