Can i please have help with this

The statement that correctly describes the scatter plot is

A scatter plot is a type of data visualization that displays the relationship between two numerical variables.

It is a graph that uses dots or points to represent the values of each variable, with one variable plotted on the x-axis and the other on the y-axis.

The position of each dot on the graph represents the values of the two variables for a single observation or data point.

Scatter plots are commonly used to identify patterns or relationships between variables, such as correlation or causation.

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The perimeter of the figure is 38.52.

We have,

The perimeter of the figure:

Side + 18 + 18

From the figure,

82 + 90 + x = 180

172 + x = 180

x = 180 - 172

x = 8

Now,

Using trigonometric identities Sin.

Sin 8 = Side/18

0.14 = side/18

side = 0.14 x 18

side = 2.52

Now,

The perimeter of the figure.

= Side + 18 + 18

= 2.52 + 18 + 18

= 38.52

Thus,

The perimeter of the figure is 38.52.

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Answer:

50/100 or 1/2 or 50%

Step-by-step explanation:

total =  30 + 20 + 50 = 100

the probability of choosing a marble that is not blue is equal to the total minus all marbles that are blue therefore 100-30-20=50 therefore the probability is 50/100 or 1/2 or 50%

Angles in standard position with their terminal side in quadrant II have measures between 90 and 180 degrees.

Therefore, the angles that have their terminal side in quadrant II are

120 degrees

135 degrees

150 degrees

165 degrees

So, all of the above angles apply.

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Answer:

Subtract 12 from both sides of the equation

Step-by-step explanation:

Solve for x:

12+x=15

-12       -12

x = 3

Brainlist please.

Answer:

D) Subtract 12 from both sides of the equation.

To solve for x in the equation 12 + x = 15, we need to isolate the variable x on one side of the equation. We can do this by subtracting 12 from both sides of the equation, which gives:

12 + x - 12 = 15 - 12

x = 3

Therefore, the solution for x is 3.

The steps for each expression here is

a.

Step 1: (x)-2

Step 2: 9-2

Step 3: 7

b.

Step 1: 3(y)+2

Step 2: 3*7+2

Step 3: 23

c.

Step 1: 8+((r)/6)

Step 2: 8+(24/6)

Step 3: 12

What is meant by expression?

An expression is a representation of a mathematical equation, logical statement, or string of characters using symbols, numbers, and operators. It can be evaluated to produce a value or result. In programming, expressions can be used to assign values to variables, perform mathematical operations, or compare values. They are an essential part of most programming languages and play a crucial role in the execution of computer programs.

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To calculate a derivative using implicit differentiation, follow these steps:
1. Write down the equation:

2. Differentiate both sides with respect to x:

3. Solve for dy/dx or y':

4. Simplify the result:

Write down the equation:

Start by writing down the equation involving both variables x and y, where y is an implicit function of x.
Differentiate both sides with respect to x: Apply the chain rule, product rule, or quotient rule, as needed, while differentiating both sides of the equation with respect to x.

Remember that when differentiating any term involving y, you'll also need to multiply by the derivative of y with respect to x, denoted as dy/dx or y'.
Solve for dy/dx or y': After differentiating both sides, you will have an equation involving dy/dx or y'.

Solve for this term to find the derivative.
Simplify the result: Simplify your answer as much as possible, if needed.
Remember to use implicit differentiation when the equation is not easily solved for y in terms of x.

It's a powerful technique that helps find derivatives in situations where explicit differentiation isn't feasible.

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The supplementary angle means the sum of angles will be 180°. Hence the supplementary angle (or supplement) to a 55º angle is 125°.

When adding two or more angles, the result is 180°, and such pairs of angles are called linear pairs. The word 'linear' means 'straight', and 180° is also referred to as a straight angle. That is why a linear pair is always 180°.

Given angle is 55°.

To find the supplementary angle or supplement of 55º we must subtract 55º from 180°.

That is Supplement = 180 - 55 = 125°.

This is because supplementary angle means sum of two angles results in 180°.

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Answer:

Greater than 7.

