Maria was given this absolute value graph and needs to come up with the equation, domain, range and intercepts.
function is y = |x|..and from her knowledge with translations she knows that it has translated horizontally to the right 4 units.
So she says the new equation must be y = |x+4|. The domain is all values of x. The range is all values of y greater u
to zero. The y-intercept is (0,4). There isn't an x intercept, because it just sits at (4,0). can you find any errors in her solution?

The average speed in mile per hour is  5.455  miles per hour    .

In the question ,

it is given that ,

the 1 mile distance is covered in 11 minutes ,

So , in 1 minute the distance covered is = 1/11 miles

So , the speed in miles per minute is 1/11 miles per minute .

To convert speed in miles per minute to miles per hour ,

we multiply it by 60 ,

So , we get ,

Average Speed in miles per hour  is = 60 * (1/11)

= 60/11

= 5.45454

≈ 5.455

Therefore , the average speed is 5.455  miles per hour .

The given question is incomplete , the complete question is

What is your average speed in mile per hour and in feet per second if you travel a mile in 11 minute ?

Learn more about Speed here

https://brainly.com/question/29246591

#SPJ4

Answer:

0.692

Step-by-step explanation:

Given: The computer that controls a bank's automatic teller machine crashes a mean of 0.5 times per day.

Mean per day = 0.5

Mean per 7 day = 7*0.5 = 3.5

X = Number of times the computer will crash

We have to find:

P( the computer will crash more than 1 time in any seven-day week) =?

P(x >1) = ?

P(X > 1) =1- P(X < or = 1)

P(X < or = 1) = 0.320847

P(X < or = 1) = 0.3208

P(x > 1) = 0.6792

So, the answer is 0.6792

Answer: thus, 65% of the books were fictional.

Step-by-step explanation:

Answer: 0.0015813253

Step-by-step explanation:

is you ment to say 14,280 divided by 21 then it would be 632.380952381

A triangle can be formed with side lengths 4, 8, 11. Yes, because 4 + 8 > 11

According to the Triangle Inequality Theorem, the largest side cannot be greater than the sum of the other two sides. The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the remaining side.

If the sum of any two sides is greater than the sum of the third, then the difference of any two sides is less than the sum of the third. The sum of any two sides must be greater than the sum of the third. The longest side in a triangle is the side opposite a larger angle.

Learn more about triangles on:

https://brainly.com/question/17335144

#SPJ1

The zero of the polynomial 3x² - 8x + 5 is 1

The correct answer option is option C.

3x² - 8x + 5

check all options:

When x = 0

3x² - 8x + 5

substitute x = 0 into the equation

3(0)² - 8(0) + 5

3(0) - 0 + 5

0 - 0 + 5

= 5

When x = -1

3x² - 8x + 5

3(-1)² - 8(-1) + 5

3(1) + 8 + 5

3 + 8 +5

= 16

When x = 1

3x² - 8x + 5

3(1)² - 8(1) + 5

3(1) - 8 + 5

3 - 8 + 5

= 0

Consequently, 1 is the zero of the given Polynomial.

Read more on Polynomial:

https://brainly.com/question/4142886

#SPJ1

(a) Within groups degrees of freedom is 16.

(b) Total degrees of freedom is 3.24.

(c) Among group mean square is 70.8.

Given data is as shown in the following table,

           P1      P2       P3         P4          P1*P1          P2*P2         P3*P3        P4*P4

           12       2        10           7            144                4              100             49

           14       4         9            6            196              16               81               36

           9        7         6            6              81               49              36              36

           11        3         10         15            121                9               100            225

           16       1          12         12            256              1                144             144

Total:  62      17        47         46           798              79              461             490

Package sum (S):- 62 + 17 + 47 + 46 = 172

correlation factor (CF) =  [tex]\frac{S^{2} }{N} = \frac{172^{2} }{20}[/tex]=  1479.2

Raw sum of squares (RSS) = 798 + 79 + 461 + 490 = 1828

Total sum of squares (TSS) = RSS - CF = 1828 - 1479.2 = 348.8

Sum of squares due to treatments (SST),

[tex]\frac{62^{2} }{5} + \frac{17^{2} }{5} + \frac{47^{2} }{5} + \frac{46^{2} }{5} - CF[/tex] = 212.4

