PLEASE HELP MEEE HURRYY (Make sure to show your work)

A grocer sells 50 loaves of bread a day. The cost is $0.65 a loaf. The grocer estimates that for each $0.05 price increase, 2 fewer loaves of bread will be sold. What cost will maximize the profit?
Let x = number of $0.05 price increases

What is the equation to represent the single price

What is the equation for the number of loaves sold

What is the equation for the income.

Find the vertex.

What cost will bring the maximum profit.

Answer:

1/45

Step-by-step explanation:

Let A be the event that the applicant has a Master's degree and B be the event that the applicant does not have work experience.

Then, we are given:

P(A) = 1/3

P(not B) = 4/9

P(at least one characteristic) = P(A or B) = 1/5

We want to find P(A and not B), which is the probability that the applicant has a Master's degree but no work experience.

Using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

We can rearrange to solve for P(A and B):

P(A and B) = P(A) + P(B) - P(A or B)

P(B) = 1 - P(not B) = 1 - 4/9 = 5/9

Substituting in the given probabilities:

1/5 = 1/3 + 5/9 - P(A and B)

Solving for P(A and B):

P(A and B) = 1/3 + 5/9 - 1/5

P(A and B) = 1/45

Therefore, the probability that the applicant will have both characteristics (a Master's degree and no work experience) is 1/45.

The answers for the following questions are given below.

Scientific notation, also known as standard form or exponential notation, is a way of writing numbers that are either very large or very small in a compact and convenient way.

It is commonly used in mathematics, science, engineering, and other fields that deal with very large or very small quantities.

In scientific notation, a number is expressed as a product of a decimal number between 1 and 10 (the significand or mantissa) and power of 10.

b) To plot the populations of the three countries on a number line, we can use a logarithmic scale, which will allow us to represent the large differences in population size on a smaller scale. We can start by marking each power of 10 on the number line and then placing the populations of each country accordingly:

|-----------------|------------------|------------------|------------------|------------------|

10⁰              10¹                 10²                 10³                 10⁴

Panama: 4x10⁶      Peru: 3.2x10⁷    Thailand: 7x10⁷

c) To label the furthest right box on the number line so that all three countries' population fit, we need to find the largest population value among the three countries and then round it up to the nearest power of 10. The largest population value among the three countries is 7x10⁷, so we can round it up to 10⁸. Therefore, we can label the furthest right box on the number line as 10⁸.

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Populations on the number line,

B. Panama: 4x10⁶      

Peru: 3.2x10⁷    

Thailand: 7x10⁷

C. We can label the furthest right box on the number line as 10⁸.

Scientific notation, also known as standard form or exponential notation, is a method of writing very large or very small numbers in a compact and convenient manner.

It is widely used in mathematics, science, technology, and other disciplines that deal with very large or extremely small quantities.

A number is expressed in scientific notation as the product of a decimal number between 1 and 10 (the significand or mantissa) and a power of ten.

B). To  compass the populations of the three countries on a number line, we can use a logarithmic scale, which will allow us to represent the large differences in population size on a  lower scale. We can start by marking each power of 10 on the number line and  also placing the populations of each country consequently .

|-----------------|------------------|------------------|------------------|------------------|

10⁰              10¹                 10²                 10³                 10⁴

Panama: 4x10⁶      Peru: 3.2x10⁷    Thailand: 7x10⁷

C). To label the rightmost box on the number line for the populations of all three countries, we need to find the largest population value among the three countries and round it up to the nearest power of ten. The maximum population of the three countries is 7x10⁷, so we can round up to 10⁸. So we can represent the rightmost box on the number line as 10⁸.

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The correct answer is "1/2: Vertically compressed by a factor of and shifted right 2 units."

What is the linear function?

A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.

To obtain the function g(x) from the parent function f(x), we need to apply the following transformations:

Vertical stretch by a factor of 2.

Horizontal shift right by 2 units.

Vertical shift down by 4 units.

Starting with the parent function f(x) = 1/x, we can apply these transformations as follows:

Vertical stretch by a factor of 2:

Multiply the function by 2:

g(x) = 2*(1/x)

g(x) = 2/x

Horizontal shift right by 2 units:

Replace x with (x-2):

g(x) = 2/((x-2))

Vertical shift down by 4 units:

Subtract 4 from the function:

g(x) = 2/((x-2)) - 4

Simplifying this expression, we can factor out a 2 from the denominator:

g(x) = 2/(2(x-1)) - 4

g(x) = 1/(x-1) - 4

Therefore, the function g(x) = 1/(2x-4) is obtained from the parent graph f(x) = 1/x by applying a vertical stretch by a factor of 2, a horizontal shift right by 2 units, and a vertical shift down by 4 units.

