Keri is making doll clothes for a holiday craft show. The wholesale cost of the materials for one hour of it is $9. 38. If the if she sells an outfit for $15 what is the percent of the markup

Answer: A

Step-by-step explanation:

You can prove it by Pythagorean's Theorem, a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

It has to be a right triangle.

Answer:

See below.

Step-by-step explanation:

I'm sure the question is asking to solve for ∠BDC, but we'll solve for all of the angles.

We should note that we have a Given Exterior Angle.

An Exterior Angle is an angle that is formed by extended lines.

An exterior angle is equal to the combined sum of the two nonadjacent, and interior angles.

Using what we learned, ∠BCD and ∠CDB will equal ∠DBE°.

Let's turn this problem into an equation.

60° + ∠BDC = 120°
Subtract 60 from both sides.

∠BDC = 60°.

We can also identify that ∠CBD is a linear pair with ∠DBE.

A Linear Pair is 2 adjacent angles that add up to 180°. Linear Pairs are straight lines with one line intersecting in between.

Meaning that ∠CBD + ∠DBE = 180°.

∠CBD + 120° = 180°.

∠CBD = 60°.

We can identify that this triangle is an Equilateral Triangle. An Equilateral  Triangles is a triangle that has all congruent sides and angles.

Our final answers are;

∠BDC = 60°.

∠CBD = 60°.

After evaluating using the correct order of operations, the result will become 22/9.

The correct order of operations is to perform any calculations inside parentheses first, then exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right. This order of operations is known as PEMDAS. Using this order, we can evaluate the expression as follows:

(17)/(18) + (6)/(35) ÷ (5)/(7) x (25)/(4)

Divide 6/35 by 5/7 by multiplying 6/35 by the reciprocal of 5/7.
= (17/18) + (6/35) x (7/5) x (25/4)
= (17/18) + (6/25) x (25/4)

Multiply 6/25 by 25/4.
= (17/18) + (6/4)

Finally, add 17/18 and 6/4 together.
= 22/9

Therefore, the final answer is 22/9,

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Answer:

232.5 units²

Step-by-step explanation:

Answer:

Thanks :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

to the rieft

The areas of section 1, 2 and 3 are  8 inches square, 80 inches square and 8 inches square respectively.

The area of the trapezium is 96 inches square.

Section 1 and 2 are right triangles.

Area of a right triangle = 1/2 x base x height

Height = 8cm

Base = (14 - 10) / 2 = 2cm

Area of a right triangle = 1/2 x 2 x 8 = 8cm²

Section 3 is a rectangle.

Area of a rectangle = length x width

8 x 10 = 80 cm²

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Area of a trapezoid =   1/2 x (sum of the lengths of the parallel sides) x height

= 1/2 x (10 + 14) x 8

1/2 x 24 x 8 = 96cm²

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Julia will finish the upcoming 6.2-mile race first among her friends, beating the second-place finisher by 5 minutes and 42 seconds.  

Distance is the measure of how far apart two objects or points are. It is expressed in terms of length, area, volume, or time. It is a numerical measurement of how much space is between two points or objects. Distance can also be used to measure the length of a journey, or to measure the speed of an object moving over a certain period of time.

To calculate this, we can look at the table and compare the times of the last race each of them ran. Julia ran a 5-mile race in 32 minutes and 45 seconds, her first friend ran a 4-mile race in 28 minutes and 20 seconds, and her second friend ran a 4-mile race in 29 minutes and 15 seconds.

To calculate the time difference between Julia and the second-place finisher, we can compare the total time they would run the 6.2-mile race. Julia would run the 6.2 miles in 40 minutes and 45 seconds (32 minutes and 45 seconds for the 5-mile race plus 8 minutes for the additional 1.2 miles) and the second-place finisher would run the 6.2 miles in 41 minutes and 35 seconds (29 minutes and 15 seconds for the 4-mile race plus 12 minutes and 20 seconds for the additional 2.2 miles). The difference between the two times is 5 minutes and 42 seconds, so Julia would finish first and beat the second-place finisher by 5 minutes and 42 seconds.

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After comparing the image and the figure, we found that the direction and angle of rotation are 180° counterclockwise rotation.

A transformation known as a rotation involves turning the figure either clockwise or counterclockwise. The centre of rotation is the fixed location where the rotation occurs. The term "angle of rotation" refers to the amount of rotation. A figure can be rotated 90 degrees, or a quarter turn, in either a clockwise or counterclockwise direction.

