if i supposedly got 2 cats and trained them to bring me quarters and they did and supposedly everyday i got 10 quarters how much would i have in year?

Main Answer:The relationship that is always true is: d. mean = median = mode

Supporting Question and Answer:

How can we determine if a distribution is perfectly symmetrical?

To determine if a distribution is perfectly symmetrical, we can examine the relationship between the mean, median, and mode of the data. If the mean, median, and mode are all equal, it indicates a perfectly symmetrical distribution. This means that the data is evenly distributed around the center, resulting in a balanced distribution.

Body of the Solution:For a perfectly symmetrical distribution, the relationship that is always true is:

d. mean = median = mode

In a perfectly symmetrical distribution, the mean, median, and mode will all have the same value because the data is evenly distributed around the center. This means that the average value (mean), the middle value (median), and the most frequently occurring value (mode) will all be equal in a symmetrical distribution.

Final Answer: Therefore, a perfectly symmetrical distribution, the relationship that is always true is: d. mean = median = mode

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The relationship that is always true is: d. mean = median = mode

To determine if a distribution is perfectly symmetrical, we can examine the relationship between the mean, median, and mode of the data. If the mean, median, and mode are all equal, it indicates a perfectly symmetrical distribution. This means that the data is evenly distributed around the center, resulting in a balanced distribution.

:For a perfectly symmetrical distribution, the relationship that is always true is:

d. mean = median = mode

In a perfectly symmetrical distribution, the mean, median, and mode will all have the same value because the data is evenly distributed around the center. This means that the average value (mean), the middle value (median), and the most frequently occurring value (mode) will all be equal in a symmetrical distribution.

Therefore, a perfectly symmetrical distribution, the relationship that is always true is: d. mean = median = mode

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Sum of three terms in a GP = 7

Product of the numbers = 8

G.P

Let the three numbers be a/r , a , ar where a is the first term and r is the common ratio.

So,

⟹ a/r + a + ar = 7 -- equation (1)

And,

⟹ (a/r) * a * ar = 8

⟹ a³ = 8

⟹ a = ³√8

⟹ a = 2

Substitute the value a in equation (1).

⟹ 2/r + 2 + 2r = 7

⟹ (2 + 2r + 2r²)/r = 7

⟹ 2 + 2r + 2r² = 7r

⟹ 2r² + 2r - 7r + 2 = 0

⟹ 2r² - 5r + 2 = 0

⟹ 2r² - 4r - r + 2 = 0

⟹ 2r(r - 2) - 1 (r - 2) = 0

⟹ (2r - 1)(r - 2) = 0

★ 2r - 1 = 0

⟹ 2r = 1

⟹ r = 1/2

★ r - 2 = 0

⟹ r = 2

If r = 1/2 ;

a/r = 2/(1/2) = 2 * 2 = 4

a = 2

ar = 2 * 1/2 = 1

If r = 2 ;

a/r = 2/2 = 1

a = 2

ar = 2 * 2 = 4

∴ Required GP is 4 , 2 , 1 or 1 , 2 , 4.

I hope it will help you.

Regards.

Step-by-step explanation:

Assume that the 4 terms are a/r, a , ar, ar2.

Product of first 3 terms = a3 =8

=> a=2

Sum of last 3 terms :

a(1 + r + r2) = 14

=> r2 + r - 6 = 0

Solving the above equation r= -3 or 2

So the terms are

-2/3, 2, -6, 18

Or

1, 2, 4, 8

The closest amount to the current stock price is $82.45

This is option B

We need to calculate the current stock price.Current stock price can be calculated using the constant growth rate model which is represented as follows:

P0 = D1/(r-g)

where

P0 is the current stock price

D1 is the next expected dividend

r is the required return on stock

g is the constant growth rate

We can find the value of P0 as follows:

P0 = D1/(r-g)= D0 x (1+g)/(r-g)

where

D0 is the current dividend

So,D0 = $2

g1 = 25%

g2 = 7%r = 11%

Using the above values,

P0 = $2 x (1 + 25%) x (1 + 25%) x (1 + 25%) x (1 + 7%)/(11% - 25%)= $2 x 1.25 x 1.25 x 1.25 x 1.07/-0.14= $82.45

Therefore, the closest answer to the current stock price is $82.45. which is option B.

