holly and her 2 best friends go to dinner thier total bill is $31.84 they use a coupon for 15% of the total if they split the bill evenly how much money will each person owe to the nearest cent

Answer:

Step-by-step explanation:

A circle chart can be referred to as a pie chart. This is a chart that expresses each fraction of total data in degrees.

The set of data given is summed so as to determine the total value. Then each data in the set is expressed as a ration of the total value, which is multiplied by \(360^{o}\). This is to determine the degree of angles that represent each data in the data set. These angles in degrees can now be used to divide the sum of angles in a circle into wedges.

With each wedge in the circle showing the fractional relationship between each data and the total value in degrees.

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Given:

Hypotenuse = "x"

Angle =42.1

Find-: Value of "x"

Sol:

Use the formula:

Where,

So the hypotenuse is:

So the value of "x" is 2580.45

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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Answer:

y = x + 5

Step-by-step explanation:

Using the information provided we can create the following equation. Since every seed packet can grow 1 single flower we would need to multiply 1 by the number of seed packets (x), which simplified would be just x . Next we are told that Steve already has 5 flowers in his possession meaning we need to add this to the new flowers that he is growing to get the total number of flowers.

y = x + 5

The angle formed by the two hands have a measure less than 1/4 turn

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

A clock with the hour hand at 12 and the minute hand at 2

The turn represented by the above is represened as

Turn = (2 * 30)/360

When simplified, we have

Turn = 1/6

Next, we have

Angle at the turn = 1/4

1/6 is less than 1/4

This means that the angle formed by the two hands have a measure less than 1/4 turn

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Answer:

This is a function because only one amount of plant food remain each day.

Step-by-step explanation:

A function is a relation where every input has only one output.

A relations is a set of ordered pairs like:

(1,5) (2,4) (3,3) (4,2)

Your input is the days and your output is the amount of food.  Each day the food is going down.  Each day would have a unique amount of food.

Answer:

degrees of freedom = 15

tc= 1.746

Step-by-step explanation:

The degrees of freedom is given by n-1 where n is the sample size .

so the degrees of freedom for a t distribution is 16-1= 15

Now we have to find tc for 95%  confidence interval. For this we look at the t- table under the 1-0.95= 0.05  for alpha for 15 degrees of freedom and the value is 1.746

This area is to  the right side under the t distribution with the given degrees of freedom for the given alpha.

It can also be found out by other calculators such as graphing calculator.

Using the degree of freedom formula and the Tcritical distribution, the degree of freedom and Tcritical value are 15 and 2.131 respectively

Given that :

Hence, the degree of freedom, df = 16 - 1 = 15

The t critical value :

Tcritical = \(t_{\frac{0.05}{2}}, 15 = 2.131 \)

Hence, the Tcritical value is 2.131.

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The expression that models the number of people attending concert 1 is given as follows:

512/6.

The number of people attending concert 1 is obtained applying the proportions in the context of the problem.

From the bar model, the fractions corresponding to each concert are given as follows:

The total number of people is given as follows:

512.

Hence the expression that models the number of people attending concert 1 is given as follows:

512/6.

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Answer:

All positive real numbers i think

Answer:

B

Step-by-step explanation:

4^x can never be 0 or negative, the graph has a horizontal asymptote at y = 0

So the range only includes positive values

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:x=10.5

y=12.5

Step-by-step explanation:

d=17-y+2

d=x+3-17

d=38-x-3

35-x=x-14

x=10.5

z,17,27.5,38

z=17-10.5=6.5

19-y=6.5

y=12.5

Answer:

The causes of scarcity can be due to a number of different reasons, but there are four primary ones. Poor distribution of resources, personal perspective on resources, a rapid increase in demand, and a rapid decrease in supply are all potential scarcity causes.

Step-by-step explanation:

In economics, factors of production are the resources people use to produce goods and services; they are the building blocks of the economy. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship

The government decides the means of production and owns the industries that produce goods and services for the public. The government prices and produces goods and services that it thinks benefits the people. ... The government allocates its resources based on these objectives and is unchanged. If there is an increase in supply for goods and services while demand remains the same, prices tend to fall to a lower equilibrium price and a higher equilibrium quantity of goods and services.

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

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In order for a polygon to be considered a quadrilateral, it must have a total of four sides. The converse is also true: a quadrilateral is a kind of polygon that has four sides.

This is further explained below.

Generally, A quadrilateral is a kind of polygon in geometry that has four sides and four edges as well as four corners. The origin of this term may be traced back to the Latin words Quadri, which is a form of the number four, and latus, which means "side."

In conclusion, A polygon must have a total of four sides in order for it to be classified as a quadrilateral. The opposite is also true: a polygon is a kind of shape that has four sides if it is called a quadrilateral.

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Therefore, P(K|J) is equal to 1/5 in its simplest form.

What is fraction?

A fraction is a mathematical expression that represents a part of a whole. It is written in the form of one integer (the numerator) divided by another integer (the denominator), separated by a horizontal line. For example, the fraction 2/5 represents two parts out of a total of five parts.

The numerator represents the number of parts we are interested in, while the denominator represents the total number of equal parts that make up the whole. Fractions can be proper (the numerator is less than the denominator), improper (the numerator is greater than or equal to the denominator), or mixed (a whole number and a fraction together). Fractions are used in a wide range of mathematical operations, such as addition, subtraction, multiplication, and division.

by the question.

We can use the formula P(B/A) = P(B∩A)/P(A) to calculate P(KJ), where A is the event that J occurs, and B is the event that K and J occur.

First, we need to find P(K|J∩N). We can use the formula P(JNK) = P(KJ∩N)/P(J) to find this value.

\(P(K|J∩N) = P(JNK) * P(J) = (1/5) * (3/7) = 3/35\)

Next, we need to find P(J) = 3/7.

