Reena bought a jacket for £45. Six
months later, she sold it for £34.65.
What was her percentage loss?

The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

Total songs = 53

Like songs = 14

Probability of selecting and liking the first song = 14/53

Now since repetition is not allowed and one like the song has been chosen out of 14 thus, the remaining songs = 13, and total songs = 43 - 1 = 52

Probability of selecting liking the second song = 13/52

Probability of selecting liking the third song = 12/51

Probability of selecting liking the fourth song = 11/50

a)

The probability of liking all songs will be 14/53 x 13/52 x 12/51 x 11/50 = 0.03418.

b)

The probability of not liking the next four songs =1 - The probability of liking all songs

The probability of not liking the next four songs = 1 - 0.03418 = 0.96582.

Hence "The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658".

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Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

Here 's the working for the questions

Step-by-step explanation:

Mark brainliest pls

To find the total number of balloons used, we need to add the quantities of white, yellow, blue, and red balloons together.

Let's break down the given information:
- The number of white balloons used is 1243.
- There are 7559 more yellow balloons than white balloons.
- The number of blue balloons is 1138 more than the number of white balloons.
- The number of red balloons is equal to the combined quantity of yellow and blue balloons.

First, let's determine the number of yellow balloons. Since there are 7559 more yellow balloons than white balloons, we add 7559 to the quantity of white balloons:
1243 + 7559 = 8802 yellow balloons.

Next, let's determine the number of blue balloons. As there are 1138 more blue balloons than white balloons, we add 1138 to the quantity of white balloons:
1243 + 1138 = 2381 blue balloons.

Now, let's calculate the number of red balloons. The number of red balloons is equal to the sum of yellow and blue balloons:
8802 + 2381 = 11183 red balloons.

Finally, to find the total number of balloons used, we add the quantities of white, yellow, blue, and red balloons:
1243 + 8802 + 2381 + 11183 = 23609 balloons in total.

In total, 23609 balloons were used for the party. For the party, a total of 23609 balloons were used. The breakdown of balloon colors is as follows: 1243 white balloons, 8802 yellow balloons, 2381 blue balloons, and 11183 red balloons. To arrive at these numbers, we followed the given information step by step. First, we determined the quantity of yellow balloons by adding 7559 (the number of yellow balloons that exceeded the white balloons) to the initial quantity of white balloons (1243). This gave us a total of 8802 yellow balloons. Then, we calculated the quantity of blue balloons by adding 1138 (the number of blue balloons that exceeded the white balloons) to the initial quantity of white balloons (1243). This resulted in 2381 blue balloons. Finally, we found the quantity of red balloons by adding the number of yellow balloons (8802) and the number of blue balloons (2381), resulting in 11183 red balloons. Adding up the quantities of white, yellow, blue, and red balloons, we obtained a total of 23609 balloons for the party.

In conclusion, the total number of balloons used for the party was 23609, consisting of 1243 white balloons, 8802 yellow balloons, 2381 blue balloons, and 11183 red balloons.

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Answer: 630 rabbits

Step-by-step explanation: it shows that the population of rabbits grows by 70 each 4 years so we will have to add 70 to 560 which is 630 rabbits.

The population of rabbits in the year 2014 will be growing exponentially.

So, we can write a function

P = A · \(\alpha ^{x}\)

where,

A is the original rabbits

\(\alpha\) is the ratio of the increase

\(x\) is the time (the unit is year)

In 2004, the population of the rabbits was 490

∴ P = 490 · \(\alpha ^{x}\)

In 2008, the population increases to 560

∴ 560 = 490 · \(\alpha ^{2008-2004}\)

   560 = 490 · \(\alpha ^{4}\)

  \(\alpha ^{4\\\) = \(\frac{560}{490}\) = \(\frac{8}{7}\)

  \(\alpha\)   = \(\sqrt{\frac{2\sqrt{14} }{7} }\)

In 2014, x = 2014- 2004 = 10

P = 490 · \(\sqrt{\frac{2\sqrt{14}}{7} } ^{10}\)

  ≅ 684

Hence, the population of rabbits in the year 2014 will be approximately 684.

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Each statement about integer is:

Statement A: If positive is subtracted from a negative integer, the difference is negative integer.

This statement is sometimes true.

If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer. For example, if -5 is subtracted from -3, the difference is -8, which is a negative integer. However, if -3 is subtracted from -5, the difference is 2, which is a positive integer. The difference sign depends on which value is the bigger one.

Statement B: If a positive integer is subtracted from a positive integer, the difference is a positive integer.

This statement is sometimes true.

If a positive integer is subtracted from a positive integer, the difference can be a positive integer or a negative integer. For example, if 3 is subtracted from 5, the difference is 2, which is a positive integer. However, if 5 is subtracted from 3, the difference is -2, which is a negative integer.

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The statements that MUST be true based on the given information are:

For Quadrilateral C, if all four sides are congruent, then opposite sides are parallel and opposite angles are congruent. This can be proven using the fact that in an isosceles trapezoid (which is a special case of Quadrilateral C), opposite angles are congruent.

For Quadrilateral L, having two pairs of parallel sides and congruent diagonals means that it is a parallelogram with congruent diagonals. This type of parallelogram is known as a rhombus, and its opposite angles are congruent. Additionally, in a rhombus, consecutive angles are not necessarily supplementary or congruent.

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The value of x that satisfies the equation is x = 15/8, which is equivalent to 1.875.

To solve the equation (2/3)x - (1/5)x = x - 1 and find the value of x, we can follow these steps:

Combine like terms on the left side of the equation:

(2/3 - 1/5)x = x - 1

Find a common denominator for the fractions on the left side. The common denominator for 3 and 5 is 15, so we rewrite the equation as:

(10/15 - 3/15)x = x - 1

Simplify the left side of the equation:

(7/15)x = x - 1

To eliminate the fraction, we can multiply both sides of the equation by the denominator of the fraction, which is 15:

15 * (7/15)x = 15 * (x - 1)

This simplifies to:

7x = 15x - 15

Subtract 15x from both sides of the equation to isolate the x term:

7x - 15x = -15

Simplifying further:

-8x = -15

Divide both sides of the equation by -8 to solve for x:

x = (-15) / (-8)

Simplifying the division:

x = 15/8

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Randomly selected students from across all 6 grade levels.

Answer:

survey across all grade levels i think

Step-by-step explanation:

good luck

All the expressions which are equivalent to 8 x 8 x 8 x 8 x 8 are,

⇒ 8⁵

⇒ 8³ x 8²

⇒ 64 x 64 x 8

We have to given that;

Expression is,

⇒ 8 x 8 x 8 x 8 x 8

Now, We can write the expression as;

⇒ 8 x 8 x 8 x 8 x 8

⇒ 8⁵

⇒ 8³ x 8²

⇒ 64 x 64 x 8

Thus, All the expressions which are equivalent to 8 x 8 x 8 x 8 x 8 are,

⇒ 8⁵

⇒ 8³ x 8²

⇒ 64 x 64 x 8

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Notice that AD is a diameter, therefore,

Furthermore, arcAB=25° and x° is the central angle that defined arcAB; thus, x°=25°.

Finally,

Thus, the answer is y=100

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

To find the profit-maximizing conditions with third-degree price discrimination, we need to equate the marginal revenue (MR) to the marginal cost (MC) for each market segment.