You have rotated the figure 180 degrees when you have spun it exactly halfway. The figurine may be rotated 360° by turning it all the way around. A counterclockwise turn has a positive magnitude because a clockwise rotation indicates a negative magnitude. Rotational symmetry exists in every regular polygon. When an object is rotated around its centre, it retains its original appearance. The object is then referred regarded as having rotational symmetry.

Let's write the coordinates of the original figure,

A = (1, -5)

B = (6, -2)

C = (6, -5)

D = (1, -8)

Now, if we rotate it 90 degrees counterclockwise, the coordinates are:

A' = ( 5, 1)

B' = (2, 6)

C' = (5, 6)

D' = (8, 1)

Now if we rotate it again 90 degrees counterclockwise, the coordinates are:

A'' = ( -1, 5)

B'' = (-6, 2)

C'' = (-6, 5)

D'' = (-1, 8)

Now from the figure, let's write the coordinates.

A' = ( -1, 5)

B' =  (-6, 2)

C' = (-6, 5)

D' =  (-1, 8)

This is the same as the coordinates of the second 90 degrees counterclockwise rotation.

Since we did two 90 degrees rotations, we can say we did a total of 180° counterclockwise rotation.

Therefore after comparing the image and the figure, we found that the direction and angle of rotation are 180° counterclockwise rotation.

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A graph that represents the following ellipse (x + 1)²/16 + (y - 3)²/36 = 1 is: C. graph C.

Mathematically, the standard form of the equation of an ellipse is given by mathematical expression:

x²/a² + y²/b² = 1  

Where;

This ultimately implies that, the major axis of this ellipse is the x-axis. By critically observing the graph (see attachment), we can logically deduce the following values:

a = √16 = 4.

b = √36 = 6.

In conclusion, the standard form of the equation of this ellipse is given by (x + 1)²/16 + (y - 3)²/36 = 1.

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To create a Pandas crosstab to compare the number of players in each position by foot, we first need to import the pandas library and then use the `pd.crosstab()` function with the appropriate parameters.

We can set `normalize='all'` to view the data as a percent of the total and `margins=True` to include row and column totals. Here's how we can do it:

```python
import pandas as pd

# Create a crosstab with the desired parameters
crosstab = pd.crosstab(df['Position'], df['Foot'], normalize='all', margins=True)

# Print the crosstab
print(crosstab)
```

To find the combination of footedness and position that is the rarest in our data, we can use the `idxmin()` function to find the index of the minimum value in the crosstab. Here's how we can do it:

```python
# Find the index of the minimum value in the crosstab
min_index = crosstab.idxmin()

# Print the combination of footedness and position that is rare
print('The most rare combination of footedness and position is', min_index)
```

The output of this code will show the combination of footedness and position that is the rarest in our data.

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Answer:

Let x = the price of one shirt

Since he bought 3 shirts, he will pay three times the amount. Also, there is a discount. With the discount, the total cost is $63.

We can set up an equation to represent this scenario. Assuming we have a 30% discount as David said

3(x - 0.3x) = 63

Just so you understand, (x - 0.30x) is the sales price for one shirt. We apply this discount price 3 times because the discount is added for each shirt.

Solve for x from this equation to get the price for one shirt.

3(0.70x) = 63

2.1x = 63

x = 30

The inverse of the statement is if two angles are vertical, then they are congruent

The statement from the question is:

if two angles are not vertical, then they are not congruent

Given a statement

If a then b

The inverse of the statement is

If not a then not b

To write the inverse statement using the above rule, we have the following statement

The inverse of the given statement is if two angles are vertical, then they are congruent

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a) The transition probability matrix of the Markov chain is:

| 0.2 0.7 0.1 0 |

| 0.1 0.4 0.5 0 |

| 0.333 0 0.333 0.333 |

| 1-p  0       0    p   |

b) The proportion of old trees that will be in old state after 12 years is 0.613.

c) If a forest starts with all young trees and p = 0.8, the proportion of the trees in the forest that will be old after 18 years is 0.413.

a) The transition probability matrix of the Markov chain is given by:

| Young | Medium | Large | Old |
|-------|--------|-------|-----|
| 0.2   | 0.7    | 0.1   | 0   |
| 0.1   | 0.4    | 0.5   | 0   |
| 0.333 | 0      | 0.333 | 0.333|
| 1-p   | 0      | 0     | p   |

b) The proportion of old trees that will be in old state after 12 years can be found by multiplying the transition probability matrix by itself twice (since each period is 6 years and we want to find the proportion after 12 years).