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Answer:

y=200(1.13)^6= 416.39

Step-by-step explanation:

The function `g(x)` in terms of sine only is `g(x) = 3sin(2x) - 6sin²(2x)`

The given function is `g(x) = cos(2x) 3 sin(2x)`.

In order to express the function in terms of sine only, we will make use of the following identity:cos(2x) = 1 - 2sin²(x)

Substituting the value of `cos(2x)` in the given function, we get:

g(x) = (1 - 2sin²(2x)) 3sin(2x)

Now, we can simplify this expression by expanding it:

g(x) = 3sin(2x) - 6sin²(2x)

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Answer:

$8.34

Step-by-step explanation:

Simply divide $25.02 by three, since three people are splitting the cost.

Answer:

12 cm

Step-by-step explanation:

shape of DVD is circle

Area of circle = 36π

πr² = 36π

r² = 36

r = √36

r = 6

Diameter (d) = 2r = 2(6) = 12cm

Answer:

Step-by-step explanation:

118,000,000,000 +2,357,000,000=120,357,000,000

The correct answer is A. The selling price of a bond is affected by the coupon rate and the market interest rate.

If the coupon rate is less than the market interest rate, investors will not be interested in buying the bond because they can get a higher return elsewhere. This results in the selling price of the bond being less than its face value of $10,000.
The selling price of a $10,000 5-year bond will be less than $10,000 if the:
A. Coupon rate is less than the market interest rate

This is because when the coupon rate (the interest paid by the bond) is lower than the market interest rate, investors would prefer to invest in other options that offer a higher return. Therefore, to attract buyers, the bond's selling price would be discounted to compensate for the lower coupon rate.

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Draw the given right-angled triangle

STEP 2: Determine the trigonometric ratio to use

STEP 3: Substitute the given values and solve for c

Hence, the value of c is approximately 12.73

In the given options, the only relation that is also a function is;

option C: (−1, 1), (0, 0), (1, 1), (2, 4)

The domain of a function is the set of all possible input values (x-values) for which the function is defined. The range of a function is the set of all possible output values (y-values) that the function can produce.

A function is a relation between two sets, where each input from the first set (domain) corresponds to exactly one output in the second set (range).

In the given options, the only relation that is also a function is option C: (−1, 1), (0, 0), (1, 1), (2, 4)

This is because each input in the domain appears only once in the relation, and corresponds to exactly one output in the range. In other words, there are no two points in the relation with the same x-coordinate but different y-coordinates.

In options A, B, and D, there are two or more points with the same x-coordinate but different y-coordinates, which violates the definition of a function. Therefore, they are relations but not functions.

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In the given options, the only relation that is also a function is;

option C: (−1, 1), (0, 0), (1, 1), (2, 4)

The sets of all the x-coordinates as well as the y-coordinates of ordered pairs, respectively, make up the domain and range of a relation. A function's domain and range are its constituent parts. A function's range is its potential output, while its domain is the set of all possible input values.

The phrase "all the outcomes" that can enter a function without producing undefined values is referred to as the domain of a function. The collection of all feasible inputs for the function is known as the domain in mathematics.

A relation between two sets is called a "function" when every input from the first set (called the "domain") corresponds to exactly one output from the second set. (range).

The only relationship that also functions in the options is C: (−1, 1), (0, 0), (1, 1), (2, 4)

This is due to the fact that every input in the domain corresponds to only one output in the range and only one appearance in the relation. There are no

points in the connection that have the same x-coordinate but distinct y-coordinates, in other words.

