Let's find the unknown variables in the following cases. ) (a) If C.P. Rs 150 and profit = Rs 12, find profit percent​

The solution to the questions regarding correlation between variables are :

The correlation coefficient (r) is used to determine the strength of relationship between variables.

The price of hamburger and soda shows a strong positive association. This can be infered from the value of the correlation coefficient which is positive and above 0.5

The line equation is written in the form y = mx + b

soda price , x = $7.6

Hamburger price , y = ?

y = 0.72(7.6) + 2.03

y = 6.93

Hence, Cost of hamburger would be $6.93

I don't agree with Sydney's thinking because correlation only evaluates relationship between variables using data provided. There may be many factors which could have caused a certain phenomenon.

However, correlation does not infer causation. Therefore, Sydney is wrong.

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The area of the polygon with the given vertices: (-3,3) (-3,-1) (4,-1) (4,3) is 28 square units

A rectangle is a polygon with four sides. The opposite sides of a rectangle are equal while the angles at the vertex is orthogonal

The following are the data given in the question

polygon with the given vertices' as:

(-3,3)

(-3,-1)

(4,-1)

(4,3)

plotting the given polygon shows it is a rectangle with sides

Length, L =  7 units

Width, w = 4 units

Area if a rectangle is given by

= L * w

= 7 * 4

= 28 square units

The area of the polygon is 28 square units

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A roster of twenty-four players divided into four teams can be represented by the expression 24/4.

Given

24 players total

(4) teams total.

This can be expression as = 24 / 4.

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Answer:

C or the third one

Step-by-step explanation:

Answer:

C: \(5\sqrt{3}\)

Step-by-step explanation:

\(\sqrt{75} = \sqrt{25} \sqrt{3} =5 \sqrt{3}\)

Answer:

8, 6, 4, 2

Step-by-step explanation:

f(n)=-2(n-1)+8

Plug n =1

f(1)=-2(1-1)+8 = - 2*0+8 = 0+ 8 = 8

Plug n =2

f(1)=-2(2-1)+8 = - 2*1+8 = - 2+ 8 = 6

Plug n =3

f(1)=-2(3-1)+8 = -2*2+8 = -4+ 8 = 4

Plug n =4

f(1)=-2(4-1)+8 = -2*3+8 = -6+ 8 = 2

Answer:

(2x+5)(x−2)

Step-by-step explanation:

Factor 2x2+1x−10

2x2+x−10

=(2x+5)(x−2)

Area of the region inside the circle r=4cos(theta) and outside the circle r=2 is 4π/3 + 2√3

A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance. Both well-known Cartesian shapes like ellipses and some less well-known shapes like cardioids and lemniscates can be described by polar curves.

r = 1 − cosθsin3θ

Polar curves are more useful for describing paths that are an absolute distance from a certain point than Cartesian curves, which are good for describing paths in terms of horizontal and vertical lengths. Polar curves can be used to explain directional microphone pickup patterns, which is a useful application. Depending on where the sound is coming from outside the microphone, a directional microphone will take up sounds with varied tonal characteristics. A cardioid microphone, for instance, has a pickup pattern like a cardioid.

The area between two polar curves can be found by subtracting the area inside the inner curve away from the area inside the outer curve.

The figure attached shows the bounded region of the two graphs. The red curve is  r=4cos⁡(θ) and the blue curve is r=2.

The points of intersection of the two curves are

θ = π/3 and 5π/3

The area is calculated as follows:

Since the bounded region is symmetric about the horizontal axis, we will find the area of the top region, and then multiply by 2, so as to get the total area.

A = 2 \(\(\int_{0}^{\pi /3}\) ½ (4 cos (θ)² − ½ (2)² dθ

  =  \(\(\int_{0}^{\pi /3}\) 16 cos2 (θ) − 4dθ

  = \(\(\int_{0}^{\pi /3}\) 8 (1+cos(2θ)) − 4dθ

  =\(\(\int_{0}^{\pi /3}\) 4 + 8 cos (2θ) dθ

  = [4θ + 4sin (2θ)] \(\(\int_{0}^{\pi /3}\)

  = 4π/3 + 2√3

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Answer:

There are a total of 24 players on 4 teams

Step-by-step explanation:

Trynna cheat on your math diagnostic huh. IM TELLING ON YOU!!!

The ordered pair (4,24) represent that there are total 24 players in total 4 teams.

The correct option (A)

The term proportionality describes any relationship that is always in the same ratio.  for example, The number of apples in a crop, is proportional to the number of trees in the orchard, the ratio of proportionality being the average number of apples per tree.

As, proportionality indicates that the two quantities  will increase or decrease at the same rate.

So, here 4 represent on the axis of number of teams.

and, 24 represent on the axis of number of players.

So, the coordinate (4,24) represent there are total 24 players in 4 teams.

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The area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9) is approximately 51.61 square units.

