The table below shows the deliveries for Floral World for the week. What is the mean, or average, number of deliveries per day?

Answer: The point estimate of the proportion of resident who are against expanding the airport is 0.745.

Step-by-step explanation:

Since we have given that

A reporter determined that the true proportion of residents in a city who are against expanding the airport is likely in the interval (0.71, 0.78).

So, we need to find the point estimate of the proportion of residents who are against expanding the airport.

So, Point estimation of the proportion of resident would be

[tex]\dfrac{0.78+0.71}{2}\\\\=\dfrac{1.49}{2}\\\\=0.745[/tex]

Hence, the point estimate of the proportion of resident who are against expanding the airport is 0.745.

To serve 73 people at a party, 4 cakes are needed since each cake serves 24 people and it is not possible to have a fraction of a cake.

To determine how many cakes are needed for a party with 70 guests and 3 staff members, we need to calculate the total number of servings required and then divide this by the number of servings each cake provides.

First, we add the number of guests and staff to find the total number of people at the party:

Each cake serving is designed to serve 24 people. We divide the total number of people by the number of servings per cake to find out how many cakes are needed:

(Total number of people) ÷ (Servings per cake) = Number of cakes

73 ÷ 24 = 3.04166667

Since you cannot have a fraction of a cake, you need to round up to the next whole number. Therefore, you need 4 cakes to have enough servings for everyone at the party.

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4 cakes are needed for the party to ensure that each of the 70 guests and 3 staff members receives a serving of cake.

To determine the number of cakes needed, we must first calculate the divide that number by the number of servings each cake provides.

 First, we add the number of guests to the number of staff:

70 guests + 3 staff = 73 people in total.

 Next, we need to ensure that each person gets one serving of cake. Since each cake serves 24 servings, we divide the total number of people by the number of servings per cake:

73 people · 24 servings per cake = 3 cakes with some servings left over.

 Since we cannot serve a fraction of a cake, we must round up to the nearest whole number to ensure that there are enough servings for everyone. Therefore, we need 4 cakes in total to serve all 73 people at the party.

 In conclusion, 4 cakes are needed for the party to ensure that each of the 70 guests and 3 staff members receives a serving of cake.

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

The Triangle Proportionality Theorem asserts that a line drawn parallel to one side of a triangle divides the other two sides proportionally. This is related to the properties of similar triangles, where the corresponding sides of similar triangles are proportional due to the AAA similarity criterion.

The Triangle Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. This means that the segments created on one side of the triangle are in the same ratio as the corresponding segments on the other side of the triangle. For example, in [tex](\Delta ABC)[/tex] with a line parallel to [tex](\overline{BC})[/tex], the theorem asserts that [tex](\frac{AD}{DB} = \frac{AE}{EC})[/tex].

This concept is deeply rooted in the properties of similar triangles which are based on the Angle-Angle-Angle (AAA) similarity criterion. According to the AAA theorem, if two triangles have corresponding angles that are equal, then their corresponding sides are proportional. Thus, if two triangles are similar, the lengths of their corresponding sides form a proportion such as [tex](\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF})[/tex], where each fraction is the ratio of a pair of corresponding sides.

The principles of the Triangle Proportionality Theorem can be applied in various geometric problems, often to compare the lengths of sides within the same triangle or in two similar triangles. It is also useful in determining distances or heights by applying the theorem to real-life scenarios, such as calculating the height of a wall using the shadow it casts, provided the sun's rays are considered parallel.

The slope value of the line drawn is 2

Choosing the points to be used to calculate the slope from the graph;

Slope = Rise / Run

This means:

Slope = -6/-3

slope = 2

Therefore, the value of the slope is 2

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Isolate b1 in the equation A=12h(b1+b2) by first subtracting 12h*b2 from both sides and then divide both sides by 12h. The result is b1 = (A - 12h*b2) / 12h.

In order to solve the equation A=12h(b1+b2) for b1, we need to isolate b1. We begin by subtracting the product of 12h times b2 from both sides of the equation. This gives us A-12h(b2) = 12h(b1).

Next, we divide both sides of the equation by 12h to solve for b1, resulting: b1 = (A - 12h*b2) / 12h.

So, if you can determine the values of A, b2, and h from your problem, you can substitute those in to get your solution for b1.

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Answer: the answer is C. 45.

Answer:

the answer is D

Step-by-step explanati

The set of all numbers on a number line is called the "Real Numbers".

Any number that can be represented as the ratio of two integers and where the denominator is not zero is referred to as rational.

The set of all numbers on a number line is called the "Real Numbers".

A number that has an equivalent terminating or repeating decimal is called a "Rational Number".

A number that has an equivalent decimal that is non-repeating is called an "Irrational Number".

