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
irina1246 [14]
3 years ago
15

A combination lock uses three distinctive numbers between 0 and 49 inclusive. how many different ways can a sequence of three nu

mbers be selected? (show work)
Mathematics
1 answer:
VladimirAG [237]3 years ago
4 0
It is a binomial distribution and the answer is 50C3 ==> 50!/3!(50-3)! => 19600
You might be interested in
We have $10,000 to invest for 44 months. How much money will we have if we put the money into an account that has an annual inte
polet [3.4K]
A = p(1 + r/n)^nt
p = principal
r = rate, change to a decimal
n = number of times it is compounded per year
t = time in years
A = 10,000(1 + .055/12)^(12*(44/12))
Since the time is in months and the formulas is in years, I put the (44/12) to represent the time. This will actually simplify to 44.
A = 10,000(1 + .055/12)^(44)
A = $ 12,228.77
3 0
3 years ago
Plz need this answer ASAP!
notsponge [240]
<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>

If a = 6 - \sqrt{35}, find the value of a² + \frac{1}{a²}

<h2><u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>

a = 6 - \sqrt{35} (Given)

Now, first of all we have to find the value of \frac{1}{a}.

So, \frac{1}{a} = \frac{1}{6 \: - \: \sqrt{35}}

\frac{1}{a} = \frac{6 \: + \sqrt{35}}{(6 \: - \: \sqrt{35})(6 \: + \: \sqrt{35})}

\frac{1}{a} = \frac{6 \: + \sqrt{35}}{(6)² \: - \: (\sqrt{35})²}

\frac{1}{a} = \frac{6 \: + \sqrt{35}}{36 \: - \: 35} (\because \sqrt{35} \: × \: \sqrt{35} \: = \: 35)

\frac{1}{a} = \frac{6 \: + \: \sqrt{35}}{1}

\frac{1}{a} = 6 + \sqrt{35}

Now, we have to find the value of a² + \frac{1}{a²}

So, a² + \frac{1}{a²} = (a \: + \frac{1}{a})² - 2.a.\frac{1}{a}

a² + \frac{1}{a²} = (6 \: - \sqrt{35} \: + \: 6 \: + \sqrt{35})² - 2

a² + \frac{1}{a²} = (12)² - 2

a² + \frac{1}{a²} = 144 - 2

a² + \frac{1}{a²} = 142

The value of a² + \frac{1}{a²} is <u>1</u><u>4</u><u>2</u>. [Answer]

7 0
3 years ago
Find the value<br> 100cm-10mm
likoan [24]

Answer:

99 cm

Step-by-step explanation:

100 cm - 10 mm = 99 cm

hope it helped u..

3 0
3 years ago
Read 2 more answers
What are the 2 types of Cells
Mars2501 [29]
Multicellular and unicellular or plant and animal cells
4 0
3 years ago
Read 2 more answers
What is the equation of a line with slope -1/2 passing through (-5,4)?
elena-14-01-66 [18.8K]
For this question you need to use what's called point-slope form. It's named this way because you can use it if you have both the slope and a point at which the line passes through. That said, the equation is as follows:

y - y1 = m(x - x1)

Both y1 and x1 represent the y and x coordinates you are given in the question. Also, m represents the slope of the line that you are given. Knowing this, our equation now looks like this:

y - 4 = -0.5(x - (-5))

And now simplify:

y - 4 = -0.5(x + 5)
y - 4 = -0.5x - 2.5

y = -0.5x + 1.5
4 0
4 years ago
Other questions:
  • What is the equation of the line that passes through the point (-4, 6) and has a slope of -5/4
    12·1 answer
  • Thomas brought 5 cases of soda for $45 each has 12 bottles.How much does it cost for one
    7·1 answer
  • Christian has $6 in his wallet and wants to spend it on apples.The apples cost $1.25 per apple.How many apples can Christian buy
    11·2 answers
  • Please answer this correctly
    12·2 answers
  • Tyler has a rectangular garden measuring 12m by 20m that he wants to split diagonally from corner to corner using a fence. How l
    13·1 answer
  • What are the advantages of using a simulation versus actually buying boxes of cereal?
    9·1 answer
  • Consider the enlargement of the triangle.
    12·2 answers
  • What decimal is 72/10 equal to
    5·2 answers
  • Solve equation by using the quadratic formula 25x^2 + 35x = -12​
    12·1 answer
  • Solve the system using substitution. Show your work and give your answers as an ordered pair.​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!