Step-by-step explanation:

To solve for x in the inequality, we need to isolate x on one side of the equation. First, we need to subtract

$ [tex]\large \boxed{\mathrm{1328}}[/tex]

from each side, giving $30x > $210. Then, we divide both sides by 30 to find that x > 7. Therefore, to make the inequality true, x needs to be greater than 7.

Answer:

x = - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

14 = [tex]\frac{8}{3}[/tex] (x + 6) ← multiply both sides by 3 to clear the fraction

42 = 8(x + 6) ← distribute parenthesis

42 = 8x + 48 ( subtract 48 from both sides )

- 6 = 8x ( divide both sides by 8 )

[tex]\frac{-6}{8}[/tex] = x , that is

x = - [tex]\frac{3}{4}[/tex]

Answer:

The new perimeter will be 2 times the old perimeter.

Step-by-step explanation:

Both dimensions are doubled doubled: times 2 or x2 or *2

4*2=8

2*2=4

if both measures are doubled, then the result will be doubled too.

The Domain of the function is = (-∞, 0) U (0, ∞)

The Range of the function is = (-∞, 0] U [0, ∞)

A function that is defined by various mathematical formulas or rules for various segments or intervals of its domain is known as a piecewise function.

In other words, the function is specified piece by piece, with a formula or rule for each individual piece.

When a single formula or rule is unable to adequately capture the behaviour of the function across the entire domain, a piecewise function is frequently used.

The various components of the function may take on various algebraic forms or may merely describe various functions' behaviours or conditions.

The given piecewise function is defined as:

f(x) = x, x > 0

f(x) = 0, x = 0

f(x) = -x, x < 0

Domain:

The domain of a function is the set of all values of x for which the function is defined. In this case, the function is defined for all real numbers except for x = 0 (where there is a discontinuity due to the change in definition).Therefore The function's domain is (-, 0). U (0, ∞).

Range:

The set of all possible values for a function is known as its range. Looking at the given function, we can see that the function takes on all positive values for x > 0, and all negative values for x < 0. At x = 0, the function takes on the value 0. Therefore, The function's range is [-, 0]. U [0, ∞)

Note that the range includes 0, since the function takes on this value at x = 0.

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Answer:

P=9600000000

Step-by-step explanation:

1 point is =0.150119

40x10=400x20=8000x50x400000x10=400000x20=800000x30=240000000x40=9600000000

Approximately 304,657,600 Americans were there in July 2009 based on the estimated 2008 growth rate of 0.88%.

To find the approximate US population in July 2009, we need to apply the growth rate of 0.88% to the initial population in July 2008.

Convert the growth rate from percentage to decimal:

0.88% = 0.0088
Calculate the number of people added to the population in 2008: 302,000,000 * 0.0088 = 2,657,600
Add this number to the initial population to find the population in July 2009:

302,000,000 + 2,657,600 = 304,657,600.

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The volume of the solid figure bis 1465. 33 in³

The formula for the volume of a cylinder is expressed as;

V = πr²h

Such that the parameters are;

From the information given, we have;

Volume = 3.14 × 4² × 18

Multiply the values

Volume = 904. 32 in²

Volume of the smaller cylinder

Volume = 3.1 4 × 4 × 18

Volume = 226. 08 in³

Volume of a cone = πr²h/3 = 3.14 × 8² × 5/3

Multiply the values

Volume = 334. 93 in³

Then, the volume of the solid = 904. 32 + 226. 08 + 334. 93 = 1465. 33 in³

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Answer:

[tex]percentage = \frac{56}{145} \times 100[/tex]

56/145×100

0.386...×100

38.6%

It can be concluded that we are 95 percent confident that the mean increase in the weight of a black bear for each one year increase in the age of the bear is between 7.0 and 18.4 pounds.

What is mean?

In statistics, the mean is one of the measures of central tendency which is nothing but simple average, apart from the mode and median. Mean is  the average of the given set of values. Mean denotes the equal distribution of values for a given set of data.  

A zoologist selected 12 black bears in a Canadian habitat at random to examine the relationship between the age in years, x, and the weight in tens of pounds, y. The 95 percent confidence interval for estimating the population slope of the linear regression line predicting weight in tens of pounds based on the age in years given by 1.272 ±0.570.

From the given data it is clear that the 95 confidence interval given by 1.272±0.570, or (0.702,1.842)

[ 1.272-0.570 = 0.702 and 1.272+0.570= 1.842]

It estimates the relationship between weight in tens of pounds and age in years. So the given data makes us 95 percent confident that the mean increase in the weight of a black bear must be in between 7.02 and 18.42 pounds and it is  for each one-year increase in the age of the bear.

Hence, it can be concluded that we are 95 percent confident that the mean increase in the weight of a black bear for each one year increase in the age of the bear is between 7.0 and 18.4 pounds.

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The maximum height achieved by the rider is given by the equation above. You can calculate this value using the given measurements and plug them into the equation to find the maximum height.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data. It involves the use of methods and techniques to gather, summarize, and draw conclusions from data.

A. The two quantities you would measure for x and y are the time and height, respectively.

B. The equation that relates time and height for an object in projectile motion is given by:

y = y0 + v0y * t - (1/2) * g * t²

where:

y = vertical height at any time t

y0 = initial vertical height (in this case, the height of the ramp)

v0y = initial vertical velocity (in this case, the vertical velocity of the rider at the top of the ramp)

g = acceleration due to gravity (approx. 9.81 m/s²)

t = time elapsed since the rider left the ramp

To apply this equation to the given image, you can put the picture on a grid with the x-axis representing time and the y-axis representing height.

C. To find the maximum height, you need to determine the point at which the rider's height is greatest. From the plotted points, you can see that the maximum height occurs at the point where the curve reaches its apex. You can find this point by calculating the time at which the vertical velocity of the rider becomes zero (i.e., the highest point of the jump). This occurs at the peak of the curve, where the vertical velocity changes from positive to negative. To calculate this time, you can use the equation for vertical velocity in projectile motion:

v = v0y - g * t

where:

v = vertical velocity at any time t

v0y = initial vertical velocity (in this case, the vertical velocity of the rider at the top of the ramp)

g = acceleration due to gravity (approx. 9.81 m/s²)

t = time elapsed since the rider left the ramp

At the peak of the jump, the vertical velocity becomes zero, so we can set v = 0 and solve for t:

0 = v0y - g * t

t = v0y / g

Substituting this value of t into the equation for height, we can find the maximum height:

y = y0 + v0y * (v0y / g) - (1/2) * g * (v0y / g)²

y = y0 + (v0y² / 2g)

Therefore, the maximum height achieved by the rider is given by the equation above. You can calculate this value using the given measurements and plug them into the equation to find the maximum height.

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Once we have found the vertex, we can determine the maximum height achieved by the rider.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data. It involves the use of methods and techniques to gather, summarize, and draw conclusions from data.

To find the highest point the rider achieved on a jump, we need to measure the rider's height at different points during the jump.

A. The two quantities we would measure for x and y would be:

x: the horizontal distance the rider travels during the jump

y: the vertical height of the rider at different points during the jump

B. The equation that describes the rider's motion during the jump would be a quadratic equation in the form of:

y = ax² + bx + c

Where:

a is the coefficient of the quadratic term and represents the acceleration due to gravity

b is the coefficient of the linear term and represents the initial velocity of the rider

c is the constant term and represents the initial height of the rider

C. To find the maximum height, we need to find the vertex of the parabola that represents the rider's motion.

The vertex is the highest point on the parabola and is located at the point (-b/2a, c - b²/4a).

To find the vertex, we need to measure the rider's height at least two different points during the jump.

The two points should be on either side of the vertex to ensure that we have captured the shape of the parabola correctly.

hence, Once we have measured the rider's height at these two points, we can plug the values into the equation and solve for the vertex. Once we have found the vertex, we can determine the maximum height achieved by the rider.

