Mom is getting food ready for my birthday party! Including me, there will be 28 people at the party. Mom is baking cookies for us! She can bake 24 cookies per batch. How many batches should I tell Mom to make so we can each have 5 cookies?​

As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).

In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.

The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.

The third set of data is 24, 25, 25, 25, 26, 26.

The median is the middle value, which is also (25+25)/2 = 25.

The mode is the value that appears most frequently, which is 25.

Therefore, the mode and median are the same, fulfilling Marjane's requirement.

Therefore, the correct option is (c).

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Answer:

A, B, C

Step-by-step explanation:

The top right corner is the positive side of the graph. If it goes below the X axis or to left of the Y axis, it is negative. (thus, the negative numbers)

Answer:

A, B, C, F, E, D

Step-by-step explanation:

Matter has mass and occupies space (volume).

The mass of an object is a measure of the amount of matter it contains, while the volume is a measure of the amount of space it occupies. These properties are fundamental to our understanding of the physical world and play a central role in many scientific disciplines, including physics, chemistry, and materials science.

Proton is a subatomic particle with a positive charge.

A proton is a subatomic particle that is found in the nucleus of an atom and has a positive electric charge. Its symbol is "p" or "p+" and its charge is equal in magnitude to that of an electron but with a positive sign. The number of protons in an atom's nucleus determines its atomic number and its identity as a specific element.

Atomic number represents the number of protons.

The atomic number of an element represents the number of protons in the nucleus of an atom of that element. It is also the number of electrons that surround the nucleus in a neutral atom. The atomic number is a unique identifier for each element, and elements are arranged in the periodic table based on their atomic number.

Atom is the simplest form of matter or basic unit.

An atom is the basic unit of matter and is considered the simplest form of matter. It consists of a central nucleus made up of positively charged protons and electrically neutral neutrons, surrounded by negatively charged electrons that orbit the nucleus. The number of protons in the nucleus determines the atom's identity as a particular element, while the number of electrons determines its chemical behavior.

Mixtures are separated by physical means.

Mixtures are combinations of two or more substances that are physically combined but not chemically bonded. Since the substances in a mixture retain their individual properties and can be separated by physical means, mixtures are different from compounds, which are chemically bonded substances that cannot be separated by physical means.

Compounds consist of two or more elements.

Compounds are substances made up of two or more different elements that are chemically bonded together in a fixed ratio. In other words, the elements in a compound are combined in a specific way through chemical reactions to form a new substance with its own unique properties.

Metals will conduct electricity.

Metals are generally good conductors of electricity. This is due to the unique properties of the metallic bond, which is the bond that holds the metal atoms together in a solid.

Electron has a negative charge.

Electrons are negatively charged subatomic particles that are found in orbit around the nucleus of an atom. They have a relative charge of -1 and a mass that is approximately 1/1836th that of a proton. The number of electrons in an atom determines its chemical behavior and reactivity, as well as its electrical conductivity and other physical properties.

Neutron is an uncharged atomic particle.

A neutron is a subatomic particle that is found in the nucleus of an atom, alongside protons. Unlike protons, however, neutrons are electrically neutral, meaning they have no electrical charge. Neutrons have a mass that is slightly larger than that of protons but they do not contribute to the atomic number or the electrical charge of an atom. The stability of the nucleus of an atom is largely determined by the balance between the number of protons and neutrons present.

Nonmetals will not conduct electricity.

The reason for this is that nonmetals typically have high electronegativity, which means they have a strong attraction for electrons and tend to hold onto them tightly. This makes it difficult for electrical current to flow through nonmetallic materials, as the electrons are not free to move around and carry the current.