To find the area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9), we can follow these steps:

1. Calculate the vectors PQ and PR by subtracting the coordinates of P from Q and R, respectively.

2. Find the cross product of PQ and PR.

3. Calculate the magnitude of the cross product.

4. Divide the magnitude by 2 to find the area of the triangle.

Step 1: Calculate PQ and PR

PQ = Q - P = (-4 - 1, -3 - 1, -6 - 1) = (-5, -4, -7)

PR = R - P = (6 - 1, 10 - 1, -9 - 1) = (5, 9, -10)

Step 2: Find the cross product of PQ and PR

PQ x PR = ( (-4 * -10) - (-7 * 9), (-7 * 5) - (-10 * -5), (-5 * 9) - (-4 * 5) ) = ( 36 + 63, 35 - 50, -45 + 20 ) = (99, -15, -25)

Step 3: Calculate the magnitude of the cross product

|PQ x PR| = √( (99)² + (-15)² + (-25)² ) = √( 9801 + 225 + 625 ) = √(10651)

Step 4: Divide the magnitude by 2 to find the area of the triangle

Area = 0.5 * |PQ x PR| = 0.5 * √(10651) ≈ 51.61

So, the area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9) is approximately 51.61 square units.

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Complete question is below

Find the area of the triangle determined by the points p(1, 1, 1), q(-4, -3, -6), and r(6, 10, -9)

Answer:

>

Step-by-step explanation:

b is clearly negative

- - = +

so therefore, subtracting the negative will result in a larger answer than adding a small positive to a negative

Hello,

\( \frac{8 {}^{5} }{8 {}^{ - 9} } = 8 {}^{5 - ( - 9)} = 8 {}^{5 + 9} = 8 {}^{14} \)

Answer:

y= -7x +61

Step-by-step explanation:

slope form of the line is

y = mx + b

equation from given point and slope is

5 = -7(8)+ b

5= -56+b

b= 61

y= -7x +61

Answer:

Y=-7x+61

Step-by-step explanation:

y-y=k(x-x)

y-5=k(x-8)

y-5= -7(x-8)

y-5= -7x + 56

y= -7x + 61

Answer:

The Answers Are:

B. The variable h is the independent variable.

C. The number of hours worked causes a change in the number of dollars earned.

D. The variable d is the dependent variable.

Step-by-step explanation:

As you can see on the picture, the more hours you work, the more dollars you get.

d=19h

The statement,B. The variable h is the independent variable. The number of hours worked causes a change in the number of dollars earned. The variable d is the dependent variable are correct.

We have the given options,

A.The variable d is the independent variable.

B. The variable h is the independent variable.

C. The number of hours worked causes a change in the number of dollars earned.

D. The variable d is the dependent variable.

Here d is dependent on hours,

In an experiment, any variable that can be attributed a value without attributing a value to any other variable is called an independent variable.

As you can see below, the more hours you work, the more dollars you get.

Hours        Dollars

1                   19

2                  38

3                  57

4                  76

5                  95

d=19h.

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Answer:

im bad sorry

Step-by-step explanation:

djdjdideoeoepepwpwpwpwpwp

Answer:

H)

sure 100%

Step-by-step explanation:

Mark as Brainliest.

Because I am Indian and solving your question from India.

Answer:

2

Step-by-step explanation:

The approximate size of the cover that Maria will need to buy is 45. 84 square feet

The formula for calculating the circumference of a circle is expressed as;

Circumference = πr²

Where 'r' is the radius of the circle

Now, let's substitute the value of the circumference

24 = 2 × 3. 14 × r

r = 24/6. 28

r = 3. 82 feet

Formula for area = πr²

Substitute value of r

Area = 3. 14 × (3. 82)²

Area = 3. 14 × 14. 59

Area = 45. 84 square feet

Hence, the value is  45. 84 square feet

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Wouldnt the answer be anything above 12? Because if Y is unknown, and you're taking 2 away from it, and it still has to be greater than 10, then it should be anything above 12. Unless it's saying that the number is greater than 10, and you are just taking away 2 from a number and it doesn't have to be greater than 10.

Answer:

0.05 or lower

Step-by-step explanation:

higher than 0.05, the result is non-significant

The government's purchase of new weapons systems has a ripple effect that stimulates economic growth. When the government buys weapons systems from manufacturers, it injects money into the industry, enabling manufacturers to pay their employees.

These employees then spend their earnings on various goods and services, which benefits other businesses. As a result, those businesses can hire more employees and contribute to the expansion of the local economy.

This process can be understood through the concept of the multiplier effect. The initial government spending on weapons systems creates a chain reaction of increased economic activity. The manufacturers, upon receiving payment, allocate those funds to employee salaries, thereby boosting the income and purchasing power of their workers.