Any number that can be written as a fraction of integers is a "Rational Number".

Hence, the set of all numbers on a number line is called the "Real Numbers".

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Answer:

The amount of Mark's Total payment is $9478.15.

Step-by-step explanation:

Given : Mark borrowed $5,500 at 11.5 percent for five years.

To find : What is the amount of Mark's total payment?          

Solution :

Using compound interest formula,

[tex]A=P(1+r)^t[/tex]

Where A is the amount, 

P is the principle P=5,500  

r is the rate r=11.5%=0.115

t is the time t= 5 years

Substitute the value,

[tex]A=P(1+r)^t[/tex]

[tex]A=5500(1+0.115)^5[/tex]

[tex]A=5500(1.115)^5[/tex]

[tex]A=5500(1.7233)[/tex]

[tex]A=9478.15[/tex]

Therefore, The amount of Mark's Total payment is $9478.15.

The probability you will pick two black marbles out of the bag without replacing the first one chosen is, 1 / 7.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

There are 3 black marbles and 4 red marbles in a bag.

Hence, Total number of marbles = 3 + 4 = 7

Thus, The probability you will pick one black marbles out of the bag is,

⇒ 3 / 7

And, The probability you will pick another black marbles out of the bag is,

⇒ 2 / 6

⇒ 1 / 3

Thus, The probability you will pick two black marbles out of the bag without replacing the first one chosen is,

⇒ 3/7 × 1/3

⇒ 1/7

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Answer: it would be a good deal because if you do you 1/3x (3.14) or pie x (5) cause it’s the diameter and 10 divided by 2 is 5

Step-by-step explanation:

To determine the ticket prices at Family Flicks, we create a system of equations using variables A for adult tickets and C for child tickets, then solve for A and C using the given information.

To find the adult and child ticket prices for movies at Family Flicks, we can establish a system of equations based on the information provided. Let's denote the price of an adult ticket as A and the price of a child ticket as C. From the first family's purchase, we have the equation 2A + 3C = $27.75. The second family's purchase gives us the second equation 3A + 2C = $32.25. Solving this system of equations will provide us with the prices for the adult and child tickets.

Answer:

Step-by-step explanation:

Alright, lets get started.

We are given an angle -308 degrees.

A co-terminal angle is an angle which shares the same terminal side of the angle given.

We are asked to find its positive co-terminal angle.

When we find positive co-terminal angle, we add 360 degrees in given angle, so

positive co-terminal angle is : [tex]-308+360=52[/tex]

So, the answer is 52 degree.   :   Answer

Hope it will help :)

To calculate the force exerted by the wind blowing against the side of the building, you can use the formula f = 0.004av², where f is the force, a is the area of the surface, and v is the wind velocity. Given the wind velocity of 81 mi/h, you need to determine the area of the surface to calculate the force.

The formula to calculate the force exerted by a wind blowing against a flat surface is given as f = 0.004av², where f is the force in pounds, a is the area of the surface in square feet, and v is the wind velocity in miles per hour.

In this case, we are given that the wind velocity is 81 mi/h. To calculate the force exerted by the wind, we need to know the area of the surface.

Once we have the area, we can substitute the values into the formula and calculate the force.

The required measure of the number of pounds of berries each person would receive is 1.562 pounds.

Given that,
One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries. She split the berries evenly among 4 people. Which measure is the best estimate for the number of pounds of berries each person would receive is to be determined.

In mathematics, it deals with numbers of operations according to the statements.

Total number of berries = 3 3 /8 + 2 7/8
                                        = 5 5 /4 = 25 / 4 pounds

Number of people = 4
pounds of berries each people can have,
=  25/ 4 / 4= 25 / 16
 = 1.562 pounds            

Thus, the required measure of the number of pounds of berries each person would receive is 1.562 pounds.    

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Answer:

only A. and E.

Step-by-step explanation:

The answer would be option(A) and (E) are show a geometric series.

A. 2 + 3 + 4.5 + 6.75 + …

E. 8 + 4 + 2 + 1 + …

Geometric sequence or series is defined as a sequence of numbers such that the next term is either increasing or decreasing by a specific ratio referred to as a geometric sequence.

The standard equation for geometric series as:

Tₙ = a₁ rⁿ⁻¹

where a₁ is the first term and r is the common ratio.

A. 2 + 3 + 4.5 + 6.75 + …

Here, first term a₁ = 2 ,

The common ratio r = 3/2 = 4.5/3 = 6.75/4.5 = 1.5

So, this is a geometric series.

E. 8 + 4 + 2 + 1 + …

Here, first term a₁ = 8 ,

The common ratio r = 4/8 = 2/4 = 1/2 = 0.5

So, this is a geometric series.

Hence, the option(A) and (E) are show a geometric series.

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