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
Alex_Xolod [135]
3 years ago
7

Outside a​ home, there is aa 44​-key keypad numbered 11 through 44. The correct sixsix​-digit code will open the garage door. Th

e numbers can be repeated in the code.
​(a) How many codes are​ possible? ​
(b) What is the probability of entering the correct code on the first​ try, assuming that the owner​ doesn't remember the​ code?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0

Answer:

a) 4,096

b) 0.000244

Step-by-step explanation:

a)  

By the Fundamental rule of counting, there are

4*4*4*4*4*4 = 4,096  

ways of forming six-digit arrangements where each position has 4 possibilities (1 to 4)

b)

The probability of entering the correct code on the first try, assuming that the owner does not remember the code is  

1/4096 = 0.000244

You might be interested in
Write the point-slope form of the line that passes through (6,1) and is perpendicular to a line with a slope of -3. include all
Hitman42 [59]

Answer:

(y-1)=\frac{1}{3}(x-6)

Step-by-step explanation:

The equation of the line in point-slope form is:

(y-y_1)=m(x-x_1)

Where m is the slope and (x_1,y_1) is a point of the line.

The slopes of two perpendicular lines are opposite reciprocal, then the other slope is:

m=\frac{1}{3}

Substitute the slope and the given point into the equation, then you obtain:

(y-1)=\frac{1}{3}(x-6)

4 0
2 years ago
Solve right triangle ABC given the following: C = 90° , B = 53°, b = 23.
Anastasy [175]
A=17.33174
c=28.79912
A=37
area=199.31505


pls give brainliest if someone else comments :)
7 0
3 years ago
4. How many real-number solutions does the equation have?
erma4kov [3.2K]
2 solutions. This is because the parabola will cross the x axis twice. We know this because -5 means the vertex will be 5 units below the x axis. and the parabola opens upwards because the first coefficient is positive. Hope this helped :)
5 0
3 years ago
8x+8(c+8)-6 show work its for my homework i get it but im just making sure i did it right:)
ioda
8x+8c+164-6
=8x+8c+158
7 0
3 years ago
Read 2 more answers
HELP ME!! I WILL GIVE BRAINLIEST!!! Express your answer in SCIENTIFIC NOTATION. 9.3 × 10⁷ - 3.4 × 10⁶ = __________ plz help!!
DanielleElmas [232]

Answer:

9.3 × 10⁷ - 3.4 × 10⁶ = 89 600 000

Which is 8.96*10^7 in scientific notation

Hope this helps you

4 0
3 years ago
Other questions:
  • How do you find the scale factor
    6·1 answer
  • Crystal earns $5.50 per hour mowing lawns.
    7·1 answer
  • What is the Difference between Order of operations and Algebraic Expressions
    11·1 answer
  • In the notation "s(x) = ...," what does "s(x)" represent?
    6·1 answer
  • In a hat, you have index cards with the numbers 1 through 10 written on them. Find how many of the 10 possible numbers you can p
    11·2 answers
  • 0 .0346 as a fraction.
    9·1 answer
  • What is y-8=3(x+1) written in standard form
    9·1 answer
  • Someone please help me with this !
    7·2 answers
  • There are 12 pieces of bubble gum, 10 caramels,8 peppermints and 6 gummy bears ina bag.what is the ratio?
    12·1 answer
  • How many times do i have to multiply to gert from 6.98 to 6968
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!