A shop keeper buys a pair of shoes for birr 180 and sells it for birr 225 what is the percentage profit

Answer:

= 1?

Step-by-step explanation:

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

The sample size would be about 1,000.

acc to our question-

hence,The sample size would be about 1,000.

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Over the past 10 years, you have paid off $1,80,000 - $1,12,681 = $67,319 of the original loan.

This amount represents the reduction in the loan balance over the years. It is essential to consider that your monthly payments were not entirely directed towards the loan principal; a portion went towards paying interest charges. As a result, the loan balance was gradually reduced over time.

The interest on the loan accumulated each month, which affected the allocation of your payments. Initially, a significant portion of your payments likely went towards interest, with a smaller fraction reducing the principal balance. However, as time progressed, the interest portion decreased, and more of your payments started chipping away at the loan's principal.

It is crucial to recognize the impact of interest on loans, especially over extended periods. The difference between the current value of your house and the remaining loan balance illustrates the progress you have made in building equity over the years. As you continue making payments, the loan balance will further diminish, and your equity will continue to grow.

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Answer:

\( s = 14.1 \)

Step-by-step explanation:

Given:

<S = 31°

SQ = r = 9

SR = q = 21

s = ?

To find s, use the Law of Cosines:

s² = r² + q² - 2rs*cos(S)

\( s^2 = 9^2 + 21^2 - 2*9*21*cos(31) \)

\( s^2 = 81 + 441 - 378*0.8572 \)

\( s^2 = 522 - 324.02 \)

\( s^2 = 197.98 \)

\( s = 14.1 \) (nearest tenth)

Answer:

Point B and point G

Step-by-step explanation:

the second quadrant is above the x axis and left to y axis

Answer:

point B AND G

Step-by-step explanation:

THAT IS THE CORRECT ANSWER ABOVE

the second quadrant is located at the top left of the XY plane

The sales tax percentage is 10%.

What is a percentage?

A percentage is a way of expressing a proportion or a fraction as a number out of 100. It is often denoted with the symbol % (percent).

To find the sales tax percentage, we need to first find the amount of sales tax paid.

The amount paid with sales tax is $737, and the original price of the sculpture is $670. So the amount of sales tax paid is:

$737 - $670 = $67

To find the sales tax percentage, we divide the sales tax amount by the original price of the sculpture and then multiply by 100 to convert to a percentage:

($67 / $670) x 100% = 10%

Therefore, the sales tax percentage is 10%.

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A one-sample t-test was conducted to determine if the temperature increased in the first week of October 2019 compared to the average temperature from the previous 10 years. The result showed a p-value of 0.032, indicating a significant increase in temperature.

To determine if there is evidence to show that the temperature has increased this year compared to the average temperature data from the previous 10 years, we can conduct a one-sample t-test with a null hypothesis that the population mean temperature this year is equal to the average temperature data from the previous 10 years (75) and an alternative hypothesis that the population mean temperature this year is greater than 75.

Using a statistical software, the calculated t-value is 2.17 with a corresponding p-value of 0.032. Since the p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is evidence to show that the temperature has increased this year compared to the average temperature data from the previous 10 years. The p-value of 0.032 indicates that the probability of observing a sample mean temperature as extreme as 79.29 (the calculated sample mean temperature this year) or greater, assuming that the population mean temperature is equal to 75, is 0.032.

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The answer is A. The function g(x) = x is a unit vector in the vector space C[0, 1] and B. The cosine of the angle between \(f(x) = 5x^2\) and g(x) = 9x is 15 /\((2\sqrt{15})\).

To determine whether the function f(x) = 3x is a unit vector in the vector space C[0, 1] with the given inner product, we need to calculate its norm or magnitude.

The norm of a function f(x) in this vector space is defined as ||f|| = sqrt((f, f)), where (f, f) is the inner product of f with itself.

Using the inner product given, we can calculate the norm of f(x) as follows:

\(||f|| = sqrt(integral^1_0 (3x)^2 dx)\\= sqrt(integral^1_0 9x^2 dx)\\= sqrt[9 * (x^3/3) | from 0 to 1]\)

= sqrt[9/3 - 0]

= sqrt(3).

