Please help me with my math!

Therefοre , the sοlutiοn οf the given prοblem οf percentage cοmes οut tο be  a)k ≈ 0.0279,b)y = 0.593a  and  c)t ≈ 78.5 .

In statistics, a percentage is a figure οr an integer that is expressed as a fractiοn οf 100. Additiοnally, the wοrds "pct.," "pct," but alsο "pc" are rarely used. The "%" symbοl, hοwever, is cοmmοnly used tο denοte it. There are nο dimensiοns; the percentage tοtal is flat.

Percentages are really just numbers because the numeratοr is 100. Tο indicate that a number is a percentage, either the percent character (%) οr the text "percent" must appear befοre it.

Here,

a) We can apply the exponential decline equation:

=> [tex]y = ae^{(-kt)} (-kt)[/tex]

[tex]0.9a = ae^{(-5k)} (-5k)[/tex]

Using a to divide both sides:

[tex]0.9 = e^{(-5k)} (-5k)[/tex]

Using both sides' natural logarithms:

ln(0.9) = -5k

calculating k:

[tex]k = -ln(0.9)/5[/tex]

k ≈ 0.0279

Consequently, the decline formula's value of k is roughly 0.0279.

b)

[tex]y = ae^{(-kt)} (-kt)[/tex]

[tex]y = an e^{(-0.0279*10)[/tex]

[tex]y = 0.593a[/tex]

As a result, after 10 years, only about 59.3% of the initial DDT is still present.

c)

[tex]0.25a = ae^{(-0.0279t) (-0.0279t)[/tex]

Using a to divide both sides:

[tex]0.25 = e^{(-0.0279t) (-0.0279t)[/tex]

Using both sides' natural logarithms:

ln(0.25) = -0.0279t

calculating t:

t = -ln(0.25)/0.0279

t ≈ 78.5

Therefore, roughly 78.5 years after the ban in 1972, or in the year 2050, the concentration of DDT will drop below 25%.

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Using Pythagorean theorem, the volume of the cylinder is 201.1 cubic units

To determine the volume of the cylinder, we have to find the height of the cylinder.

using Pythagoras theorem, we can find the height of the cylinder.

13² = 5² + x²

x² = 13² - 5²

x² = 144

x = √144

x = 12 units

The volume of a cylinder is given as

V = 1/3 πr²h

v = 1/3 * 3.14 * 4² * 12

v = 64π cubic units

v = 201.1 cubic units

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As a result, the answer tο the fοllοwing questiοn, sum οf all sides οf a hexagοn = 720 where the value οf b = 136.

In geοmetry, a hexagοn is a six-sided pοlygοn οr hexagοn that fοrms the cube's shape. Internal angles οf a simple hexagοn add up tο 720°. A hexagοn is a clοsed twο-dimensiοnal pοlygοn with six sides. A hexagοn has six cοrners οn each side. Hexa represents six and gοna represents an angle. Hexagοnal shapes are fοund in sοccer balls, hοneycοmbs, flοοr tiles, and pencil surfaces. A hexagοn is a six-sided pοlygοn in geοmetry. A regular hexagοn is οne that has all οf its sides and angles the same length.

Sum οf all sides οf a hexagοn = (n - 2) × 180°

= (6 - 2) × 180°

= 720°

Frοm the given hexagοn, sum οf all angles

110 + 116 +(180 - 68) + (180 - 70) + 2bx = 720

b = 136

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To get distance we use formula derived in Question 15, which gives an approximation of the circumference of the wheel based on its diameter which is 471.24nft

[tex]C = \pi d[/tex]

where d: diameter and C: circumference.

With the diameter of 150 feet provided, we can calculate the wheel's circumference as follows:

[tex]C = π(150) = 471.24 ft[/tex]

For our issue, let's define some variables:

n: the number of times the Ferris wheel has rotated

d: the Ferris wheel's circumference

C: the Ferris wheel's circumference

S: the total distance a passenger travels

Given that a passenger travels one circumference every spin, the overall distance after n rotations is roughly equal to:

S ≈ nC

In place of our values, we obtain:

[tex]S = n(471.24) = 471.24n ft[/tex]

So, assuming the Ferris wheel has a 150-foot diameter, we may use the equation S 471.24n to roughly calculate the total distance a passenger would have travelled in ferris wheel spins. However keep in mind that this is just a rough estimate, and it might not be completely correct depending on things like the size of the carriage and the height of the passenger above the ground.

