The table shows the number of hours that a group of friends been in the first week training to run a marathon. In the second week they each add five hours to their training times what are the mean median mode and range of times for the second week

Jeff - 9

Mark - 5

Karen - 5 Costas - 5

Brett - 7

Nikki - 6

Jack - 7

A. Mean is 10

Median is 11 Mode is 11. 3

Range is 4

B. Mean is 11 Median is 11. 3 Mode is 10

Range is 0. 3

C

Mean is 11. 3

Median is 11 Mode is 10

Range is 4

D

Mean is 11. 3

Median is 11 Mode is 10

Range is 0. 3

Please help this is a test question

Answer:

\( \sqrt{265} \: is \: ur \: answer \: \)

I HOPE IT WILL HELP YOU.

Thank you.

^ - ^

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

Learn more about inscribed angle theorems on:

https://brainly.com/question/30494878

The new function after reflected across the x-axis and shifts up 2 units is g(x)= -5x³+5.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(x)=5x³-3.

When a function f(x) is reflected over the x-axis, it becomes a new function g(x)= -f(x).

The given function reflected across the x-axis and shifts up 2 units.

Now, g(x)= -(5x³-3)+2

= -5x³+3+2

= -5x³+5

Therefore, the new function after reflected across the x-axis and shifts up 2 units is g(x)= -5x³+5.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

Therefore, the approximation of \((2.997)^{2.01}\) is approximately equal to the value obtained from the equation of the tangent plane.

To find the equation of the tangent plane of the function \(z = x^y\) at the point (3, 2, 9), we need to determine the partial derivatives with respect to x and y and use them to form the equation of the plane.

Taking the partial derivative of \(z = x^y\) with respect to x:

∂z/∂x \(= yx^{(y-1)}\)

Taking the partial derivative of \(z = x^y\) with respect to y:

∂z/∂y \(= x^y * ln(x)\)

Evaluating these partial derivatives at the point (3, 2):

∂z/∂x \(= 2 * 3^{(2-1)}\)

= 6

∂z/∂y \(= 3^2 * ln(3)\)

= 9ln(3)

The equation of the tangent plane can be written as:

z - z0 = ∂z/∂x * (x - x0) + ∂z/∂y * (y - y0)

Plugging in the values, we have:

z - 9 = 6(x - 3) + 9ln(3)(y - 2)

Simplifying the equation:

z = 6x - 18 + 9ln(3)y - 18ln(3) + 9

Now, to approximate using the tangent plane equation, we substitute x = 2.997 and y = 2.01 into the equation:

z ≈ 6(2.997) - 18 + 9ln(3)(2.01) - 18ln(3) + 9

Calculating the approximation:

z ≈ 17.982 - 18 + 9ln(3)(2.01) - 18ln(3) + 9

To know more about tangent plane,

https://brainly.com/question/30891045

#SPJ11

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

Learn more about Kristine from

https://brainly.com/question/27244350

#SPJ11

Answer:

A. 12+2p

G. p+p+12

Step-by-step explanation:

The Eagles basketball team scored 12 more than 2 times as many points in the last game of the season than in the first game

Number of points scored in the last game of the season = 2p + 12

A. 12+2p

Equivalent

B. 2+p+12

= P + 14

Not equivalent

C. 2+12p

Not equivalent

D. p(2+12)

= 2p + 12p

Not equivalent

E. p+2+12

= P + 14

Not equivalent

F. 12p+2p

Not equivalent

G. p+p+12

= 2p + 12

Equivalent

The pattern in y = x² exhibits a nonlinear increase in y as x increases, forming a U-shaped curve, while the pattern in y = 15 + x shows a linear increase in y as x increases at a constant rate.

The patterns in the equations y = x² and y = 15 + x differ in terms of the direction of change. In the equation y = x², the pattern shows an increase in y as x increases.

As x increases from negative to positive values, the corresponding y values also increase, forming a symmetric U-shaped curve. The rate of increase for y becomes steeper as x moves further away from zero.

On the other hand, in the equation y = 15 + x, the pattern shows a linear increase in y as x increases. As x increases, the corresponding y values increase in a straight line.

The rate of increase for y remains constant at one unit per increase in x. This linear pattern reflects a constant upward shift of the graph as x increases.