Since the norm of f(x) is sqrt(3) ≠ 1, we can conclude that f(x) = 3x is not a unit vector in this vector space.

To find a function that is a unit vector, we need to normalize f(x) by dividing it by its norm. Let's denote this normalized function as g(x):

g(x) = f(x) / ||f||

= (3x) / sqrt(3)

= sqrt(3)x / sqrt(3)

= x.

Therefore, the function g(x) = x is a unit vector in the vector space C[0, 1].

(b) To find the cosine of the angle between \(f(x) = 5x^2\) and g(x) = 9x, we can use the inner product and the definition of cosine:

cos(θ) = (f, g) / (||f|| ||g||).

Using the given inner product, we have:

\((f, g) = integral^1_0 (5x^2)(9x) \\\\dx= 45 * integral^1_0 x^3 \\\\dx= 45 * (x^4/4 | from 0 to 1)\)

= 45/4.

The norms of f(x) and g(x) are:

\(||f|| = sqrt(integral^1_0 (5x^2)^2 dx)\\= sqrt(integral^1_0 25x^4 dx)\\= sqrt[25 * (x^5/5) | from 0 to 1]\)

= sqrt(5).

\(= sqrt(integral^1_0 81x^2 dx)\)

\(= sqrt(integral^1_0 81x^2 dx)\)

\(= sqrt[81 * (x^3/3) | from 0 to 1]\)

\(= 3\sqrt{3}\)

Substituting these values into the cosine formula:

cos(θ) = (45/4) / (sqrt(5) * 3√3)

\(= (15/2) * (1 / (sqrt(5) * √3))= (15/2) * (1 / √15)= (15/2) * (1 / (√3 * √5))= 15 / (2√15).\)

Therefore, the cosine of the angle between \(f(x) = 5x^2 and g(x) = 9x is 15 / (2\sqrt{15}).\)

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The triangle that represents the image is; Option B; Triangle X Y Z is reflected across line m and then is dilated to form smaller triangle X prime Y prime Z prime.

From the given transformation as seen in the attached image, we can say that;

In Option A, the triangle is first reflected across m and then reflected across the vertical line. Then, it is dilated.

In Option C, the triangle is reflected across m but the angles are not preserved.

In Option B, the triangle is reflected across m and then dilated and as such is a correct image similar to the original triangle.

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It's Option B.

(You can also call it the middle one, up to you <3)

y=mx+c, m is the slope and c is y intercept.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

y=mx+c

m is the slope

c is the y intercept.

The equation K = °C + 273.15

°C + 273.15 =K

Subtract 273.15 on both sides

°C  =K- 273.15

Hence, y=mx+c, m is the slope and c is y intercept.

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Mean = 86.29 degrees, Median = 86 degrees, Mode = (d) The modes are 84 and 86 degrees,

Midrange of the Temperatures = 87, Range = 6

The mean temperature for the week can be calculated by adding up all the temperatures and then dividing by the number of temperatures. The mean temperature for the week is written to two decimal places:

Mean = (86+89+90+87+84+86+84)/7

Mean = 86.29.

Therefore, the mean temperature for the week is 86.29.

To find the median temperature, we need to sort the temperatures in ascending order:

84 84 86 86 87 89 90

There are seven temperatures, so the median is the fourth value, which is 86.

Therefore, the median temperature is 86.

The mode is the value that appears most frequently in a dataset. Here, both 84 and 86 appear twice each. Hence, the modes are 84 and 86 degrees.

Therefore, the modes are 84 and 86 degrees.

The midrange is the average of the maximum and minimum values in a dataset. To find the midrange, we need to find the maximum and minimum temperatures.

Maximum temperature = 90, Minimum temperature = 84

Midrange = (90+84)/2 = 87.

Therefore, the midrange of the temperatures is 87.

