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The equation of the linear regression  is \(\^ y = -7.76\^x + 246.34\)

To determine the line of best fit, we make use of a graphing tool

See attachment for the graph of the line of best fit

From the graphing tool, we have the following calculation summary

The regression Equation is then represented as:

\(\^y = b\^x + a\)

Where:

\(b = \frac{SP}{SSX}\) and \(a = \bar y - b \times \bar x\)

\(b = -\frac{3056}{394}\)

\(b = -7.76\)

Also, we have:

\(a = \bar y - b \times \bar x\)

\(a= 199.8 - (-7.76 \times 6)\)

\(a = 246.34\)

So, the linear regression equation is:

\(\^ y = -7.76\^x + 246.34\)

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Answer:

Step-by-step explanation:

The equation of the linear regression  is

Graphing tool

To determine the line of best fit, we make use of a graphing tool

See attachment for the graph of the line of best fit

The equation

From the graphing tool, we have the following calculation summary

Sum of X = 60

Sum of Y = 1998

Mean X = 6

Mean Y = 199.8

Sum of squares (SSX) = 394

Sum of products (SP) = -3056

The regression Equation is then represented as:

Where:

and

Also, we have:

So, the linear regression equation is:

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The equation of the linear regression is \(\^ y = - 1

The probability of spinning an even number, flipping tails, then spinning an odd number is:

1/9   (as fraction) or 11.11% (as percent)

To find the probability of spinning an even number, flipping tails, then spinning an odd number. We need to consider the individual probabilities. That is:

We have only one even number in the spinner, and that is 2. Thus,

P(even number) = 1/3

For a coin, the probability of head or tail is 1/2. Thus,

P(tail) = 1/2

We have two odd number in the spinner, and that is 1 and 3. Thus,

P(odd number) = 2/3

Therefore, the probability of spinning an even number, flipping tails, then spinning an odd number will be:

P(even, tail, odd) = 1/3 * 1/2 * 2/3

                            = 2/18

                            = 1/9   (as fraction)

In percent:

P(even, tail, odd) =  1/9 * 100

                            = 11.11%

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Average speed of the car will be the total distance traveled in the total time. Taking distance travelled as 150 in 5 seconds we have average speed as. 30×1=30 m

Similar triangles

The image provided with the question shows 3 similar triangles. The lines of length a, m, and 5 are parallel, so the lengths are proportional

The proportionality can be written as:

Operating:

The first two parts of the equalities are the same fraction (when simplified). We can use the last and the first one to find x:

Cross-multiplying:

3(x + 6) = 2*12

Dividing by 3:

x + 6 = 8

Subtracting 6:

x = 2

The coordinates of the other endpoint  of the segment, given its midpoint and one endpoint are (-14, -9)

The Midpoint Formula for a line with endpoints as (x₁, y₁) and (x₂, y₂) is;

((x₁ + x₂)/2, (y₁ + y₂)/2)

We are given the  following;

Midpoint (-15,-6)

End point (-16,-3)

Let x₁ = -16, the x coordinate of the endpoint

Let x₂ = the x coordinate of the unknown endpoint

Let y₁ = -3, the y coordinate of the endpoint

Let y₂ = the y coordinate of the unknown endpoint

Thus, for the x coordinate of the unknown endpoint;

(x1 + x2)/2

(-16 + x₂)/2 = -15

-16 + x₂ = -30

x₂ = -14

For the y coordinate of the unknown endpoint;

(y1 + y2)/2

(-3 + y₂)/2 = -6

-3 + y₂ = -12

y₂ = -12 + 3

y₂ = -9

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As a result, when the camera and the rocket are 4255 feet apart, the rate  trigonometry of change in the angle of elevation after launch is roughly -0.15807 radians/foot.

Trigonometry is the field of mathematics that explores the connection between triangle side lengths and angles. The issue first originated in the Hellenistic era, during the third century BC, as a result of the use of geometry in astronomical investigations. The subject of mathematics known as exact techniques is concerned with certain trigonometric functions and their possible applications in calculations. Trigonometry contains six commonly used trigonometric functions. Their separate names and acronyms are sine, cosine, tangent, cotangent, secant, and cosecant (csc). Trigonometry is the study of triangle characteristics, particularly those of right triangles. As a result, geometry is the study of the properties of all geometric forms.

Where is the camera's angle of elevation and c is the rocket's height above ground level.

We may express the angle of elevation using the given formula as:

r θ = tan⁻¹(c/2000)

c2 + x2 = d2, where d = 4255 ft 2c(dc/dx) + 2x = 0, and dc/dx = -x/c.

