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amid [387]
3 years ago
13

A computer password system requires 6 DIFFERENT letters (case sensitive) from the 26 alphabets. For example, AAAAAA and aaaaaa a

re two different passwords. Is this a PERMUTATION or a COMBINATION problem? How many passwords can be created?
Mathematics
1 answer:
Arlecino [84]3 years ago
3 0

Answer: 325

Step-by-step explanation:

Combination is a way to calculate the total outcomes of an event where order of the outcomes does not matter where as a Permutation is a way of arranging the elements of a set into a order or a sequence . Here order matters.

If we want to create password with 6 different letters then order matters.

Hence, we use permutations.

The number of passwords created is given by :-

^{26}P_6=\dfrac{26!}{2!(26-2)!}\\\\=\dfrac{26\times25\times24!}{2\times24!}=325

Hence, the number of passwords created = 325

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Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?
Alexxandr [17]

Answer:

a) Add 4 to both sides, and then divide by 2. The solution is x=12.

Step-by-step explanation:

Question:

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

a) Add 4 to both sides, and then divide by 2. The solution is x = 12.

b) Divide both sides by −4, and then subtract 2. The solution is x = −7.

c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.

d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.

Solution:

Given equation:

2x-4=20

We need to determine the steps in order to solve for x.

Solving for x.

Step 1: Adding 4 both sides.

2x-4+4=20+4

2x=24

Step 2: Dividing both sides by 2.

\frac{2x}{2}=\frac{24}{2}

∴ x=12

Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12

7 0
3 years ago
Evaluate he expression for x=4​
hoa [83]

Answer:

41

Step-by-step explanation:

Step 1:

12x - 7          Equation

Step 2:

12 ( 4 ) - 7       Input x value

Step 3:

48 - 7       Multiply

Answer:

41        Subtract

Hope This Helps :)

8 0
3 years ago
Read 2 more answers
Solve the equation 2/3-4x+7/2=-9x+5/6
VMariaS [17]

Answer:

<u>For this equation the value of x is - 2/3</u>

Step-by-step explanation:

1. Resolving the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

<u>x = -4/6 = - 2/3 (Simplifying)</u>

2. Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

41 = 41

<u>It means the value of -2/3 for x is correct</u>

Note: Same answer than 13866851

4 0
3 years ago
Which set of ordered pairs below is a function?
Paha777 [63]
The answer is A.

Ordered pairs that equate to a function would not have two separate points with the same x-value. In other words, every x-value must be associated with only one y-value.
5 0
3 years ago
A ball of radius 13 has a round hole of radius 9 drilled through its center.
GREYUIT [131]

Answer:

Step-by-step explanation:

Given

radius of sphere R=13\ units

Hole is drilled with radius r=9\ units

Now this drilled hole will be in the form of Cylinder with height equals to diameter of sphere thus

Volume of drilled hole is

V_d=\pi \cdot r^2\cdot h

V_d=\pi \cdot (9)^2\cdot 26

V_d=2106\pi

Volume of Sphere

V_s=\frac{4}{3}\pi R^3

V_s=\frac{4}{3}\pi (13)^3

V_s=2929.33\pi

Remaining volume V_{remaining}=2929.33\pi -2106\pi =823.33\pi

V_{remaining}=2586.90\ units^3

7 0
3 years ago
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