Consider the linear function that is represented by the equation y = 2 x + 2 and the linear function that is represented by the graph below.

Which statement is correct regarding their slopes and y-intercepts?
A. The function that is represented by the equation has a steeper slope and a greater y-intercept.
B. The function that is represented by the equation has a steeper slope, and the function that is represented by the graph has a greater y-intercept.
C. The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
D. The function that is represented by the graph has a steeper slope and a greater y-intercept.

A minimum sample size of 62 is needed to be 95% confident that the sample mean is within 2 words of the true population mean, assuming a normal distribution of the number of words per sentence in the book and a population standard deviation of 4 words.

To determine the minimum sample size needed to be 95% confident that the sample mean is within 2 words of the true population mean, we can use the formula for the margin of error:

Margin of error = z * (standard deviation / sqrt(n))

Where z is the z-score for the desired confidence level, standard deviation is the population standard deviation (given as 4 words), and n is the sample size.

We want the margin of error to be no more than 2 words, so we can set up the inequality:

z * (4 / √n) ≤ 2

To find the value of z for 95% confidence level, we can use a z-table or calculator and find that z = 1.96.

Substituting this value into the inequality and solving for n, we get:

1.96 * (4 / √n) ≤ 2

Simplifying and solving for n, we get:

n >= 61.05

Since we can't have a fractional sample size, we can round up to the nearest whole number and conclude that a minimum sample size of 62 is needed to be 95% confident that the sample mean is within 2 words of the true population mean.

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Answer:

w=1

Step-by-step explanation:

8w-12=-4

8w =-4+12

8w=8

8w/8=8/8

w=1

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Answer:

Well first we have to know what -12 is -4. So I know that 8 subtracting 12 is -4 already but, i am explaining to your knowlege so  here I go.

What we can do is add 12 to -4 and it will equal what _-12=-4  

So -4+12=8

Since the variable is with 8, we have to find what the variable w is. So 8x_=8?

Thats obvious right? 8x1=8!

So 8w-12=-4 = 8x1=8-12=-4

Hope this helps and if it helps enough pls mark as brainliest!

Step-by-step explanation:

The sample size required if we wish to develop a 90% confidence interval for the average diameter is more than 0.1 units. 

To decide the test estimate required for a 90% certainty interim for the normal distance across, we have to know the taking after :

1. The level of certainty (which is 90% in this case).

2. The standard deviation of the populace (which we'll expect is known).

3. The margin of error (which is the greatest separation between the test cruel and the genuine populace cruel that we're willing to endure).

Assuming we know the standard deviation of the populace, ready to utilize the equation:

n = (z²* σ²) / E²

where:

n is the test measure

z is the z-score compared to the level of certainty (which is 1.645 for 90% certainty)

σ is the standard deviation of the populace

E is the edge of mistake

We ought to select esteem for E, which speaks to the most extreme separation between the test cruel and the genuine populace cruel(mean) that we're willing to endure.

For case, in the event that we need the interim to have a width of no more than 0.1 units, at that point we would select E = 0.1/2 = 0.05.

So, stopping within the values we know, we get:

n = (1.645² * σ²) / E²

In case we accept that the standard deviation of the populace is 0.5 units (fair as a case), at that point we get:

n = (1.645² * 0.5²) / 0.05²

n = 67.65

Adjusting up to the closest numbers, we would require a test estimate of 68 to create a 90% confidence interim for the normal breadth with an edge of blunder of no more than 0.1 units. 

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The most important statistic that is obtained through nasometry is the mean nasalance score. Nasometry is a measure of nasalance, which refers to the amount of sound energy that is transmitted through the nose during speech production.

This measure is obtained by comparing the acoustic energy of the sound produced by the mouth and the sound produced by the nose. The mean nasalance score provides information about the average amount of nasality in a person's speech, which can be useful in diagnosing and treating speech disorders such as cleft palate or velopharyngeal insufficiency. The other terms mentioned, such as fundamental frequency and range, are not directly related to nasometry or nasalance.

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The correct option is (b) 356 in2.

Surface area is the measure of the total area that the surface of a three-dimensional object occupies. It is the sum of the areas of all the faces or surfaces of the object.

According to the given information:

The surface area of a rectangular prism can be calculated by adding up the areas of all six faces. The formula for the surface area of a rectangular prism is:

Surface Area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the prism, respectively.

In this case, the length, width, and height of the rectangular prism are 14 inches, 8 inches, and 3 inches, respectively. Substituting these values into the formula, we get:

Surface Area = 2(14)(8) + 2(14)(3) + 2(8)(3)

= 224 + 84 + 48

= 356

Therefore, the surface area of the rectangular prism is 356 square inches. Hence, the correct option is (b) 356 in2.