Sum of squares due to errors (SSE) = TSS - SST = 348.8 - 212.4 = 136.4

degrees of freedom (df) between the groups = k = 4 - 1 = 3

degree of freedom within the groups = N - k = 20 - 4 = 16

Now we will find mean squares(MS),

MS(between) = [tex]\frac{SS(between)}{df(between)}[/tex]

MS(within) = [tex]\frac{SS(within)}{df(within)}[/tex]

F = [tex]\frac{MS(between)}{df(within)}[/tex]

Source of variation     SS         df            MS             F

Between groups         212.4      3            70.8           8.304

Within groups              136.4     16           8.525

Total                             348.8    19

Critical value of F at (3,16) degrees of freedom is 3.24.

Since the calculated value of F is greater than the critical value of F,we have sufficient evidence to reject the null hypothesis and conclude that there is a significant difference in the mean number of passengers bump every week by the four passengers.

To know more about mean square here

https://brainly.com/question/29584983

#SPJ4

The graph of the function square root of the square root of x + 2 in the given domain is given by the image shown at the end of the answer.

The function for this problem is defined as follows:

f(x) = √√x+2

The double square root means that in reality, we have the fourth root of the function, hence the function is then defined as follows:

f(x) = fourth root(x + 2).

The fourth root function is defined for values of x for which the inner term is zero and greater, hence:

x + 2 >= 0

x >= -2.

Then the graph is made over a domain that goes until x = 7, and is given by the image presented at the end of the answer.

(the domain is chosen because it is the domain given by the problem).

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

The company's cost of preferred stock is 9.08%, which means the correct answer is B) 9.08%. The cost of a service may be determined by the amount of time and expertise required to provide it. In general, cost is an important factor in determining the feasibility and profitability of a project or business venture.

Cost refers to the amount of money that is required to purchase or produce something. For example, the cost of a product may be determined by the amount of materials and labor that went into producing it, as well as any other expenses associated with bringing it to market.

To calculate the company's cost of preferred stock, we need to use the following formula:

Cost of preferred stock = annual dividend / price per share - flotation cost

In this case, the annual dividend is $8.50, the price per share is $97.50, and the flotation cost is 4.00% of the price paid by investors. Plugging these values into the formula, we get:

Cost of preferred stock = $8.50 / $97.50 - 4.00% = $8.50 / $97.50 * (1 - 0.04) = $8.50 / $93.80 = 0.0908

Therefore, the company's cost of preferred stock is 9.08%, which means the correct answer is B) 9.08%.

Learn more about the cost, here https://brainly.com/question/15135554

#SPJ4

The distance on the map where the scale is 1 inch to 40 miles is 1.75 inches.

First we know that the cities are at 2.8 inches apart on a map whose scale is 1 inch to 25 miles, then the real distance between the two cities is:

D = (2.8)*25mi = 70 mi

Now we move to a map where each inch is 40 miles, to find the distance in inches, we can take the quotient between the real distance and the scale, it gives:

d = (70mi/40mi) inches

d = 1.75 inches

The distance on the other map is 1.75 inches.

Learn more about map scales:

https://brainly.com/question/1271386

#SPJ1

The distance on the map where the scale is 1 inch to 40 miles is 1.75 inches.

First we know that the cities are at 2.8 inches apart on a map whose scale is 1 inch to 25 miles, then the real distance between the two cities is:

D = (2.8)*25mi = 70 mi

Now we move to a map where each inch is 40 miles, to find the distance in inches, we can take the quotient between the real distance and the scale, it gives:

D = (70mi/40mi) inches

D = 1.75 inches

Therefore, distance on the other map is 1.75 inches. Learn more about map scales:

brainly.com/question/1271386#SPJ1

Two or more figures are said to be similar when they have common properties. The value of MP is 18 units.

More than one figure are said to be similar if they have some relatable common properties, either considering their length of sides or measure of their internal angles. But similarity is not the same as congruence.