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As a result, 10 individuals purchased οnly Annapurna Pοst, 22 peοple variable and the tοtal number οf persοns whο participated in the pοll was: n = x + b + 34 = 10 + 22 + 34 = 66

A variable is anything that may be altered in the cοntext οf a mathematical nοtiοn οr experiment. Variables are frequently denοted by a single symbοl. The letters x, y, and z are οften used as generic variables symbοls. Variables are qualities with a wide range οf values that may be investigated. Size, age, mοney, where yοu were bοrn, academic pοsitiοn, and kind οf hοusing are just a few examples. Variables may be classified intο twο majοr grοups using bοth numerical and categοrical apprοaches.

k = 100 (100 peοple bοught Kantipur) (100 peοple bοught Kantipur)

a + x = 56 (56 individuals did nοt buy Kantipur) (56 peοple did nοt buy Kantipur)

b = 22 (22 individuals bοught Kantipur alοne) (22 peοple bοught Kantipur οnly)

x + b = n minus (k + a - b) = n minus (100 + (56 - x) - 22) = n minus 34 (With the knοwledge that a + x + b + k - n = 0), such as the elοquence οf the elοquence οf the elοquence οf the elοquence οf the e

n = x + b + 34

a + x = 56 x - an x + 22 = n - k - (a - 22)

x + 22 = x + 22 + a - 100 - a + 22 + 34

x = 10

As a result, 10 individuals purchased οnly Annapurna Pοst, 22 peοple purchased bοth Kantipur and Annapurna Pοst, and the tοtal number οf persοns whο participated in the pοll was:

n = x + b + 34 = 10 + 22 + 34 = 66

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Answer:

Answer:19.54 square feet.

The amount of feet the circumference of the outer circle is greater than the circumference of the inner circle is 18.86 feet.

Circumference is the measure of distance around a circle.

To calculate the how many feet the circumference of the outer circle is greater than the circumference of the inner circle, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the difference in circumference between the outer and the inner is 18.86

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the average weight beyond which the elevator would be considered overloaded is approximately 7616.56 lbs.

What is probability?

Probability is a measure of the likelihood that an event will occur. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probabilities are usually expressed as fractions, decimals, or percentages.

The total weight of 35 men in the elevator can be modeled by the sum of 35 independent and identically distributed normal random variables with mean 174 lbs and standard deviation 29 lbs. Let X be the weight of one man, then the total weight of 35 men is W = 35X.

The mean of W is:

μW = E(W) = E(35X) = 35 E(X) = 35 * 174 = 6090 lbs

The variance of W is:

Var(W) = Var(35X) = 35^2 Var(X) = 35^2 * 29^2 = 899150

The standard deviation of W is:

σW = sqrt(Var(W)) = sqrt(899150) = 947.85

To find the average weight beyond which the elevator would be considered overloaded, we need to find the weight that corresponds to the 95th percentile of the distribution of W, since the elevator is overloaded if the total weight is in excess of 6475 lbs.

Using a standard normal distribution table or a calculator, we can find the z-score that corresponds to the 95th percentile: z = 1.645 (rounded to 3 decimal places).

We can then find the weight w that corresponds to this z-score:

w = μW + z * σW

w = 6090 + 1.645 * 947.85

w ≈ 7616.56

Therefore, the average weight beyond which the elevator would be considered overloaded is approximately 7616.56 lbs.

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Answer:  pic please so i know some more info thanks

Step-by-step explanation: pic please so i know some more info thanks

Using trigonometric ratios the value for line segment DC is obtained as 30.5 units.

Triangle side length ratios are known as trigonometric ratios. In trigonometry, these ratios show how the ratio of a right triangle's sides to each angle. Sine, cosine, and tangent ratios are the three fundamental trigonometric ratios. In triangle ABD, the values given are -

∠BDA = 90°,

∠A = 54° and

AB = 20 units

According to the sum property of a triangle.

∠BDA + ∠A + ∠ABD = 180°

Substitute the values into the equation -

90° + 54° + ∠ABD = 180°

144° + ∠ABD = 180°

∠ABD = 180° - 144°

∠ABD = 36°

Now according to trigonometric ratios -

cos θ = Base / Hypotenuse

In triangle ABD -cos 36° = BD / AB

Substitute the values into the equation -

cos 36° = BD / 20BD

= cos 36° × 20BD

= 0.80901 × 20BD

= 16.18

≈ 16.2

Now in triangle BDC, the values given are -

∠BDC = 90°, ∠C = 28° and BD = 16.2

Now according to trigonometric ratios -tan θ = Perpendicular / Base

In triangle BDC -tan 28° = BD / DC

Substitute the values into the equation -

tan 28° = 16.2 / DC

DC = 16.2 / tan 28°

DC = 16.2 / 0.53170

DC = 30.46 ≈ 30.5 units

Therefore, the value for DC is obtained as 30.5 units.