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Answer:

x=-14

Step-by-step explanation:

first you add 5 to both sides, to get x/2=-7 then multiply each side by two to get x=-14 that is your answer :D

unless, it is \(\frac{x}{2-5}\)=-12 if so than the answer would be 36

Answer:

Step-by-step explanation:

∠B and ∠D are same side interior angles and are supplementary angles ( they add up to 180°) because AB ║CD are cut by transversal BD

5x +4x = 180

9x =180

x= 20

∠B = 5*20 =100°

∠D =4*20 =80°

We can compute various descriptive statistics such as the mean, median, mode, range, variance, standard deviation, sum of values, and sum of squared deviations.

The sample mean, also known as the average, provides information about the central tendency of the variable X. It represents the typical or average number of coupons used by the shoppers in the sample. In this case, calculating the mean of the given data would provide an estimate of the average number of coupons used over the 6-month period.

The sample standard deviation measures the dispersion or variability of the data points around the mean. It indicates how much the individual observations deviate from the mean value. A higher standard deviation implies greater variability, indicating a wider range of coupon usage among the shoppers in the sample.

By computing the sample mean and standard deviation, we can understand the average coupon usage and the degree of variability in the data. These statistics help us summarize and interpret the characteristics of the variable X, allowing us to make comparisons, identify outliers, assess the spread of the data, and make inferences about the larger population from which the sample was drawn.

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Answer:

hope it helps you

Step-by-step explanation:

The Dimention are 8dm and 10dm..

dm2. Find its dimensions. (Relate the measures to the sum and product of a

quadratic equation.)

The perimeter of a rectangle is twice the sum of its length and width while

its area is the product of its length and width. Such that,

Perimeter = 2(L + w) and Area = L.w

Answer:

54

Step-by-step explanation: you add 35 and 11 together then subtract 100 by the number you got to get the anwser

Answer:

The answer is $54

Step-by-step explanation:

Since Harry paid $35 for a tie and $11 for a T-shirt,he paid $46, if he gave the cashier $100, then he would get $56 back.

Step 1: Add how much he paid for the tie and T-shirt

$35 + $11 = $46

Step 2:Subtract 100 from the sum of the tie and T-shirt

$100 - $46 = $54

Step 3:Check the solution to make sure it's right

If 100 - 46 = 54, then 54 + 46 = 100

If 35 + 11 = 46, then 46 - 35 = 11

Correct Answer: $54

The amount of peanut butter needed using a proportion: Mrs. Cunningham should use 2 cups of peanut butter for her huge batch of cookies.

According to Mrs. Cunningham's recipe, she uses 1 cup of peanut butter for every 1/2 cup of oil (12 of a cup is equivalent to 1/2 cup).

Since today she wants to use 1 cup of oil, we can calculate the amount of peanut butter needed using a proportion:

Peanut butter / Oil = 1 cup / 1/2 cup

To find the value of Peanut butter, we can cross-multiply:

Peanut butter = (1 cup / 1/2 cup) * 1 cup

Peanut butter = 1 cup * (2/1)

Peanut butter = 2 cups

Therefore, Mrs. Cunningham should use 2 cups of peanut butter for her huge batch of cookies.

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In a family with five girls and the probability of a boy being born is 1/2, the probability of the next child being a boy is still 1/2.

The previous births do not affect the probability of the next birth since each birth is an independent event.

The probability of an event occurring is determined by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the event of interest is the birth of a boy.

Since each birth is an independent event, the probability of having a boy on any given birth is always 1/2, regardless of the previous children born.

In the given scenario, the family already has five girls. This information is not relevant to the probability of the next child being a boy. The gender of the previous children does not affect the probability of the next child being a boy or a girl.

Therefore, the probability of the next child being a boy remains 1/2, as it is for any independent birth event.

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Answer:

The value of y becomes 1/3 of the original.

Step-by-step explanation:

y = 5/x

The value of x tripling is same as dividing both sides by 3.

y/3 = (5/x)/3

y/3 = 5/3x

1/3y = 5/3x

Let’s check.

Put x as 10 in the original equation.

5/(10)

1/2

Put x as 10 in the new equation.

5/3(10)

5/30

1/6

1/6 is one-third of 1/2.