In the given question, it can be deduced that ΔMNP is similar to ΔQRP. Thus, relating the corresponding sides of the two triangles we have;

[tex]\frac{12}{30}[/tex] = [tex]\frac{5x-2}{11x+1}[/tex]

cross multiply to have

30(5x-2) = 12(11x+1)

150x - 60 = 132x + 12

collect like terms

150x - 132x = 12 + 60

18x = 72

x = 4

So that,

MP = 5x - 2

      = 5(4) - 2

      = 20 -2

MP = 18 units

Learn more about properties of similar triangles at https://brainly.com/question/11920446

#SPJ1

The area of the pyramid = 340 sq. inches

The area of a square pyramid= b^2+ 2.b.s

                                                  = 10^2 + 2*10*12

                                                  = 340 sq. inches

We can also find out the are by finding area of each sides

Area of square = 10*10 = 100 sq. inches

Area of triangle= 1/2( 12*10)

                           = 60

Area of four triangles = 4*60

                                    = 240

Total surface area = 240+100

                                = 340 sq. inches

Hence the total surface area is 340 sq. inches

For further understanding please refer the following answer

https://www.mometrix.com/academy/volume-and-surface-area-of-a-pyramid/

Answer:

Let's call the length of the long piece x, and the length of each shorter piece y. We can set up the following equation to represent the problem:

x + 2y = 29

Since the long piece is 1 ft longer than twice the length of each shorter piece, we can write this equation as:

x = 2y + 1

Substituting this expression for x in the first equation, we get:

2y + 1 + 2y = 29

Combining like terms on both sides, we get:

4y + 1 = 29

Subtracting 1 from both sides, we get:

4y = 28

Dividing both sides by 4, we get:

y = 7

Substituting this value for y in the expression for x, we get:

x = 2(7) + 1 = 14 + 1 = 15

Thus, the length of the long piece is 15 ft, and the length of each shorter piece is 7 ft.

The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

Given that,

In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.

We have to calculate the 95% confidence range for the difference between the two proportions.

We know that,

The 95% confidence interval for difference between two population proportions is given as follows :

[tex]((\bar p_{1} -\bar p_{2})[/tex]±[tex]Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })[/tex]

Here,

p₁ is 0.78

p₂ is 0.68

n₁ is 100

n₂ is 100

Z is 1.96

P is 0.73

Q is 0.27

So,

((0.78-0.68)±[tex]1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })[/tex]

(0.10±0.122)

(0.10-0.122,0.10+0.122)

(-0.022,0.222)

Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

To learn more about interval visit: https://brainly.com/question/10850002

#SPJ4

The possible variable terms for the given expression are a⁸, a⁵b³, a³b⁵, a⁷b, and b⁸.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression is (2a+4b)⁸.

The expansion is

(2a+4b)⁸=256a⁸+4096a⁷b+2867a⁶b²+114688a⁵b³+286720a⁴b⁴+458752a³b⁵+458752a²b⁶+262144ab⁷+65536b⁸

Hence, in the expansion of (2a+4b)⁸ the possible variable terms are a⁸, a⁵b³, a³b⁵, a⁷b, and b⁸.

Learn more about expression here:

brainly.com/question/13947055

#SPJ1

The First Derivative Test for Local Extrema is the name of the procedure when it is used to find the values of the local maximum or minimum function.

The second derivative may be used to determine the local extrema of a function under certain conditions.

A function is said to have a local (relative) extremum at a critical point if the derivative of the function changes sign near that location. At the critical point, the function has a local (relative) maximum if the derivative switches from being positive (growing function) to negative (decreasing function). The function, however, has a local (relative) minimum at the critical point if the derivative switches from negative (decreasing function) to positive (growing function). The First Derivative Test for Local Extrema is the name of the procedure when it is used to find the values of the local maximum or minimum function.

Under certain circumstances, one can utilize the second derivative to identify the local extrema of a function. A function has a local minimum at this point if it has a critical point when f′(x) = 0 and the second derivative is positive. However, if the function contains a critical point at which the second derivative is negative and f′(x) = 0, then f has a local maximum at this location. The Second Derivative Test for Local Extrema is the name of this method.

To know more about derivative tests visit: brainly.com/question/29064109

#SPJ4

Answer:

the answer is B

Step-by-step explanation:

The probability that either a or b occurs is 0.7.