For such more questions on Nonlinear:

https://brainly.com/question/30294608

#SPJ11

Answer:

Step-by-step explanation:

Can you please specify on that question

Answer:

Integers are numbers that include the negatives, zero and positives.

Step-by-step explanation:

If you ever get confused there's a big circle chart to help you remember look for it online!! What I use to remember is visualizing a number line!

First is the real numbers, so the numbers we were taught since we were little like 1, 2 ,3, 4, 5, 6 and so on. So that's the first part of the number line.

Next is the whole numbers so you just add a zero to that number line. Whole numbers is just all of the real numbers + the number zero.

Then it's the integers so you add the left side of that number line. Integers are real numbers, whole numbers, and negatives. So basically on the number line it's the negatives , zero, and the positives.

Last it's the radicals so all parts of a number like fractions and decimals. So you can add .5 in between the numbers of that numberline.

I hope this strategy helped and if it didn't here's that circle chart!!

I really hope this did help tho!!

So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

To know more about graph,

https://brainly.com/question/29467965

#SPJ11

The Linear equation with x intercept of (3,0) and a y intercept of (0,-4)  is 4x-3y = 12 .

in the question ,

it id given that

the linear equation has x intercept as (3,0) ,

which means the line will cut the x - axis at the coordinate, x=3 .

and also given that

the linear equation has y intercept as (0,-4) ,

which means the line will cut the y axis at the coordinate, y = -4  .

So the linear equation will be x/3 + y/(-4) = 1

On taking LCM as 12 and solving further , we get

4x-3y = 12

and the graph is drawn below .

Therefore , The Linear equation with x intercept of (3,0) and a y intercept of (0,-4)  is 4x-3y = 12 .

Learn more about Intercept here

https://brainly.com/question/13276344

#SPJ1

Answer:

true

Step-by-step explanation:

a rhombus always has opposing parallel sides, qualifying it as a parallelogram

Answer:

true

Step-by-step explanation:

all rhombuses have opposite sides equal and parallel and opposite angles are congruent

Answer:

7x-20

Step-by-step explanation:

distribute the 5 to the x and 4 and you get 5x - 20+2x then you add 5x and 2x and get 7x-20. not sure if im right though

The reasons and statements that completes the two-column table method used to prove that triangle ΔRVX is congruent to ΔTWU (ΔRVX ≅ ΔTWU) are as follows;

Statement                                   \({}\)         Reason

12. UW = VX                   \({}\)                   Transitive Property of Equality

13. ΔRVX ≅ ΔTWU \({}\)                           SSS

Two triangles are congruent if the lengths of the three sides of one triangle are the same as the lengths of the three sides of the other triangle.

The details and reasons for the statements used to prove the congruency of the ΔRVX and ΔTWU are as follows;

RV = RS + SV; Additive property of length

The additive property of length states that a point B can be located on a segment AC only if, we get; AC = AB + BC

RV = ST + SW Substitution

The substitution property states that if a = b then a can substitute b in equations and expressions, such that the values of the expressions and equations remain the same.

RV = TW Transitive Property of Equality

The transitive property of equality states that if a = b and b = c, then a = c

ΔRVX ≅ ΔTWU SSS

The SSS (Side-Side-Side) congruency postulate states that two triangles are congruent if the lengths of all three sides of one triangle are congruent to the lengths of the sides of the other triangle.

Learn more about the conditions for the congruency of triangles here:

https://brainly.com/question/3079413

#SPJ1

The given information is as follows:A random sample of 150 teachers in an​ inner-city school district found that​ 72% of them had volunteered time to a local charitable cause within the past 12 months.

