The cost of 7 scarves is $68.25. What is the unit price?

A fixed point refers to a type of numerical representation where a certain number of digits are reserved for the integer part of the number, and a certain number of digits are reserved for the decimal part.

In this case, the fixed point needs to occupy a minimum of 8 digits, which means that there will be 6 digits reserved for the integer part of the number, and 2 digits reserved for the decimal part.

The number should also be left-aligned, which means that it will be aligned with the left side of the column or field where it is displayed. This ensures that all numbers are easily readable and comparable.

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Answer:

135 points

Step-by-step explanation:

We can solve this easily, 30x4=120+15=135

So, after shopping 30 times you would have 120 points plus the 15 you got when making the account, in total 135 points.

Answer:

That triangle is called a Scalene Triangle

Step-by-step explanation:

Have a great day!

To prepare a 10mL of a 0.050M sucrose solution, we need to take 5mL of the 0.10M sucrose solution and dilute it with 5mL of distilled water.

To prepare a 10mL of a 0.050M sucrose solution from a 0.10M solution, we need to dilute the original solution.

The formula for dilution is:

C₁V₁ = C₂V₂

Where:

C₁ = initial concentration of the solution

V₁ = initial volume of the solution

C₂ = final concentration of the solution

V₂ = final volume of the solution

Substituting the given values, we get:

(0.10M) (V1) = (0.050M) (10mL)

Solving for V₁, we get:

V₁ = (0.050M) (10mL) / (0.10M)

V₁ = 5mL

This will result in a total volume of 10mL and a final concentration of 0.050M.

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5 feet 4 inches is approximately equal to 162.56 cm.

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

To convert, we can use the following conversion factors:

1 foot = 30.48 cm

1 inch = 2.54 cm

Therefore, 5 feet = 5 x 30.48 = 152.4 cm

And 4 inches = 4 x 2.54 = 10.16 cm

Adding them together, we get:

152.4 cm + 10.16 cm = 162.56 cm

So, 5 feet 4 inches is 162.56 cm.

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The given question is incomplete, the complete question is :

What is 5ft 4inches in centimeter?

The value of a and b are; a = 2, b = 4

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Given that the diagonals of parallelogram ABCD intersect at P.

4a +  b  = 2a + 8

4a - 2a + b = 8

     2a + b = 8 -----------------(I)

            b = 8 - 2a

11b - 10a = 6b

11b - 6b -10a = 0

5b - 10a = 0 ---------(II)

Substitute b = 8 - 2a  in equation (II)

5(8-2a) - 10a = 0

40 - 10a - 10a = 0

40 - 20a       = 0

-20a = - 40

a = -40/-20

a = 2

Plugin a = 2 in equation (I)

b = 8 -4

b = 4

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The expected value of the fundraising raffle, rounded to the nearest cent, is -$4.60.

To calculate the expected value (EV), we need to compute the sum of the products of each outcome and its corresponding probability.

The first place prize has a value of $811 and occurs with a probability of 1/2505 since there is only one first place prize among the 2505 tickets sold.

The second place prizes have a value of $20 each and occur with a probability of 7/2505 since there are 7 second place prizes among the 2505 tickets sold.

The remaining tickets are losing tickets with a value of -$5 each. There are 2505 - 1 - 7 = 2497 losing tickets.

Therefore, the expected value can be calculated as:

EV = (811 * 1/2505) + (20 * 7/2505) + (-5 * 2497/2505)

Simplifying the expression:

EV = 0.324351 + 0.049900 + (-4.975050)

EV ≈ -4.6008

Rounding to two decimal places, the expected value is approximately -$4.60.

Therefore, the expected value of the fundraising raffle, rounded to the nearest cent, is -$4.60.

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Answer:

60 cubic units

Step-by-step explanation:

4 x 5 x 3

Answer:

x = 7

Step-by-step explanation:

3x²+5=152

3x²=147

x²=147/3

x² = 49

x = 7

Answer:

x =±7

Step-by-step explanation:

3x²+5=152

To find x, subtract 5 from each side

3x²+5-5=152-5

3x²=147

Divide each side by 3

3x²/3=147/3

x²=49

Take the square root of each side

\(\sqrt{x^{2} }=\sqrt{49}\)

x =±7

The functions for this problem are classified as follows:

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

For the land function, the rates are given as follows:

The differences are given as follows:

Neither are exactly the same, however the variations for the differences are less, meaning that it can be classified as a linear function.