Finally, we can use the formula P(K|J) = P(K|J∩N)/P(J) to find P(KJ):

\(P(K|J) = P(KJ∩N)/P(J) = (3/35) / (3/7) = (3/35) * (7/3) = 1/5\)

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With a triangle, the sum of any two side lengths must be greater than the third side length. If this is not true, then the side lengths cannot make a triangle. Let's go through each set of side lengths and determine which would and wouldn't work.

a. 3, 4, 8 - will not make a triangle

3 + 4 = 7 > 8 = false

3 + 8 = 11 > 4 = true

4 + 8 = 12 > 3 = true

b. 7, 6, 12 - will make a triangle

7 + 6 = 13 > 12 = true

7 + 12 = 19 > 6 = true

6 + 12 = 18 > 7 = true

c. 5, 11, 13 - will make a triangle

5 + 11 = 16 > 13 = true

5 + 13 = 18 > 11 = true

11 + 13 = 24 > 5 = true

d. 4, 6, 12 - will not make a triangle

4 + 6 = 10 > 12 = false

4 + 12 = 16 > 6 = true

6 + 12 = 18 > 4 = true

e. 4, 6, 10 - will not make a triangle

4 + 6 = 10 > 10 = false

4 + 10 = 14 > 6 = true

6 + 10 = 16 > 4 = true

Hope this helps!

The charge density that must be glued to the surface of an insulating, cubical box  is\(σ = dq / dA = Q / a^2\)

Gauss's law can be applied to determine the charge density on the box's surface. According to Gauss's law, the charge enclosed by a closed surface determines how much electric flux passes through it.

Take into account a box-centred spherical Gaussian surface with radius r. By virtue of symmetry, the electric field must be radial and have a constant strength over the entire sphere. The flux through the sphere is therefore given by:

\(Φ = E(r) * 4πr^2\)

where E(r) is the electric field's strength at radius r.

The point charge Q in the box's centre is now equal to the charge contained within the sphere. So, according to Gauss's law:

\(Φ = Q / ε0\)

When the permittivity is 0

where 0 represents the free space permittivity.

The electric field outside the box should be the same as the electric field created by a point charge Q in the middle of the box. In order to ensure that the flux through any spherical surface outside the box is equal, we must choose the charge density on the box's surface.

Take into account a tiny element with surface area dA on the box's surface. The electric field caused by this element of charge at point P outside the box can be expressed as:

\(dE = (1 / 4πε0) * dq / r^2\)

where r is the distance between the element and point P and dq is the charge on the tiny surface-area element.

We integrate across all the minor components of the surface area of the box to determine the total electric field at point P caused by the entire surface of the box:

\(E = dE = (1 / 4.0)*dq / r2\)

Now, we want this electric field to match the electric field caused by point charge Q in the box's centre, which is determined by:

\(E' = Q / (4πε0r^2)\)

As a result, we have:

\(E = E': (1 / 4 0) * dq / r2 = Q / (4 0 r2)\)

To solve for dq, we obtain:

\((Q / a2)*dA = dq\)

therefore, the charge density on the box's surface is given by:

\(σ = dq / dA = Q / a^2\)

To produce the same electric field outside the box as that caused by a point charge Q at the centre of the box, we must glue a uniform charge density of Q / a2 on the box's surface.

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When a plane intersects a cone to form a parabola, the plane slices through a double cone and is neither parallel nor perpendicular to the base of the cone. The Option D is correct.

When a plane intersects a double cone, the resulting curve can be a parabola, an ellipse, or a hyperbola depending on the angle and position of the plane. If the plane is not parallel or perpendicular to the base of the cone, the resulting curve will be a parabola.

This is because the intersection of the plane with the cone will be a curve that is equidistant from a fixed point (the focus) and a fixed line (the directrix), which is a defining characteristic of a parabola.

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Answer:

x=11.34

Step-by-step explanation:

Answer:

\(9.5x+6.5y\geq $800\)

Step-by-step explanation:

9.5 in value of adult tickets. 6.5 is value of children's tickets. combined selling of all of them should be greater than or equal to 800 ("atleast" in the question shows it can be more but cannot be less)

Answer:

\(23y(2 + 4) = 23y(6) = 138y\)

The matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.

When we add two matrices, we add the equivalent elements, that is, the elements at the same position in each matrix, hence for the addition of matrices they should have the same dimensions.

The matrices are given by:

3a: 3[5 2]' = [15 6].

b = [7 1;5 0].

With the ; indicating a new line, hence they have different dimensions(A 2 x 1 and B 2 x 2), so the matrix 3A + B cannot be defined.

Therefore, the matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.

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The amount of money that each person would get for the three days of work is $92.

The first step is to add all the money earned on the three days together. Addition is the process of determining the sum of two or more values.

Total amount earned in the 3 days = amount earned on the first day + amount earned on the second day + amount earned on the third day

= $93 + $75 +$108  =$276

The next step is to divide the total amount of money earned in the three days by the total number of people that would share the money. Division is the process of determining the quotient of a number.

The amount of money gotten by each person = total earnings / total number of people

$276 / 3 = $92

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Answer:

4y-12

Step-by-step explanation:

According to the information, the relationship between the two areas is 72in.

To find the area of the trapezoid we must perform the following mathematical operation:

So we need to replace the values:

Once we find the area of the trapezoid we can modify its shape to make a parallelogram. In this case, we must have both bases of the same length, so we must add 6cm to the base that is 36in. In this case, to find the area of the parallelogram we must perform the following formula:

Finally, to find the difference of areas we must subtract the area of the trapezoid from the area of the parallelogram.

Note: This question is incomplete. Here is the complete information:

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Answer:

Step-by-step explanation:

A