Encryption Matrices are commonly used to encrypt data. Here is a simple form such an encryption can take. First, we represent each letter in the alphabet by a number, so let us take < space > = 0, A = 1, B = 2, and so on. Thus, for example, "ABORT MISSION" becomes [1 2 15 18 20 0 13 9 19 19 9 15 14]. To encrypt this coded phrase, we use an invertible matrix of any size with integer entries. For instance, let us take A to be the 2 × 2 matrix 3 4 1 2 . We can first arrange the coded sequence of numbers in the form of a matrix with two rows (using zero in the last place if we have an odd number of characters) and then multiply on the left by A. Encrypted Matrix = 3 4 1 2 1 15 20 13 19 9 14 2 18 0 9 19 15 0 = 11 117 60 75 133 87 42 5 51 20 31 57 39 14 , which we can also write as [11 5 117 51 60 20 75 31 133 57 87 39 42 14]. To decipher the encoded message, multiply the encrypted matrix by A−1. The following exercise uses the above matrix A for encoding and decoding. Use the matrix A to encode the phrase "GO TO PLAN B".

Answer:

Test score of 75.7.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The results are normally distributed with a mean test score of 60 and a standard deviation of 8.

This means that [tex]\mu = 60, \sigma = 8[/tex]

Calculate the test score above which 2.5% of all test scores lie.

Above the 100 - 2.5 = 97.5th percentile, which is the value of X when Z has a pvalue of 0.975, so X when Z = 1.96.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.96 = \frac{X - 60}{8}[/tex]

[tex]X - 60 = 8*1.96[/tex]

[tex]X = 75.7[/tex]

Test score of 75.7.

Answer:

153.86 in^3

Step-by-step explanation:

Given data

A circular placemat has 44 inches of braid around the edge

hence the circumference of the placemat is 44 in

C= 2πr

44= 2*3.14r

r= 44/2*3.14

r= 44/6.28

r= 7.00 in

Area= πr^2

Area= 3.14*7^2

Area= 3.14*49

Area= 153.86 in^3

Hence the area is 153.86 in^3

Answer:

That’s easy it is 282

Step-by-step explanation:

He will now have 282 bucks altogether.

Step-by-step explanation:

We already know that he has 237 bucks before his birthday, but now he has an additional 45 bucks that he got from his birthday. With this, you can create an equation that looks like this: 237+45. You then solve the equation by adding 45 to 237, which gets you 282 bucks altogether.

Answer:

35/16

Explanation:

(5*7)/2^4

= 35/2^4

= 35/16

Note:

Please mark as brainliest! <3

Answer:

2.68 hours

Step-by-step explanation:

Last one.

Hope this helps.

Answer:

x =45

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

3x+45 = 180

Subtract 45 from each side

3x+45-45 =180-45

3x= 135

Divide by 3

3x/3 = 145/3

x =45

Answer:

6x²+27x+24

3(2x²-9x+8)

Answer:

1/3?

Step-by-step explanation:

Answer:

5 hours and 13 minutes

Step-by-step explanation:

Hope this helps!! Please mark brainlliest.

Answer:

[tex] x = \frac{a - c}{b}[/tex]

Step-by-step explanation:

[tex]a = bx + c \\ \\ a - c = bx \\ \\ \orange{ \bold{x = \frac{a - c}{b}}} [/tex]

Answer:

9754 and 5794

Step-by-step explanation:

Answer:

Largest - 9,754

Smallest - 4,579

Step-by-step explanation:

2x + 3 - 4 = 5x - 7

=> 2x + 3 - 4 + 7 = 5x

=> 3 - 4 + 7 = 5x - 2x

=> 3 - 4 + 7 = 3x

=> -1 + 7 = 3x

=> 6 = 3x

=> 6/3 = x

=> 2 = x

Step-by-step explanation:

Answer:

32.13

Step-by-step explanation:

g = 15.3 x 2.1 = 32.13

Answer:

g= 15.3 *2.1= 32.13

Hence answer is 32.13

Answer:

1/3

Step-by-step explanation:

Answer:

A.) b=2

Step-by-step explanation:

10b ≤ 59

Divide both sides by 10.

b ≤ 5.9

Any number that is 5.9 or less than 5.9 is a solution.

The only such number in the choices is 2.

Answer: A.) b=2

Answer:

Answer: $118.50 per day

Step-by-step explanation:

1,000-348.25= 651.75

651.75÷5.5= 118.50

Answer:

A

Accurate. Each pair of sides corresponds with a common ratio of 2.

