A certain amount of money is shared between Harvey and Mike in the ratio 4:3. If Mike gets £ 75 less than Harvey, find the total amount of money.(will mark brainliest)​

All four data  which is  number of questions answered correctly in a multiple-choice quiz and numbers of tickets sold for a football game and heights of members of a baseball team and population of towns within a state are continuous data.

Countable data is referred to as continuous data. The values in this data are not constant and can take on an endless number of different forms. You can also divide these measures up into smaller, independent components. Examples of continuous data include the following: A person's height or weight

in a) number of questions answered correctly in a multiple-choice quiz can be count

b.) numbers of tickets sold for a football game can be count and c.) heights of members of a baseball team can be measure and d.) population of towns within a state can be count .

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Answer:

Step-by-step explanation:

if we divide each side with 2,

(2(y-4))/2>0/2

y-4>0

y>4

Answer:

y  > 4

Step-by-step explanation:

2(y - 4) > 0

Solving the inequality:

Divide each side by 2.

2/2(y - 4) > 0/2

y - 4 > 0

Add 4 to each side.

y - 4+4 > 0+4

y  > 4

Answer: 166.5 inch.

Explanation:

There are a lot of steps to this. First of all, as seen in the picture below, we split the shape into a triangle and a rectangle. We can first find the area of the triangle first, which would be:

[tex]\frac{45}{2}[/tex] = 22.5 inch.

Next, using the pythagoras theorem, we can find the missing side of the triangle. So, we do:

[tex]\sqrt{7.5^2+6^2} = x\\\\\frac{3\sqrt{41} }{2} = x = 9.6[/tex]

Now we have that side, we can calculate the area of the rectangle, which would be 16 x 9 = 144 inch.

So now we can add both areas:

144 + 22.5 = 166.5 inch.

The skier's displacement from his starting point is 127.179 m and makes an angle of 33.78°.

The law of cosines, commonly referred to as the cosine rule or the cosine formula, in trigonometry essentially connects the length of the triangle to the cosines of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.

Given A skier moves 100.0 m horizontally, and then travels another 35.0 m uphill at an angle of 35.0º

base distance = 100 m

We will utilize the cosine rule to determine the magnitude of displacement because the triangle formed by the starting point, where he begins to ascend, and the ending point does not have a 90-degree angle. Cosine law requires a triangle with two sides and an angle between them, both of which are present.

a² = b² + c² - 2.b.ccos(α)

here a is the length of the third side,

b = base = 100m

c = 35 m

and α = 180 - 35 = 135°

so a² = b² + c² - 2.b.ccos(α)

a² = 100² + 35² - 2(100)(35)cos(135)

a² = 10000 + 1225 + 4949.74

a² = 16174.74

a = 127.179 m

and the angle between sides 100m and 127.179 m is given by

cosβ = (a² + c² - b²)/2a.c

cosβ = (127.179² + 35² - 100²)/2(127.179)(35)

cosβ = 0.831

β = cos⁻¹(0.831)

β = 33.78°

Hence displacement from the starting point is 127.179 m and forms an angle of 33.78°.

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The body surface area is 1.7 m²

From the question, we have the following parameters that can be used in our computation:

A = (HW/3600)^(1/2)

Where H is the height in cm and W is the weight in kg.

Substitute the known values in the above equation, so, we have the following representation

A = (160 * 64 / 3600)^(1/2)

Evaluate

A ≈ 1.69 m²

Rounding to the nearest tenth:

A ≈ 1.7 m²

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Answer:

10413000 visitors

Step-by-step explanation:

117% = 1.17

8900000 times 1.17 = 10413000 visitors

So, there were 10413000 visitors in 2007.

The values of x for the different diagrams are given below.

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.

Given:

There are four diagrams.

Diagram 1:

By the alternate exterior angles,

8x + 19 = 139

8x = 120

x = 15

Diagram 2:

By the corresponding angles,

17x - 45 = 108

17x = 153

x = 9

Diagram 3:

By the alternate interior angles,

7x -1 = 13x - 43

6x = 42

x = 7

Diagram 4:

By the consecutive interior angles,

8x + 19 = 139

8x = 120

x = 15

Hence, the solutions for all the values are given above.