1/2 × 1/3 = 1/6

Answer:

1/4

Step-by-step explanation:

Answer:

14.48º

Step-by-step explanation:

tan^-1(100/77) = 52.403...

tan^-1(60/77) = 37.926...

52.403 - 37.926 = 14.477

The possible dimensions of the rectangular prism having volume  =  12 in³,  are  Length = 2 in, width = 3 in, height = 2/3 in, and Length = 1 in, width = 12 in, height = 1/12 in.

To find the possible dimensions of the prism, we need to consider that the volume of a rectangular prism is given by the formula V = lwh, where l, w, and h are the length, width, and height of the prism, respectively.

Since the volume of the prism is given as 12 in³, we can write: 12 = lwh
Now, we need to find two sets of dimensions that satisfy this equation, where one of the dimensions is a fraction.

Let's try the first set of dimensions:
l = 2 in
w = 3 in
h = 2/3 in

Plugging these values into the formula for the volume, we get:
V = lwh
V = 2 in × 3 in × 2/3 in
V = 4 in³

This confirms that the volume of the prism is indeed 12 in³, and that one of the dimensions (height) is a fraction.

Now, let's try another set of dimensions:
l = 1 in
w = 12 in
h = 1/12 in

Again, plugging these values into the formula for the volume, we get:
V = lwh
V = 1 in × 12 in × 1/12 in
V = 1 in³

This set of dimensions also satisfies the condition that the volume of the prism is 12 in³, with one of the dimensions (height) being a fraction.

Therefore, the possible dimensions of the prism are:
- Length = 2 in, width = 3 in, height = 2/3 in
- Length = 1 in, width = 12 in, height = 1/12 in.

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The linear equation that gives the rule for this table is y = -5x + 15

The table of values is given as:

x y

1 10

2 5

3 0

4 –5

On the above table, we can see that:

As x increases by 1, the value of y decreases by 5

This means that the slope is

Slope = -5

Also, the above table can be modified as follows (using the slope of -5)

x y

0 15

1 10

2 5

3 0

4 –5

This means that the y-intercept is

y-intercept = 15

A linear equation is represented as

y = slope * x + y-intercept

So, we have

y = -5x + 15

So, the equarion is y = -5x + 15

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Answer:

x = 2

Step-by-step explanation:

\(5x + 3 = 7x - 1 \\ 3 + 1 = 7x - 5x \\ 4 = 2x \\ \frac{4}{2} = x \\ 2 = x \\ x = 2\)

Answer:

y=1/3x+2 2/3

Step-by-step explanation:

1/2x-2/3y=4

-2/3y=-1/2x+4

y=1/3x+2 2/3

Answer:

3x - 4y = 24

Step-by-step explanation:

The standard form of linear equation is Ax + By = C where A, B, and C are integers; A and B ≠ 0; and A is non-negative.  Decimals and fractions are not considered as integers.

Given the linear equation, ½x - ⅔y = 4:

We can eliminate the fractions by multiplying both sides by 6:

6(½x - ⅔y) = 4(6)

(6)(½x) - (6)(⅔y) = 24

3x - 4y = 24  ⇒ This is the standard form of the given equation where A = 3, B = -4, and C = 24.

The given differential equation is

22y" + 4y' + 5y = 1 + 2x.

To use variation of parameters solution is:

y(x) = e^(-0.09091x)(c1 cos(0.84577x) + c2 sin(0.84577x)) - (1/12)(4x² - 9x + 6)

Given equation is:

22y'' + 4y' + 5y = 1+ 2x

We have to use variation of parameters method to solve it.The characteristic equation is:

22m² + 4m + 5 = 0

Solving the above equation,

we get:

m = -0.09091 ± 0.6145i

Now,

we can take

y1(x) = e^(-0.09091x)cos(0.6145x) and

y2(x) = e^(-0.09091x)sin(0.6145x)