Given :

event  a has a probability of 0.5 , and event b has a probability of 0.4. if a and b are independent events.

P ( a ) = 0.5

P ( b ) = 0.4

we know that,

P ( a or b ) = P ( a ) + P ( b ) - P ( a and b )

if a and b are both independent

P ( a and b ) = P ( a ) * P ( b )

substitute we get

P ( a or b ) = 0.5 + 0.4 - 0.5 * 0.4

= 0.9 - 0.2

= 0.7

Learn more about the probability here:

https://brainly.com/question/11234923

#SPJ4

The mean of the squared deviations

What is Squared deviations?

The sum of all scores' squared deviations from the mean is lower than the sum of all scores' squared deviations from any other number. The least squares concept governs this.

What is Mean ?

The average of a group of values is referred to as the mean. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

The term "mean square" refers to the sample variance in the analysis of variance (ANOVA) table, which calculates the mean squared deviation.

The average of the deviations' squared

To learn more Squared deviations visit:

brainly.com/question/29189240

#SPJ4

find formula for growth of city

y intercept of 300,000 because the function starts here

the slope is 1.08 because it grows by 8 percent each year

population at x year = 300,000(1.08)^x

you can better understand why the x is in the exponent by this example

in one year, it grows 8 percent

300,000 * 1.08 = 324,000

the next year, that previous year grows 8 percent

324,000 * 1.08 = 349,920

300,000 * 1.08 * 1.08 =349,920

300,000 * 1.08^2 = 349,920

in 2 years it grows to that

just do it to the 14th power now

300,000 * 1.08^14 = 881,158

hope this helps :)

if you got any questions just comment

The probability that at least one of them lives more than 87 minutes is 0.87.

Probability

In statistics, the possible way of happening a particular event is called probability.

Given,

Suppose that an experimenter studies the lifespan of members of a colony of bacteria. let t be the lifespan of a randomly chosen member of the colony. suppose the lifespan of the bacteria has an exponential distribution with expected value 100 minutes.

Here we need to find if we choose 5 members of the colony, then what is the probability that at least one of them lives more than 87 minutes.

Here we know that,

Total number of members = 5

Life span = 87 minutes

Expected value = 100 minutes

So, the probability is calculated as,

=> 87 /100

=> 0.87

To know more about Probability here.

https://brainly.com/question/11234923

#SPJ4

Answer:

20

Step-by-step explanation:

h=hypotenuse. s1=side 1. s2=side 2

h^2 = (s1)^2 + (s2)^2  ==> hypotenuse formula

h^2 = 12^2 + 16^2  => plug in known values

h^2 = 144 + 256  

h^2 = 400  ==> simplify

[tex]\sqrt{h^2 = 400}[/tex]  ==> take the square root on both sides to remove the power

[tex]\sqrt{h^2}[/tex] = [tex]\sqrt{400}[/tex]

h = 20

To learn more about hypotenuse, click here:

https://brainly.com/question/11356906

At x = 0 and x = 2, the curve defined by y² = x³ - 3x² has a horizontal tangent.

We have,

First, let's find the derivative of y with respect to x.

We can rewrite the equation as:

y² = x³ - 3x²

y = (x³ - 3x²)^(1/2)

Now, differentiating y with respect to x using the chain rule:

dy/dx = (1/2) * (x³ - 3x²)^(-1/2) * (3x² - 6x)

Next, we set the derivative equal to 0 to find the values of x where the curve has a horizontal tangent:

(1/2) * (x³ - 3x²)^(-1/2) * (3x² - 6x) = 0

We can disregard the constant factor of (1/2) since it doesn't affect the solution.

Thus, we have:

(x³ - 3x²)^(-1/2) * (3x² - 6x) = 0

To have a horizontal tangent, the slope of the curve should be 0, which means the derivative is equal to 0.

Now, we have two factors to consider:

(x³ - 3x²)^(-1/2) = 0, which means the expression inside the parentheses is equal to 0. However, this does not yield a real solution.

(3x² - 6x) = 0, which means the quadratic term equals 0.