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Here we get 1.3 is the growth factor, 0.3 is the growth rate, and 1 is the initial population of amoebas.

Since Madison's population of 1,000 amoebas begins by doubling every hour for a certain number of hours, h.

In other words, the total number of amoebas after one hour is

3*1000=[tex]3^{1}[/tex]*1000.

Total number of amoebas after two hours is equal to 3*3000=[tex]3^{2}[/tex]*1000. The total number of amoebas after three hours is 3*9000=[tex]3^{3}[/tex]*1000.

In a similar manner, the total number of amoebas,

f(h) = [tex](1+0.3)^{h}[/tex]

where the starting amoeba population is 1000. 3 is the population growth factor, and f(h) is the amoeba population after h hours.

Since Tyler begins with a colony of a single amoeba that grows by 30% per hour for a certain length of hours.

In other words, after one hour, there were =[tex](1+0.3)^{1}[/tex]

After two hours, there were a total of =[tex](1+0.3)^{2}[/tex]

After three hours, there were a total of =[tex](1+0.3)^{3}[/tex]

In a similar manner, the total number of amoebas,

f(h) =[tex](1+0.3)^{h}[/tex]

where 1.3 is the growth factor, 1 is the initial population of amoebas and 0.3 is the growth rate.

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Answer: To solve the inequality, we start by isolating the variable n:

-6(n-1) < 3

-6n + 6 < 3

-6n < -3

n > 1/2

And for the other inequality:

2(n+1) > 0

2n + 2 > 0

2n > -2

n > -1

Now, we can plot these solutions on a number line:

[-----1/2-----][-------------n > 1/2----------------]

[-----n > -1-----][-------------]

So, the solution set for the inequality is n > -1 and n > 1/2, which means that n belongs to the interval (1/2, +∞).

Step-by-step explanation:

Answer:

The population of the city in 2020 was 89,500 to the nearest 100 people.

Step-by-step explanation:

The original population in 2010 is 100%.  

If the population is increased by 7.7% from 2010 to 2015, the total percentage in 2015 is 107.7% of the population in 2010.

Convert this to a decimal and multiply by the original population of 87,000 to find the population of the city in 2015.

[tex]\begin{aligned}\implies \sf 107.7\%\;of\;87000&=\sf 1.077 \times 87000\\&=\sf 93699\end{aligned}[/tex]

Therefore, the population of the city in 2015 was 93,699.

The population in 2015 is 100%.  

If the population is decreased by 4.5% from 2015 to 2020, the total percentage in 2020 is 95.5% of the population in 2015.

Convert this to a decimal and multiply by the population in 2015 to find the population of the city in 2020.

[tex]\begin{aligned}\implies \sf 95.5\%\;of\;93699&=\sf 0.955 \times 93699\\&=\sf89482.545 \end{aligned}[/tex]

Therefore, the population of the city in 2020 was 89,500 to the nearest 100 people.

At 0.0175% of the carbon-14 is released each year, rounded to the nearest hundredth.

The amount of carbon-14 released each year can be represented as the rate of change of the amount of carbon-14 in the body of an organism with respect to time.

Where

To find the percent of the carbon-14 that is released each year, we can divide the rate of change by the initial amount of carbon-14 and multiply by 100 to express it as a percentage:

⇒percent released/year =[tex]=100*\frac{ d(y)}{dt}[/tex]/a

[tex]=\frac{-100*y}{a* tau}[/tex] = [tex]-100 * (0.5)^(t / tau) / tau[/tex]

At t = tau, the percent released/year will be[tex]-100 * (0.5)^\frac{(1) }{tau}[/tex],

which is approximately -0.0175 per year.

So,

Therefore, each year approximately 0.0175 percent of the carbon-14 is released, rounded to the nearest hundredth.