Particular integral

y(x) = u1(x)y1(x) + u2(x)y2(x)

where u1(x) and u2(x) are functions to be determined by using below equations:

u1'(x)y1(x) + u2'(x)y2(x)

= 0u1'(x)y1'(x) + u2'(x)y2'(x)

= 1+ 2x

Differentiating y1(x) and y2(x), we get:

y1'(x) = -0.09091e^(-0.09091x)cos(0.6145x) - 0.6145e^(-0.09091x)sin(0.6145x)y2'(x)

= -0.09091e^(-0.09091x)sin(0.6145x) + 0.6145e^(-0.09091x)cos(0.6145x)

Solving above equations, we get:

u1'(x) = (2x - 5e^(0.18181x))/(2e^(0.18181x)cos(0.6145x))

u2'(x) = (5e^(0.18181x) - 1)/(2e^(0.18181x)sin(0.6145x))

Integrating above equations, we get:

u1(x) = 0.5(x - 3.6822sin(0.6145x) + 1.346cos(0.6145x))

u2(x) = 0.5(-3.6822cos(0.6145x) - x + 1.346sin(0.6145x))

Thus, the general solution is:

y(x) = c1e^(-0.09091x)cos(0.6145x) + c2e^(-0.09091x)sin(0.6145x) + 0.5(x - 3.6822sin(0.6145x) + 1.346cos(0.6145x))

[-(3.6822cos(0.6145x) + x + 1.346sin(0.6145x))]/(2e^(0.18181x)sin(0.6145x))

Therefore, the solution of the given differential equation is

y(x) = c1e^(-0.09091x)cos(0.6145x) + c2e^(-0.09091x)sin(0.6145x) + 0.5(x - 3.6822sin(0.6145x) + 1.346cos(0.6145x))

[-(3.6822cos(0.6145x) + x + 1.346sin(0.6145x))]/(2e^(0.18181x)sin(0.6145x)).

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The number of groups formed is 10 if we consider 5 cars in groups of 3.

Given, 5 cars in groups of 3, we can use the formula,

(5 3) = 5! / 3! × 2!

= 10

Permutation and combination are the various ways in which one can form a set that may be selected without any replacement. When the selection of a subset is where we use the permutation and when the ordering of the subset is there we use a combination.

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The probability that she makes correct guesses 14 times or more is 0.0582 and this probability does not seem to verify her claim

Number of tosses of coin  n = 20

probability she guesses correctly p = 0.5

Probability she guesses incorrectly q = 1- p = 0.5

P(X < A) = P( z*σ + μ < A) = P(z < (A-μ)/σ)        (1)      ( ∵ we know z = x - μ/σ)

Mean = μ  = np = 20 * 0.5 = 10

Standard deviation = σ

Standard deviation σ = √npq = √(20 *0.5*(1-0.5) = √5 = 2.236

Probability of being correct 14 times or more

P(X ≥ 14) = 1 - P(X < 13.5)      

              = 1 - P(Z < (13.5 - 10)/2.236)         (using 1)

              = 1 - P(Z < 1.57)

               = 1 - 0.9418

               = 0.0582

Here, the probability of getting 14 or more is 0.0582 and it is usually as the probability is more than 0.05. Thus this probability does not verify her claim

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The empire state building is taller than a chair seat by three orders of magnitude.

Orders of magnitude refer to the classification based on the sizes of two objects against each other.

Orders of magnitude range in the power of 10 or 10ⁿ.

Orders of Magnitude:

10x = 1 order of magnitude

100x = 2nd order of magnitude

1000x = 3rd order of magnitude

Empire State Building = 1,500 feet

Chair seat = 1.5 feet

Order of magnitude = 1,000x (1,500/1.5)

Thus, the Empire State Building is about a thousand times taller than a chair seat or three orders of magnitude.

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Answer:

108 square units

3 x 4 = 12

3 x 4 = 12

6 x 3 = 18

6 x 3 = 18

6 x 4 = 24

6 x 4 = 24

24(2) + 18(2) + 12(2) = 108 square units

Therefore, the surface area of the rectangular solid below using its net is 108 square units

Circumference:-

He need 21.98m fencing material

Answer:

22 m

Step-by-step explanation:

Solving

Answer:

The cosine rule will be used to identify the angles.

let c = 60, a = 42,and b = 22

a²=b²+c²-2bc.cosA

42²=22²+60²-(2*22*60.cosA)

1764=4084 - 2640.cosA

2640.cosA = 4084 - 1764

cos A = 0.8787

A = 28.5°

b²=a²+c²-2ac.cosB

22²=42²+60²-(2*42*60.cosB)

484=5364-5040.cosB

5040.cosB=5364-484

cosB = 0.9682

B = 14.5°

c²=a²+b²-2ab.cosC

60²=42²+22²-(2*42*22.cosC)

3600=2248 - 1848.cosC

1848.cosC=2248-3600

cosC=-0.7316

C = 137°

From the angles obtained, it shows no angle in the triangle was right-angled, that is, 90°. This triangle wasn't right-angled triangle.

Answer:

there were 200 children and 500 adults at the show

Step-by-step explanation:

7x+10y=6400

x+y=700

x=700-y

7(700-y)+10y=6400

4900-7y+10y=6400

-7y+10y=1500

3y=1500

y=500

x=700-y

x=700-500

x=200

the Answer:

200 Children & 500 Adults

Step-by-step explanation:

(A) Set up two equations from the given info:

1) 7C + 10A = 6,400 (amount of money brought in)

2) C + A = 700 (the total amount of people in attendence)

(B) set up a substitution:

A = 640 - 0.7C (can also solve for C, but in this case would be more difficult)

(C) use substitution in the second equation:

C+(640-0.7C)= 700

(D) do the algebra and solve for C:

C= 200

(E) insert the actual value of C back into the equations and solve for A:

200+A = 700 so A=500 (again, you could use either equation, this one is just simpler)

HOPE THIS HELPS!

Answer: \(a=\dfrac{1\pm \sqrt{13}}{6}\)

Step-by-step explanation:

Given

Quadratic Equation is  \(x^2-x-(2a+2)\)

\(-4a\) is the solution of the given equation

\(\therefore (-4a)^2-(-4a)-(2a+2)^2=0\\\Rightarrow 16a^2+4a-(4a^2+4+8a)=0\\\Rightarrow 12a^2-4a-4=0\\\Rightarrow 3a^2-a-1=0\\\\\Rightarrow a=\dfrac{1\pm \sqrt{1+12}}{2\times 3}=\dfrac{1\pm \sqrt{13}}{6}\)

Answer:

f(n) = 32 - 8n

Step-by-step explanation:

24, 16, 8, 0

f(n) = 24 - 8 x (n-1)

f(n) = 32 - 8n

Answer:

r+17=8r+7

r=10+8r

r=2

Step-by-step explanation:

As per the unitary method, Yves bought 60 angelfish and 360 parrotfish for the museum display.

Let's start by assigning variables to the unknown quantities. Let's assume the number of angelfish Yves bought is 'x,' and the number of parrotfish he bought is 'y.' We are given two pieces of information: the total number of tropical fish Yves bought (420) and the fact that he bought 6 times as many parrotfish as angelfish.

Total number of tropical fish:

We know that Yves bought a total of 420 tropical fish. So, we can write the equation:

x + y = 420

Parrotfish to angelfish ratio:

The problem states that Yves bought 6 times as many parrotfish as angelfish. This can be expressed as:

y = 6x

Now, we have a system of two equations with two variables. We can solve this system using the unitary method.

Step 1: Solve the second equation for y:

y = 6x

Step 2: Substitute the value of y in the first equation:

x + 6x = 420

Simplifying the equation:

7x = 420

Step 3: Solve for x:

x = 420/7

x = 60

Step 4: Substitute the value of x back into the second equation to find y:

y = 6x

y = 6 * 60

y = 360

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