The resulting matrix will give the probabilities of each state after 12 years. The proportion of old trees that will be in old state after 12 years is given by the element in the fourth row and fourth column of the resulting matrix.

| Young | Medium | Large | Old |
|-------|--------|-------|-----|
| 0.2   | 0.7    | 0.1   | 0   |
| 0.1   | 0.4    | 0.5   | 0   |
| 0.333 | 0      | 0.333 | 0.333|
| 1-p   | 0      | 0     | p   |

| Young | Medium | Large | Old |
|-------|--------|-------|-----|
| 0.2   | 0.7    | 0.1   | 0   |
| 0.1   | 0.4    | 0.5   | 0   |
| 0.333 | 0      | 0.333 | 0.333|
| 1-p   | 0      | 0     | p   |

| Young | Medium | Large | Old |
|-------|--------|-------|-----|
| 0.293 | 0.49   | 0.293 | 0.123|
| 0.207 | 0.35   | 0.357 | 0.086|
| 0.311 | 0.233  | 0.311 | 0.311|
| 0.407 | 0.14   | 0.14  | 0.613|

The proportion of old trees that will be in old state after 12 years is 0.613.

c) If the forest starts with all young trees, the initial state vector is [1, 0, 0, 0]. To find the proportion of the trees in the forest that will be old after 18 years, we need to multiply the initial state vector by the transition probability matrix three times (since each period is 6 years and we want to find the proportion after 18 years).

The resulting vector will give the probabilities of each state after 18 years. The proportion of the trees in the forest that will be old after 18 years is given by the fourth element of the resulting vector.

| Young | Medium | Large | Old |
|-------|--------|-------|-----|
| 0.2   | 0.7    | 0.1   | 0   |
| 0.1   | 0.4    | 0.5   | 0   |
| 0.333 | 0      | 0.333 | 0.333|
| 1-p   | 0      | 0     | p   |

| Young | Medium | Large | Old |
|-------|--------|-------|-----|
| 0.2   | 0.7    | 0.1   | 0   |
| 0.1   | 0.4    | 0.5   | 0   |
| 0.333 | 0      | 0.333 | 0.333|
| 1-p   | 0      | 0     | p   |

| Young | Medium | Large | Old |
|-------|--------|-------|-----|
| 0.2   | 0.7    | 0.1   | 0   |
| 0.1   | 0.4    | 0.5   | 0   |
| 0.333 | 0      | 0.333 | 0.333|
| 1-p   | 0      | 0     | p   |

| Young | Medium | Large | Old |
|-------|--------|-------|-----|
| 0.407 | 0.49   | 0.293 | 0.123|
| 0.311 | 0.35   | 0.357 | 0.086|
| 0.407 | 0.233  | 0.311 | 0.311|
| 0.607 | 0.14   | 0.14  | 0.413|

The proportion of the trees in the forest that will be old after 18 years is 0.413.

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a) U is subspace of R^3.

b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) 2.

a) To show that U is a subspace of R^3, we need to verify the following three conditions:

i) The zero vector (0, 0, 0) is in U.

ii) U is closed under addition.

iii) U is closed under scalar multiplication.

i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.

ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:

x1 + 2y1 - 3z1 = 0 (by definition of U)

x2 + 2y2 - 3z2 = 0 (by definition of U)

Adding these two equations, we get:

(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0

which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.

iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:

x + 2y - 3z = 0 (by definition of U)

Multiplying both sides of this equation by c, we get:

cx + 2cy - 3cz = 0

which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of R^3.

b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:

x = 3z - 2y

y = (x - 3z)/2

Substituting z = t into these equations, we get:

x = 3t - 2y

y = (x - 3t)/2

Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:

(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)

Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) Since the basis for U has two elements, the dimension of U is 2.

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The solutions in radian units are:
Ω = 0.928, 2.213, 4.070, 5.355
The solutions should be entered as a comma-separated list:
Ω = 0.928, 2.213, 4.070, 5.355

The equation cos(Ω) = -cos(2Ω) can be solved by using the double angle formula for cosine. The double angle formula for cosine is cos(2Ω) = 1 - 2sin^2(Ω).

Substituting the double angle formula into the original equation gives:
cos(Ω) = - (1 - 2sin^2(Ω))

Rearranging the equation gives:
2sin^2(Ω) = 1 + cos(Ω)

Squaring both sides of the equation gives:
4sin^4(Ω) - 4sin^2(Ω) - cos^2(Ω) = 0

Using the identity cos^2(Ω) = 1 - sin^2(Ω) gives:
4sin^4(Ω) - 4sin^2(Ω) - (1 - sin^2(Ω)) = 0

Simplifying the equation gives:
4sin^4(Ω) - 3sin^2(Ω) - 1 = 0

Using the quadratic formula gives:
sin^2(Ω) = (3 ± √(9 + 16))/8

Solving for sin(Ω) gives:
sin(Ω) = ±√(7/8)

Taking the inverse sine of both sides gives:
Ω = sin^-1(±√(7/8))

The solutions in radian units are:
Ω = 0.928, 2.213, 4.070, 5.355

The solutions should be entered as a comma-separated list:
Ω = 0.928, 2.213, 4.070, 5.355

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The equilibrium quantity line (at the pοint 3 οn the quantity axis) is knοwn as the ‘surplus’.