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The line of reflection is reflection across x = −4

Explain the term line

A line is an infinitely long and infinitely thin one-dimensional object that extends in opposite directions. It has no endpoints and is often represented by a straight line with two arrowheads. Lines are a fundamental concept in mathematics and are used to define other objects such as planes, angles, and shapes.

According to the given information

Let's use points A(-3, 3) and A'(-5, 3). The midpoint of the line segment connecting A and A' is ((-3 + (-5))/2, (3 + 3)/2) = (-4, 3). The slope of the line segment connecting A and A' is (3 - 3)/(-5 - (-3)) = 0. Since the line of reflection is perpendicular to this line segment, its slope is the negative reciprocal of 0, which is undefined. This means that the line of reflection is a vertical line.

Since the midpoint of the line segment connecting A and A' lies on the line of reflection and has an x-coordinate of -4, we can conclude that the line of reflection is x = -4.

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We can see here that the amplitude of the function is: A. 3.

The amplitude of a function is the measure of its maximum deviation from its central value. In simpler terms, it is the height of a wave or the distance from the center line to the peak or trough of a function.

For example, in a sine wave, the amplitude is the distance from the center line (or zero) to the highest point of the wave. In mathematical terms, if f(x) is a periodic function with period T, then the amplitude A of f(x) is given by:

A = (f(x)_max - f(x)_min)/2

where f(x)_max and f(x)_min are the maximum and minimum values of f(x) over one period.

Max = 4

Min = -2

A = [4 - (-2)]/2 = 6/2 = 3

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To find the proportion of observations on the Standard Normal Curve between z = -1.8 and z = 0.67, we need to find the area under the curve between these two values.

Using the Standard Normal Table, we can find the area to the left of z = -1.8 and z = 0.67, and then subtract the former from the latter to get the area between them.

The area to the left of z = -1.8 is 0.0359, and the area to the left of z = 0.67 is 0.7486.

Therefore, the area between z = -1.8 and z = 0.67 is:

0.7486 - 0.0359 = 0.7127

So the proportion of observations on the Standard Normal Curve between z = -1.8 and z = 0.67 is approximately 0.7127, or 71.27%.

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If Y is directly proportional to the cube root of x, the percentage increase in y when x is increased by 700% is 100%.

If y is directly proportional to the cube root of x, we can write this relationship as y = [tex]kx^{(1/3)[/tex], where k is the constant of proportionality.

To find the percentage increase in y when x is increased by 700%, we first need to determine the new value of x. An increase of 700% means that x is multiplied by (1 + 700%) = 8. Therefore, the new value of x is 8 times the original value.

Substituting the new value of x into the equation for y, we get:

y = [tex]k(8x)^{(1/3)[/tex]

Simplifying this expression, we can write:

y = [tex]k(2^{3x)^{(1/3)[/tex]

y = k2x

So, we can see that when x is increased by 700%, y is increased by a factor of 2. This corresponds to a percentage increase of 100%.

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There are 144 ways to arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and the consonants appear in alphabetical order

To solve this problem, we can break it down into two parts:

Part 1: Arranging the consonants in alphabetical order
The consonants in UNIVERSALLY are N, R, S, V, and Y. Since we want them to appear in alphabetical order, there is only one way to arrange them: NRSVY.

Part 2: Arranging the vowels so that no two occur consecutively
There are four vowels in UNIVERSALLY: E, I, U, and A. To arrange them so that no two occur consecutively, we can use the following strategy:

1. Start with the two consonants N and R. There are three spaces between them where we can place the vowels: _N_R_. We can place the vowels in these spaces in 4! = 24 ways.

2. Next, we add the consonant S to the left of N. There are now four spaces between S and R: S _ N _ R _. We can place the vowels in these spaces in 3! = 6 ways.

3. We continue adding consonants in alphabetical order and placing the remaining vowels in the available spaces. After adding V and Y, we end up with the following arrangement:

S U N I V E R S A L L Y R

There are 24 ways to arrange the vowels between the consonants at step 1, 6 ways to arrange them at step 2, and only 1 way to arrange them after all the consonants have been added. Therefore, the total number of arrangements that satisfy both conditions is:
24 x 6 x 1 = 144

So there are 144 ways to arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and the consonants appear in alphabetical order.