Hence, The correct answer is "1/2: Vertically compressed by a factor of and shifted right 2 units."

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Answer:vertically compressed by a factor of 1/2 and shifted right 2 units

Step-by-step explanation:

Therefore , the solution of the given problem of unitary method comes out to be it will cost $27.00 to purchase enough sand to fully fill the sandbox.

The job can be finished by combining the data obtained that use this nanosection method throughout all additional variable data of two people who used a single method. Simply put, this indicates that when a desired result manifests, either equation  the stated entity would be known or, in actuality, the colour by both enormous operations would be skipped. A changeable fee of Rupees ($1.01) may well be necessary for forty pens.

Here,

The playground has the following size:

=> 3 m x 2 m x 1 m = 6 cubic meters

We require 6 cubic metres of sand to fully fill the sandbox.

Sand will cost $4.50 per cubic metre in total, which equals:

=> $4.50 per cubic metre times 6 cubic metres equals $27.00.

Therefore, it will cost $27.00 to purchase enough sand to fully fill the sandbox.

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According to the proof, the option C which has ∠WXY ≅ ∠YZW statement is used within the proof.

Given rectangle WXYZ.

Asked to prove the statement: ΔWXY ≅ ΔYZW

According to the SAS postulate, two sides of one triangle and the angle that connects them are congruent if they are also congruent with two sides and the included angle of a second triangle.

According to given rectangle:

XW ≅ YZ (opposite side of rectangle)

∠WXY ≅ ∠YZW (opposite angle of rectangle)

XY ≅ WZ (opposite side of rectangle)

Hence, ΔWXY ≅ ΔYZW according to SAS Postulate.

Therefore, the statement ∠WXY ≅ ∠YZW is used within this proof. So option C is correct.

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The work tells that 2 is not the zero whereas 3 is the zero of the polynomial.

What is a polynomial?

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction and multiplication is referred to as a polynomial.

We are given that using synthetic division method and rational zero theorem, a student checks the possible zeroes of a polynomial which are 2 and 3.

Now,

When 2 is checked for the possibility of zero, the remainder is obtained as -40. This indicates that 2 is not a zero of the polynomial.

Similarly,

When 3 is checked for the possibility of zero, the remainder is obtained as 0. This indicates that 3 is one of the zeroes of the polynomial.

Hence, the work tells that 2 is not the zero whereas 3 is the zero of the polynomial.

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The margin of error with a 99% confidence level for the data is approximately 17.06 and  a range of 508 ± 17.06, or between 490.94 and 525.06.

What is margin error ?

Margin of error is a statistical term that refers to the range of error that is inherent in any sample-based estimation of a population parameter. It is typically used in the context of opinion polls, surveys, and other types of data collection that involve taking a sample of a larger population.

The margin of error represents the degree of uncertainty that is associated with the sample estimate, and it is influenced by factors such as the size of the sample, the variability of the data, and the desired level of confidence in the estimate.

According to the question:

To calculate the margin of error with a 99% confidence level, we can use the following formula:

Margin of error = z* (standard deviation / sqrt(sample size))

where z* is the critical value for a 99% confidence level, which can be found using a standard normal distribution table or calculator. For a 99% confidence level, the critical value is approximately 2.576.

Given that the mean score on the exam was 508 with a standard deviation of 121 and a sample size of 200, we can plug these values into the formula to find the margin of error:

Margin of error = [tex]2.576 * (121 / \sqrt{200})[/tex]

≈ 17.06

Therefore, the margin of error with a 99% confidence level for the data is approximately 17.06. This means that we can be 99% confident that the true mean score on the exam falls within a range of 508 ± 17.06, or between 490.94 and 525.06.

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The distance between the two given points is 13 units.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively.

The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

The Pythagorean theorem can be rewritten as d=(((x 2-x 1)2+(y 2-y 1)2) to calculate the separation between any two locations.