Equilibrium price is the price at which the supply and demand οf a gοοd οr service are equal. This means that the quantity οf gοοds being supplied tο the market is equal tο the quantity οf gοοds being demanded by the market.

The area οf shοrtage indicates the quantity οf milk demanded by cοnsumers that is greater than the quantity οf milk supplied by prοducers in the market. The area οf surplus indicates the quantity οf milk supplied by prοducers that is greater than the quantity οf milk demanded by cοnsumers in the market. The intersectiοn οf the equilibrium price and the equilibrium quantity lines indicates the market price and quantity at which the demand fοr milk is equal tο the supply οf milk in the market.

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Formula explicitly = n² + 2 n, where n is a full number and the first 5 numbers of the sequence would be 4, 8, 12, 20, and 24.

Let 4,8,12,20,24 be the sequence's first five terms.

Let me define the terms explicit formula and recursive formula.

The generic formula to find any term in a series is known as the explicit formula.

Also, if we know the (n-1)th term of the series, we can use the recursive formula to find the nth term.

Thus, the sequence's explicit formula is,

Y equals 4 n, where n is any positive integer.

And this is the recursive formula.

Y = 4 (n-1), and we can find the nth term by using the (n-1)th term.

Initial term = 4 = 4 1

Term two = 8 = 4 2

Term three =12=43

Fourteenth term = 16 = 4 4

.....................

...........................

.................................

(n-1) th term =4 × (n-1)

nth term =4 × n

The universal and recursive formula is obtained by applying the straightforward technique of examining the first, second, and direction of the next term.

You stated that you did not desire a simpler sequence.

Think about the sequence's first five terms: 0, 3,8, 15, and 24.

Well stated formula =n2 + 2 n

Recursive equation: (n-1)

²+2(n-1)

If you examine the sequence, neither geometry nor arithmetic applies.

First term =0=0²+0×0

Second term =3=1+2=1²+2 × 1

Third term =8=4+4=2²+2×2

Fourth term =15=9+6=3²+2×3

Fifth term =24=16 +8=4²+2×4

In the explicit formula, n is a whole number and n²+2n.

Therefore, the formula explicitly = n² + 2 n, where n is a full number and the first 5 numbers of the sequence would be 4, 8, 12, 20, and 24.

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The values of the variables in the kite are:

x = 50°

y = 58°

z = 32°

Since a kite is symmetrical. Thus, it has two opposite and equal angles

Also, the line of symmetry divides the kite angle into equal angles and similar triangles. We have:

In ΔABO:

x + 90° + 40° = 180° (angle sum in a triangle)

x + 130 = 180

x = 180 - 130

x = 50°

In ΔBCO:

y + 90° + 32° = 180° (angle sum in a triangle)

y = 180 - 122

y = 58°

In ΔCDO:

z = 32°  (congruent triangles)

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The argument for the dilation is that: No, in order for one figure to be dilated of another, both coordinates of all points must be multiplied by the same constant

The complete question is added as an attachment

From the attached table of values, we can see that:

The coordinates of x are multiplied by 3, while the coordinates of y are multiplied by 6

This means that

The figure is not properly dilated, because these coordinates must be multiplied by the same constant value

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It takes approximately0.082 seconds for the eraser to hit the student in the head.

The equation that models the flight of the eraser is h(t)=-16t^(2)+35t+6. We need to find the time it takes for the eraser to hit the student's head, which is 3 feet off the ground. This means that we need to solve the equation h(t)=3 for t.

First, we will set h(t) equal to 3 and rearrange the equation:

-16t^(2)+35t+6=3

Next, we will subtract 3 from both sides of the equation and simplify:
-16t^(2)+35t+3=0

Now, we will use the quadratic formula to solve for t:
t= (-35±√(35^(2)-4(-16)(3)))/(2(-16))

Simplifying further, we get:
t= (-35±√(1417))/(-32)

Using a calculator, we can find the approximate values of t:
t≈0.082 or t≈2.27

Since we are looking for the time it takes for the eraser to hit the student's head, we will choose the larger value of t, which is 0.082.

Therefore, it takes approximately0.082 seconds for the eraser to hit the student in the head.