When we multiply c by 2000 tan() and x by (d2 - 20002) (since x is the horizontal distance between the camera and the rocket), we get: dc/dx = -(d2 - 20002) / (2000 tan())

tan1(0.02d/2000) = tan1(d/100000)

dc/dx = -(d2 - 20002) / (2000 tan(tan1(d/100000)) = -(d2 - 20002) / (2000 tan(tan1(d/100000)) = -0.005(d2 - 20002) / d

dc/dx = -0.005(42552 - 20002) / 4255 -0.15807 radians per foot

As a result, when the camera and the rocket are 4255 feet apart, the rate of change in the angle of elevation after launch is roughly -0.15807 radians/foot.

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I don't know whether it is correct but I think that that the answer Is b

Answer:

C. 3 1/4

Step-by-step explanation:

USING PEMDAS first do parenthesis (1/3 divided by 1/6). This equates to the number 2. Then you can look at the -(-1/2) because its a double negative, it turns positive. Finally add it all together. 3/4+2+1/2. this becomes 3 1/4

Answer:

c.is the average value for the random variable over many repeats of the experiment.

Step-by-step explanation:

Expected value of a discrete random variable:

To find the expected value of a discrete random variable, we multiply each outcome of the variable by it's probability, which over many repeats of the experiment, will give the average value, and thus, the correct answer is given by option c.

Even though a discrete random variable takes only discrete values, the mean can be a continuous(decimal) value.

Answer:

All of the elements of X are elements of U.

Step-by-step explanation:

The area of this triangle is 21 square units.

From the graph:

The length of the base = 4 + 3 units

= 7 units

The length of the height = 3 + 3

= 6 units

Area of the triangle = 1/2 b *h

= 1/2*7*6

= 1*42/2

= 42/2

= 21 square units.

Therefore the area of this triangle is 21 square units.

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Answer:

113.35

Step-by-step explanation:

Write a function:

f(t)=110e^{rt}

r: grows 0.5%→0.005

f(t)=110e^0.005t

(where t is in hours)

6 hours: no time conversion necessary

Plug in t=6

f(6)=110e^{0.005(6)}

113.349998735

=113.35

Answer:

w is 4.8 meters

Step-by-step explanation:

-perimeter is 15.8 m so all the sides of the rectangle adds up to 15.8.

- a rectangle has 2 sets of equal sides.

-first, do 3.1 times 2 to get the length of the first set of equal sides. This equals to 6.2.

-now 15.8 - 6.2 = 9.6 meters

- 9.6 divided by 2 to find the width, as well as the measurements of the second set of equal sides.

the width, w, is 4.8 meters.

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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The sentence which show correct verb tense usage is The overall outlook is favorable.

Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.

Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.

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The equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52

The first equation is given as

y = 8x - 4

The slope of the above equation is

m = 8

Parallel lines have equal slope

So, the slope of the other line is

m = 8

The equation is then calculated as

y = m(x - x1) + y1

Where

m = 8

(x1, y1) = (-7, -4)

So, we have

y = 8(x + 7) - 4

Expand

y = 8x + 56 - 4

Evaluate the difference

y = 8x + 52

Hence, the equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52

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Answer:

y = 1/3x - 1

Step-by-step explanation:

Answer: 4 is not a prime number

Step-by-step explanation:

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

B

Step-by-step explanation:

16 Divided by 5= 32

32 x 9 = 288

Answer:

B) 288 calories

Step-by-step explanation:

First you would have to divide the calorie amount you have (160) by how many chicken nuggets the calories equal (5), which would give you 32 calories per chicken nugget. Next you multiply 32 (the calories) by 9 (the new amount of chicken nuggets), and you would get 288 calories.

Answer:kbef;eohrjkvoubwe

cv bojbDetectives are unsure whether Kendall Postwell will be able to testify at her trial. They say it is a question of competence. What does this MOST likely mean?

A.

Kendall might be determined to be insane and not qualified to testify.

B.

The evidence in Kendall’s case is inconclusive and doesn’t prove anything.

C.

Kendall is an expert witness who has testified many times before.

D.

