Imagine you have five total nieces and nephews and their ages are 4, 10, 8, 9, and 5.4, 10, 8, 9, and 5. What is the average age of your nieces and nephews

Answer:

think about what is in between 4 and 4.5

you could put 4.4, 4.3, 4.25, 4.1 etc.

Answer:

16 km

Step-by-step explanation:

Given:

Distance from Washington to Stamford = distance from Washington to Salem + distance from Salem to Stamford = 10.3 km + 11.9 km = 22.2 km

Distance from Washington to Oakdele = 6.2 km

Required: the difference between the distance from Washington to Stamford and from Washington to Oakdele

Solution:

Distance from Washington to Stamford = 22.2 km

Distance from Washington to Oakdele = 6.2 km

The difference = 22.2 km - 6.2 km = 16 km

Therefore, from Washington, it is 16 km farther to Stamford than to Oakdele.

Answer: A

Step-by-step explanation:

Volume= LxWxH so we get 20x28x24 as given.

Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.

13,440-10,500= 2,940 Cubic Inches

Option A

Answer:

Part A:  13440 cubic inches.

Part B: A - 2940 cubic inches.

Step-by-step explanation:

The volume of the box = 24x20x28 = 13440 cubic inches.

The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.

13440-10500 = 2940 cubic inches. The answer is A.

Answer:x=7,1

Step-by-step explanation:

Answer:

Angle 2

Step-by-step explanation:

Find S and find X.

Then find U.

The angle at X connected to S and U is the angle number.

Answer:

3/8

Step-by-step explanation:

Two triangles = one square

Since there are 4 squares, then there are 8 triangles

We see one triangle is shaded.

We also see one square is shaded, which means 2 triangles are shaded.

2 + 1 = 3 triangles shaded. Since there are a total of 8 triangles, then the fraction would be 3/8

The Sum of all 3 needs to equal 1

A. 1/9 + 1/2 + 1/3 = 17/18

B. 1/9 + 2/9 + 1/3 = 6/9 = 2/3

C. 1/6 + 3/9 + 1/3 = 3/18 + 6/18 + 6/18 = 15/18

D. 2/9 + 8/18 + 1/3 = 4/18 + 8/18 + 6/18 = 18/18 = 1

The answer is D

Answer:

x=130°

y=50°

z=130°

Step-by-step explanation:

__________

Answer:

x = 130°

y = 50°

z = 130°

Step-by-step explanation:

From the diagram, you can see that the angle given, 50° is a vertical angle to y. This means they are equal, so y = 50°.

Next, angle x, and the given 50° angle are supplementary since they form a straight line. Because of this, you get that:

50° + x = 180°

- and -

x = 130°

You can see that angle z is a vertical angle to angle x, so they are equal, which gives you z = x = 130°. --> z = 130°

Answer:

Answer: 180 highway miles at 36 mpg (5 gals); 217 city miles at 31 mpg (7 gals).

Step-by-step explanation:

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Answer:

9.95h + 5  ≤ 125

Step-by-step explanation:

let 'h' = number of hats

Answer:

its 3 and 16 just trust me

The least common multiple is divisible by both a and b. The two numbers below have a least common multiple of 48 is 3 and 16.

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

The two numbers below have a least common multiple of 48 are,

3 and 16 ⇒ 3×16=48

Hence, the two numbers below have a least common multiple of 48 is 3 and 16.

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\(\\ \sf\longmapsto 8\dfrac{1}{2}\div \left(4\dfrac{4}{5}-7\dfrac{7}{10}\right)\)

\(\\ \sf\longmapsto \dfrac{17}{2}\div \left(\dfrac{24}{5}-\dfrac{77}{10}\right)\)

\(\\ \sf\longmapsto \dfrac{17}{2}\div\left(\dfrac{48-77}{10}\right)\)

\(\\ \sf\longmapsto \dfrac{17}{2}\div \left(\dfrac{29}{10}\right)\)

\(\\ \sf\longmapsto \dfrac{17}{2}\times \dfrac{10}{29}\)

\(\\ \sf\longmapsto \dfrac{17(10)}{2(29)}\)

\(\\ \sf\longmapsto \dfrac{170}{58}\)

\(\\ \sf\longmapsto \dfrac{85}{29}\)

\(\\ \sf\longmapsto 2\dfrac{27}{29}\)

Answer:

Step-by-step explanation:

The positive difference is the result of subtraction of the smaller number from the greater number.

The positive difference of 4 4/5 and 7 7/10 is:

Now division:

The statistical technique known as analysis of variance, or ANOVA, divides observed variance data into distinct components for use in further testing.

A. To study the effect of one factor on the mean of a response variable

     The means of populations that are segmented by a single factor can be compared using the one-way analysis of variance. It's a technique for examining how one factor affects the mean of a response variable.

B. To study the effect of two factors on the mean of a response variable

   We can use a two-way ANOVA to compare the mean values of populations that have been categorized based on two factors. A technique for examining the effects of two variables on the means of a response variable is two-way ANOVA.