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Check the picture below.

we have three sides, let's look at the two smaller sides first, 1.9 and 2.7.

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side?  Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 2.7 - 1.9 = 0.8.  However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle.  So whatever the third side may be, it must be greater than 0.8.

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 1.9 + 2.7 = 4.6.  However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle.  So whatever the third side may be, it must be less than 4.6, it can't be 4.6.

So no dice.

The answer is (5h+18)/(14).

To work out (h+4)/(2)-(h+5)/(7) and give the answer as a single fraction in its simplest form, we will need to find a common denominator and then subtract the numerators.

Step 1: Find a common denominator. The common denominator of 2 and 7 is 14.
Step 2: Multiply the numerator and denominator of the first fraction by 7 to get (7h+28)/(14).
Step 3: Multiply the numerator and denominator of the second fraction by 2 to get (2h+10)/(14).
Step 4: Subtract the numerators: (7h+28)-(2h+10) = 5h+18.
Step 5: Place the difference over the common denominator: (5h+18)/(14).
Step 6: Simplify the fraction if possible. In this case, the fraction cannot be simplified further.

Therefore, the answer is (5h+18)/(14).

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The correct answer is (i) and (ii). Both of the sets are subspaces of R3 because they satisfy the three criteria of a subspace. The first set, {(x,y,z)| z = (x+y)2}, is a set of all triplets (x,y,z) such that z = (x+y)2. The second set, {(x,y,z)| x=10z}, is a set of all triplets (x,y,z) such that x = 10z. Neither of the other choices are correct.

To find out how many stamps Sierra and her brother each collected, we need to set up an equation and solve for the unknown variable.

Let's use "x" to represent the number of stamps that Sierra's brother collected.
According to the question, Sierra collected 3 times as many stamps as her brother. So, we can represent Sierra's number of stamps as 3x.
The total number of stamps that they collected together is 144, so we can set up the following equation:
x + 3x = 144
Now we need to solve for "x" to find out how many stamps Sierra's brother collected.
First, we'll combine like terms on the left side of the equation:
4x = 144
Next, we'll divide both sides of the equation by 4 to isolate the variable:
x = 36
So, Sierra's brother collected 36 stamps.

To find out how many stamps Sierra collected, we can plug this value back into the equation for Sierra's number of stamps:
3x = 3(36) = 108
So, Sierra collected 108 stamps.

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solution

1531-1400=113

decrease/original ×100

113/1513×100

7.46

round off to 7.5

The 90% confidence interval for the mean test score of the students is (81.06, 83.74), which means that we can be 90% confident that the true mean test score of the population is between 81.06 and 83.74.

a) What is the sample? (5 points)

The sample is the set of A students sitting in the front row who stated their latest test scores.

b) What is the population? (5 points)

The population is the entire class of 105 students who took the test.

c) What is the variable of interest? (5 points)

The variable of interest is the mean test score of the students.

d) Do you think that the sample is representative of the population? Can you generalize the result that you get from the sample to the population? Why? Why not? Discuss (5 points).

The sample may or may not be representative of the population. It is difficult to say for certain without knowing the overall distribution of test scores for the population. If the sample is randomly selected and the distribution of the sample is similar to the distribution of the population, then the results from the sample can be generalized to the population. However, if the sample is not randomly selected, then the results may not be reliable for generalization to the population.

e) Suppose that the sample mean is 82.4 and assume that the test scores are normally with a population variance of 38.2. Construct a 90% confidence interval on the mean test score of the students i. Write the appropriate formula. (5 points)

The appropriate formula for a 90% confidence interval is:
Mean ± (1.645 * (Standard Error of the Mean))

ii. Find the necessary table value. (5 points)

The necessary table value is 1.645, which is the critical value associated with a 90% confidence interval.

iii. Substitute the quantities into your formula. (5 points)

Mean ± (1.645 * (Standard Error of the Mean))

82.4 ± (1.645 * (Standard Error of the Mean))

iv. Calculate the confidence interval. (10 points)

Standard Error of the Mean = (Population Variance/Sample Size)0.5

Standard Error of the Mean = (38.2/105)0.5

Standard Error of the Mean = 0.8244


Confidence Interval = 82.4 ± (1.645 * 0.8244)

Confidence Interval = 82.4 ± 1.34

Confidence Interval = (81.06, 83.74)

v. Interpret your interval. (5 points)

The 90% confidence interval for the mean test score of the students is (81.06, 83.74), which means that we can be 90% confident that the true mean test score of the population is between 81.06 and 83.74.

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Answer:

709

Step-by-step explanation:

473 + 236 = 709