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Answer:

(-3,1)

Step-by-step explanation:

The value of x [tex]\frac{-9+3}{2}[/tex] = -3

The value of y [tex]\frac{4-2}{2}[/tex] = 1

Answer:

Mid point is (-3, 1)

Step-by-step explanation:

Let mid point be M

[tex] { \boxed{ \sf{m = ( \frac{x _{1} + x _{2} }{2}} , \: \frac{y _{1} + y _{2}}{2}) }} \\ \\ { \tt{m = ( \frac{ - 9 + 3}{2} , \: \frac{4 - 2}{2} )}} \\ \\ { \tt{m = ( \frac{ - 6}{2}, \: \frac{2}{2} ) }} \\ \\ { \tt{m = ( - 3, \: 1)}}[/tex]

21 feet is the perimeter of the kitchen .

In arithmetic, what is a perimeter?

The perimeter is the space surrounding a shape's edge. Discover how to calculate the perimeter of various forms by multiplying their side lengths. The whole distance that the sides or limits of a rectangle cover is known as its perimeter.

                          The perimeter of a rectangle will be equal to the sum of its four sides because rectangles have four sides.

on a blueprint, a rectangular kitchen has a length = 4 inches

                                                  a width = 3 inches

   So it's width is equal to = 6/4 * 3

                                     = 4.5 feet

   the perimeter of this kitchen is = 2(6 + 4.5 )

                                            = 2 * 10.5 = 21 feet

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Answer:

Podemos utilizar la información proporcionada para escribir la siguiente fórmula y resolverla para encontrar el valor de X, que representa el costo de cada bolsa de naranjas:

6,49 + 8X = 59,53

Para resolver la fórmula, primero debemos despejar la variable X. Restamos 6.49 de ambos lados:

8X = 53,04

Luego, dividimos ambos lados por 8:

X = 6,63

Por lo tanto, cada bolsa de naranjas cuesta $6.63.

Considering all the given information, the probability of a widget being less than or equal to 56 is approximately 0.1587

The formula for converting a value to a standard score, also known as a z-score, is:

z = (x - μ) / σ

Where x is the value of interest, μ is the mean, and σ is the standard deviation.

To find the probability of a widget being less than or equal to 56, we first find the corresponding z-score:

z = (56 - 65) / 9 = -1

We can then use the cumulative distribution function (CDF) of the standard normal distribution to find the probability of a z-score being less than or equal to -1:

P(z ≤ -1) = 0.1587

So the probability of a widget being less than or equal to 56 is approximately 0.1587, or 15.87%.

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Answer: mass of silver is 75g

Step-by-step explanation:

Answer:

x=-153

Step-by-step explanation

3/4(1/6x) + 3/4(16) = 3/7(35/8)-3/7(21)

1/8x+12=15/8-9

8(1/8x+12=15/8-9)

1x+96=15-72

1x+96=-57

x=-153

Answer: The original price of the bracelet before tax can be found using the following formula:

original price = (total price) / (1 + sales tax rate as decimal)

In this case, the total price is 0.72 dollars, and the sales tax rate as a decimal is 0.06. Plugging these values into the formula, we get:

original price = 0.72 / (1 + 0.06)

original price = 0.72 / 1.06

Step-by-step explanation:

The required [tex]f(x) = x/10[/tex] is a valid probability distribution function for a discrete random variable X which can take on the values 0, 1, 2, 3, or 4.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

For a function f(x) to be a valid probability distribution function (pdf) for a discrete random variable X, it must satisfy the following conditions:

Non-negativity: [tex]f(x) = x/k[/tex] is non-negative for all x when k > 0.

Normalization: We need to find the value of k such that the sum of the probabilities for x = 0, 1, 2, 3, 4 is equal to 1.

[tex]f(x) = x/k[/tex] for x = 0, 1, 2, 3, 4.

The sum of the probabilities is given by:

[tex](0/k) + (1/k) + (2/k) + (3/k) + (4/k) = 1[/tex]
[tex]10/k = 1[/tex]

So, k = 10.

Thus,[tex]f(x) = x/10[/tex] is a valid probability distribution function for a discrete random variable X which can take on the values 0, 1, 2, 3, or 4.

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Answer:  We can predict that the rolls will result in a sum greater than 9 approximately 24 times.

Step-by-step explanation: The theoretical probability of both rolls equaling a sum greater than 9 is given as 6/36. To predict how many times the rolls will result in a sum greater than 9 if the experiment is repeated 144 times, we can use the concept of probability.