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Three points can define the two distinct vectors AB and AC (A, B, and C). The two vectors' cross product, which they both lie on, may be utilized as the plane's normal.

It is logical to assume that this is the case since a plane contains precisely two linearly independent vectors since it has a dimension of two. If the three points were collinear, there wouldn't be two linearly independent vectors; instead, the origin and tips of the two vectors are the three points.

The three points that make up a plane in a three-dimensional space can be used to define it as long as they are not on the same line. On a plane, there exist at least three non-collinear points. A line that connects any two locations in a plane is also considered to be a part of the plane. A line is created at the place of intersection when two planes clash.

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If x and y are independent variables such that x has uniform distribution (0,1) and y has exponential distribution means 1 then e (X+Y) is 3/2, E(XY) is 1/2, E (x-y)2 is 4/3 and E x2 e24 is -1/3

\(2^{2}\)\(e^{ty}\)x ≈ u (0,1) > Independent

y ≈ exp (1) > Independent

E (x) = 0+1/2 = 1/2

v (x) = \([1- 0 ] ^{2}\) / 12 = 1/12

E \(x^{2}\) = v (x) + \([ E x]^{2}\)

       = 1/12 + 1/4 = 1+3/12 = 4/12 = 1/3

E (y) = 1  v(y)=1  E \(y^{2}\)= 1+1= 2

E\(e^{ty}\) = \(\int\limits^_0\)\(e^{ty}\)\(e^{-y} dy\)

E\(e^{ty}\)  = \(\int\limits^_0\)\(e^{-y} (1-t)\) dy

a : E (x+y) = E (x) + E(y)

       E (x+y) = 1/2+1 = 3/2

b: E (xy) = E (x) E(y) = 1/2 x 1 = 1/2

c: E \([x-y]^2\) = E (\(x^{2}\)-2xy+ \(y^{2}\)

   = E \(x^{2}\) - 2 Exy + E \(y^{2}\)

  =  1/3 - 2 x 1/2 + 2

   = 1/3 + 1 = 4/3

d. E \(x^{2}\) \(e^{24}\)

   E (\(x^{2}\) ) E \(e^{24}\) = 1/3 x -1 = - 1/3

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Answer: Ok I don’t have the answer but I have an example!

Step-by-step explanation: Solve for x and check: x + 5 = 3. Solution.

I hope this help maybe it might or might not give you the answer for your question I tried. ✨I hope this help!✨

Given the midline and the minimum point, The amplitude of the trigonometric function is 2.3

To determine the amplitude of a trigonometric function, we need to consider the vertical distance between the midline and the maximum or minimum point. The amplitude represents half of this vertical distance.

In this case, the midline intersects at (2/3π, 1.2), and the minimum point is at (4/3π, -3.4).

The vertical distance between these two points can be calculated as:

Vertical distance = y-coordinate of the minimum point - y-coordinate of the midline

= (-3.4) - 1.2

= -4.6

Since the amplitude is half of this vertical distance, we have:

Amplitude = 1/2 × Vertical distance

= 1/2 × (-4.6)

= -2.3

Therefore, the amplitude of the trigonometric function is 2.3. Note that the amplitude is always a positive value.

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It will take 29.4 years for the population of Africa to be two times what it is today. This reflects: doubling time.

Doubling time is the time it takes for a particular amount of size or value to double at a given growth rate. By applying the 70 rules, we can find the doubling time of the exponentially increasing population. To do this, divide 70 by the growth rate (r).

Rule of 70 is a simplified way to determine the doubling time using the equation doubling time = 70 / r. Where r is the percentage growth rate of the population. For example, if the population of 10 species increases by 2 individuals per year, the r value will be 20%.

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Answer : value of x and y in the matrix equation is:

x = -3

y = +4, -4

Step-by-step explanation :

The matrix expression is:

\(\left[\begin{array}{ccc}x+4\\y^2+1\end{array}\right]+\left[\begin{array}{ccc}-9x\\-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

First we have to add left hand side matrix.

\(\left[\begin{array}{ccc}(x+4)+(-9x)\\(y^2+1)+(-17)\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

Now we have to add left hand side terms.

\(\left[\begin{array}{ccc}x+4-9x\\y^2+1-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

\(\left[\begin{array}{ccc}4-8x\\y^2-16\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

Now we have to equating left hand side matrix to right hand matrix, we get:

\(\Rightarrow 4-8x=28\text{ and }y^2-16=0\\\\\Rightarrow 8x=4-28\text{ and }y^2=16\\\\\Rightarrow x=-3\text{ and }y=\pm 4\)

Therefore, the value of x and y in the matrix equation is -3 and +4, -4 respectively.