Given the demand equations and the total cost function:

Market 1: Q1 = 160 - 10P1 or P1 = 16 - 0.1Q1

Market 2: Q2 = 200 - 20P2 or P2 = 10 - 0.05Q2

Total Cost: TC = 120 + 4Q

To find the profit-maximizing prices and quantities, we equate MR to MC for each market segment:

MR1 = MC:

16 - 0.2Q1 = 4

0.2Q1 = 12

Q1 = 60

MR2 = MC:

10 - 0.1Q2 = 4

0.1Q2 = 6

Q2 = 60

Substituting the quantities back into the demand equations, we find:

P1 = 16 - 0.1(60) = 10

P2 = 10 - 0.05(60) = 7

The total revenue (TR) can be calculated by multiplying the price by the quantity for each market segment:

TR = P1 * Q1 + P2 * Q2

TR = (10 * 60) + (7 * 60)

TR = 600 + 420

TR = 1020

The total cost (TC) is given by the total cost function:

TC = 120 + 4Q

TC = 120 + 4(60 + 60)

TC = 120 + 480

TC = 600

Finally, the profit (π) can be calculated by subtracting total cost from total revenue:

π = TR - TC

π = 1020 - 600

π = 420

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

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Answer:

(-8,-71)

Step-by-step explanation:

I assume by turning point it means the vertex:

\(y=x^2+16x-7\\y+71=x^2+16x-7+71\\y+71=x^2+16x+64\\y+71=(x+8)^2\\y=(x+8)^2-71\)

Now that we converted our equation to vertex form \(y=(x+h)^2+k\), we can see our vertex, or turning point, is (h,k)=(-8,-71)

Answer: A. 5/8

1/4 x 2 will equal 2/8. 7/8 - 2/8 = 5/8

✨Answer:✨

A. 5/8

Jessica has 5/8 pounds of candy left

✨Step-by-step explanation:✨

7/8 (how many pounds she used to have) - 1/4 (how much she ate at the movies) = ?

✨To make this easier let us turn 1/4 into 2/8 (both fractions are equivalent):✨

7/8 (How many pounds she used to have) - 2/8 ([Also 1/4] how much she ate at the movies) = 5/8 (how much she has left)

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:

(4, 5)

Step-by-step explanation:

Calculate the midpoint using the midpoint formula

midpoint = [( + ), ( + ) ]

with (,  ) = (1, 2) and (,  ) = (7, 8)

midpoint = [(1 + 7), (2 + 8) ]

              = (4, 5)

Answer:

The answer is 15.71

Step-by-step explanation:

All you have to do is multiply Pie or 3.14 with 5 from the sphere. 3.14 x 5 = 15.7. If you use the Pie symbol when multiplying you'll get this answer -> 15.70796327. But I recommend using the pie symbol and just rounding it off. When rounding 15.70796327 to the hundredth place, do you know the saying 5 & up moves up and 4 & below stays??? Will it's the same thing here. 7 in 15.707 will move the 0 to a 1 instead of a 0.

Answer:

The small bag gives the best value.

Step-by-step explanation:

Simply divide the liters by the price to get the liters per price of each bag.

Example:

30/5.82= 8.59...

This has the highest number of the three of them, meaning you get more compost per dollar you spend. Therefore, the small bag is the best value.

Answer:

Step-by-step explanation:

Find unit rate for each size bag.

Unit rate for small bag = 5.82 ÷ 30  = $ 0.194

Unit rate for medium bag = 9.45 ÷ 50 = $ 0.189

Unit rate for large bag = 14.50 ÷ 75  = $0.193

Medium bag gives the best value as it has lowest unit rate

Answer:

x = 1

Step-by-step explanation:

given the figure has one pair of parallel sides and the legs are congruent, then

LMNO is an isosceles trapezoid,

the diagonals of an isosceles trapezoid are congruent , so

LN = MO , that is

7x = 2x + 5 ( subtract 2x from both sides )

5x = 5 ( divide both sides by 5 )

x = 1

When your left fender is lined up with the lane boundary, then the feet from the left edge of your lane will be 3 ft.

When the curb seems to intersect the middle of the hood from the driver's seat, your automobile is normally three to six inches from the curb and in the ideal lane position. Use the centre of the hood as a reference point when attempting to park the automobile on the right side of the street.

