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Vilka [71]
3 years ago
10

What is the fourth term of the expansion of the binomial (2x + 5)^5? Hence find the value of (2.02)5 correct 3D.P

Mathematics
1 answer:
vazorg [7]3 years ago
7 0

Answer:

5000x^2 is the 4th term

Step-by-step explanation:

ok, 1 bionimial theorem coming right up

for a binomial expansion of (a+b)^n

the kth term is

means

n is 5

4th term

4-1=3

and a=2x

b=5

so

(10)(4x^2)(125)

5000x^2 is the 4th term

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3y + 7 = x is this a direct proportion
Tju [1.3M]

Answer:

no

Step-by-step explanation:

if the ratio (yx) of two variables (x and y) is equal to a constant (k=yx) .in this case y is said to be directly proportional to x with proportionality constant k

3 0
3 years ago
Explain how to use the distributive property to find an expression that is equivalent to 20 + 16. PLZ REALLY NEED HELP
anzhelika [568]

Answer:

16 + 20 or 2 x 18

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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
I am<br> thinking of a #at least 13
steposvetlana [31]

Answer:

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3 0
3 years ago
A man who is 6 ft tall is standing next to a flagpole. The shadow of the man is 3.5 ft and the shadow of the flagpole is 17.5 ft
rjkz [21]

Answer: 30 ft

Step-by-step explanation:

Cross multiply:

6 : 3.5

x : 17.5

Then divide 105 with 3.5x.

105/3.5x = 30

5 0
3 years ago
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