A jelly bean factory packaged 913 special ordered bags last Tuesday. The shift manager randomly picked seven bags to count the number of jelly beans.
8, 6, 11, 15, 6, 11, 6

If the sample was representative of all the bags packaged on Tuesday, what was the mode of the number of jelly beans of all the bags?
A. 6
B. 15
C. 8
D. 11

Answer:

4.4mm

Step-by-step explanation:

If 8.8mm is WX and you want WY simply divide the number by 2.

8.8/2 = 4.4mm

Answer:

\(here \: given \: that \: wy = xy \\ xy + wy = 8.8 \\ 2xy = 8.8 \\ xy = 4.4 \\ thank \: you\)

Answer:

Step-by-step explanation:

Assuming that 23 is the first term

4823

25th term of arithmetic sequence is 4,823

Given arithmetic sequence:

23, 223, 423, 623,...

Find:

25th term of arithmetic sequence

Computation:

First term a = 23

Common difference d = A2 - A1

Common difference d = 223 - 23

Common difference d = 200

Number of term n = 25

So,

An = a + (n - 1)d

A25 = 23 + (25 - 1)(200)

A25 = 23 + (24)(200)

A25 = 23 + 4,800

A25 = 4,823

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Answer: 1: Given

2: Distribution

3: Subtraction

4: subtraction

5:division

Step-by-step explanation:

Answer:

x = 40

Step-by-step explanation:

We have to find,

→ the value of x in the equation.

The equation is,

→ (x/2) + 3 = 23

Now the value of x will be,

→ (x/2) + 3 = 23

→ x/2 = 23 - 3

→ x/2 = 20

→ x = 20 × 2

→ [ x = 40 ]

Hence, the value of x is 40.

Based on the scatter plot given below, we can say that statement C is correct. the given scatter plot shows a positive association.

A scatter plot is the graph that shows relationship between two variables. The independent variable is plotted on x axis and dependent variable on y axis.

Statement A is false. the point (18,2) does not lie on the scatter plot, let alone be an outliner.

Statement B is false as well. The scatter plot shows a quadratic association forming shape of a half parabola.

Statement C is correct. There is a positive association in X and Y. The scatter points are going in upward direction, i.e., as x increases, y increases.

Statement D is false. There is an association between the two variables plotted, as clearly the points are clustered and not scattered.

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Answer:

2.5 minutes per quesiton

Step-by-step explanation:

75 minutes to take 30 quesitons means you divide the time equally so

75/30

Answer:

• \(x\) = 42°

• \(y\) = 74°  

• \(z\) = 114°

Step-by-step explanation:

To solve these problems, we have to use the triangle sum theorem, which states that "the sum of all the interior angles of a triangle is 180°".

A)

\(x\) + 90° + 48° = 180°

⇒ \(x\)  + 138° = 180°

⇒ \(x\) + 138° - 138° = 180° - 138°      [Subtracting 138° from both sides]

⇒ \(x\) = 42°

B)

The triangle in this question is an isosceles triangle, therefore the two angles at the base of the triangle are equal and have measures of \(y\).

\(y\) + \(y\) + 32° = 180°

⇒ 2\(y\) + 32° = 180°

⇒ 2\(y\) = 180° - 32°

⇒ 2\(y\) = 148°

⇒ \(\frac{2}{2} y\) = \(\frac{148^{\circ}}{2}\)             [Dividing both sides by 2]

⇒ \(y\) = 74°                    

C)

\(z\) + 28° + 38° = 180°

⇒ \(z\) + 66 = 180°

⇒ \(z\)  = 180° - 66°

⇒ \(z\) = 114°

Answer:

2nd option

Step-by-step explanation:

f(x) + g(x)

= 4x - 5 + 3x + 7 ← collect like terms

= 7x + 2

domain is all real numbers

Answer:

The answer is -5 + (-3).