The concept of a function is broken in choices A, B, and D because there are two or more points with the same x-coordinate but distinct y-coordinates. They are therefore relations rather than functions.

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Thee factory is able to provide 94.38 boxes per hour to the warehouse.

Rate = (2000 - 1245) / 8 = 94.38 boxes per hour

Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.

Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2

Therefore, the inventory at the end of a 40-hour work week would be:

1245 + 3775.2 = 5020.2 boxes

rate = (50000 - 1245) / time

Simplifying this equation, we get:

time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).

Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,

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To find the angle of the sum V1+V2, we first need to find the sum of the two vectors.

Vector V1 points along the negative x-axis, so it can be represented as     V1 = -6i (where i is the unit vector in the x-direction).
Vector V2 points at 55° to the positive x-axis, so it can be represented as  V2 = 9cos(55°)i + 9sin(55°)j (where j is the unit vector in the y-direction).

Adding these two vectors gives us:
V1 + V2 = -6i + 9cos(55°)i + 9sin(55°)j
= (9cos(55°) - 6)i + 9sin(55°)j

Now we can find the angle of this vector by using the arctangent function:

angle = arctan(9sin(55°)/(9cos(55°) - 6))
Plugging in the values, we get:
angle = arctan(1.12)
angle ≈ 48.2°

Therefore, the angle of the sum V1+V2 is approximately 48.2°.

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The angle measures of the triangles before and after dilation are the same

Given that, we have a triangle that is dilated to form another triangle by a scale factor of n

The dilation transformation is a rigid transformation

This means that it changes the size of a shape after it is applied

However, the shape and the image would be similar shapes and as such would have their angles unchanged

This means that irrespective of the value of the scale factor n, the angle measures would remain the same

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Answer:

A) y = –3x+8

Step-by-step explanation:

first off, a negative equation means the graph is downward sloping from left to right –> \. So with this in mind you can immediately eliminate C and D because they are upward sloping graphs. B also doesn't work because it doesn't go through (3,–1). This leaves A as the right answer

the constant number is the number on the y-axis. So, for –3x+2, +2 is the y-coordinate on the y-axis. the slope is -3x meaning down 3, right 1. –3x+8 is the only answer that is perpendicular.

The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

What are scientific notations?

Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.

Calculation of the amount by which a bacterial cell is smaller than the amoeba cell

Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)

The length of a bacterial cell in scientific notations is 5 × 10^(- 6)

To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.

= 3.5 × 10^(- 4) / 5 × 10^(- 6)

= 0.7 × 10^(2)

= 7 × 10^(1)

Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

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Answer:  

180 square feet

Step-by-step explanation:

The area of any rectangular place is or surface is its length multiplied by its width. For example, a garden shaped as a rectangle with a length of 10 yards and width of 3 yards has an area of 10 x 3 = 30 square yards. A rectangular bedroom with one wall being 15 feet long and the other being 12 feet long is simply 12 x 15 = 180 square feet.

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(a) The Price Elasticity of Demand function, E(p), can be found by differentiating the demand function with respect to price and multiplying it by the ratio of price to quantity.

(b) ∣E(p)∣ is the absolute value of the Price Elasticity of Demand function.

(c) ∣E(p)∣=1 when the Price Elasticity of Demand is equal to 1, indicating unit elasticity.

(d) Price is inelastic when the absolute value of the Price Elasticity of Demand is less than 1, indicating a relatively low responsiveness of quantity demanded to price changes.

Explanation:

(a) To find the Price Elasticity of Demand function, E(p), we need to differentiate the demand function q(p) = 150 - p^2 with respect to price, p. Differentiating q(p) with respect to p gives us q'(p) = -2p. Then, multiplying q'(p) by the ratio of price to quantity, we have E(p) = (p/q) * q'(p) = (p/(150 - p^2)) * (-2p).