Answer:

D is wrong. The correct answer choice is C ( x=-3 and y= +4, -4)

Step-by-step explanation:

Math unit test review

Answer: First option

Step-by-step explanation:

Answer:

The correct answer is A. 8 feet by 4 feet by 3 feet & E. 3 feet by 5 feet by 7 feet

Step-by-step explanation:

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Two-tailed because there is no predicted direction of the difference. The correct answer is D.

In hypothesis testing, a one-tailed test is used when the researcher has a specific prediction about the direction of the effect. They expect the results to be either greater than or less than a certain value. However, in this scenario, the researcher simply wants to investigate whether the new type of exercise improves people's health without any specific directional prediction.

A two-tailed test is appropriate when the researcher wants to determine if there is a significant difference between the groups being compared, but without specifying the direction of the difference. In this case, the researcher wants to examine if the new exercise has any effect on health, whether it improves or worsens it. Therefore, a two-tailed test is suitable as it allows for the possibility of observing a significant difference in either direction.

Therefore, considering these factors, the researcher should conduct a two-tailed test to assess the potential impact of the new exercise on people's health. The correct answer is D.

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Kate's mistake was in Step 2: "Divide the volume of Wesley's tank by 2." Since she wants a tank with half the volume of Wesley's tank, she should have divided the volume of Wesley's tank by 2, not the radius.

The correct approach would be to use the formula for the volume of a sphere:

V = (4/3)πr^3

Since Wesley's tank has a diameter of 30 cm, its radius is 15 cm. Substituting this value into the formula gives:

V = (4/3)π(15)^3

V ≈ 14,137 cm^3

To find the radius of the smaller tank with half the volume, Kate should have solved for the radius using the formula for the volume of a sphere:

(4/3)πr^3 = (1/2)(4/3)π(15)^3

Simplifying this equation gives:

r^3 = (1/2)(15)^3

r ≈ 10.8 cm

Therefore, the approximate diameter of the smaller tank should be 21.6 cm (twice the radius), not 10.8 cm.

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Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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Answer:

(7/2, 1/2)

Step-by-step explanation:

Midpoint Formula: ((x_1 + x_2) / 2, (y_1 + y_2) / 2)

((5+2) / 2, (-8 + 9) / 2)

(7/2, 1/2)

Answer:

(-1.5/17)

Step-by-step explanation:

Step-by-step explanation:

do you mean 6.70 because if you do I think it is 7 but I am not sure

Answer:

Step-by-step explanation:120

The perimeter is :

Work:

Assuming you're asked to find the perimeter of a rectangle, I set to work.

The formula is A = LW, where A is the area, L is the length and W is the width.

Diagram

\(\boxed{\begin{tabular}{c}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\\\\\end{tabular}}}\sf{~~42\:ft}\\\sf{~~~~~~18~ft}\)

Plug in the values.

Based on the data displayed, Mr. Simpson's class lost the most pencils overall.

The median value for Mr. Simpson's class is 14.5 pencils, which is higher than the median value for Mr. Johnson's class, which is 11 pencils.

The box plot for Mr. Simpson's class also has a narrower spread in the data, which means that the data is more consistent and less variable compared to Mr. Johnson's class, which has a wider spread in the data.

Therefore, based on the given information, we can conclude that Mr. Simpson's class lost the most pencils overall.

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Answer:

81.632

Step-by-step explanation:

For my answer what i did was i know that 1 kg is equal to 2.205 lbs so what id was i divided 2.205 lbs by 180 kg

Answer:

The Answer is A.

Step-by-step explanation:

1) You subtract fractions first to make this look easier to solve. now you just have 6 2/12 - 3.

2) Now subtract the 3 from the 6, then you have your 3 2/12 or A.

3) Enjoy the answer.

The area of the regular figure of side length 24 cm is 1496.45 square centimeter.

The given regular figure is a hexagon.

A hexagon is a polygon with six sides and six angles.

It is a two-dimensional shape formed by connecting six straight line segments.

The side length of hexagon is 24 cm..

The formula for the area of a regular hexagon is 3√3/2 a².

Where a is the side length of hexagon.

Area =  3√3/2 a².

Plug in a value as 24:

Area = 3√3/2 ×24²

= 3√3×576/2

=2992.9/2

=1496.45 square centimeter.

Hence, the area of figure is 1496.45 square centimeter.

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Find the area of the regular figure below:​