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The remainder when p(x) = x^4 - 4x³ - 11x² + 66x - 72 is divided by x - 4 is given as follows:

16.

The Remainder Theorem is a theorem in algebra that provides a quick way to find the remainder of a polynomial division problem. The theorem states that when a polynomial f(x) is divided by (x - a), the remainder is equal to f(a).

Hence for this problem, the remainder is given by the numeric value at x = 4, which is calculated as follows:

p(4) = 4^4 - 4(4)³ - 11(4)² + 66(4) - 72

p(4) = 16.

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Answer: If there are 60 questions and the student has to answer 75% of questions then the number of questions the student must answer is 45

Step-by-step explanation:

No of questions= 60,

Answers to be given= 75%

then no of questions to pass the exam= No of questions*Answers to be given in percentage

=60*75/100\

=45

a) To find out how much L is needed to produce 400 toys per hour when K is equal to 20, we can use the production function formula provided, which is Q = 4K + 5L.

To solve for L, we can rearrange the formula as follows: Q - 4K = 5L 400 - 4(20) = 5L 320 = 5L L = 64

Therefore, to produce 400 toys per hour with K = 20, the manufacturer would need 64 units of labor input per hour.

b) Similarly, to find out how much K is needed to produce 500 toys per hour when L is equal to 40, we can use the production function formula: Q = 4K + 5L

Substituting the given values, we get: 500 = 4K + 5(40) 500 = 4K + 200 4K = 300 K = 75

Therefore, to produce 500 toys per hour with L = 40, the manufacturer would need 75 units of capital input per hour.

In conclusion, the production function formula provides a useful tool for toy manufacturers to produce a desired level of output. By manipulating the formula, the manufacturer can also calculate the maximum output possible given a certain combination of inputs.

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The exact amount of copper foil covering the steeple is 720√3 square meters.

The lateral area of the prism is given as 2400 m². We know that the lateral area of a prism is given by the formula:

Lateral area = perimeter of base x height of the prism

Let's denote the side length of the hexagonal base by s. The perimeter of the base is then 6s, and the height of the prism is 100 m. Using the given lateral area, we can solve for s:

2400 = 6s x 100

s = 4 x √15

The base area of the steeple is the same as the base area of the prism, which is given by:

Base area = (3 x √3 x s²) / 2

The steeple is composed of equilateral triangles, so each face of the steeple is an equilateral triangle with side lengths. The area of an equilateral triangle is given by the formula:

Area = (√3 * s²) / 4

The total surface area of the steeple is the sum of the areas of its faces. There are six faces, so the total surface area is:

Total surface area = 6 x Area

Total surface area = 6 x (√3 x s²) / 4

Total surface area = (3 x √3 x s²) / 2

Substituting the value of s we found earlier, we get:

Total surface area = (3 x √3 x (4 x √15)²) / 2

Total surface area = 720 x √3

Therefore, the exact amount of copper foil covering the steeple is 720√3 square meters.

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The standard deviation of the sample mean weight will decrease by a factor of √2, so the answer is C) It will decrease by a factor of 2. The mean of the sample mean weight will remain unchanged, so the answer is E) It will remain unchanged. It is a correct statement, and it is a result of the Central Limit Theorem, so the answer is C) It is a correct statement, and it is a result of the Central Limit Theorem.

When the sample size is doubled, the standard deviation of the sample mean weight decreases by a factor of √2 according to the formula σ/√n, where σ is the standard deviation of the population and n is the sample size. So, The correct answer is C).

The mean of the sample mean weight is an unbiased estimator of the population mean and is not affected by the sample size. Therefore, doubling the sample size will not change the mean of the sample mean weight.  So, The correct answer is E).

The Central Limit Theorem states that the distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the underlying distribution of the population. Therefore, the statement is correct and a result of the Central Limit Theorem.  So, The correct answer is C).

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