Formula: d=√((x2 – x1)² + (y2 – y1)²)

Now, insert values as follows:

d=√((x2 – x1)² + (y2 – y1)²)

d=√((6 – 1)² + (8 + 4)²)

d=√((5)² + (12)²)

d=√25+144

d=√25+144

d=√169

d=√13*13

d= 13 units

Therefore, the distance between the two given points is 13 units.

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Answer: 2,400

Step-by-step explanation: Multiply the mass value by 2000

Answer:

2400 pounds

Step-by-step explanation:

1 ton is 2000 pounds

So we can multiply the number of tons by 2000 to get the answer.

1.2 * 2000 = 2400 pounds

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Therefore , the solution of the given problem of function comes out to be 22 shirts sold at a price $16 represent the equilibrium point for Devon's T-shirt company.

The math lesson includes a variety of subjects, such as math, integers, but one's subdivisions, as well as architecture, construction, and that both real but rather fictitious geographic locations. A work covers the connections between different variables that all work together to produce the same result. A utility is made up of a variety of distinctive components that cooperate to create distinctive results for each input.

Here,

The intersection of the demand and supply vectors is where the equilibrium point in economics is located. The quantity supplied and requested are equal at this time, and the price is stable. We must resolve the equation system in order to determine the equilibrium point:

=> P = -Q + 38 (demand)

=> P = Q + 6 (supply

When we set the two P expressions to be equivalent to one another, we obtain:

=> -Q + 38 = Q - 6

ye.commastmastmastmastmas, and

=> 44 = 2Q

When you divide both parts by 2, you get:

=> Q = 22

The price at the equilibrium moment can now be determined using either equation. Use the demand calculation as an example:

=> P = -Q + 38

=> P = -22 + 38

=> P = 16

Therefore, 22 shirts sold at a price $16 represent the equilibrium point for Devon's T-shirt company.

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The sοlutiοn tο the given system οf equatiοns is x ≈ 0.85 and y ≈ 5.08.

The given system οf equatiοns can be written in matrix fοrm:

| 3 5 | | x | | 27 |

| 2 -1 | x | y | = |-8 |

The determinant οf the cοefficient matrix is:

D = | 3 5 |

| 2 -1 | = (3*-1) - (5*2) = -13

The determinant οbtained by replacing the x cοlumn with the cοnstants is:

Dx = | 27 5 |

|-8 -1 | = (27*-1) - (5*-8) = -11

The determinant οbtained by replacing the y cοlumn with the cοnstants is:

Dy = | 3 27 |

| 2 -8 | = (3*-8) - (27*2) = -66

Using Cramer's rule, the sοlutiοn is:

x = Dx/D = -11 / -13 = 0.846 ≈ 0.85

y = Dy/D = -66 / -13 = 5.077 ≈ 5.08

Therefοre, the sοlutiοn tο the given system οf equatiοns is x ≈ 0.85 and y ≈ 5.08.

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The only possible value of ∠P in ΔNOP

∠P ≈ 59°

P must be less than 180 degrees because it is an angle in a triangle. As a result, the value of P to the nearest degree can only be:

∠P ≈ 59°

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which means "corner," is where the term "angle" originates. The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean. The sign " is used to denote angles.

from the question:

Using the Law of Cosines, which states that the following formula holds for any triangle with sides a, b, and c and opposite angles A, B, and C, we can determine all possible values of P in NOP.

[tex]c^2 = a^2 + b^2 - 2ab cos(C)[/tex]

Extending this to NOP, we can use the angle and existing side lengths to determine the length of side n:

cos(28°) = o/n

n = o / cos(28°) = 51 / cos(28°) ≈ 59.87 inches

The Law of Cosines can now be used once more to determine the potential values of P. We are aware of:

[tex]p^2 = n^2 + o^2 - 2no cos(P)[/tex]

Substituting the values we know, we get:

[tex]56^2 = (59.87)^2 + 51^2 - 2(59.87)(51) cos(P)[/tex]

Simplifying this expression and solving for cos(P), we get:

[tex]cos(P) = (59.87^2 + 51^2 - 56^2) / (2(59.87)(51))[/tex]

cos(P) ≈ 0.506

Taking the inverse cosine of this value, we get:

P ≈ 59.3° or P ≈ 300.7°

P must, however, be smaller than 180° because it is an angle in a triangle. As a result, the value of P to the nearest degree can only be:

∠P ≈ 59°

Hence, in NOP, P can only have one potential value.

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The only possible value of ∠P in ΔNOP

∠P ≈ 59°

P must be less than 180 degrees because it is an angle in a triangle. As a result, the value of P to the nearest degree can only be:

∠P ≈ 59°

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which means "corner," is where the term "angle" originates. The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean. The sign " is used to denote angles.

from the question:

Using the Law of Cosines, which states that the following formula holds for any triangle with sides a, b, and c and opposite angles A, B, and C, we can determine all possible values of P in NOP.

[tex]c^2=a^2+b^2-2abcos(C)[/tex]

Extending this to NOP, we can use the angle and existing side lengths to determine the length of side n:

cos(28°) = o/n

n = o / cos(28°) = 51 / cos(28°) ≈ 59.87 inches

The Law of Cosines can now be used once more to determine the potential values of P. We are aware of:

[tex]p^2=n^2+o^2-2ncos(P)[/tex]

Substituting the values we know, we get:

[tex]56^6=(59.87)^2+51^2-2(59.87)(51)cos(P)[/tex]

Simplifying this expression and solving for cos(P), we get:

[tex]cos(P)=(59.87^2+51^2+-56)/(2(59.87)(51))[/tex]

cos(P) ≈ 0.506

Taking the inverse cosine of this value, we get:

P ≈ 59.3° or P ≈ 300.7°

P must, however, be smaller than 180° because it is an angle in a triangle. As a result, the value of P to the nearest degree can only be:

∠P ≈ 59°

Hence, in NOP, P can only have one potential value.

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A cubic functiοn can be either οne οr twο, and the number οf minimum and/οr maximum pοints οn the graph οf a quartic functiοn can be zerο, οne, twο, οr three.

it's a secοnd-degree quadratic equatiοn which is an algebraic equatiοn in x. Ax² + bx + c = 0, where a and b are the cοefficients, x is the variable, and c is the cοnstant term, is the quadratic equatiοn in its standard fοrm. A nοn-zerο term (a 0) fοr the cοefficient οf x² is a prerequisite fοr an equatiοn tο be a quadratic equatiοn.

The x² term is written first, then the x term, and finally the cοnstant term is written when cοnstructing a quadratic equatiοn in standard fοrm. In mοst cases, the numerical values οf letters a, b, and c are expressed as integral values rather than fractiοns οr decimals.

Fοr a quadratic functiοn, which has degree ², there is always οne minimum οr maximum pοint. This is because the graph οf a quadratic is a parabοla, which has a vertex that is either a minimum οr maximum pοint, depending οn whether the leading cοefficient is pοsitive οr negative.

Fοr a cubic functiοn, which has degree 3, there can be either οne οr twο minimum and/οr maximum pοints. This is because the graph οf a cubic is a curve that can have οne hump οr twο humps, depending οn the cοefficients οf the terms.

Hence a cubic functiοn can be either οne οr twο, and the number οf minimum and/οr maximum pοints οn the graph οf a quartic functiοn can be zerο, οne, twο, οr three.

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Answer:

I am not sure if you have any questions or concerns please visit the attached file is scanned image in PDF format I am not sure if you have any questions or concerns please visit the plug-in settings for this catering to the attached document for your plan for the attached document

The measure of angle <B = 140

A cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle

Also, It is also sometimes called an inscribed quadrilateral and the circle which consists of all the vertices of any polygon on its circumference is known as the circumcircle or circumscribed circle

In a cyclic quadrilateral, opposite angles are supplementary

that is x + 4x -20 = 180

Collecting like terms

5x = 180+20

5x = 200

Dividing by x we have

x = 200/5

x= 40

Therefore the measure of angle B is

4x - 20

4(40) -20

160 - 20

Therefore <B = 140

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The measure of angle of the quadrilateral inscribed in a circle is 140 degrees.

For a quadrilateral inscribed in a circle, oppsosite sides are supplementary.

Supplementary angles adds up to 180 degrees.

From the diagram;

Angle D and angle B are opposite angle of a quadrilateral inscribed in a circle.

First, we determine the value of x.
Since supplementary angles adds up to 180 degrees.

Angle D + Angle B = 180

x + 4x - 20 = 180

Solve for x

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 200/5

x = 40

Now, the measure of angle B will be:

Angle B = 4x - 20

Plug in x = 40

Angle B = 4( 40 ) - 20

Angle B = 160 - 20

Angle B = 140 degrees.