(b) ∣E(p)∣ represents the absolute value of the Price Elasticity of Demand function. In this case, it is the absolute value of (p/(150 - p^2)) * (-2p), which simplifies to 2p^2 / (p^2 - 150).

(c) To find when ∣E(p)∣ = 1, we set the absolute value of the Price Elasticity of Demand function equal to 1 and solve for p. So, |(p/(150 - p^2)) * (-2p)| = 1. This equation can be rearranged to |2p^2| = |(p^2 - 150)|. Since the absolute value of a squared term is always positive, we can simplify this equation to 2p^2 = p^2 - 150. Solving for p, we find p = ±√150.

(d) Price is considered inelastic when the absolute value of the Price Elasticity of Demand is less than 1. So, for |E(p)| < 1, we need 2p^2 / (p^2 - 150) < 1. Multiplying both sides by (p^2 - 150), we get 2p^2 < p^2 - 150. Simplifying further, we have p^2 > 150. Taking the square root of both sides, we find p > √150. Therefore, when price is greater than the square root of 150, the demand is considered price inelastic.

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The values of a nurse records the pulses of 10 of his patients are S- = 3, nu = 2, and S+ = 5.

To determine S-, nu, and S+, we need to calculate the median pulse and then perform calculations based on that.

Step 1: Calculate the median pulse:

Arrange the pulse recordings in ascending order: 61, 77, 78, 88, 88, 90, 91, 91, 93, 95.

The middle value(s) will represent the median pulse.

Since we have 10 recordings, the middle two values are the 5th and 6th values: 88 and 90.

The median pulse is the average of these two values: (88 + 90) / 2 = 89.

Step 2: Calculate S- (number of pulse recordings below the median):

Count the number of pulse recordings below the median (89):

There are 3 recordings below 89: 61, 77, and 78.

S- = 3.

Step 3: Calculate nu (number of pulse recordings equal to the median):

Count the number of pulse recordings equal to the median (89):

There are 2 recordings equal to 89: 88 and 88.

nu = 2.

Step 4: Calculate S+ (number of pulse recordings above the median):

Count the number of pulse recordings above the median (89):

There are 5 recordings above 89: 90, 91, 91, 93, and 95.

S+ = 5.

Therefore, the values of a nurse records the pulses of 10 of his patients are S- = 3, nu = 2, and S+ = 5.

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Answer:

you have to connect an image or provide further information

Step-by-step explanation:

To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).

In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.

To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.

Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.

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The given triangles are obtuse = 36 m, right angled = 225 m and right angled = 2500 m.

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

7.) This triangle is obtuse.

To see this, we can use the Pythagorean theorem:

4*4 + 5*5 = 16 + 25 = 41

6*6 = 36 m

Since 41 > 36, we know that the triangle is obtuse.

8.) This triangle is right.

To see this, we can again use the Pythagorean theorem:

11*11 + 12*12 = 121 + 144 = 265

15*15 = 225 m

Since 265 = 225 + 40, we know that the triangle is right.

9.) This triangle is also right.

We can use the same method as before:

30*30 + 40*40 = 900 + 1600 = 2500

50*50 = 2500 m

Since 2500 = 2500, we know that the triangle is right.

Therefore, The given triangles are obtuse , right angled and right angled.

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To accurately represent men's and women's shoe sizes separately, it is recommended to calculate and compare the average or median shoe size for each group separately.

The problem with the central measure, mean or median, in this case is that the data is not gender-specific and there is a possibility that male and female shoe size distributions are different. Therefore, calculating the average or median shoe size for all students may not accurately reflect the typical male and female shoe sizes, respectively.

For example, if the males in the sample have, on average, a larger shoe size than the females, then the average shoe size of all students might be biased towards the larger size, even if most of the students are female. On the other hand, if you have several boys with very large shoe sizes, the median shoe size of all students may be biased toward the larger size, even if most of the students are women with small shoe sizes.