Step-by-step explanation:

Answer:

-5 is the original position

The swimmer descends 3 meters, so we subtract 3 or add -3. Thus, the answer is:

-5 + (-3)

Answer:

1) x=3, y=-3

Step-by-step explanation:

10x + 7y = 9 —— (1)

-4x -7y = 9 —— (2)

(1) + (2)

6x = 18

x = 18/6

x = 3

put x=3 in (1)

10(3) + 7y = 9

30 + 7y = 9

7y = 9 - 30

7y = -21

y = -21/7

y = -3

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The maximum number of edges in a directed graph without any self-loops, having a total 6 of vertices is 15.

Edge:

In geometry, an edge is a particular type of line segment that connects two vertices of a polygon, polyhedron, or higher-dimensional polyhedron. In polygons, edges are line segments of the boundary and are often called polygon sides. In a polyhedron, or more generally a polytope, an edge is a line segment where two faces (or sides of a polyhedron) meet. A line segment connecting two vertices and passing inside or outside is called a diagonal, not an edge.

Directed graph:

A directed graph is a graph. A series of objects (called nodes or knots) connected together with all edges pointing from one node to another. A directed graph is sometimes called a directed graph or directed network. In contrast, graphs whose edges are bidirectional are called undirected graphs.

The graph containing maximum number of edge in a n node undirected graph without self loop is complete graph.

The number of edges in complete graph with n node, kₙ is

n(n − 1)/ 2

Now, based on the above formula:

   n( n -1) /2

= 6( 6 - 1)/2

= 5× 6/2 = 30/2 = 15

Therefore, The maximum number of edges in a directed graph without any self-loops, having a total 6 of vertices is 15.

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Answer:

70 represents the # of pencils

(4*15) = represents the amount of pencils she gives away

the expression is a difference of 3 terms.

Term 1: 70

Term 2: -(the negative sign)

Term 3: (4*15)

Step-by-step explanation:

There are 2 rearrangements of abcd in which no two adjacent letters are also adjacent letters in the alphabet.

What is letter arrangements?

A sorting technique that allows the person to arrange alphabets as conditioned according to the question. Then total arrangements are calculated to know the result.

According to the given question:

Using XXXX as stencil for letters arrangement

We can't put B in either of the middle positions, as there would only be the far end at which to put both A and C and we can't put two things in one slot. That is, XBXX would require A and C to both be in the red X in order to avoid putting them next to B...can't do that, so B can't go in the middle.

Similarly, we can't put C in either of the middle positions, as there would only be the far end at which to put both B and D and we can't put two things in one slot.

So, B and C must go on the ends.

BXXC can only be filled in as BDAC.

CXXB can only be filled in as CADB.

Hence there are 2 such arrangements.

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Answer:

A. 85°

Step-by-step explanation:

By interior angle sum theorem of a triangle.

x = 180° - ( 40° + 55°)

x = 180° - 95°

x = 85°

Answer:

A. 85

Step-by-step explanation:

Youd do 40+55 and that equals 95 and then since a triangle qdds up to 180 degrees, 180-95=85

Answer:

Step-by-step explanation:

3x^2 * 2x^3= 6x^5

Multiply the 3 and 2 to get 6. Add the exponents.

According to the statement of the question, the width of the larger box equals 2 times the width of the box shown, then the width of the larger box equals 10 cm (2×5), the rest of the dimensions of the box remain the same.

We have to calculate how much cereal can fit in the larger box, that is the internal volume of the box (the space inside the box where we can fit the cereal), the volume of a box is given by the following formula:

In this case, w equals 10 cm, l equals 30 cm and h equals 40 cm, then we get:

Then, we can fit 12000 cubic centimeters of cereal inside the larger box

Answer:

$519.79

Step-by-step explanation:

The formula is:

\(PV = P (\frac{1 - ( 1 + r ) ^{-n}}{r})\)

\((100+x)\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }(1+\frac{0.04}{4})^{40}\)  \(+100\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }=50000\)