For the car, the rates are given as follows:

The differences are given as follows:

Again less change on the differences, hence also linear.

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Using the Cramer's Rule, the solution of the given system of equation is (-17/11, 48/11)

The given system of equations are

10x+4y=2

-6x+2y=18

Solving the equations by using Cramer's rule.

We know that, the solution of a system of linear equations in two unknowns

a(1)x+b(1)y = c(1)

a(2)x+b(2)y = c(2)

is given by ∆x=∆1, and ∆y=∆2.

where,

\(\Delta=\text{det}\left [ \begin{matrix} a(1)&b(1) \\ a(2) & b(2)\end{matrix} \right ], \Delta(1)=\text{det}\left [ \begin{matrix} c(1)&b(1) \\ c(2) & b(2)\end{matrix} \right ]\text{ and }\Delta(2)=\text{det}\left [ \begin{matrix} a(1)&c(1) \\ a(2) & c(2)\end{matrix} \right ]\)

Since the given equations are;

10x+4y=2

-6x+2y=18

Now,

\(\Delta=\text{det}\left [ \begin{matrix} 10&4 \\ -6 & 2\end{matrix} \right ]\)

∆ = [(10×2)-(-6×4)]

∆ = 20+24

∆ = 44

\(\Delta(1)=\text{det}\left [ \begin{matrix} 2&4 \\ 18 & 2\end{matrix} \right ]\)

∆(1) = [(2×2)-(18×4)]

∆(1) = 4-72

∆(1) = -68

\(\Delta(2)=\text{det}\left [ \begin{matrix} 10&2 \\ -6 & 18\end{matrix} \right ]\)

∆(2) = [(10×18)-(-6×2)]

∆(2) = 180+12

∆(2) = 192

By Cramer's Rule,

∆x = ∆(1)

44 × x = -68

x = -68/44

x = -17/11

Now,

∆y = ∆(2)

44 × y = 192

y = 192/44

y = 48/11

Hence, the solution of the given system of equation is (-17/11, 48/11).

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The right question is:

Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. Write all numbers as integers or simplified fractions.

10x+4y=2

-6x+2y=18

That method is effective for assessing how educational opportunity programmes affect SDSU freshman.

The researcher can acquire information to evaluate the effectiveness of the programme by getting a list of students enrolled in the EOP and randomly selecting a sample of 100 students.

It's crucial to take into account a few things in order to assure the study's validity:

Thus, by taking into account these elements, the researcher can add to the body of knowledge on the efficacy of such program and gain insightful information about how educational opportunity program affect SDSU freshmen.

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The required answer is the use of a simple random sample in this scenario allows the researcher to obtain a representative subset of EOP students and examine the impact of the program on SDSU freshmen.

A simple random sample involves randomly selecting individuals from a population in such a way that each individual has an equal chance of being chosen. In this case, the researcher obtained a list of students enrolled in the EOP program and used a random number generator to select 100 students. By ensuring that each student had an equal chance of being selected, the researcher obtained a simple random sample.

The use of a simple random sample is beneficial as it helps to reduce bias and increase the representativeness of the sample. By randomly selecting students from the EOP program, the researcher can gather data that is likely to be more reflective of the overall EOP population at SDSU.

The data collected from the sample can then be analyzed to draw conclusions about the impact of the EOP program on SDSU freshmen. The findings can provide valuable insights into the effectiveness of the program and help guide future improvements and decision-making.

It is important to note that while a simple random sample is a widely used sampling method, it may not always be feasible or appropriate for every research study. Other sampling methods, such as stratified sampling or cluster sampling, may be more suitable depending on the research objectives and constraints.

Therefore, the use of a simple random sample in this scenario allows the researcher to obtain a representative subset of EOP students and examine the impact of the program on SDSU freshmen.

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Answer:

x = 6.928

Step-by-step explanation:

Since we don't know the hypotenuse, we will use tan

tanΘ = opposite/adjacent     (Θ = theta, which is basically the variable for an angle)

tan30° = x/12

to find x, multiply 12 to the other side

12tan30° = x            (plug this into a calculator)

x = 6.928

The Process Capability Index (Cpk) is 0.24

The process capability index (Cpk) for the organic yogurt processing plant can be calculated as follows:

Cpk = min[(USL - μ) / (3σ), (μ - LSL) / (3σ)]

Where:

- USL is the upper specification limit (16.9 ounces)

- LSL is the lower specification limit (15.1 ounces)

- μ is the process mean (16.0 ounces)

- σ is the process standard deviation (1.25 ounces)

To calculate Cpk, we need to consider the specifications and the process performance. The formula compares the process variation to the specification limits. The numerator represents the distance between the process mean and the nearest specification limit, while the denominator represents three times the process standard deviation.

In this case, the process mean (μ) is 16.0 ounces, the upper specification limit (USL) is 16.9 ounces, and the lower specification limit (LSL) is 15.1 ounces. The process standard deviation (σ) is 1.25 ounces.

By plugging these values into the Cpk formula, we can determine the smaller value between the two ratios, representing the capability of the process to meet the specifications. This Cpk value indicates how well the process fits within the specification limits, with higher values indicating better capability.

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Your inequality has one solution which is p = 1/4

Answer:

0.16/8.5

Step-by-step explanation:

so to get the slope use (Y2-Y1) over (X2-X1)

this means that the formula is

1/2-1/3

---------

25.5- 17

Respuesta:

x = 5.656854249

Explicación paso a paso:

[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]

x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]

x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]

x = 5.656854249

The probability that a randomly selected datum falls within 2 standard deviations of the mean as required is; 0.95.

By observation, it follows that the distribution as represented in the task content above is a normal distribution.

On this note, the empirical rule applies as follows;

For a standard normal distribution, 68% of the observations (datum) fall within 1 standard deviation of the mean; 95% of the datum lie within two standard deviation of the mean; and 99.9% lie within 3 standard deviations of the mean.

On this note, when expressed as a percentage; the probability that the randomly selected datum falls with 2 standard deviations is; 95/100 = 0.95.

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Answer:

2/5 is the answers for the question

Step-by-step explanation:

please give me brainlest and follow me

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer:

df

Step-by-step explanation:

erg

On solving the provided question, we can say that the money they would raise if they sell 1000 tickets will be given the equation that is  y = 24R/10

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

the money they would raise if they sell 1000 tickets

will be given the equation that is

M = 24/10R

y = 24R/10

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The zeros of the function f(x) = x³ - 36x are x = 0, x = 6, and x = -6

Given is a function we need to find the zeros of the function and check the multiplicity of any multiple zeros.

Given function f(x) = x³-36x,

To find the zeros of the function f(x) = x³ - 36x, we need to set the function equal to zero and solve for x:

x³ - 36x = 0

Factor out an x:

x(x² - 36) = 0

Now, we have two cases to consider:

Case 1: x = 0

If x = 0, then the equation x(x² - 36) = 0 is satisfied.

Case 2: x² - 36 = 0

To solve x² - 36 = 0, we can factor it as a difference of squares:

(x - 6)(x + 6) = 0

Setting each factor equal to zero, we have:

x - 6 = 0 ⇒ x = 6

x + 6 = 0 ⇒ x = -6

Therefore, the zeros of the function f(x) = x³ - 36x are:

x = 0 (with multiplicity 1)

x = 6 (with multiplicity 1)

x = -6 (with multiplicity 1)

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The scale factor used in the dilation is 1/2

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

The scale factor is calculated as

Scale factor  = A'/A

Substitute the known values in the above equation, so, we have the following representation

Scale factor  = (-1, 3)'/(-2, 6)

Evaluate

Scale factor  = 1/2

Hence, the scale factor is 1/2

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Eukaryotic cells have a true membrane-bound nucleus and prokaryotes do not.

Eukaryotic cells are larger than prokaryotic cells and have a “true” nucleus, membrane-bound organelles, and rod-shaped chromosomes. The nucleus houses the cell's DNA and directs the synthesis of proteins and ribosomes.

All cells have a plasma membrane, ribosomes, cytoplasm, and DNA. Prokaryotic cells lack a nucleus and membrane-bound structures. Eukaryotic cells have a nucleus and membrane-bound structures called organelles.

So..the answer should be Eukaryotic cells have a true membrane-bound nucleus and prokaryotes do not.

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Answer:

Prokaryotes

✔ do not have

a nucleus surrounding their chromosome of DNA.

Prokaryotes are

✔ more

simple cells than eukaryotes.

Prokaryotes have a

✔ cell wall

outside their cell membrane that gives protection and support.

Prokaryotes will often move by a tail-like

✔ flagellum

.

Step-by-step explanation: