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Misha Larkins [42]
2 years ago
14

2. cos 0° a) sin 1° b) c) sin 90° d) tan 90° B)cos 1°

Mathematics
1 answer:
motikmotik2 years ago
5 0

Answer:

sin 90

Step-by-step explanation:

cos (0)

Using the unit circle, we know that cos 0=1

sin 1 and cos 1  are not equal to 1

sin 90 =1

tan 90 = sin 90/ cos 90 = 1/0 =undefined

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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
Charlie has 468 onions he puts 12 in each bag. He sells each bag for 8$ a bag.
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Answer:

$312

Step-by-step explanation:

468/12

12 * 8

5 0
3 years ago
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A square patio has an area of 200 square feet . How long is each side of the patio to the nearest tenth ?
MAXImum [283]

Givens

Area = 200 square feet

Formula

A = s^2

Soluton

s^2 = 200 square feet.

Take the square root of both sides.

square root s^2 = square root (200)

You  should use a calculator to find the square root of 200

√

200

=

is the way to put it into the calculator.

s = 14.1 feet on each side. <<<<< Answer

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3 years ago
Help me please! I would appreciate it! :)
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Answer:

y = 11 1/2

Step-by-step explanation:

7y - 63 = y + 3

-y.           -7

6y - 63 = 3

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6y = 69

/6.     /6

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Step-by-step explanation:

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