All categories

3 years ago

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

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

5000x^2 is the 4th term

You might be interested in

3y + 7 = x is this a direct proportion

Tju [1.3M]

Answer:

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

$P(Z > -1.914 ) = 0.97219$

$P(X >300 ) = 0.97219$

8 0

3 years ago

I am<br> thinking of a #at least 13

steposvetlana [31]

Answer:

what do u mean

skjfjdkd

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