The number of computer security breaches is expected to increase at a yearly rate of 86%.
Use the exponential growth model to determine the equivalent monthly rate.

Enter the rate, to the nearest tenth of a percent, in the box.

___ %

The probability of the next flip result in a trail is 0.5.

Given that,

If you flip a coin 100 times and receive 80 heads and 20 tails.

We have to find what is the probability that the upcoming flip will result in a tail based on these findings.

Probability refers to potential. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events.

Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty.

One is the probability of every event in a sample space.

Next flip result is independent of the past results.

P(Next flip result is tail) = 1/2 = 0.5

Therefore, The probability of the next flip result in a trail is 0.5.

To learn more about probability visit: https://brainly.com/question/11234923

#SPJ13

If one leg is of length 5 inches then the lengths of the hypotenuse can be 2.113 inches or 4.5315 inches.

According to the question,

We have the following information:

A right triangle contains a 25° angle and length of one leg is 5 inches.

Now, the leg for which length is given can be opposite to given angle or adjacent to given angle. So, there are two possible for the length of hypotenuse (H).

Now, when it is opposite to the given angle:

Sin 25 = 5/H

H = Sin 25*5

H = 0.4226*5

H = 2.113 inches

Now, when it is adjacent to the given angle:

Cos 25 = 5/H

H = Cos 25*5

H = 0.9063*5

H = 4.5315 inches

Hence, if one leg is of length 5 inches then the lengths of the hypotenuse can be 2.113 inches or 4.5315 inches.

To know more about hypotenuse here

https://brainly.com/question/24107292

#SPJ1

An artist connects stained glass pieces with lead strips and cut the strips so that FH = 22 in and JG = 11 in.

What is a rectangle?

A plane shape, as opposed to a square, with four straight sides and four right angles, particularly one with uneven neighboring sides.

Here, we have

FH ≅ GH

FH = EG = 22in

If diagonals bisect each other then, an artist connects stained glass pieces with lead strips

1/2(EG) = JG

1/2 (22) = JG

11 = JG

Hence, an artist connects stained glass pieces with lead strips and cut the strips so that FH = 22 in and JG = 11 in.  

To learn more about the rectangle from the given link

https://brainly.com/question/25292087

#SPJ1

The value for the number of red lights that Alice encounters are found.

X = no of red lights crossed by Alice.

X is Binomial distributed

In which  n=4, p=0.5, q = 0.5

Mean value is found by the formula,

Mean = np

Mean = 4×0.5

Mean = 2

And, variance = npq

Var = np(1-p)

Var = 4×0.5×0.5

Var = 1

PMF = ⁿCˣ0.5ˣ × 0.5 ⁽⁴⁻ˣ⁾

Thus, the value for  pmf, the mean, and the variance of the number of red lights that Alice encounters are found.

To know more about the independent events, here

https://brainly.com/question/14106549

#SPJ4

Answer:

[19+7] / [2 x 6 + 1]

Step-by-step explanation:

[19+7] / [2 x 6 + 1]

[26] / [13]

[2]

The angle that is same side exterior angle to ∠ABC is ∠EFH.

When parallel line are cut by a transversal line, angle relationships are formed such as corresponding angles, vertically opposite angles, alternate angles, same interior angles, etc.

AD and EG are parallel to each other.

CH is a transversal line to the parallel lines.

Therefore, let's find the angle that has the same relationship as same side exterior angles as angle ABC.

Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles.

Same side exterior angles are supplementary.

Therefore,

∠ABC and ∠EFH are same side exterior angles.

learn more on angles here: https://brainly.com/question/24755745

#SPJ1

The factors of the number 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100. If you add them up, you will get the total of 217

The value of p that is statistically significant at a 5% level of significance refers to a p-value of 0.05 or less.

The fixed probability of incorrectly eliminating the null hypothesis when it is actually true is what is meant by the term "level of significance." The probability of type I error is defined as the degree of significance, which is decided by the researcher using the results of the error. The statistical significance is measured by the level of significance. It specifies whether or not the null hypothesis is thought to be true. The null hypothesis is anticipated to be shown as untrue or rejected if the result is statistically significant.

The symbol indicates the degree of significance (alpha). Therefore, the following definition applies to the level of significance:

Level of Significance = p (type I error) =

For more information on statistical significance kindly visit on

https://brainly.com/question/28694813

#SPJ4

Answer:

(- 8, 0 )

Step-by-step explanation:

under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

(0, - 8 ) → (- 8, 0 )

The correct number of Standard deviation to generate a confidence interval is therefore 1.65.

Given that;

This shows that the percentage in a normal distribution that is at most 1.65 standard deviation above average is about 95%.