The police think it will hurt their case if Kendall chooses to testify.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Arc length= \(\frac{interior angle}{360} 2\pi r\)

The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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Answer:

Fail to reject the null hypothesis

\(CI = (-4.278, 0.478)\)

Step-by-step explanation:

Given

\(n_1=n_2 = 18\)

\(\bar x_1 = 12.7\)    \(\bar x_2 = 14.6\)

\(\sigma_1 = 3.2\)    \(\sigma_2 = 3.8\)

\(\alpha = 0.05\)

Solving (a): Test the hypothesis

We have:

\(H_o : \mu_1 - \mu_2 = 0\)

\(H_a : u1 - u2 \ne 0\)

Calculate the pooled standard deviation

\(s_p = \sqrt\frac{(n_1-1)\sigma_1^2 + (n_2-1)\sigma_2^2}{n_1+n_2-2}}\)

\(s_p = \sqrt\frac{(18-1)*3.2^2 + (18-1)*3.8^2}{18+18-2}}\)

\(s_p = \sqrt\frac{419.56}{34}}\)

\(s_p = \sqrt{12.34}\)

\(s_p = 3.51\)

Calculate test statistic

\(t = \frac{x_1 - x_2}{s_p*\sqrt{1/n_1 + 1/n_2}}\)

\(t = \frac{12.7 - 14.6}{3.51 *\sqrt{1/18 + 1/18}}\)

\(t = \frac{-1.9}{3.51 *\sqrt{1/9}}\)

\(t = \frac{-1.9}{3.51 *1/3}\)

\(t = \frac{-1.9}{1.17}\)

\(t = -1.62\)

From the t table, the p value is:

\(p = 0.114472\)

\(p > \alpha\)

i.e.

\(0.114472 > 0.05\)

So, the conclusion is that: we fail to reject the null hypothesis.

Solving (b): Construct 95% degree freedom

\(\alpha = 0.05\)

Calculate the degree of freedom

\(df = n_1 + n_2 - 2\)

\(df = 18+18 - 2\)

\(df = 34\)

From the student t table, the t value is:

\(t = 2.032244\)

The confidence interval is calculated as:

\(CI = (x_1 - x_2) \± s_p * t * \sqrt{1/n_1 + 1/n_2}\)

\(CI = (12.7 - 14.6) \± 3.51 * 2.032244 * \sqrt{1/18 + 1/18}\)

\(CI = (12.7 - 14.6) \± 3.51 * 2.032244 * \sqrt{1/9}\)

\(CI = (12.7 - 14.6) \± 3.51 * 2.032244 * 1/3\)

\(CI = -1.90 \± 2.378\)

Split

\(CI = (-1.90 - 2.378, -1.90 + 2.378)\)

\(CI = (-4.278, 0.478)\)

Answer:

If the sum of a number and 4 is (X + 4) then twice that is 2(X + 4) which is 2X + 8

Step-by-step explanation:

Answer:

a=0

Step-by-step explanation:

If this is what you are asking, and if I understand it correctly, 8*8=64 and not 8, but 8*0=0, therefore 0 is a solution.

Answer:

8

Step-by-step explanation:

9: 9, 18, 27, 36, 45, 54, 63, 72

12: 12, 24, 36, 48, 60, 72

72 is the first number that can be divided (evenly) by both 9 and 12

Answer:

8

Step-by-step explanation:

9: 9, 18, 27, 36, 45, 54, 63, 72

12: 12, 24, 36, 48, 60, 72

72 is the first number that can be divided (evenly) by both 9 and 12

The tax consequences of the distribution to William in 20X3 would be Dividend of $118,500 and a tax basis in the land of $130,000.

The tax consequences would include the dividend that the William Roy, the shareholder, gets from owning the land. This dividend is:

= Market value of land - Mortgage attached

= 130, 000 - 11, 500

= $ 118, 500

Then, William Roy would have to recognize a tax basis on the land for the fair market value. This means that the tax basis would therefore be $ 130, 000.

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Answer:

\(c=\sqrt{32}\)

Step-by-step explanation:

When we solve for this we should always remember this formula \(a^2+b^2=c^2\) and since we already know a and b we can plug that in to find out what c could be but we won't actually solve it.

\(a^2+b^2=c^2\\4^2+4^2=c^2\\16+16=c^2\\32=c^2\\\sqrt{c^2}=\sqrt{32}\\c=\sqrt{32}\)

So c would equal whatever the square root of 32 is.

The value of the variable x = 21/32

Algebraic expressions are simply described as expressions that are composed of variables, coefficients, terms, constants and factors.

These expressions are also made up of certain arithmetic or mathematical operations.

These operations includes;

From the information given, we have that;

3/8=4/7x

cross multiply the values, we have;

7x(3) = 8(4)

multiply the values and expand the brackets, we get the values;

21x = 32

Divide both sides by the coefficient of the variable x, we get;

x = 32/21

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Area of sector would be,

⇒ Area of sector = 102.6 feet squared

We have to given that,

Radius of circle = 14 ft

Angle θ = 60°

Now, We know that,

Area of sector = [θ/360]πr²

Where, r is radius of circle.

Hence, We can substitute all the values, we get;

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Thus, Area of sector would be,

⇒ Area of sector = 102.6 feet squared

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Answer:

The first one will be da answer

Step-by-step explanation:

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