The range of a set of data is the difference between the largest and smallest values in a dataset. To find the range of the temperatures, we need to find the maximum and minimum temperatures.

Maximum temperature = 90

Minimum temperature = 84

Range = Maximum temperature - Minimum temperature

Range = 90 - 84 = 6

Therefore, the range of the temperatures is 6.

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Answer:

1870

Step-by-step explanation:

Answer:

c) 1,870

Step-by-step explanation:

374 multiplied 5 times, or 374 in a group of 5, equals 1,870.

Have a good day <333

Based on the distance that the yellow jacket flies in 9 seconds, the unit rate in meter per second is 0.5 m/s

The unit rate of the yellow jacket can be found by the formula:

= Distance travelled / Number of seconds

Solving gives:

= 4.5 / 9

= 0.5 meter per second

= 0.5 m/s

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The correct answer is the derivative of f(x) is df/dx = 2cos(2x).

To find the derivative of f(x), denoted as df/dx or f'(x), we differentiate each term of the function with respect to x.

Given:

f(x) = sin(2x) + 2cos(r)

Taking the derivative term by term:

df/dx = d/dx(sin(2x)) + d/dx(2cos(r))

Using the chain rule, the derivative of sin(2x) with respect to x is:

d/dx(sin(2x)) = 2cos(2x)

Since r is a constant, the derivative of 2cos(r) with respect to x is 0 since the cosine of a constant is also a constant.

Therefore:

df/dx = 2cos(2x) + 0

df/dx = 2cos(2x)

So, the derivative of f(x) is df/dx = 2cos(2x).

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Sandra should expect the walk to the park to take about 35 minutes.

We can use the formula:

time = distance / rate

where "distance" is the distance Sandra will walk and "rate" is her walking rate in miles per minute.

First, we need to find her rate. We know that she walks 1.6 miles in 18 minutes:

rate = distance / time

rate = 1.6 miles / 18 minutes

rate = 0.0889 miles/minute

Now we can use this rate to find out how long it will take her to walk 3.1 miles:

time = distance / rate

time = 3.1 miles / 0.0889 miles/minute

time = 34.9159 minutes

Rounding this to the nearest minute, we get:

time ≈ 35 minutes

Therefore, Sandra should expect the walk to the park to take about 35 minutes.

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Answer:

Step-by-step explanation:

The Answer Should Look Like this:

Which location would you most like to visit?

Hawaii Paris Row totals

M students 0.76 0.24 1

F students 0.52 0.48 1

This is correct because it is a table with two topics. M and f students.

Another way i know is because i got it right on the test, Hence, the answer above is correct.

Answer:

The correct answer would be A, the first graph.

Step-by-step explanation:

It displays a two-way frequency table for gender.

Hope this helped! <3

Answer: 13

Step-by-step explanation:

The pythagorean theorem is a^2+b^2=c^2

put the two legs into the theorem

8^2+10^2=c^2

64+100=c^2

164=c^2

Now we take the square root of both sides

~12.806=c

c=13, rounded of course!

Hope this helps!

Answer:

Use the Pythagorean theorem

Step-by-step explanation:

The squared length of the hypotenuse (c) is equal to the sum of the squared length of the other two sides of the right triangle (a and b) .

Therefore:

\(c^{2} =a^{2} +b^{2} \\\\c=\sqrt{a^{2} +b^{2}} \\\\c=\sqrt{(8cm)^{2} +(10cm)^{2}} \\\\c=\sqrt{64 cm^{2}+100 cm^{2}} \\\\c=\sqrt{164 cm^{2}} \\\\\)

c≈12.806 cm ≈ 13 cm

The length of the hypotenuse is approximately 13 cm.

Answer:

Two quantities A and B have an equal ratio of a constant value direct proportion.

Answer:

a proportion of two variable quantities when the ratio of the two quantities is constant.Step-by-step explanation:

Answer:

A.) 34 = 10 + 4x

Step-by-step explanation:

This equation would mean the customer rented one bike ($10) plus the hours they had it ($4 per hour) for x hours.