Percentage above 1.65 SD equals 100 - 95 = 5.

Now, because of the symmetric distribution,

Percentage above 1.65 SD = % below 1.65 SD is what we can see:

Below 1.65 SD + between 1.65 SD below and 1.65 above + above 1.65 SD + % above 1.65 SD = 100%

=> 5% + between -1.65 SD below and 1.65 above + 5% = 100%

=> % between -1.65 SD and 1.65 SD above mean = (100 - 5 - 5)% = 90%

The correct number of SDs to generate a confidence interval is therefore 1.65.

To learn more about percentage click here:

brainly.com/question/14695543

#SPJ4

The length of the road in the simplest radial form is 10[tex]\sqrt{29}[/tex].

Here a rectangle of dimensions is 20m by 50m. So the length of 50m and the breadth is 20m

As the road is diagonal of the rectangle.

So we have to find the length of the diagonal of the rectangle.

Formula to find the diagonal of rectangle:

Diagonal = [tex]\sqrt{l^{2} + b^{2} }[/tex]

length (l) = 50m

Breadth(b) = 20m

Diagonal = [tex]\sqrt{50^{2} + 20^{2} }[/tex]

               = [tex]\sqrt{2500 + 400}[/tex]

               = √2900

              = 10√29

Therefore the length of the road is 10√29.

To know more about the rectangle refer to the link given below:

https://brainly.com/question/2607596

#SPJ4

Both the pairs of the points are linear.

Here i made the plot for the points and both the pairs of the points shows that the it follows a straight path which means it will be linear i nature.

To know more about linear. https://brainly.com/question/2541253

#SPJ1

The solution to the inequality 6 + t ≤ 13 is given as follows:

t ≤ 7.

An inequality is solved similarly to an equality, isolating the variable of which the solution we want to find.

The difference, of the inequality compared to an equality, is that the solution contains an infinity number of values, instead of a finite number of values. This is because the solution of an inequality is composed by a range of values in one of the infinity number sets.

For this problem, the inequality is given as follows:

6 + t ≤ 13

Hence the solution for variable t is found isolating it as follows:

t ≤ 13 - 6 (moving every term that is not the variable to the opposite side)

t ≤ 7.

A similar problem, also presenting the solution of an inequality, is given at https://brainly.com/question/29305959

#SPJ1

The equation of the absolute value function graph is: y = |x - 3| + 5.

The equation of the absolute value function can be written in the vertex form as y = a|x – h| + k, where:

From the given graph, we have the following:

(h, k) = (3, 5) [the vertex]

Substitute the values into the equation, y = a|x – h| + k:

y = a|x - 3| + 5

A point on the graph is (2, 6). To find the value of a, substitute (x, y) = (2, 6) into y = a|x - 3| + 5:

6 = a|2 - 3| + 5

6 = a|-1| + 5

6 = a + 5

6 - 5 = a

1 = a

a = 1

To write the equation of the graph, substitute a = 1 into y = a|x - 3| + 5:

y = 1|x - 3| + 5

y = |x - 3| + 5

Learn more about equation of absolute value function on:

https://brainly.com/question/25290500

#SPJ1

Answer: [tex]g(2n)=4n^2 -8n[/tex]

Step-by-step explanation:

Substituting [tex]2n[/tex] for [tex]x[/tex],

[tex]g(2n)=(2n)^2 -4(2n)\\\\g(2n)=4n^2 -8n[/tex]

Answer: 0.0099

Step-by-step explanation:

The final answer of the given quadratic equation is 2x - 3y + 7= 0.

What is the quadratic equation?

Any equation in algebra that can be written in standard form as where x is an unknown and a, b, and c denote known numbers, where a 0 is a quadratic equation.

We have,

                 2x = 3y - 7

Converting the given equation in the form of ax + by + c = 0, we get

                 2x - 3y + 7= 0

Hence, the final answer of the quadratic equation is 2x - 3y + 7= 0.

To learn more about the quadratic equation visit,

https://brainly.com/question/1214333

#SPJ13

Answer: 27/31 is the answer

Step-by-step explanation:

31/27 x 27/31 = 1 because 27/31 is the recprical

Answer:x = 31/27 = 1.148 

Step-by-step explanation:

Answer:

f(1) = -2

Step-by-step explanation:

f(1) = -(1) - 1

f(1) = -1 - 1

f(1) = -2

Answer:

Step-by-step explanation:

Isabella,  do you know how to do the "elementary row operations"?

Also, when did they begin teaching  linear algebra in H.S.  :DDD  nice work getting there.