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Answer:

One Solution

Step-by-step explanation:

x + 3y = 3      

x - y = -3        

4y = 6           Subtract to solve by elimination.

y = \(\frac{3}{2}\)              Divide by 4.

x - \(\frac{3}{2}\)  = -3      Substitute \(\frac{3}{2}\) for y in the original equation.

x = -\(\frac{3}{2}\)            Add \(\frac{3}{2}\).

Answer:

See below

Step-by-step explanation:

Question 2:

A relation is a function if every different x-value has a y-value. Since this relation has two outputs for x = 4 (1 and 9), it is NOT a function.

Question 3:

Plug the three points listed (-1, 0, 1) into the function and get their outputs. This will be the range.

f(x) = 2x + 4

Plug in -1.

f(-1) = 2(-1) + 4

f(-1) = -2 + 4

f(-1) = 2

f(x) = 2x + 4

Plug in 0.

f(0) = 2(0) + 4

f(0) = 4

f(x) = 2x + 4

Plug in 1.

f(1) = 2(1) + 4

f(1) = 2 + 4

f(1) = 6

This makes the range {2, 4, 6}.

Answer:

should be c

Step-by-step explanation:

Answer:

B) is the answer I hope I could help

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

14.9x+1/3 (-12-27x)-33.2

Using PEDMAS;

First, let's open the parenthesis

14.9x - 4 - 9x - 33.2

Rearrange

14.9x - 9x -4 -33.2

5.9x - 37.2

But from the question x= -3

Substitute x=-3 in the above;

5.9(-3) - 37.2

-17.7 - 37.2

-54.9

The missing fourth vertex needed to create a rectangle is (25, 3) option D.

Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.

Here, the width of one side of the rectangle;

⇒ +3 - (-6) = 9 unit                (left side y-coordinates)

Similarly the length of the rectangle;

⇒ 25 - (-15) = 40 unit             (up-side x-coordinates)

Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)

So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:

⇒ (25, -6+9) = (25, 3)

⇒ (-15+40, 3) = (25, 3)

Therefore, the missing fourth vertex is (25, 3)

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Answer:

x = ±2

Step-by-step explanation:

log 7 (x^2 + 11) = log 7 15

We know that log a ( b) = log a(c)   means b =c

x^2 + 11 = 15

Subtract 11 from each side

x^2 = 15-11

x^2 =4

Take the square root of each side

sqrt(x^2) =±sqrt(4)

x = ±2

89.81% of 2.16 million is 1.94 million.

In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. After dividing a number by its whole, multiply it by 100 to determine its percentage. As a result, the percentage refers to a component per 100. The word "percent" denotes a percentage of 100.

To calculate a group's share of the total in terms of 100, use the percentage formula. Using this method, you may represent a number as a fraction of 100. You'll see that the approach below may be used to rapidly calculate each of the the percentages:

(Value/Total Value) x 100 = %

According to the question,

(x/100) 2.16 = 1.94

x = 1.94 (100)/ 2.16

x = 194/ 2.16

x = 89.81 %

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Answer:   x^2+4

Work Shown:

x = -2i

x^2 = (-2i)^2

x^2 = 4i^2

x^2 = 4(-1)

x^2 = -4

x^2+4 = 0

Side note: Since -2i is one root, this means 2i is the other conjugate root.

\(\text{For quadratic equations, if one root is complex, the other root will be its conjugate.}\\\\\text{So, the roots of the second degree polynomial are}~ \alpha = -2i ~~ \text{and}~~ \beta =2i \\\\\text{The equation is,}\\\\~~~~~~~x^2-(\alpha + \beta) x +\alpha \beta = 0\\ \\\implies x^2 -(-2i+2i)x +(2i)(-2i)=0\\\\\implies x^2 -0\cdot x -4i^2 =0\\ \\\implies x^2 -4(-1)=0\\\\\implies x^2 +4=0\)

26.

Step-by-step explanation:

To figure out the missing side of a right triangle, we will use the Pythagorean theorem. This is...

\(a^2+b^2=c^2\)

With this Pythagorean theorem, a and b will always be the legs and the c will always be the hypotenuse, no matter what. Now knowing this, we can plug the legs into the equation.

\(10^2+24^2=c^2\)

\(100+576=c^2\)

Add the legs together.

\(676=c^2\)

Now, since c is squared we will have to find the square root of 676.

\(\sqrt{676}\)

= 26

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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The intersection of vertical lines A and B is  3 and 4.

We are going to apply the sets theory here. In sets theory, the intersection of two elements means the values those elements have in common.

So given: A = {1, 2, 3, 4} and B = {3, 4, 5}

The intersection of A = {1, 2, 3, 4} and B = {3, 4, 5} is {3,4} since they both have 3 and 4 common.

Therefore, vertical lines A and B have intersection of 3 and 4.

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