That means the equation would look like this 10 + 4x = 34

To determine the probabilities, we need to consider the number of favorable outcomes for each situation divided by the total number of possible outcomes.

1.Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)

2. Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7%

3. Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)

4.Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)

1. Salmon chooses a composite number, a cool color (G, B, I, or V), and an A:

a) Composite numbers between 1 and 100: There are 57 composite numbers in this range.

b) Cool colors (G, B, I, or V): There are 4 cool colors.

c) The letter A: There is 1 A in "INDIANA."

Total favorable outcomes: 57 (composite numbers) * 4 (cool colors) * 1 (A) = 228

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 1 (possible letter) = 700

Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)

2. Federico chooses a prime number, a color starting with a vowel (E or I), and a consonant:

a) Prime numbers between 1 and 100: There are 25 prime numbers in this range.

b) Colors starting with a vowel (E or I): There are 2 colors starting with a vowel.

c) Consonants in "INDIANA": There are 4 consonants.

Total favorable outcomes: 25 (prime numbers) * 2 (vowel colors) * 4 (consonants) = 200

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 5 (possible letters) = 3500

Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7% (rounded to one decimal place)

3. Either chooses a number divisible by 7 or 8, any color, and a vowel:

a) Numbers divisible by 7 or 8: There are 24 numbers divisible by 7 or 8 in the range of 1 to 100.

b) Any color: There are 7 possible colors.

c) Vowels in "INDIANA": There are 3 vowels.

Total favorable outcomes: 24 (divisible numbers) * 7 (possible colors) * 3 (vowels) = 504

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 3 (possible letters) = 2100

Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)

4. Either chooses a number divisible by 5 or 4, blue or green, and L or N:

a) Numbers divisible by 5 or 4: There are 45 numbers divisible by 5 or 4 in the range of 1 to 100.

b) Blue or green colors: There are 2 possible colors (blue or green).

c) L or N in "INDIANA": There are 2 letters (L or N).

Total favorable outcomes: 45 (divisible numbers) * 2 (possible colors) * 2 (letters) = 180

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 2 (possible letters) = 1400

Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)

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Answer:

4. 7 hours   6. 8.57

Step-by-step explanation:

Step-by-step explanation:

Since, Carlos completes the work in 5 hours.

So, in one hour she will do \( =\frac{1}{5}\) part

Since, Jenny completes the work in 9 hours.

So, in one hour she will do \( =\frac{1}{9}\) part

(Carlos + Jenny)'s one hour work together

\( =\frac{1}{5}+\frac{1}{9}\\

= \frac{9+5}{5\times 9}\\

= \frac{14}{45}\\\)

Total time taken by Carlos and Jenny together \( =\frac{45}{14}= 3\frac{3}{14} \: hours\)

Answer:

m = 1/2

Step-by-step explanation:

Look at the points on the graph and determine what the slope would be using the slope formula. y2-y1 / x2-x1.

2 - 0 / 0 - (-4)

2/4

1/2

Answer:

the slope of the line is 2

Step-by-step explanation:

use the formula for the slope of a line: y2-y1/x2-x1

this will give you 2-0/0-(-4) = 2/4

simplified to 2 for the slope.

if the answer you need is just the slope ten it would be 2

if you're looking for the equation of the line it would be y=2x+2

This will produce a plot of the vector field for the function f(x,y) = x^4, y^4.

The vector field for f(x,y) = x^4, y^4 can be plotted by considering the gradient of the function, which gives us the direction and magnitude of the vector at each point (x,y).

The gradient of f(x,y) is given by:

grad(f) = (∂f/∂x)i + (∂f/∂y)j

= 4x^3 i + 4y^3 j

This tells us that at each point (x,y), the vector has a magnitude of sqrt((4x^3)^2 + (4y^3)^2) = 4sqrt(x^6 + y^6) and is pointing in the direction of (4x^3, 4y^3).

To plot the vector field, we can choose a set of points (x,y) on a grid and calculate the corresponding vectors. We can then draw an arrow at each point (x,y) with the length and direction given by the corresponding vector.