When putting a specific automobile 3 feet from the curb or line,  it is wise to use the centre of the hood as a reference point for the right-side restriction. For distances of three feet from the curb or line, utilise the right quarter of the hood as a point of reference.

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The probability that the drone will fly more than 4.80 hours is 0.159, or about 15.9%.

The probability that the drone will fly more than 4.80 hours can be calculated using the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. To use this standard normal distribution, we need to transform the original variable (flying time) into a standard normal variable using the following formula:

Z = (X - μ) / σ

where X is the original variable (flying time), μ is the mean (4.76 hours), σ is the standard deviation (0.04 hours), and Z is the standard normal variable.

Plugging in the values, we have:

Z = (4.80 - 4.76) / 0.04 = 1.00

Now that we have the standard normal variable Z, we can use a standard normal table or a calculator to find the probability that Z is greater than 1.00. The probability that Z is greater than 1.00 is equal to 1 - P(Z ≤ 1.00), where P(Z ≤ 1.00) is the cumulative probability that Z is less than or equal to 1.00.

Using a standard normal table (attached below), we find that P(Z ≤ 1.00) = 0.841. Therefore, the probability that the drone will fly more than 4.80 hours is equal to 1 - 0.841 = 0.159, or about 15.9%.

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The correct expression that represents a quadratic expression is: 12x² + 8x - 1.

A quadratic equation is an algebraic expression that involves numbers and variables choosing the second degree of x.

Therefore, we can conclude that the correct quadratic equation from the options is 12x² + 8x - 1.

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Answer:

12x² + 8x - 1.

Step-by-step explanation:

Given:

The matrix multiplication

\(\begin{bmatrix}4&5&6\\1&2&3\end{bmatrix}\begin{bmatrix}10\\20\\30\end{bmatrix}\)

To find:

The order of resulting matrix.

Solution:

We know that, if order of first matrix is \(m_1\times n_1\) and the order of second matrix is \(m_2\times n_2\), then the order of these two matrices is \(m_1\times n_2\).

We have,

\(\begin{bmatrix}4&5&6\\1&2&3\end{bmatrix}\begin{bmatrix}10\\20\\30\end{bmatrix}\)

Here, the order of first matrix is \(2\times 3\) and the order of the second matrix is \(3\times 1\). So, the order of the second matrix is \(2\times 1\). It is also written are 2 by 1.

Therefore, the correct option is A.

Answer:

2 by 1

Step-by-step explanation:

2 by 1

Answer:

None.

Step-by-step explanation:

There is no expression for the square root of negative numbers. In other words it is undefined.

Answer:

4√5

Step-by-step explanation:

Answer:

fluid ounces

Step-by-step explanation:

1 quart is equal to 32 fo

By combining the like terms, the simplified form of the expression -(3x-4y)+x is -2x+4y

Given,

The algebraic expression = -(3x-4y)+x

Expand the terms

-(3x-4y)+x= -3x+4y+x

Combine the like terms

-3x+4y+x= (-3+1)x+4y

=-2x+4y

Hence, by combining the like terms, the simplified form of the expression -(3x-4y)+x is -2x+4y

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To determine the number of ways the letters in the word "payment" can be arranged using 5 letters, we can utilize the concept of permutations.

A permutation is an arrangement of objects where the order matters. In this case, we want to arrange the letters of the word "payment" using only 5 out of the 7 letters available. To calculate the number of arrangements, we use the formula for permutations: nPr = n! / (n - r)!, where n is the total number of objects (letters) and r is the number of objects to be selected (5 in this case).

In the word "payment," there are 7 letters. Therefore, we have 7 options to choose from for the first position, 6 options for the second position, 5 options for the third position, 4 options for the fourth position, and 3 options for the fifth position. Hence, the number of arrangements is:
7P5 = 7! / (7 - 5)! = 7! / 2! = 7 * 6 * 5 * 4 * 3 = 2,520. Therefore, there are 2,520 different ways to arrange the letters of the word "payment" using only 5 letters.

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