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Bas_tet [7]
3 years ago
5

Simplify.

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
4 0
I think the answer would be c
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What is the value of b
n200080 [17]

Angle = 68⁰ is an inscribed angles, this angle equal 68⁰,

so it intersect arc = 2*68⁰= 136⁰.

Arc of the whole circle (circumference) =360⁰,and it also =b+104+136.

b+104+136 =360

b=360-(104+136) = 120⁰

Answer A. b=120⁰.

7 0
4 years ago
An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha
TEA [102]

Answer:

The probability is   P(X  >300 ) = 0.97219

Step-by-step explanation:

From the question we are told that

 The capacity of  an Airliner  is  k =  300 passengers

 The sample size n =  320 passengers

  The probability the a randomly selected passenger shows up on to the airport

    p = 0.96

Generally the mean is mathematically represented as

    \mu  =  n*  p

  => \mu  =  320 *  0.96

    => \mu  = 307.2

Generally the standard deviation is  

    \sigma =  \sqrt{n *  p *  (1 -p ) }

=>  \sigma =  \sqrt{320  *  0.96 *  (1 -0.96 ) }

=> \sigma =3.50

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

  P(X  > k ) =  P( \frac{ X -\mu }{\sigma }  >  \frac{k - \mu}{\sigma } )

Here \frac{ X -\mu }{\sigma }  =Z (The \ standardized \  value \  of  \ X )

=>P(X  >300 ) =  P(Z >  \frac{300 - 307.2}{3.50} )

Now applying  continuity correction we have

    P(X  >300 ) =  P(Z >  \frac{[300+0.5] - 307.2}{3.50} )    

=>    P(X  >300 ) =  P(Z >  \frac{[300.5] - 307.2}{3.50} )

=>    P(X  >300 ) =  P(Z >  -1.914 )

From the z-table  

    P(Z >  -1.914 ) =  0.97219

So

    P(X  >300 ) = 0.97219

8 0
3 years ago
Simplify (3x+2)(x-7)
vovangra [49]
The answer is
3 {x}^{2}  - 19x - 14
first you must multiply or use the FOIL method (First, Outer, Inner, Last)
First you multiply the first terms
(3x)(x)
this gives you 3x^2, then you multiple the outer terms
( - 7)(3x)
this gives you -21x, then you multiply the inner terms
(2)(x)
that gives you 2x, finally you multiply the last terms
(2)( - 7)
that gives you 14, now you combine like terms
- 21x + 2x =  - 19x
now you put all the terms together and end up with your solution
3 {x}^{2}  - 19x - 14

8 0
3 years ago
Read 2 more answers
Which number(s) below belong to the solution set of the equation? Check all that apply.x + 12 = 13A.14B.1C.13D.312E.0F.25
Darya [45]
X + 12 = 13
x = 13 - 12
x = 1

The only solution is x = 1
letter B
4 0
4 years ago
In this polygon, which angle is an interior angle? Multiple Choice
makvit [3.9K]

Answer:

option c = angle b

Step-by-step explanation:

as angle b is inside the polygon as the rest angles are exterior(outside the polygon )

7 0
3 years ago
Read 2 more answers
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