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S_A_V [24]
3 years ago
9

To use an automated teller machine at a certain​ bank, you must enter a 3​-digit ​code, using the digits 1 dash 9. How many 3​-d

igit codes are possible if repetition of digits is​ permitted?
Mathematics
1 answer:
3241004551 [841]3 years ago
6 0

Answer:

729 , 3- digit codes are possible

Step-by-step explanation:

To use an automated teller machine at a certain​ bank, you must enter a 3​-digit ​code, using the digits 1 dash 9.

We need a 3 digit code using digits 1 to 9

so total of 9 digits are used

also repetition of digits are permitted

In a 3 digit code, first digit can be any number from 0 to 9

so 9 possible numbers for first digit.

since repetition is allowed so second and third digit also have any number between 0 to 9

3 digit code

------ ,  ------- , --------

9 possibilities for each place

---9--- ,  ----9--- , ----9----

9 *9 *9 = 729

so 729 , 3- digit codes are possible

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Step-by-step explanation:

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3 years ago
Solve the system of equations.<br> 3x + y = 3 <br> x + y = 2
qwelly [4]
When solving system equations, we can use substitution method or elimination. Today I'm using substitution method.

First name the 2 equations.
3x + y = 3 (1)
x + y = 2 (2)

Now pick one equation and express one algebra in forms of the other.
From (2),
x = 2 - y (3)

Now substitute (3) into (1),
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5 0
3 years ago
A bag contains blue yellow red and orange blocks. Tai randomly chose a block from the bag. Recorded the color and then put it ba
katrin [286]

Answer:

A)

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Red: \frac{1}{10}

B)

Blue: \frac{16}{40} =\frac{2}{5}

Red: \frac{8}{40} =\frac{1}{5}

C)

No the experimental probabilities found in "A" are not equal to the probabilities found in "B". The sample size of the the experiment was not large enough to reflect the actual probability.

D)

Blue: 80

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8 0
3 years ago
Sunnydale elementary school is having its annual read-a-thon.the third grader have read 573 books so far.their goal is to read m
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3 years ago
Construct ∆ABC using the following segment
salantis [7]

Answer:

  Use the angle copy procedure to copy the angles to the ends of c.

Step-by-step explanation:

An angle is copied with a straightedge two settings of a compass.

  1. Set the compass to an arbitrary radius. An appropriate choice is a radius that is half or more of the length of the shortest ray of the angles you want to copy.
  2. Put the point of the compass at the vertex of an angle you want to copy. Using that same radius, draw arcs through both rays of the angle. Do this for all the angles you want to copy.
  3. Put the point of the compass at the place where you want the vertex of the copied angle. Here, that is either (both) end points of segment c. (You might want to label the ends of segment c as "A" and "B" so you know which angle you're copying where.) Using the same radius as before, draw an arc through the segment and through the space where you expect the ray from the copied angle to lie.
  4. For one of the source angles, set the compass radius to the distance between the points where the first arc crosses the angle's rays. Then, put the point of the compass at the place on the segment c where the corresponding arc crosses. Use the compass to mark a point on that arc the same distance as on the source angle. Draw a line from the vertex through the point you just marked. That line will make the same angle with c as the original angle.
  5. Repeat step 4 for the other angle you want to copy, at the other end of segment c. In general, the compass setting will be different (unless all the angles have the same measure).

The place where the rays from the copied angles cross is the third vertex (vertex C) of the triangle you're constructing.

_____

<em>Comments on the attached diagram</em>

In the attached diagram, "step 1" is to place the target vertex. You already have that as one end of segment C. The arcs numbered 2 and 3 in the diagram are the arcs resulting from executing steps 2 and 3 above. (They have arbitrary radius "r", which is the same everywhere.) You will have two sets, because you are copying two angles.

The arcs numbered 4 and 5 in the diagram have radius ST, the distance you set in step 4 above. That distance is used as the radius of arc 5, so the length VW will be the same as the length ST. The straightedge is used to draw a line through B and W, completing the copy of the angle.

6 0
3 years ago
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