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pashok25 [27]
4 years ago
13

Outside a​ home, there is a 4​-key keypad with letters Upper A comma Upper B comma Upper C comma and Upper D that can be used to

open the garage if the correct four​-letter code is entered. Each key may be used only once. How many codes are​ possible?
Mathematics
1 answer:
Nat2105 [25]4 years ago
6 0

Answer:

24 possible codes

Step-by-step explanation:

If every letter may be used only once, we can calculated how many codes are possible using the rule of multiplication as:

__4____ * ___3____ *  ____2____ * ___1______ = 24

1st letter     2nd letter      3rd letter       4th letter

Because for the 1st letter of the code, we have 4 options, letter A, B, C and D.

Then for the 2nd letter, we only have 3 options because we can not choose the letter that we choose in the 1st letter.

So, the 3rd letter just have 2 options and finally, there is just one option for the 4th letter.

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Explain relationship between x # 2 and the factor x - 2.
nekit [7.7K]

Answer:

x#2 and x-2 is the same

Step-by-step explanation:

3 0
3 years ago
Some steps in solving an equation are more efficient than others. Complete parts (a) though (d) to determine the most efficient
Vinil7 [7]

Answer:

The solution of the given equation   x =11

Step-by-step explanation:

Given equation 34 - 5x = -21

<u>Step :-(a)</u>

               Given equation 34 - 5x = -21

                              Subtracting '34' on both sides , we get

                                         34 - 5x -34 = -21 -34

<u>Step:-(b)</u>

                             on simplification , we get

                                          -5x = -55

<u>Step:-(c)   </u>

                           Dividing ' -5' on both sides , we get

                                             \frac{-5x}{-5} =\frac{-55}{-5}

                        Cancellation '-5' on both sides , we get

                                               x = 11

<u>Step :-(d)</u>

                   The solution of the given equation   x =11

5 0
3 years ago
A sample of customers from Barnsboro National Bank shows an average account balance of $315 with a standard deviation of $87.A s
cestrela7 [59]

Answer:

A) Barnsboro Bank has more variation.

Step-by-step explanation:

Coefficient of Variation:

The coefficient of variation is given by the division of the standard deviation by the mean.

In this question:

The account balance with the highest coefficient of variation has more variation.

Barnsboro National Bank shows an average account balance of $315 with a standard deviation of $87.

So

cv = \frac{87}{315} = 0.2762

Wellington Savings and Loan shows an average account balance of $8350 with a standard deviation of $1800.

So

cv = \frac{1800}{8350} = 0.2156

Barnsboro Bank has the higher cv, so more variation, and the answer is given by option A.

8 0
3 years ago
The width of a rectangle is 7 inches less than its length. The area of the rectangle is 120 square inches. Solve for the dimensi
liubo4ka [24]
Length: 15
Width: 8

Hope I helped!

8 0
3 years ago
Mrs. King has a stack of papers to grade that contains 12 boy's papers and 8 girl's papers. What is the probability that the fir
igor_vitrenko [27]
Ok...let’s get started!
12 boys and 8 girls
That means that there are 20 kids!
12/20 is equal to 60%
There is a 60% chance that the first paper will be a boys
Please tell me if this is incorrect
7 0
3 years ago
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