These employees, in turn, utilize their income to make purchases from different firms, such as grocery stores, restaurants, or service providers. Consequently, these businesses experience a rise in demand, allowing them to hire more employees to meet the increased consumer needs. This cycle continues, leading to a broader expansion of the local economy as money circulates and creates additional income and employment opportunities.

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Using the central angle theorem, we can find the arm length of BD to be 118units.

Option C is correct.

The angle that an arc occupies at the centre of a circle is twice as large as the angle it occupies anywhere else around the circle's circumference, according to the central angle measure theorem.

Here in the question,

Length of the arc AC = 59.

As we can see that there is a quadrilateral inscribed inside the circle.

Arc AC = 1/2 arc BD

⇒ arc BD = 2 × arc length AC

⇒ arc BD = 2 × 59

⇒ arc BD = 118.

Therefore, the length of the arc BD = 118 units.

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Using the central angle theorem, we can find the arm length of BD to be 118units.

Option C is correct.

The angle that an arc occupies at the centre of a circle is twice as large as the angle it occupies anywhere else around the circle's circumference, according to the central angle measure theorem.

Here in the question,

Length of the arc AC = 59.

As we can see that there is a quadrilateral inscribed inside the circle.

Arc AC = 1/2 arc BD

⇒ arc BD = 2 × arc length AC

⇒ arc BD = 2 × 59

⇒ arc BD = 118.

Therefore, the length of the arc BD = 118 units.

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The answer to your question would be 1530 because the whole number is 1800 and then the 85% would be 153.

Answer:

The answer is (-1,1).

Step-by-step explanation:

Plug y=-x into the first equation and you get x = -1. Then replug into the bottom equation and you get y = 1.

Thus, the answer is (-1,1)

Pls give me brainliest if the answer is correct.

The two triangles ΔRST and ΔUVW are similar to each other by the SAS property.

Two objects are said to be comparable if they have the same shape. Therefore, two figures are said to be comparable in mathematics if they share the same shapes, lines, or angles.

Given that there are two triangles ΔRST and ΔUVW. ΔRST has the angle ∠T = 59° and the sides RT = 15 units and ST = 13 units. The other triangle ΔWVU has the angle ∠W = 59° and the sides WV= 52 units and WU= 60 units.

Firstly the two angles are the same,

∠T= ∠W = 59°

The two sides are dilated by a scale factor of 4,

WV /  ST = 52 / 13 = 4

WU /  RT = 60 / 15 = 4

So these sides are similar.

Hence, from the SAS property, the two triangles are similar.

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Answer:

0/2

Step-by-step explanation:

We need to do the next operation in order to know 2/3 of 36

First, we need to know what is 1/3 of 36 that can be obtained if we divide 36 between 3

then we multiply 12 by 2

and 2/3 of 36

To calculate the standard deviation of hypothetical hours of television watched by high school students per week, we need to use the formula for standard deviation with the given set of numbers.

The standard deviation is a measure of the spread of data around the mean. To calculate the standard deviation of the hypothetical hours of television watched by high school students per week, we need to first determine the mean of the data. Let's say the data set is {10, 8, 12, 6, 14, 10, 8, 16}. The mean is found by adding up all the numbers and dividing by the total number of numbers, which in this case is 10. The sum of the numbers is 84, so the mean is 8.4.

Next, we need to calculate the deviation of each number from the mean. This is done by subtracting the mean from each number. For example, the deviation of the first number (10) is 10 - 8.4 = 1.6. The deviation of the second number (8) is 8 - 8.4 = -0.4 (note that negative deviations indicate values below the mean).

Then, we square each deviation and add up all the squared deviations. This gives us the sum of squared deviations, which is 40.8 for this data set.

Finally, we divide the sum of squared deviations by the total number of numbers minus one, and then take the square root of this value. In this case, the calculation would be:

sqrt(40.8 / (10 - 1)) = 2.31

So the standard deviation of the hypothetical hours of television watched by high school students per week is 2.31 hours. This means that the data is relatively tightly clustered around the mean of 8.4 hours, with most values falling within 2.31 hours of the mean.

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Step-by-step explanation:

That symbol is sigma, which is the sum of that equation from k = 1 to n = 4

Equation is 2(3^n-1)

Since we're going 1 to 4, the sum would be as follows (replacing n with 1, 2, 3, and 4

\(2( {3}^{1 - 1}) + 2( {3}^{2 - 1}) + 2( {3}^{3 - 1}) + 2( {3}^{4 - 1}) = {?}\)

\(2(1) + 2(3) + 2(9) + 2(27) = \)

\(2 + 6 + 8 + 54 = 70\)

Answer:

x > 25.5

Step-by-step explanation:

2.5 < \(\frac{1}{3}\) (x - 18 ) ← multiply both sides by 3 to clear the fraction

7.5 < x - 18 ( ad 18 to both sides )

25.5 < x , then

x > 25.5

Answer:

i will try to get it for u

Step-by-step explanation: