A market stall holder bought a variety of coloured 'hoodies' to sell. Each hoodie costs the stall holder $20 and she intends to sell them to the public at a mark up of 65%

1) What profit does the stall holder make on the sale of each hoodie?

Answer:

We have the proportion: 8/10 = 100/y

We can solve for y by cross-multiplying.

That is, 8y = 100 * 10 Simplifying the right-hand side, 8y = 1000

Dividing both sides by 8 to solve for y, y = 125

Hence, the value of y is 125.

Finally, we have the expression: y = √80We can simplify this expression by factoring 80 into its prime factors:80 = 2 * 2 * 2 * 2 * 5

Taking the square root of 2 * 2 * 2 * 2, we have:√(2 * 2 * 2 * 2) = 2 * 2 = 4

Therefore, y = 4√5The value of y is 4√5.

Step-by-step explanation:

Hope this helps!! Have a good day/night!!

The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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Therefore the interquartile range of the Juvinile Whale is greater than that of the Adult Whale

Option D

The probability that a compact car's randomly chosen mpg would be higher than 30 is 0.797.

Given data;

A certain compact car's mpg (miles per gallon) has a mean of 31 and a standard deviation of 1.2 and is regularly distributed.

We need to get the probability that the mpg for a randomly selected compact car would be more than 30.

Therefore;

Mean = μ = 31

Standard deviation = σ = 1.2

Let;

P(X > 30) = P(X - 31/1.2 > 30 - 31/1.2)

               = P(Z > -0.833)

               = 0.797

Hence, the probability that the mpg for a randomly selected compact car would be more than 30 is 0.797.

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The original price of the chair was £636.

To calculate the original price of the chair, we can use the formula:

where the discount rate is expressed as a decimal. In this case, the sale price is £540.60 and the discount rate is 15%, or 0.15 as a decimal.

So, plugging in the numbers we get:

Therefore, the original price of the chair was £636.

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Answer:

  (x, y) = (-2, 7), (0, -1), (3, -13), (-1, 3)

Step-by-step explanation:

To fill in the y-values, you need to put the x-value in the equation and evaluate.

for x=0

  y = -4(0) -1 = -1

for x=-1

  y = -4(-1) -1 = 4 -1 = 3

__

To fill in the x-values, we can solve for x and then do as we did above.

  y = -4x -1

  y +1 = -4x . . . . add 1

  -(y +1)/4 = x . . . divide by -4

for y=7

  x = -(7 +1)/4 = -2

for y=-13

  x = -(-13+1)/4 = -(-12/4) = 3

__

Then the table is ...

  \(\boxed{\begin{array}{cc}x&g(x)\\-2&7\\0&-1\\3&-13\\-1&3\end{array}}\)

Step-by-step explanation:

127? I hope this is right!

Answer:

Thank you <3

about 15 thanks on your profile

Step-by-step explanation:

112 questions

127 thanks total

Average of 1 thank on each questions

that means 112 questions have 1 thank each

So 112 thanks

subtract the total thanks from the question thanks

127 - 112

15

You have received around 15 thanks on your profile, as its an average of 1 thank on each question which means it could always be more or less.

Answer:

they sold 210 hot chocolates and 85 coffees

Step-by-step explanation:

We know that they sold $200 worth of drinks

x will be the number of hot chocolates sold

y will be the number of coffees sold

This means that

.75x+.5y=200

We also know that they sold 295 total drinks which means that

x+y=295

This is a system of linear equations which I will solve through substitution

x+y=295

Subtract y from both sides and divide by -1 to get

-x+295=y

Plug y into the first equation and get

.75x+.5(-x+295)=200

Distribute the .5 and simplify to get

.75x-.5x+147.5

.25x+147.5=200

Subtract 147.5 and then divide by .25 to get our x value

x=210

Now we can go back and plug this in into our equation

210+y=295

Subtract 210 to get y

y=85

This means that they sold 210 hot chocolates and 85 coffees

Answer:

3/4 x 12/1= 9

Step-by-step explanation:

I answered this earlier but it deleted it.

So you would put the 12 over one to make it a fraction and multiply straight across

A. The probability that all three marbles drawn are red is 7/24.

B. The probability that all three marbles drawn are white is 1/120.

C.  The probability that the first two marbles drawn are red and the third marble is white is 7/40.

D. The probability of drawing at least one red marble is 119/120.

A) To find the probability that all three marbles drawn are red, we need to consider the probability of each event occurring one after the other. The probability of drawing a red marble on the first draw is 7/10 since there are 7 red marbles out of a total of 10 marbles. After the first red marble is drawn, there are 6 red marbles left out of a total of 9 marbles. Therefore, the probability of drawing a red marble on the second draw is 6/9. Similarly, on the third draw, the probability of drawing a red marble is 5/8.

Using the rule of independent probabilities, we can multiply these probabilities together to find the probability that all three marbles drawn are red:

P(all red) = (7/10) * (6/9) * (5/8) = 7/24

Therefore, the probability that all three marbles drawn are red is 7/24.

B) Since there are 3 white marbles in the bag, the probability of drawing a white marble on the first draw is 3/10. After the first white marble is drawn, there are 2 white marbles left out of a total of 9 marbles. Therefore, the probability of drawing a white marble on the second draw is 2/9. Similarly, on the third draw, the probability of drawing a white marble is 1/8.

Using the rule of independent probabilities, we can multiply these probabilities together to find the probability that all three marbles drawn are white:

P(all white) = (3/10) * (2/9) * (1/8) = 1/120

Therefore, the probability that all three marbles drawn are white is 1/120.

C) To find the probability that the first two marbles drawn are red and the third marble is white, we can multiply the probabilities of each event occurring. The probability of drawing a red marble on the first draw is 7/10. After the first red marble is drawn, there are 6 red marbles left out of a total of 9 marbles. Therefore, the probability of drawing a red marble on the second draw is 6/9. Lastly, after two red marbles are drawn, there are 3 white marbles left out of a total of 8 marbles. Therefore, the probability of drawing a white marble on the third draw is 3/8.

Using the rule of independent probabilities, we can multiply these probabilities together:

P(first two red and third white) = (7/10) * (6/9) * (3/8) = 7/40

Therefore, the probability that the first two marbles drawn are red and the third marble is white is 7/40.

D) To find the probability of drawing at least one red marble, we can calculate the complement of drawing no red marbles. The probability of drawing no red marbles is the same as drawing all three marbles to be white, which we found to be 1/120.

Therefore, the probability of drawing at least one red marble is 1 - 1/120 = 119/120.

Therefore, the probability of drawing at least one red marble is 119/120.

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All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

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Answer:

Secθ = 11 / 9.22 or sec33°

Sinθ = 6 / 11 or Sin33°

Tanθ = 6 / 9.22 or Tan33°

θ = 33°

Step-by-step explanation:

Given:

Hypotenuse = 11 unit

Perpendicular = 6 unit

Find:

Secθ

Sinθ

Tanθ

Computation:

Base = √Hypotenuse² - Perpendicular²

Base = √11² - 6²

Base = √121 - 36

Base = √85

Base = 9.22 unit (Approx.)

Secθ = Hypotenuse / Base

Secθ = 11 / 9.22 or sec33°

Sinθ = Perpendicular / Hypotenuse

Sinθ = 6 / 11 or Sin33°

Tanθ = Perpendicular / Base

Tanθ = 6 / 9.22 or Tan33°

So value of θ = 33°

Answer:

1.5hours

Step-by-step explanation:

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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The required population density of Florida is approximately 331.2 people per square mile.

Population density is defined as the number of individuals per unit area. In this case, we want to find the population density of Florida, which is the number of people per square mile. To do this, we can divide the total population of Florida by the total area of the state

We have;

Population = 21, 780, 000

Total area = 65, 758 square miles

Then,Population density is

Population density of Florida = Total population / Total area

Population density of Florida = 21,780,000 / 65,758

Population density of Florida ≈ 331.2 people per square mile

Therefore, the population density of Florida is approximately 331.2 people per square mile.

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B $330

Step-by-step explanation:

My quiz said it was b

Answer:

x=-1/2 decimal form -0.5

Step-by-step explanation:

Multiply -2 and 1 then divide by 4,-2/4. x = −1 /2

Therefore, In the figure, a∥b  angle m∠7 = 34° .

An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.

Here,

Given that a and b are parallel lines,

∠3 and ∠7  are corresponding angles and congruent

m∠3 = 34°

thus ,m∠7 =m∠3 = 34°

so, m∠7 = 34°

Therefore, In the figure, a∥b  m∠7 = 34° .

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Answer: No, because they are not the same in slope - intercept form

Step-by-step explanation:

    First, we will distribute and simplify into slope-intercept form.

   Equation 1:

y - 3 = 4(x - 2)

y = 4(x - 2) + 3

y = 4x - 8 + 3

y = 4x - 5

   Equation 2:

y + 2 = 4(x + 7)

y = 4(x + 7) - 2

y = 4x + 28 - 2

y = 4x + 26

      We see that the answer to this question is "No, because they are not the same in slope - intercept form" as they have different y-intercepts, one being -5 and one being 26.

Answer:

the area of the triangle is 35.

Step-by-step explanation:

First you use the formula of the area of a triangle. A = 1/2bh. You plug the base and height in; A = 1/2(10)(7).  You multiply these numbers and get 35 as the area.

The answers for questions G, H, K, and L are the same as questions C, D, K, and L, respectively, because the speed (65mi/h) remains constant.

A. 65 miles in one hour: If a car is traveling at 65 miles per hour (mi/h), then in one hour it will travel 65 miles.

B. 340,800 feet in one hour, 65 miles is equal to 5,280 x 65 = 340,800 feet.

C. 5,680 feet in one minute, 340,800 feet ÷ 60 = 5,680 feet in one minute.

D. 94.67 feet in one second, 5,680 feet ÷ 60 = 94.67 feet in one second.

E. 42 miles in one hour: If a car is traveling at 42 miles per hour, then in one hour it will travel 42 miles.

F. 221,760 feet in one hour, 42 miles is equal to 5,280 x 42 = 221,760 feet.

G. 5,680 feet in one minute.

H. 94.67 feet in one second.

I. x miles in one hour.

J. 5,280 x x feet in one hour:

K. (5,280 x x) ÷ 60 feet in one minute.

L. ((5,280 x x) ÷ 60) ÷ 60 feet in one second.

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There are 5,280 feet in a mile. Round answers to the nearest unit.

A. How many miles does a car traveling at 65mi/h go in one hour?

B. How many feet does a car traveling at 65mi/h go in one hour?

C. How many feet does a car traveling at 65mi/h go in one minute?

D. How many feet does a car traveling at 65mi/h go in one second?

E. How many miles does a car traveling at 42mi/h go in one hour?

F. How many feet does a car traveling at 42mi/h go in one hour?

G. How many feet does a car traveling at 65mi/h go in one minute?

H. How many feet does a car traveling at 65mi/h go in one second?

i. How many miles does a car traveling at x mi/h go in one hour?

J. How many feet does a car traveling at x mi/h go in one hour?

K. How many feet does a car traveling at x mi/h go in one minute?

L. How many feet does a car traveling at x mi/h go in one second?

Answer:

40 minutes

Step-by-step explanation:

rate = distance/time = miles/hr

rate = 240 mi/2 hr = 120 mi/hr

time = distance / rate = (80 mi)/(120 mi/hr) = 0.67 hr = 40 minutes

(0.67 hr)(60 min/hr) = 40 minutes

Answer:
The length of the rectangle is 80 cm.

What is circumference ?
Circumference is the distance around the edge of a circle. It is the total length of the boundary of a circle. In other words, it is the perimeter of the circle.

\(C=2\pi r\)
where r is the radius of the circle

Step-by-step explanation:
Let's start by using the given information about the wire and the circle. The circumference of a circle is given by the formula:

C=2πr
where C is the circumference and r is the radius of the circle.
We are given that the circumference of the circle made by the wire is 176 cm, so we can write:

176 = 2πr

Simplifying this equation, we get:

r = 88/π

Now, when the wire is cut and made into a rectangle, the length of the wire is equal to the perimeter of the rectangle. The perimeter of a rectangle is given by the formula:

P = 2(l + b)

where P is the perimeter, l is the length, and b is the breadth of the rectangle.

We are given that the breadth of the rectangle is 8 cm, so we can write:

P = 2(l + 8)

But we also know that the length of the wire is equal to the circumference of the circle, which we found to be 176 cm. So we can write:

P = 176

Substituting this into the previous equation, we get:

176 = 2(l + 8)

Simplifying this equation, we get:

l + 8 = 88

l = 80

Therefore, the length of the rectangle is 80 cm.

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If I offered to bet you a tasty beverage that I could toss a coin ten times and produce a sequence of heads and tails that has less than a 1 in 1000 chance of occurring, your chances of winning the bet is 0.99902.

If the coin is fair, the likelihood of getting a head or a tail in a coin toss is equal.

P(H) = P(T)

P(H) = 0.5

The coin has now been tossed ten times.

The probability of receiving 10 heads or 10 tails is binomial and equal.

P(X=10) = \(^{10}\textrm{C}_{10}\) · (0.5)¹⁰ · (1-0.5)⁰

P(X=10) = \(\frac{10!}{10!(10-10)!}\) · 0.00098 · (0.5)⁰

P(X=10) = \(\frac{10!}{10!0!}\) · 0.00098 · 1

P(X=10) = 0.00098

P(X=10) = 0.00098

You win the bet if the dealer does not now deliver a string of 10 heads.

As a result, your chances of winning the wager are 1 - 0.00098 = 0.99902. This is quite high, thus you ought to accept the wager.

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The problem presents a choice between receiving $22,000 in 20 years or $820 today. We are asked to determine the present value of $22,000 using a discount rate of 18 percent and determine which offer is more favorable. It would be more advantageous to choose the $820 offer today rather than waiting for $22,000 in 20 years

a-1. To calculate the present value of $22,000, we can use the formula for present value (PV) which is given by PV = FV / (1 + r)^n, where FV is the future value, r is the discount rate, and n is the number of periods. Plugging in the values, we have PV = $22,000 / (1 + 0.18)^20. Evaluating this expression, we find the present value to be approximately $1,779.82.

a-2. Comparing the present value of $22,000 ($1,779.82) to the immediate offer of $820, we can see that the present value is significantly lower. Therefore, based on financial calculations, it would be more advantageous to choose the $820 offer today rather than waiting for $22,000 in 20 years.

Note: It is important to consider that financial decisions may involve various factors and considerations beyond the scope of this analysis, such as individual financial goals, risk tolerance, and alternative investment opportunities.

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The correct statement is:

It is given that:

A membership committee of three is formed from four eligible members.

1) There are four ways to choose the committee.

This statement is true.

Since we have to choose 3 members out of the 4 members so we can use the method of combination.

2) There are three ways to form the committee if person D must be on it.

This statement is also true.

Since D has to be in the committee, this means we have to choose 2 more people out of the three people to form the committee.

3) If seven members are eligible next year, then there will be fewer combinations.

This statement is wrong.

Since we have to choose 3 members out of 7 members so the number of possible combinations will be:

There are 35 combinations possible.

4) If persons B and C must be on the committee, there are two ways to form the committee.

If B and C have to be in the committee then we have to choose just one person out of the two people left.

Hence, the statement is true.

5) If persons A and C must be on the committee, then there is only one way to form the committee.

If A and C have to be on the committee then as in the last option we have to choose any one of the two-person left.

So possible number of ways is 2.

Hence, the statement is false.

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Your question is incomplete. Please read below to find the missing content.

A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D. The possible outcomes include S = {ABC, ABD, ACD, BCD}.

Which statements about the situation are true? Check all that apply.

There are four ways to choose the committee.

There are three ways to form the committee if person D must be on it.

If seven members are eligible next year, then there will be fewer combinations.

If persons B and C must be on the committee, there are two ways to form the committee.

If persons A and C must be on the committee, then there is only one way to form the committee.

Answer:

225 is a greatest perfect square that is a factor of 4725 .54 views

The answer of the given question based on the code is , the output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

MATLAB code:
To show that `x³ + 2x - 2` has a root between 0 and 1 and,

to find the root to 3 significant digits using the Newton Raphson Method,

we can use the following MATLAB code:  

Defining the function

f = (x)x³ + 2*x - 2;

Plotting the function

f_plot (f, [0, 1]);

grid on;

Defining the derivative of the function

f_prime = (x)3*x² + 2;

Implementing the Newton Raphson Method x0 = 1;

Initial guesstol = 1e-4;

Tolerance for erroriter = 0; % Iteration counter_while (1)

Run the loop until the root is founditer = iter + 1;

x1 = x0 - f(x0)

f_prime(x0);

Calculate the next guesserr = abs(x1 - x0);

Calculate the error if err < tol

Check if the error is less than the tolerancebreak;

else x0 = x1;

Set the next guess as the current guessendend

Displaying the resultfprintf('The root of x³ + 2x - 2 between 0 and 1 is %0.3f\n', x1));

The output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

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When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

MATLAB code:

Show that x^3 + 2x - 2 has a root between 0 and 1:

Here is the code to show that x^3 + 2x - 2 has a root between 0 and 1.

x = 0:.1:1;y = x.^3+2*x-2;

plot(x,y);

xlabel('x');

ylabel('y');

title('Plot of x^3 + 2x - 2');grid on;

This will display the plot of x^3 + 2x - 2 from x = 0 to x = 1.

Find the root to 3 significant digits using the Newton Raphson Method:

To find the root of x^3 + 2x - 2 to 3 significant digits using the Newton Raphson Method, use the following code:

format longx = 0;fx = x^3 + 2*x - 2;dfdx = 3*x^2 + 2;

ea = 100;

es = 0.5*(10^(2-3));

while (ea > es)x1 = x - (fx/dfdx);

fx1 = x1^3 + 2*x1 - 2;

ea = abs((x1-x)/x1)*100;

x = x1;fx = fx1;

dfdx = 3*x^2 + 2;

enddisp(x)

When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

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He coined a term from the two ancient Greek terms logos, meaning proportion, and Arithmos, meaning number; compounding them to produce the word “logarithm.

An exponential equation is an equation in which the variable appears in an exponent.

A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.

To solve exponential equations, first see whether you can write both sides of the equation as powers of the same number.

Divide each term in

log(2)x=2

by log(2).

log(2) x log(2)=2log(2)

Simplify the left side.

Cancel the common factor of

log(2).

x=2log(2)

The result can be shown in multiple forms.

Exact Form:

x=2log(2)

Decimal Form:

x=6.6438561

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