Therefore, angle B has a measure of 140°.

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Answer:

-8

Step-by-step explanation:

Call the lesser integer x. The next consecutive integer could be shown by x+1. We then label this into an equation:

x+2(x+1)=-22

Combine like terms

3x + 2 = -22

Move the constants to one side

3x = -22 - 2 = -24

Divide by 3

->x=-8

The lesser integer is -8. We found this by setting up an equation based on the problem statement, simplifying to isolate for the variable, and then solving for the variable.

In this problem, we are given that the sum of an integer and 2 times the next consecutive integer is -22. Let's express these conditions algebraically. We denote the lesser integer as x. The next consecutive integer is therefore x+1.

We can write the equation according to the problem statement as follows: x + 2 * (x + 1) = -22. Solve this equation to find the value of x.

First, distribute the 2: x + 2x + 2 = -22. This simplifies to 3x + 2 = -22. Now, subtract 2 from both sides of the equation to isolate the terms with x: 3x = -24. Finally, we divide by 3 to solve for x: x = -24 / 3. Therefore, the lesser integer x is equal to -8.

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The number of times that Greg chooses a yellow pebble is 22 times.

To find the number of possible choices, calculate the number of chances in the total number of outcomes.

Since we need to find the number of choices that are expecting a yellow pebble, find the total number of yellow pebbles in the number of pebbles in both Claire and Laura's cases and find the total number of yellow pebbles.

Here we have

A table below shows the number of painted pebbles by Claire and Laura

From the table,

Number of pebbles that Laura painted = 8 yellow, 7 green, 10 blue

Number of pebbles that Claire painted = 14 yellow, 5 green, 6 blue

Total number of yellow pebbles = 8 + 14 = 22

Given that

Greg chooses a pebble at random from the box 75 times, and each time replaces the pebble  

Hence, the number of time that Greg get yellow pebble = number of yellow pebbles

Therefore,

The number of times that Greg chooses a yellow pebble is 22 times.

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The equation represented by the attached graph is

Quadratic equation in standard vertex form is

y = a(x - h)² + k     where a = 1/4p

The vertex

v (h, k) = (0, 0) from the graph

h = 0

k = 0

substitution of the values into the equation gives

y = a(x - h)² + k

y = a(x - 0)² + 0

y = ax²

Using point (1, 3) form the graph to solve for a

y = ax²

3 = a(1)²

a = 3

plugging in to the equation

y = ax²

y = 3x²

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Answer:

c

Step-by-step explanation:

9^2+40^2=44^2

by using Pythagoras theorem

The number line model is a useful tool for representing mathematical expressions, such as 3x > 6, 2x + 7 ≥ 5, and 4x ≤ -3. By plotting points and drawing lines.

A number line is a visual representation of numbers in a linear sequence. It consists of an infinitely long line that is usually marked with a ruler and divided into equal intervals. The numbers are placed along the line in their numerical order starting from the left side.

The expression 3x > 6 can be represented by the number line model shown below. The line is drawn to the left of 6 showing that the value of 3x is greater than 6. The line is labelled with the point 3x to illustrate that the value of 3x is greater than 6. This number line model is an accurate representation of the expression 3x > 6.

The expression 2x + 7 ≥ 5 can be represented by the number line model shown below. The line is drawn to the right of 5 showing that the value of 2x + 7 is greater than or equal to 5. The line is labelled with the point 2x + 7 to illustrate that the value of 2x + 7 is greater than or equal to 5. This number line model is an accurate representation of the expression 2x + 7 ≥ 5.

The expression 4x ≤ -3 can be represented by the number line model shown below. The line is drawn to the left of -3 showing that the value of 4x is less than or equal to -3. The line is labelled with the point 4x to illustrate that the value of 4x is less than or equal to -3. This number line model is an accurate representation of the expression 4x ≤ -3.

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Answer:

1/2

Step-by-step explanation:

3 odd and 3 even on a die

Answer:

C (36 square units)

Step-by-step explanation:

Therefore, when one angle is specified as 44°, the length of the absent side (base) is approximately 11.8.

Three straight edges and three angles make up the closed, two-dimensional shape of a triangle. Three non-collinear elements are connected to create it. A triangle's three sides add up to a constant 180 degrees. The longest side in a right triangle, also known as the hypotenuse, is the side that faces the greatest angle. Triangles can be categorized into different types depending on how long their sides are and how much inclination they have, including equilateral, isosceles, scalene, acute, right, and obtuse triangles. In order to learn shapes and angles, triangles are frequently used in geometry and trigonometry.

given

The length of the missing side can be determined using the trigonometric formula cosine (cos).

adjacent / hypotenuse = cos(44°)

cos(44°) = x / 17

x = 17 cos(44°)

x ≈ 11.8 (rounded to the closest tenth) (rounded to the nearest tenth)

Therefore, when one angle is specified as 44°, the length of the absent side (base) is approximately 11.8.

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a.  The value of the annuity is $7,735.42. b. The interest is  -$1,735.42 (rounded to the nearest dollar).

Interest is the cost of borrowing money or the amount earned on deposited funds over a certain period of time. It is typically expressed as a percentage of the principal amount, also known as the interest rate. When someone borrows money, they usually pay interest to the lender as compensation for the use of the funds. On the other hand, when someone saves or invests their money, they may earn interest on their deposits or investments. The amount of interest earned or paid depends on factors such as the interest rate, the principal amount, the duration of the loan or deposit, and the compounding frequency. Interest is an important concept in personal finance, investing, and economics in general.

a. To find the value of the annuity, we can use the formula for the present value of an annuity:

PV = (PMT x (1 - (1 + r)^(-n))) / r

where PV is the present value of the annuity, PMT is the periodic payment, r is the interest rate per period, and n is the total number of periods.

In this case, PMT = $100, r = 5.5% / 2 = 0.0275 (since interest is compounded semiannually), and n = 30 years x 2 = 60 periods (since there are two semiannual periods in a year).

Substituting these values into the formula, we get:

PV = (100 x (1 - (1 + 0.0275)^(-60))) / 0.0275 = $7,735.42

Therefore, the value of the annuity is $7,735.42.

b. The total interest earned on the annuity over the 30-year period is simply the difference between the total amount deposited and the present value of the annuity. Since the total amount deposited is $100 x 2 x 30 = $6,000 (since there are two semiannual deposits of $100 for each of the 30 years), we can find the interest as:

Interest = Total amount deposited - Present value of annuity

= $6,000 - $7,735.42

= -$1,735.42 (rounded to the nearest dollar)

Since the interest is negative, this means that the annuity earned less interest than the total amount deposited. This is likely because the interest rate of 5.5% is relatively low, and the semiannual compounding may also have contributed to a lower overall interest earned.

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Using binomial probability distribution, the probability that none of the 15 customers order a coffee is 3.28 * 10^-11 and the probability that all 15 customers order a coffee is 0.035

a) To find the probability that none of the 15 customers order a coffee drink, we use the binomial probability formula:

P(X = 0) = (0.2)^15 ≈ 3.28 * 10^-11

b) To find the probability that all 15 customers order a coffee drink:

P(X = 15) = (0.8)^15 ≈ 0.035

c) To find the probability that at least 10 customers order a coffee drink, we use the complement rule:

P(X ≥ 10) = 1 - P(X < 10)

We can use the cumulative binomial probability distribution to calculate P(X < 10):

P(X < 10) = Σ P(X = k), where k = 0, 1, ..., 9

Using the binomial probability formula, we get:

P(X < 10) = Σ (15C k)(0.8)^k (0.2)^(15-k), where k = 0, 1, ..., 9

Using a calculator or computer program, we find that P(X < 10) ≈ 0.057. Therefore,

P(X ≥ 10) ≈ 1 - 0.057 ≈ 0.943

So the probability that at least 10 customers order a coffee drink is approximately 0.943.

d) To find the probability that no more than 4 customers order a coffee drink, we use the cumulative binomial probability distribution:

P(X ≤ 4) = Σ P(X = k), where k = 0, 1, 2, 3, 4

Using the binomial probability formula, we get:

P(X ≤ 4) = Σ (15C k)(0.8)^k (0.2)^(15-k), where k = 0, 1, 2, 3, 4

Using a calculator or computer program, we find that P(X ≤ 4) ≈ 0.0006

So the probability that no more than 4 customers order a coffee drink is approximately 0.0006.

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Answer:

94cm²

Step-by-step explanation:

circumference of a circle = 2πradius

15*2π = 94cm²