Alternatively, we can use software such as MATLAB or Python with a suitable library like matplotlib to plot the vector field. Here is an example code in Python:

import numpy as np

import matplotlib.pyplot as plt

# Define the vector field function

def f(x, y):

   return np.array([x**4, y**4])

# Define the grid of points to plot

x = np.linspace(-1, 1, 20)

y = np.linspace(-1, 1, 20)

X, Y = np.meshgrid(x, y)

# Evaluate the vector field at each point

U, V = f(X, Y)

# Plot the vector field

plt.quiver(X, Y, U, V)

# Add labels and show the plot

plt.xlabel('x')

plt.ylabel('y')

plt.title('Vector Field for f(x,y) = x^4, y^4')

plt.show()

This will produce a plot of the vector field for the function f(x,y) = x^4, y^4.

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Their speed in terms of square feet per minute is 3/10 square feet per minute.

We know that the speed formula is the rate at which an object travels a given distance. Speed is defined as the distance traveled by a body in a given amount of time. Speed in the SI is measured in m/s.

Given that the distance = 1/5 square feet.

The time = 2/3 minute.

Speed = distance/time = (1/5)/(2/3) = (1/5)*(3/2) = 3/10

Therefore, we can conclude that their speed in terms of square feet per minute is 3/10 square feet per minute.

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Here is a Venn diagram illustrating the relationship between the sets a, b, and c, where a is a subset of b and b is a subset of c:

     _______________

    |       c       |

    |               |

    |      _________

    |     |         |

    |     |    b    |

    |     |         |

    |     |______   |

    |            |  |

    |       a    |__|

    |_______________|

In this diagram, the set c is represented by the outer rectangle, the set b is the area inside the rectangle but outside the inner circle, and the set a is the area inside both the rectangle and the inner circle.

Since a is a subset of b, every element in a is also in b, and therefore the inner circle is entirely contained within the area representing b.

Similarly, since b is a subset of c, every element in b is also in c, and therefore the area representing b is entirely contained within the outer rectangle representing c.

This diagram shows that if a is a subset of b and b is a subset of c, then a is also a subset of c.

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The expression uses the greatest common factor and the distributive property to rewrite the sum 75+45 is 15(5+3)

The greatest common factor is the greatest factor that divides both numbers.

The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation

Given,

75=3×5×5

45=3×3×5

The greatest common factor = 3×5=15

Then,

(75+45)=15(5+3)

Hence, the expression uses the greatest common factor and the distributive property to rewrite the sum 75+45 is 15(5+3)

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Answer:

x-3=6

Step-by-step explanation:

Answer: two right-angled triangle, equilateral triangle

Step-by-step explanation:

It is a combination of two right-angled triangle or it is an equilateral triangle.

Explanation:

You want to prove a point P on the perpendicular bisector of segment YZ is equidistant from Y and Z.

1. PX is the perpendicular bisector of YZ . . . . given

2. angles at X are right angles . . . . definition of perpendicular

3. YX = XZ . . . . definition of bisector

4. PX = PX . . . . reflexive property of congruence

5. ∆PXY ≅ ∆PXZ . . . . LL congruence theorem

6. YP ≅ ZP . . . . CPCTC

The Student t-distribution would be the most appropriate method for calculating the margin of error for the population mean in this case.

The most appropriate method for calculating the margin of error for the population mean in this case would be the Student t-distribution. This is because the sample size is relatively small (16 school children) and the population distribution is assumed to be uniformly distributed.

The Student t-distribution is used when the sample size is small and the population distribution is unknown or not normally distributed.

In contrast, the Normal z-distribution is used when the sample size is large (usually over 30) and the population distribution is assumed to be normally distributed.

More advanced statistical techniques, such as bootstrapping or Bayesian methods, may be used when the sample size is small and the population distribution is unknown, but these techniques are more complex and may not be necessary in this case.

Therefore, the Student t-distribution would be the most appropriate method for calculating the margin of error for the population mean in this case.

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