\((100+x)(\frac{(1+0.01)^{40} -1}{0.01}) (1+0.01)^{40}\) \(+(100)(\frac{(1+0.01)^{40} -1}{0.01} )=50000\)

(100+x) [(1.488864 - 1) / 0.01] (1.488864) + (100) [(1.488864 - 1) / 0.01] = 50000

(100+x) [(0.488864 / 0.01)] (1.488864) + (100) (0.488864 / 0.01) = 50000

(100+x) (48.8864) (1.488864) + (100) (48.8864) = 50000

(100+x) (48.886373) (1.488864) + 4888.64 = 50000

(100+x) (72.785161) + 4888.64 = 50000

7278.5161 + 72.785161 x + 4888.64 = 50000

12167.1561  + 72.785161 x  = 50000

72.785161 x  = 50000 - 12167.1561  

72.785161 x  = 37832.8439

x = 37832.8439 / 72.785161

x = 519.787871

x = $519.79

Answer:

.5 more kilometres.

Step-by-step explanation:

3600 m = 3.6 km. 4.1 is .5 greater than 3.6

f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

Katie will pay $1.10 for shipping and handling.

The cost of shipping refers to the amount of money that is charged for the transportation of goods or products from one location to another.

To calculate how much Katie will pay for shipping and handling, we first need to find 10% of $11.

To do this, we multiply $11 by 0.10 (which is the decimal equivalent of 10%).

$11 x 0.10 = $1.10

Therefore, Katie will pay $1.10 for shipping and handling on top of the $11 she paid for the set of spoons.

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Answer:

the x equals 14

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

\(f'(x) =\frac{1}{2\sqrt{x-3}}\)

By MVT, there exist a number c on [4, 12] such that

\(f'(c) = \frac{f(12)-f(4)}{12-4}\)

\(f(12) = 3, and, f(4) = 1, hence f'(c) = \frac{1}{4}\)

therefore,

\(\frac{1}{2\sqrt{x-3}} = \frac{1}{4}\)

Solve this equation, you have x =1.

However, this is out of the given interval. Hence does not exist

Answer:

Step-by-step explanation:

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The correct answers are: 10/8 and\((3/2)^{1/3}\) * \(5^{1/3}\) / 2

What is polynomials?

Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.

we can look for expressions that have the same value as \(750^{(1/3)}\)/\(512^{(1/3)}\) . Some possible choices are:

10/8

\(125^{(1/3)}\) / \(64^{(1/3)}\)

\((3/2)^{1/3}\) *\(5^{(1/3)}\) / 2

To check if these expressions are equivalent to the original expression, we can simplify them using the same property as before:

10/8 = \((10/8)^{(1/3)}\) = 125/\(512^{(1/3)}\)

\(125^{(1/3)}\) / \(64^{(1/3)}\)= \((125/64)^{1/3}\) = \((5/4)^{1/3}\) * \((5/4)^{1/3}\) = \((5/4)^{2/3}\)

\((3/2)^{1/3}\) * \(5^{1/3}\) / 2 = \((3/2)^{1/3}\) * \((125/125)^{1/3}\) / 2 = \((3/2)^{1/3}\) * \((125/8)^{1/3}\)

\(750^{(1/3)}\) / \(512^{(1/3)}\) = \((3/2)^{1/3}\)*\((125/8)^{1/3}\), which is equivalent to \((3/2)^{1/3}\)* \(5^{(1/3)}\) / 2

Therefore, the correct answers are: 10/8 and \((3/2)^{1/3}\) * \(5^{1/3}\) / 2

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Answer:

2/5

Step-by-step explanation:

We can represent the probability that the spinner lands on purple as:

\(\dfrac{\# \text{ purple spins}}{\#\text{ total spins}}\)

\(=\dfrac{80}{40 + 80 + 80}\)

\(= \dfrac{80}{200}\)

\(\boxed{=\dfrac{2}{5}}\)

So, the probability of this spinner landing on purple is 2/5.

Answer:

70000

Step-by-step explanation: