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ipn [44]
3 years ago
6

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

th when sneezing is . Suppose you sit on a bench in a mall and observe​ people's habits as they sneeze. ​(​a) What is the probability that among randomly observed individuals exactly do not cover their mouth when​ sneezing
Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Complete Question

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze

(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?

Answer:

P(X=6)=(0.162)

Step-by-step explanation:

From the question we are told that:

Sample size n=18

Probability P=0.267

No. that do not cover their mouth when sneezing x=6

Generally the equation for The Binomial distribution is mathematically given by

Parameters

B(18,0.267)

Therefore

P(X=x)=(18..x)(0.267)^x(1-0.267)^{18-x}

Where

x=6

Therefore

P(X=6)=(18..6)(0.267)^6(1-0.267)^{18-6}

P(X=6)=(0.162)

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Lerok [7]
In general, the sum of the measures of the interior angles of a quadrilateral is 360. This is true for every quadrilateral. This does not help here, because there are two angles (angles B and D) we know nothing about. We only know about opposite angles A and C.

In this case, you can use another theorem.
Opposite angles of an inscribed quadrilateral are supplementary.

m<A + m<C = 180

3x + 6 + x + 2 = 180

4x + 8 = 180

4x = 172

x = 43

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Answer: 135 deg
6 0
3 years ago
Please help and explain how you solved it. Thanks.
galina1969 [7]

Answer:

This is 0.14 to the nearest hundredth

Step-by-step explanation:

Firstly we list the parameters;

Drive to school = 40

Take the bus = 50

Walk = 10

Sophomore = 30

Junior = 35

Senior = 35

Total number of students in sample is 100

Let W be the event that a student walked to school

So P(w) = 10/100 = 0.1

Let S be the event that a student is a senior

P(S) = 35/100 = 0.35

The probability we want to calculate can be said to be;

Probability that a student walked to school given that he is a senior

This can be represented and calculated as follows;

P( w| s) = P( w n s) / P(s)

w n s is the probability that a student walked to school and he is a senior

We need to know the number of seniors who walked to school

From the table, this is 5/100 = 0.05

So the Conditional probability is as follows;

P(W | S ) = 0.05/0.35 = 0.1429

To the nearest hundredth, that is 0.14

3 0
3 years ago
Please answer this question now in two minutes
fenix001 [56]

Answer:

Equation of a line is y = mx + c

where

m = slope

c = y intercept

y = 1/6x - 3

Comparing with the above formula

m = 1/6

Since the lines are parallel their slope are also the same

So the equation of the line using point (-4,2) is

y - 2 = 1/6( x + 4)

y - 2 = 1/6x + 2/3

y = 1/6x + 2/3 + 2

y = 1/6x + 8/3

Hope this helps

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3 years ago
How much do you need to subtract from 87/10 to make 8
lisov135 [29]

Answer:

You would have to subtract 7/10

Step-by-step explanation:

87/10 - 7/10 would equal 8

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3 years ago
What is another name for a unit
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Answer:Group

Step-by-step explanation:

8 0
3 years ago
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