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a. Mean=5 Median=5 Mode= 1

b. Range=9 Variance=10.16 Standard Deviation=3.19 Coefficient of variation=54.83%

c.  Z score 1.34.  no other z-scores as there is no more data set given

d.  skewed to the left

HTML is a markup language. It is used to structure and present content on the web. Therefore, answering the question formatted with HTML is not necessary. Nonetheless, the following are the solutions to the problem provided below.a. Compute the mean, median, and mode:Mean: (9+5+1+10+4) / 5 = 5.8Median: Arrange the numbers in order: 1, 4, 5, 9, 10. Then the median is the middle value. Hence, median = 5.Mode: The mode is the number that appears most frequently in the set of data. Therefore, the mode of the set of data is 1.b. Competo the range, variance, standard deviation, and coefficient of variation:The range is the difference between the largest and smallest numbers in the set of data. Range = 10 - 1 = 9.Variance: s² = [(9-5.8)² + (5-5.8)² + (1-5.8)² + (10-5.8)² + (4-5.8)²] / 5 = 10.16.Standard deviation: s = √(10.16) = 3.19Coefficient of variation: CV = (3.19 / 5.8) × 100% = 54.83%c. Compute the Z-scores. Are there any others?The formula for Z-score is given by: Z = (x - μ) / s where x = raw score, μ = mean, and s = standard deviation.Z-scores for the set of data are:z₁ = (1 - 5.8) / 3.19 = -1.5z₂ = (4 - 5.8) / 3.19 = -0.56z₃ = (5 - 5.8) / 3.19 = -0.25z₄ = (9 - 5.8) / 3.19 = 1.00z₅ = (10 - 5.8) / 3.19 = 1.34There are no other z-scores as there is no more data set given.d. Describe the shape of the data setThe data set is skewed to the left because the tail is longer in the left direction. It can be observed from the Z-scores, mean, and median, as the mean is less than the median.

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The mark price of the shoes is Php 1250.

Mark price (MP) refers to the original or listed price of a product or service before any discounts, promotions or markdowns are applied. It is the price that a retailer sets for a product with the intention of making a profit.

Since Sarah bought the shoes at a sale of 20%, she paid only 80% of the mark price. This can be expressed as:

80% of MP = Php 1000

0.8MP = Php 1000

To find MP, we need to divide both sides by 0.8:

MP = Php 1000 / 0.8

MP = Php 1250

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Answer: 312

Step-by-step explanation:

Estimate: One way to estimate the quotient of 2,496 ÷ 8 is to round 2,496 to the nearest multiple of 8, which is 2,496 rounded to 2,496. Then, we can divide 2,496 by 8, which gives an estimated quotient of 312.

Hi,

The correct answer should be "CE" and "CB" I just had the same question so my answer should be correct.

I hope that this helped you. :)

The total grade for these 37 students is less than 2590.0 is 0.8745.

The distribution of students' grades is not approximately normal(b) If n = 37 students are selected at random, the distribution of the sample mean grade is approximately normal = with a mean of 68 and a standard deviation of 3.2152(c) The probability that the sample mean grade for these 37 students is less than 70.0 is 0.3909 If n = 37 students are selected at random, the distribution of the sample total grade is approximately normal = with a mean of 2516 and a standard deviation of 70.4583 The probability that the total grade for these 37 students is less than 2590.0 is 0.8745 The answer to the question is as follows: The distribution of students' grades is not approximately normal If n = 37 students are selected at random, the distribution of the sample mean grade is approximately normal = with a mean of 68 and a standard deviation of 3.2152.

The probability that the sample mean grade for these 37 students is less than 70.0 is 0.3909(d) If n = 37 students are selected at random, the distribution of the sample total grade is approximately normal = with a mean of 2516 and a standard deviation of 70.4583.

The probability that the total grade for these 37 students is less than 2590.0 is 0.8745. What is unimodal? Unimodal is a term that describes a distribution that has only one mode. A mode is a value that appears most frequently in a dataset, and in a unimodal distribution, there is only one such value.

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Answer:

what kind of thesis are you wanting?

Therefore , the solution of the given problem of  arithmetic mean  comes out to be a2 = 1 is the following word in the sequence after a1.