To accurately represent men's and women's shoe sizes separately, it is recommended to calculate and compare the average or median shoe size for each group separately. Alternatively, a fashion report representing the most common shoe sizes in the data might be a better measure of the centroid.

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To help the farmer find the dimensions of the rectangular field, he can set up an equation based on the given information.

Let's assume the length of the rectangular field is L yards and the width is W yards. The perimeter of the rectangular field is the sum of all the sides, excluding the side along the stream, which is already bordered by the stream itself.

The perimeter of the rectangular field, excluding the side along the stream, is given by:

2L + W = 2000

This equation represents the relationship between the length, width, and perimeter of the rectangular field. By solving this equation, the farmer can determine the dimensions (length and width) of the field that would utilize the 2000 yards of fence.

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Answer:

x = 15°

Step-by-step explanation:

79 = 5x + 4

-4            -4

(75 = 5x) ÷ 5

15°=x

Answer:

x = 15

Step-by-step explanation:

The 79° angle and the angle labeled (5x + 4)° are equal because they are vertically opposite. Therefore, we can equate them and solve the resulting equation:

5x + 4 = 79

⇒ 5x - 4 = 79 - 4                   [Subtracting 4 from both sides]

⇒ 5x = 75

⇒ x = \(\frac{75}{5}\)                                  [Dividing both sides by 5]

⇒ x = 15

Answer:

\(1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC2. m2BDC=3(x-5) and m--BC=x+25,what is MZA3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?\)

Step-by-step explanation:

Answer:

700,000

Step-by-step explanation:

Answer:

700,000

Step-by-step explanation:

7 is the hundred thousand place.

You can't round up, so you replace all the numbers besides 7 with 0's.

We can estimate that Cho will sell around 100 servings of kakigori on a day when the high temperature is 29° Celsius.

Based on the line of best fit for the data, we can estimate the number of servings of kakigori Cho will sell on a day when the high temperature is 29° Celsius.

From the scatter plot, we can see that the line of best fit is increasing as the temperature increases.

By estimating the value on the line of best fit for the temperature of 29° Celsius, we can approximate the number of servings sold. Based on the scatter plot, it appears that the number of servings sold is around 100 when the temperature is 29° Celsius.

Therefore, we can estimate that Cho will sell around 100 servings of kakigori on a day when the high temperature is 29° Celsius.

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The required probability of a sum of 5 or sum of 7 and the first die shows a 3 or the sum of the result is 6 or 8 are 5/18 and 1/18 receptively.

Probability is just the way that logical something is to occur. Whenever we're uncertain about the result of an occasion, we can discuss the probabilities of specific results — how likely they are. The investigation of occasions administered by likelihood is called statistics.

Two fair dice are thrown then the number of  possible way is 6×6 = 36

a) a sum of 5 or sum of 7 :-

The total possible way for dice occurs sum 5 or sum 7 is (1, 4), (2, 3), (3, 2), (4, 1), (1, 6), (2, 4), (3, 4), (4, 3), (5, 2), (6, 1).

So, the total number possible way for dice occurs sum 5 or sum 7 = 10.

Probability = 10/36 = 5/18

Hence, the probability is 5/18.

b) The first dice shows 3 or the sum of the result is 6 or 8 :-

As, first dice shows 3 we have fixed 3 in first dice or results sum is 6 or 8 then second dice possibilities only consist two number either 3 or 5,

So, total possible ways for first dice shows 3 or sum of result is 6 or 8 is (3, 3), (3, 5).

There are only two ways,

Therefore, probability = 2/36 = 1/18

Hence, the probability is 1/18.

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65.6

First find the hypotenuse:

(hyp)²=(opp)²+(adj)² theo. of pyth.

(hyp)²=(11)²+(5)² subt.

(hyp)²=121+25 calc.

√(hyp)²=√146

hyp=12.08cm

sinx = 11/12.08

x=sin-¹(11/12.08)

x=65.6°