Gauss Jordan, just mean get your matrix in RREF  (Reduced Row Echelon Form)

I suggest using Matlab to do this.  it's got the  "RREF(x)  function to do this exact thing.  

Your teacher probably wants you to do this by hand.  thou, huh.  :/  

here is my Matlab code and the answer

clc

close all

clear

format compact

A=[3 -4 2;0 -1 7]

mymatx=rref(A)

A =

    3    -4     2

    0    -1     7

mymatx =

   1.0000         0   -8.6667

        0    1.0000   -7.0000

Yes, maybe it's totally cheating, but it seems fair nowadays to use technology that is commonly available.    :)

So answer A) looks right

The blanks are -2 and 0.5 respectively, by solving the expression (8 - 2x) *(-0.25x)

What does the term Algebraic Expression means?

In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.

Solution:

Given the expression, we need to solve it by using the properties of basic multiplication.

= (8 - 2x)*(-0.25x)

= (8*(-0.25x)) + (-2x * (-0.25x))

= -2x + 0.5[tex]x^{2}[/tex]

To learn more about Algebraic Expression from the given link

https://brainly.com/question/22399890

#SPJ9

The subtraction between the functions f(x) = 4 · x - 8 and g(x) = - 3 · x + 1 is equal to (f - g) (x) = 7 · x - 9.

Herein we find f(x) and g(x) defined as linear functions and we are asked to find the subtraction between two functions, which is defined below:

(f - g)(x) = f(x) - g(x)

If we know that f(x) = 4 · x - 8 and g(x) = - 3 · x + 1, then the result of the subtraction of the two functions is:

(f - g) (x) = f(x) - g(x)

(f - g) (x) = (4 · x - 8) - (- 3 · x + 1)

(f - g) (x) = 7 · x - 9

The subtraction between the two functions is (f - g) (x) = 7 · x - 9.

To learn more on additions and subtractions between functions: https://brainly.com/question/14630324

#SPJ1

Answer:

23 and 24

Step-by-step explanation:

let the 2 consecutive numbers be n and n + 1 , then

n² + (n + 1)² = 1105

n² + n² + 2n + 1 = 1105 ( subtract 1105 from both sides )

2n² + 2n - 1104 = 0 ( divide through by 2 )

n² + n - 552 = 0 ← in standard form

(n + 24)(n - 23) = 0 ← in factored form

equate each factor to zero and solve for n

n + 24 = 0 ⇒ n = - 24

n - 23 = 0 ⇒ n = 23

However, n > 0 , then n = 23 and n+ 1 = 23 + 1 = 24

the numbers are 23 and 24

Answer:

x-4<12 x<-4

-3x<12

-3x/-3=x

12/-3=-4

x-4+4=x

8+4=12

Based on the solution set S:{4}, the false equation is 3m + 7 = 14, because the solution of the equation is not 4

The first equation is

3t = 12

t = 12/3

t = 4

The solution is {4}

The second equation is

3m + 7 = 14

3m = 14 - 7

3m = 7

m = 7/3

The solution is not {4}

The third equation is

4(4c + 1) = 68

4c + 1 = 68/4

4c + 1 = 17

4c = 17-1

4c = 16

c = 16/4

c = 4

The solution is {4}

The fourth equation is

9 = 5p - 11

5p = 9 + 11

5p = 20

p = 20/5

p = 4

The solution is {4}

Hence, Based on the solution set S:{4}, the false equation is 3m + 7 = 14, because the solution of the equation is not 4

Learn more about equation here

brainly.com/question/14603559

#SPJ1

The distance from the Sun to Mars is 3. 9 times farther

Ratio can be described as a mathematical comparison between two or more numbers or elements in relation to each other on the basis of their sizes or magnitudes.

It is however known to show how many times one number or elements contains another.

Based on the information given, we have;

To determine the ratio of their distances from the Sun, we have;

Distance from the Sun to Mars /Distance from the Sun to Mercury

Substitute the values

2.28×10^8/5.79×10^7

Divide through

3. 9 times

Hence, the distance is 3. 9 times farther.

Learn more about ratio here:

https://brainly.com/question/2328454

#SPJ1

The transformation that occurs from the graph (y = x²) to the graph of [y = (x − 5)² + 7] is (D) a vertical shift up 7 units and a horizontal shift right 5.

So, the transformation from:

First, plot both graphs.

(Refer to the graph attached below)

Therefore, the transformation that occurs from the graph (y = x²) to the graph of [y = (x − 5)² + 7] is (D) a vertical shift up 7 units and a horizontal shift right 5.

Know more about graphs here:

https://brainly.com/question/28953186

#SPJ13