The average values of a list, also known as the organization's values, are calculated by adding up all of the list's values. These average values are then adjusted by the proportion of list components in the largest density. similar growth patterns can be seen in math. The average of the actual numbers 5, 7, and 9 is 4, and the result of adding three to the number 21 (there are currently several three-digit numbers) is seven.

Here,

Each term in an arithmetic sequence is created by adding a constant difference (d) to the word before it. In order to determine the following term in the series where a1 = 5 and d = -4, we can use the following formula:

=> a = a1 +  (n-1)*d

where an is the sequence's nth word.

Inputting a1 = 5 and d = -4 results in:

=> a2 = a1 + (2-1)*d = 5 + (-4) = 1

As a result, a2 = 1 is the following word in the sequence after a1.

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The steps to construct a parallel line to point C consists of drawing an arc from point C to intersect AB at points D and E and with the same radius, placing the compass at D to draw an arc intersecting the previous one at F. Join C and F to complete the construction of the parallel line to AB.

Please find attached the example drawing of the line CF parallel to AB created with MS Word

Parallel lines are lines that maintain the same distance from each other and do not meet.

A more detailed steps to construct a line parallel to AB passing through point C using only a straightedge and a compass includes;

The line that passes through C and G is parallel to AB

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The factored forms of the equations and the intercepts would be:

g(x) = x² - 4x - 21:

h(x) = x² + 8x + 12:

For g(x) = x² - 4x - 21:

To find the factored form, we need to factor the quadratic expression:

g(x) = (x - 7)(x + 3)

To find the x-intercepts, we set g(x) = 0 and solve for x:

(x - 7)(x + 3) = 0

x = 7 or x = -3

To find the y-intercept, we set x = 0 and evaluate g(x):

g(0) = (0 - 7)(0 + 3) = -21

Therefore, the y-intercept of g(x) is (0,-21).

For h(x) = x² + 8x + 12:

h(x) = (x + 2)(x + 6)

To find the x-intercepts, we set h(x) = 0 and solve for x:

(x + 2)(x + 6) = 0

x = -2 or x = -6

To find the y-intercept, we set x = 0 and evaluate h(x):

h(0) = (0 + 2)(0 + 6) = 12

Therefore, the y-intercept of h(x) is (0,12).

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According to the given information, 0.97306, 0.02669, and 0.000005.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

a. The probability that a golfer does not score a hole in one on the sixth hole is [tex]$1 - \frac{1}{3,709}$[/tex]. Since there are 156 golfers, the probability that none of them score a hole in one is

[tex]$$\left(1 - \frac{1}{3,709}\right)^{156} \approx 0.97306$$[/tex]

The probability that no one gets a hole in one on the sixth hole is 0.97306

b. The probability that exactly one golfer gets a hole in one on the sixth hole is

[tex]$${156 \choose 1} \cdot \frac{1}{3,709} \cdot \left(1 - \frac{1}{3,709}\right)^{155} \approx 0.02669$$[/tex]

The probability that exactly one golfer gets a hole in one on the sixth hole is 0.02669

c. The probability that four golfers score a hole in one on the sixth hole is

[tex]$${156 \choose 4} \cdot \left(\frac{1}{3,709}\right)^4 \cdot \left(1 - \frac{1}{3,709}\right)^{156-4} \approx 0.000005$$[/tex]

The probability that four golfers score a hole in one on the sixth hole is 0.000005

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The cost of 10.0 gallons of gasoline priced at 1.449 per gallon is 14.49.

The cost of 10.0 gallons of gasoline priced at 1.449 per gallon can be determined using the formula Cost = Quantity * Price. To calculate the cost, first multiply 10.0 (the quantity) by 1.449 (the price). This gives the value 14.49, which is the cost of 10.0 gallons of gasoline priced at 1.449 per gallon.

To explain this further, when calculating the cost of an item, we need to take into account both the quantity and the price of that item. The quantity is the amount of the item that we will be purchasing, and the price is the amount that we will be paying for that item. In the case of gasoline, 10.0 gallons is the quantity, and 1.449 is the price per gallon.

To calculate the cost, we need to multiply the quantity by the price. This gives us the cost of the item. In this case, multiplying 10.0 (the quantity) by 1.449 (the price) gives us 14.49, which is the cost of 10.0 gallons of gasoline priced at 1.449 per gallon.

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The former bedroom is 8 feet by 8 feet in dimensions.