The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150

The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037

To know more about values visit:

https://brainly.com/question/30145972

#SPJ11

The expression (1.5 x 10¹⁰) ÷ (5 x 10³) in scientific notation is 3 * 10⁶

From the question, we have the following quotient expression that can be used in our computation:

(1.5x10^10)÷(5x10^3)

Rewrite properly

So, we have

(1.5 x 10¹⁰) ÷ (5 x 10³)

Divide 1.5 and 5 by 1

So, we have the following representation

(0.3 x 10¹⁰) ÷ (10³)

Divide 10¹⁰ by 10³

So, we have

0.3 x 10⁷

Rewrite as

3 * 10⁶

Hence, the solution is 3 * 10⁶

Read more about scientific notation at

https://brainly.com/question/27862246

#SPJ1

Answer:

1:4

Step-by-step explanation:

6:24 to 1:n

to get 6 to 1, divide 6 by 6 (= 1)

Do the same of dividing 24 by 6 (6 acts as the multiplier in this)

24 / 6 = 4

1:4

Answer:

1/144

Step-by-step explanation:

1/(2⁴ * 3²)

1/(16*9)

1/144

Answer:

1 & 3, 2 & 4, 5 & 7, and 6 & 8 are vertically opposite angles

4 & 8, 3 & 7, 1 & 5, and 2 & 6 are corresponding angles

4 & 6 and 3 & 5 are alternate angles

1 & 2, 2 & 3, 3 & 4, 1 & 4, 5 & 6, 6 & 7, 7 & 8, and 5 & 8 are supplementary angles

Answer:

3$

Step-by-step explanation:

If the chicken was 4 times the amount of potatoes you would have to divide 12 by 4 to get you answer which would be 3$

12/4 = 3

potato's = 3$

to check you answer you would do 3 times 4 and if it gives you the cost of chicken (12) then it is correct.

Answer: $3

Step-by-step explanation:

If the chicken is 4 times as much, you can divide the cost of the chicken, which is $12. So, 12 divided by 4 is 3. The potatoes cost 3 dollars.

Chance is a term used to represent the percentage of time a specific result is expected to occur when the same basic procedure is repeated over and over again, where each repetition is independent.

Chance is a term that is used to describe the probability that a certain outcome will occur given a set of fundamental instructions repeated again with each repetition being independent.

Ultimately, this means the number of times a result of an event occurs when repeated over a number of times is chance.

Read more on chance:

https://brainly.com/question/30820369

#SPJ1

Answer:

x  minus four

Step-by-step explanation:

Answer: 135

Step-by-step explanation:

it increased by 20%

so the 162 is 120% of the first price

so if we multiply 162 by 100/120 we will get the first price

100/120=5/6 and 5/6*162 is 135

The equation of the line that passes through (4, 4) & parallel to y = 3x + 4 is y = 3x - 8 .

Slope intercept form:

The equation of line in slope intercept form is,

            y = mx + c

Where m is slope of line and c is y-intercept.

Equation of line given that,

             y = 3x + 4

So that, slope of line is 3.

We have to find the equation of the line that passes through (4,4) and is parallel to given lines.

Since, slope of all parallel lines are same.

Equation of required line is,

              y = mx + c

Substitute point (4,4) in above line.

               4 = 12 + c

               c = 4 - 12

               c = -8

So that, equation of line become,

               y = 3x - 8 .

Learn more about the equation of line here:

brainly.com/question/18831322

#SPJ4

Answer:

I can help with one complex root.

Step-by-step explanation:

I know that one of the complex roots would be 4x^4

Step-by-step explanation:

First, Join OB and OC.

∠BOC = 2∠BAC

(∵ angle subtended by an arc at the centre = double the angle subtended by it at any point on the remaining part of the circle)

=> ∠BOC = 2 x 30°...(∵ ∠BAC = 30°, Given)

=> ∠BOC = 60°

In, ΔOBC, OB = OC...(radii of same circle)

∴ ∠OCB = ∠OBC...(∠s opp. equal sides of a triangle are equal)

As the sum of angles of a traingle is 180°,

∠OBC + ∠OCB + ∠BOC = 180°

∠OBC + ∠OBC + 60° = 180°...(∵∠BOC = 60°,proved above)

2∠OBC = 120° => ∠OBC = 60°

Thus, we have ΔABC such that,

∠BOC = ∠OBC = ∠OCB = 60°

ΔOBC is an equilateral triangle

BC = OB i.e. BC is equal to the radius of circle.

Answer:23.4$

Step-by-step explanation:

Answer:

A square has 4 sides of equal length, so if you have been given the length, this is also the breadth.

Therefore, the perimeter is 4 x side length.

For example, imagine a square with side length 3 cm.  As all four side lengths are equal, the perimeter would be 4 x 3 cm = 12 cm