Solving this quadratic equation:

3x² - 6x = 0

3x(x - 2) = 0

This equation has two solutions: x = 0 and x = 2.

Therefore,

At x = 0 and x = 2, the curve defined by y² = x³ - 3x² has a horizontal tangent.

Learn more about derivatives here:

https://brainly.com/question/29020856

#SPJ4

Answer:

x=- 5

Step-by-step explanation:

A vertical  line has an undefined slope (the rise is divided by zero, since there is no change in x.  x is always -5.

The required equation of the vertical line will be x = -5 which passes through the points (-5,-2).

The equation of a vertical line is of the form x = k, where k is the x-coordinate of the point through which the line passes.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

We know that a vertical line's equation is x = k, where k is the x-coordinate of the point at which the line crosses.

As per the given question, the line passes through the point (-5, -2), so the equation of the line is x = -5.

A vertical line has an undefined slope (since there is no change in x, the rise is divided by zero). x is always a negative five number.

Therefore, the required equation of the vertical line will be x = -5.

Learn more about the equations here:

brainly.com/question/10413253

#SPJ2

the number is 40.

In mathematics, the system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables. In this article, you will get the definition of the system of linear equations, different methods of solving these systems of linear equations and solved examples.

If the tens digit of the number is X and the ones digit is Y then the number is equal to 10*X + Y

If you reverse the digits then the number is equal to 10*Y + X

If reversing the digits decreases the number by 36 then

10*Y + X = 10*X + Y - 36

The sum of the digits is 4 so X + Y = 4  ==>  X = 4 - Y

Substitute this value of X into the 1st equation

10*Y + (4 - Y) = 10*(4 - Y) + Y - 36

9*Y + 4 = 40 - 9*Y - 36

18*Y = 0

Y = 0

So X = 4 - 0 = 4 and the number is 40

Check:  40 - 04 = 36

To learn more about SYSTEM OF LINEAR EQUATIONS visit: brainly.com/question/19549073

#SPJ4

The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

Step-by-step explanation:

Graph crosses the x-axis at x = 0 and has zeros at {-5, -5}.Step-by-step explanation: Note that f(x) factors as follows:  f(x) = 4x^5 (x^2 + 10x + 25) …

(D) ASA is not a similarity criterion for two triangles.

If two triangles fit one of the following descriptions, they are similar: Angles in two pairs that are corresponding are equal.

The ratio of three sets of corresponding sides is three.

The comparable angles between two pairs of corresponding sides are equal and proportional.

You can use three triangle-specific theorems to quickly distinguish similar triangles.

There are three theorems that can be used to determine whether two triangles are similar: Angle - Angle (AA), Side - Angle - Side (SAS), and Side - Side - Side (SSS).

The triangles' potential similarity criteria are Angle-Angle-Angle (AAA), Side-Angle-Side (SAS), and Side-Side-Side (SSS).

Angle-side-angle (ASA) is thus a choice from the available possibilities to check the congruence of the triangle rather than its similarity.

Therefore, (D) ASA is not a similarity criterion for two triangles.

Know more about the similarity criterion for two triangles here:

https://brainly.com/question/26115688

#SPJ4

Correct question:
Which of the following is not a similarity criterion for two triangles

(A) ASA

(B) SAS

(C) SSS

(D) ASA?

Using the area of the rectangle, we know that the length of the given rectangle is x + 9.

The area is described as the amount of space occupied by a flat (2-D) surface or shape of an object.

Take a marker pen and attract a square on a bit of paper. It is a 2-D figure.

The space the shape occupies on the article is called its Area. Consider your square as being composed of smaller unit squares.

So, we have the area of the rectangle as:

A(x)=2x^2+18x

Area formula: Area = length * width

So, the length of the rectangle will be:

Area = length * width

2x^2+18x = length * 2x

Length = (2x^2 + 18x) / 2x

With the help of long division:

2x√2x² + 18x

Length = x + 9

Therefore, using the area of the rectangle, we know that the length of the given rectangle is x + 9.

Know more about the area here:

https://brainly.com/question/25292087

#SPJ4

Correct question:
The area of the rectangle is given by the polynomial function A(x)=2x^2+18x. If the width of the rectangle is 2x what is the length?