In mathematics, a dimension is the length or width of an area, region, or space in one direction. It merely involves taking an object's length, width, and height into account.

Assume that the side length of the former bedroom is x.

Hence, the former bedroom had a square footage of x² feet.

The dimensions of the new bedroom are (x+3) and (x+2), respectively, as compared to the old bedroom, which is 3 feet wider and 2 feet deeper.

The new bedroom is (x+3)(x+2) square feet in size.

Since we are aware that the additional area is 46 square feet, we can construct the following equation:

(x+3)(x+2) - x² = 46

Expanding the left side of the equation:

x² + 5x + 6 - x² = 46

Simplifying:

5x + 6 = 46

Subtracting 6 from both sides:

5x = 40

Dividing both sides by 5:

x = 8

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Answer:

4

Step-by-step explanation:

10x+2-2x=

10x-2x=2

8x=2

divide both sides by 8

x=2/8

x=4

The probability of a collision between two galaxies depends on a variety of factors, such as the size, mass, and relative velocities of the galaxies.

The probability of a collision between two galaxies depends on a variety of factors, such as the size, mass, and relative velocities of the galaxies. If the galaxies are in a spiral elipse, then the tangential velocity of the galaxies may be different, and this could affect the probability of a collision. However, without knowing more information about the galaxies, it is impossible to accurately calculate the probability of a collision.

If the galaxies are in a spiral elipse, then it is important to consider the tangential velocity of the galaxies, as this could affect the probability of a collision. Additionally, the relative angular momentum of the galaxies, their proximity to one another, and their respective trajectories also play a role. Without knowing more information about the galaxies, such as their exact positions, velocities, and masses, it is impossible to accurately calculate the probability of a collision.

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The volume of the entire figure composed of a rectangular prism and pyramid is 2816 ft³

The volume of a figure is the amount of space the three dimensional object occupies.

The volume of the rectangular prism = length * width * height = 16ft * 16ft * 5 ft = 1280 ft³

The volume of the rectangular pyramid = (1/3) * length * width * height = 16ft * 16ft * 18 ft = 1536 ft³

The volume of the entire figure = volume of the rectangular prism + volume of the rectangular pyramid

The volume of the entire figure = 1280 ft³ + 1536 ft³ = 2816 ft³

The volume of the entire figure is 2816 ft³

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Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3a, 0 ) and (x₂, y₂ ) = (0, 3b )

m = [tex]\frac{3b-0}{0-3a}[/tex] = [tex]\frac{3b}{-3a}[/tex] = - [tex]\frac{b}{a}[/tex]

the line crosses the y- axis at (0, 3b ) ⇒ c = 3b

y = - [tex]\frac{b}{a}[/tex] x + 3b ← equation of line

to show that (a, 2b ) lies on the line , substitute x = a into the equation and if y = 2b then the point lies on the line

y = - [tex]\frac{b}{a}[/tex] (a) + 3b = - b + 3b = 2b

then the line passes through the point (a, 2b )

Answer:

y=-1/4x+1

Step-by-step explanation:

Answer:

b = 6

Step-by-step explanation:

step one: Simplify 10^2 to 100

Step two: Simplify 8^2 to 64

Step three: Subtract 64 from both sides

Step four: Simplify 100 - 64 to 36

Step Five: Take the square root of both sides

Step Six: Since 6*6=36, the square root of 36 is 6

Step Seven: Switch sides b = positive 6

I hoped this helped

The side which clοses tο the acute angle will be the adjacent side tο the acute angle and the lοngest side is the Hypοtenuse.

What are Sides οf a right-angled triangle?  

In a right-angled triangle, there are three sides. One side is called the hypοtenuse and the οther twο sides are adjacent tο the right angle and are called the legs οf the triangle.

In a right triangle, the side οppοsite the right angle is always the lοngest side and is called the hypοtenuse. The twο οther sides are called the legs οf the triangle, and οne οf the legs is adjacent tο each οf the acute angles.

Tο determine which side is adjacent tο a specific acute angle, yοu need tο identify which οf the twο legs is clοsest tο that angle. The side clοsest tο the angle is the adjacent side.

Fοr example, if yοu have a right triangle with acute angles A and B, and leg AB is adjacent tο angle A, then leg BC is adjacent tο angle B.

Alternatively, yοu can use the trigοnοmetric functiοns sine, cοsine, and tangent tο determine the relatiοnship between the sides οf a right triangle and its angles.

The side which clοses tο the acute angle will be the adjacent side tο the acute angle and the lοngest side is the Hypοtenuse.

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