Step-by-step explanation:

edge 2021

Each pair of sides corresponds with a common ratio of 2. The correct option is A.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

If two figures have three sides similar then they will be similar by side-by-side property which is written as SSS.

Given that Triangle R U V. Side V R is 4 centimetres, R U is 1.5 centimetres, and V U is 2.7 centimetres. Triangle R S T. Side R S is 3.0 centimetres, R T is 8.0 centimetres, and S T is 5.4 centimetres.

The two triangles have a common ratio of 2.

R U = 1.5 cm

R S = 3.0 cm

V R = 4 cm

R T = 8.0 cm

The correct option is A.

To know more about similarities follow

https://brainly.com/question/24184322

#SPJ6

Answer:

11/3

Step-by-step explanation:

x=1, R=39, y=?

R=6x + 9y

(substitute the parameters into the equation)

39=6(1) + 9y

39= 6 + 9y

(collect like terms)

39 - 6 =9y

33=9y

(divide both sides by 9)

33/9=9y/9

11/3=y

therefore, y= 11/3

Answer:

Step-by-step explanation:

Because calfornia is right next to Ocean

Answer:

y=6

Step-by-step explanation:

y=mx+b

y=2x+0

the y-intercept is at the origin so going off that when you go to put your line on a graph you come off with the points (0,0) (1,2) (2,4) and finally your answer (3,6)

Answer:

a = 6 and b = 36

Step-by-step explanation:

Set up equations:

b = 30 + a

b = 6a

Subtract the two equations:

b = 6a

- (b = 30 + a)

5a - 30 = 0

5a = 30

divide both sides by 5

a = 6

Plug a = 6 into the original equation:

b = 30 + 6

b = 36

you could also do:

b = 6 * 6

b = 36

Answer:

Step-by-step explanation:

Answer:

13.4

Step-by-step explanation:

1/3(3²) + 5.2(2) = 3 + 10.4

Answer:

10 2/3

Step-by-step explanation:

Multiply 4 and 2 and then multiply 2 and 4. If you do that then you get 8 8/3. You then just take the numerator and turn it into whole numbers to get 10 2/3.

Answer:

88

Step-by-step explanation:

Answer:

??????

Step-by-step explanation:

Answer:

2³ = 2 × 2 × 2 = 8.

3³ = 3 × 3 × 3 = 27.

4³ = 4 × 4 × 4 = 64.

5³ = 5 × 5 × 5 =125.

Step-by-step explanation:

Answer:

[tex]P=24\sqrt{x}[/tex] and [tex]A=36x[/tex]

Step-by-step explanation:

To find the perimeter of the triangle, you have to add all the sides of the triangle. So, we get:

[tex]P=8\sqrt{x} +7\sqrt{x} +9\sqrt{x}[/tex]

Combine like terms, meaning the numbers with [tex]\sqrt{x}[/tex]

[tex]P=24\sqrt{x}[/tex]

To find the area of the triangle, we will use the formula [tex]A=\frac{1}{2} bh[/tex], where b is the base and h is the height

The base is: [tex]9\sqrt{x}[/tex]

The height is: [tex]8\sqrt{x}[/tex]

Plug and chug:

[tex]A=\frac{1}{2} *9\sqrt{x} *8\sqrt{x}[/tex]

[tex]A=\frac{1}{2} *72x\\A=36x[/tex]

Step-by-step explanation:

Since f(x) is "2x + 1" and g(x) is "x2 - 7" then f(x) + g(x) [which is the same as (f + g)(x)] is "2x + 1" + "x2 - 7" which is 2x + 1 + x2 - 7 or x2 + 2x - 6

So (f + g)(x) = x2 + 2x - 6

is it right? i hope it is

Answer:

T = 67.5

V = 22.5

Step-by-step explanation:

The Sum of triangle angles = 180

180 = W + T + V

180 = 90 + 3X + X

X = 22.5

Answer:

106

Step-by-step explanation:

Composite function:

A composite function is represented by:

[tex](g \circ f)(x) = g(f(x))[/tex]

In this question:

[tex]f(x) = x - 8[/tex]

[tex]g(x) = x^2 + 6[/tex]

[tex](g \circ f)(x) = g(f(x)) = g(x-8) = (x-8)^2 + 6[/tex]

Find ( gof)(-2).

When x = -2. So

[tex](g \circ f)(-2) = (-2-8)^2 + 6 = (-10)^2 + 6 = 100 + 6 = 106[/tex]

The answer is 106.