1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Snowcat [4.5K]
3 years ago
5

Use the binomial expression (p+q)^n to calculate a binomial distribution with n=5 and p=0.3.(Show all steps)

Mathematics
1 answer:
Helen [10]3 years ago
8 0

Answer:

The binomial in expanded form is (0.3 + q)^{5} = \frac{243}{100000} + \frac{81}{2000}\cdot q + \frac{27}{100}\cdot q^{2} + \frac{9}{10} \cdot q^{3} + \frac{3}{2}\cdot q^{4} + q^{5}.

Step-by-step explanation:

The Binomial Theorem states that a binomial of the form (a + b)^{n} can be expanded by using the following identity:

(a + b)^{n} = \Sigma \limits^{n}_{k = 0}\,\frac{n!}{k!\cdot (n-k)!}\cdot a^{n-k}\cdot b^{k} (1)

If we know that a = p = 0.3 and n = 5, then the expanded form of the binomial is:

(p+q)^{n} = \frac{243}{100000} + 5\cdot \left(\frac{81}{10000} \right)\cdot q + 10\cdot \left(\frac{27}{1000})\cdot q^{2} + 10\cdot \left(\frac{9}{100} \right)\cdot q^{3} + 5\cdot \left(\frac{3}{10} \right)\cdot q^{4} + q^{5}

(0.3 + q)^{5} = \frac{243}{100000} + \frac{81}{2000}\cdot q + \frac{27}{100}\cdot q^{2} + \frac{9}{10} \cdot q^{3} + \frac{3}{2}\cdot q^{4} + q^{5}

You might be interested in
Emily paid a total of $109.95 for 4 pairs of sandals and a pair of boots. Each pair of sandals cost the same amount. The pair of
miss Akunina [59]
First of all, subtract the amount the boots costed from the total price. 
109.95-29.99 
= 79.96

Now you have the price of the 4 sandals. 
To find the price of 1 pair, divide this total by 4 

79.96 / 4
= 19.99 $ for one pair of sandals! 
8 0
3 years ago
Read 2 more answers
(Look at photo for reference)
nevsk [136]

Answer:

B

Step-by-step explanation:

6% is usually represented by 0.06

Hope this helped :)

6 0
2 years ago
What does -4(3x-4)=44<br> What is x
eduard

Answer:

-7/3

Step-by-step explanation:

6 0
2 years ago
"EXPLAIN PLEASE" Which equation does the graph below represent
ch4aika [34]
The answer to your problem is A due to the slope of your line being -1/3x.

You can find this slope by picking two points on your graph [i.e. (-1,3) and (0,0)].

Find the difference between the two points, which is a one for the x value and a three for the y values. Now you have a slope of 1/3.

But wait! The slope is downwards, therefore a negative must be applied to your slope.

This provides you with a slope of -1/3x, therefore:

y = -1/3x
7 0
3 years ago
Please help me please help help me help please
notsponge [240]

Answer:

An equation of a line is written in the form y=mx+b. ”m” is the slope and ”b” is the y-intercept. So, substituting the values, the equation is y=-4x+1.

:)

7 0
3 years ago
Other questions:
  • If 1/2 x 10 = 8 -x, then x = ____
    11·1 answer
  • What’s the answer to part B
    14·1 answer
  • Calculate the constant of variation if y varies directly as x. y = -3 x = 2
    12·2 answers
  • Find the slope of 8x+2y=96
    9·1 answer
  • Break apart the number you are subtracting. write the difference 64-8
    11·1 answer
  • Find the missing endpoint if s is the midpoint of rt r(-9,4) and s(2,-1) ; find T
    10·2 answers
  • Has anybody ever done this or have the answer to them?
    15·1 answer
  • Rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
    7·2 answers
  • 4(4-w)=3(2w+2)<br> 20 points
    13·2 answers
  • Part 4: Model a real-world problem using an ellipse. An artist wants to make an elliptical sign out of a rectangular piece of wo
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!