The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, the probability of both rolls resulting in a sum greater than 9 is 6/36, which simplifies to 1/6. This means that out of every 6 possible outcomes, 1 will result in a sum greater than 9.

To predict the number of times this will occur in 144 repetitions, we can multiply the probability by the number of repetitions:

(1/6) * 144 = 144/6 = 24

Therefore, we can predict that the rolls will result in a sum greater than 9 approximately 24 times if the experiment is repeated 144 times.

The correlation coefficient measures the strength of the linear relationship between two variables. A coefficient of 0.8 implies a strong linear relationship between two variables, a coefficient of 0.25 implies a weak linear relationship between two variables.

0.8: Strong Association

0.25: Weak Association

0.9: Strong Association

0.65: Moderate Association

The correlation coefficient is a numerical measure of the strength of the linear relationship between two variables. Values of the correlation coefficient fall between -1 and +1. A coefficient of 0 implies that there is no linear relationship between two variables. The closer the coefficient is to either -1 or +1, the stronger the correlation. A coefficient of 0.8 implies a strong linear relationship between two variables, a coefficient of 0.25 implies a weak linear relationship between two variables, a coefficient of 0.9 implies a very strong linear relationship between two variables, and a coefficient of 0.65 implies a moderate linear relationship between two variables.

The correlation coefficient measures the strength of the linear relationship between two variables. A coefficient of 0.8 implies a strong linear relationship between two variables, a coefficient of 0.25 implies a weak linear relationship between two variables, a coefficient of 0.9 implies a very strong linear relationship between two variables, and a coefficient of 0.65 implies a moderate linear relationship between two variables.

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Answer:

10

Step-by-step explanation:

25% of 40 1/4*40=40/4=10

Answer:

It's because the graph of arithmetic sequence forms a set of discrete points lying on a straight line.

In Adventures of Huckleberry Finn, at first, Huck feels good about writing to Jim's owner.

Adventure is an exciting experience or undertaking that is usually daring, sometimes risky. Adventures can be dangerous activities such as travel, exploration, skydiving, mountain climbing, diving, rafting or other extreme sports.

here, we have,

Adventures are often undertaken for psychological excitement or to achieve a greater goal, such as the pursuit of knowledge that can only be obtained through such activities.

Adventure not only expands your mind, increasing  courage, but also gives you the opportunity to grow and learn. New environments and cultures are full of meaningful lessons that you may not encounter in your everyday life. Adventures expand the way we see and interact with the world.

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Answer:

y intercept = -3

the slope of the line is 1

Step-by-step explanation:

y intercept is the value of y when x = 0

x = 0 when y = -3

Letters which represent negative integers on a number line are present on the left side of zero and you can also identify them with the minus sign they carry.

What is  number lines ?

Integers are arranged at equal intervals along horizontal, straight lines known as number lines. A number line can be used to visualize all the numbers in a succession. Both endpoints of this line continue indefinitely.

                             The number line is a straightforward straight line with divisions indicated at regular intervals, much like a scale. Any point can be selected as "0," and all positive and negative numbers are arranged to the right and left of the "0" respectively.

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The complete question is -

Identify the letter that represents the following number negative integers on a number line .

Answer:

r = -5

Step-by-step explanation:

To find the value of 'r', use the slope formula.

(4, 2)    ; x₁ = 4  and y₁ = 2

(5 , r ) ;  x₂ = 5  and y₂= r

            [tex]\boxed{slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

         [tex]\dfrac{r -2}{5 - 4 }= -7\\\\\dfrac{r -2}{1}=-7[/tex]

          r - 2 = -7

              r = -7 + 2

             r = -5

Answer: We can use the formula for exponential growth to find the value of the quantity after 23 years:

Q(t) = 8500 * 2^(t/9)

Where Q(t) is the value of the quantity after t years, and t/9 is the number of doublings that have occurred.

Substituting t = 23 into the formula:

Q(23) = 8500 * 2^(23/9) = 8500 * 2^2.56 = 8500 * 12.90 = 109350

So, after 23 years, the quantity has a value of approximately 109,350, rounded to the nearest hundredth.

Step-by-step explanation: