I would like a little help please.

Gru has 20 minions. The minion population increases by 20 each week. El Macho has 80 evil minions. His population decreases by 10 minions each week. When will they have the same number of minions? How many minions??

x:

y:

solution:

system:


meaning of solution:

The statements that are  true about simple linear regression and correlation are Both i) and iii). option b is correct.

Which statements are true about simple linear regression and correlation?

Statement i) The least-squares regression line always goes through the point with coordinates \((\bar{X}, \bar{Y})\)

Statement iii) The least-squares regression line minimizes the summation of residuals.

To determine the true statements, let's analyze each option:

i) The least-squares regression line always goes through the point with coordinates \((\bar{X}, \bar{Y})\) : This statement is true. The least-squares regression line is calculated to pass through the point with the mean of the predictor variable \((\bar{X})\) and the mean of the response variable \((\bar{Y})\).

ii) If the correlation between response and predictor is greater than 0, then the slope of the least squares regression line is always positive: This statement is not necessarily true. The correlation between the response and predictor variable indicates the strength and direction of the linear relationship, but it doesn't determine the sign of the slope.

iii) The least-squares regression line minimizes the summation of residuals: This statement is true. The least-squares regression line is the line that minimizes the sum of the squared residuals, which are the differences between the observed and predicted values.

Based on the analysis, both statement i) and statement iii) are true.

Therefore, the answer is that both i) and iii) are true about simple linear regression and correlation, which is option b)

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Given that the sample space is  set {1, 2, 3, 4, 5, 6}, we can conclude that the  A. The number rolled is neither prime nor even.

This is the mathematical term that is used to refer to a number that is divisible by itself and also by 1.

This is a number which cannot be divided by 2 to give us a singe integer. This is the term that tells us that a number when divided by 2 would produce a remainder.

This is the term that is used to refer to the set of possible outcomes that comes out in a random experiment. It is usually written in braces. For example when we throw a dice, the set of possible outcome would be from 1 to 6. This is usually written in braces.

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The inequality to find the domain is 1/2x - 10 ≥ 0

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

f(x)=√((1)/(2)x - 10) + 3

Set the radicand greater than or equal 0 to find the domain

So, we have

1/2x - 10 ≥ 0

Hence, the inequality is 1/2x - 10 ≥ 0

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The other fraction is \(1\frac{1}{55}\).

Provided that ,

One fraction = \(9\frac{3}{7}\) = \(\frac{66}{7}\)

The product of their fraction = \(9\frac{3}{5}\) = \(\frac{48}{5}\)

We have to find out the other fraction.

When one fraction and their product are given, the formula to find out another fraction = product / one fraction

So, the other fraction = \(\frac{48}{5}\) / \(\frac{66}{7}\)

= \(\frac{48}{5} * \frac{7}{66}\)

= 336/330

= 56/55 [divided both the numerator & denominator by 6]

= \(1\frac{1}{55}\)

Therefore it is concluded that the other fraction is \(1\frac{1}{55}\) .

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Answer

Quadrant I

Step-by-step explanation

Hence, point A is located on the Quadrant I

Answer: t ≈ 2,403,603

Step-by-step explanation:

z = the z-score associated with the desired level of confidence (for a 5% precision, z = 1.96)

σ = the standard deviation of the background count rate (which is equal to the square root of the background count rate)

E = the desired level of precision (in this case, 5% or 0.05)

Substituting the given values, we get:

σ = sqrt(600) = 24.49

t = (1.96 * 24.49 / 0.05)^2

Answer:

99 degrees

Step-by-step explanation:

Angle 3 and 4 added together is 180 degrees since it is a straight line.

if you know angle 3 is 81 degrees, then angle 4=180-81=99

Answer:

99 is the measure of angle 4

Step-by-step explanation:

Two parralel lines cut by a transversal.

This is all you gotta remember

Alternate interior angles (4 and 6, 3 and 5) are congruent (equal)

Altenrate exterior angles (1 and 7, 2 and 8) are congruent (equal)

Corresponding angles (2 and 6, 3 and 7, 1 and 5, 4 and 8) are congruent (equal)

Same side interior angles (3 and 6, 4 and 5) are supplementary (equal to 180 if added up)

Same side exterior angles, (2 and 7, 1 and 8) are supplementary (Equal to 180 if added up)

Same line, opposite transversal (4 and 3, 5 and 6, 8 and 7, 1 and 2) are also supplementary.

Answer:

c = 60

Step-by-step explanation:

A triangle = 180 degrees

180-(15+105)=c

c=60

Answer: 154

Step-by-step explanation:

\(a_1=4,\ d=6\quad \rightarrow \quad a_n=4+6(n-1)\quad \rightarrow \quad a_n=6n-2\\\\\\\sum^7_{n=1}6n-2\\\\\\a_1=4\\a_7=40\\\\\\S_n=\dfrac{a_1+a_7}{2}\cdot n\qquad =\dfrac{4+40}{2}\cdot 7\qquad =22\cdot 7\qquad =\large\boxed{154}\)

Answer:

154 I think

Step-by-step explanation:

Step-by-step explanation:

Using distance formula    d^2 = (x1-x2)^2 + (y1-y2)^2

d^2 = (5- -3)^2  + ( 4 - -1)^2

d^2 = 8^2 + 5^2

d^2 = 89

d = sqrt 89    =   9.43 units

The area of the sector in terms of pi is: 75π cm²

The Length of arc = 15π cm

Area of a sector = ∅/360 * πr²

Length of arc = ∅/360 * 2πr, where r is the radius and ∅ is the reference angle.

Given the following:

Reference angle (∅) = 270°

Radius of circle (r) = 10 cm

Area of the sector = 270/360 * π * 10²

Area of the sector = 75π cm²

Length of arc = 15π cm

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Based on the given information, we can conclude that there is a point of inflection at x = -3. This is because f''(-3) is non-zero and changes sign from negative to positive, indicating a change in the concavity of the function at that point. However, we cannot determine whether there is a maximum or minimum at x = -3, as this would require additional information such as the sign of f'(-3) or the behavior of the function in the surrounding area.
Given the provided information, we have:

1. f(-3) = 2
2. f'(-3) = 0
3. f''(-3) = 1

Since f'(x) is the first derivative of the function, it represents the slope of the tangent line at a given point. With f'(-3) = 0, it indicates that there is a horizontal tangent line at x = -3, which is a potential max or min point.

Since f''(x) is the second derivative of the function, it represents the concavity of the function at a given point. With f''(-3) = 1, it indicates that the function is concave up at x = -3, which means there is a local minimum at x = -3.

So, given the information, we can conclude that f(-3) is a local minimum.

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Answer:

180 degree rotation

Step-by-step explanation:

Answer:

Reflect across the y-axis

Translate horizontally 7 units right

Step-by-step explanation:

Alright I'll try to quickly answer this for you.

Firstly you could try reflecting figure P across the y axis. That would mean multiplying the whole function times -1.

So a point like (-2,3) would be come (-2,-3), and then visualize moving that point to where it would be on figure Q. It looks like it would be on (5,-3) on figure Q. So to take (-2,-3) to (5,-3) you translate it horizontally 7 units right.

The cost of 11.5 sheets of stickers costs is $40.25.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, four sheets of stickers cost $14.

Now, the cost of 1 sheet of stickers is 14/4

= $3.5

The cost of \(11\frac{1}{2}\) =11.5 sheet of stickers is

11.5×3.5

= $40.25

Therefore, the cost of 11.5 sheets of stickers costs is $40.25.

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In the given options, only option C has the form of a second-degree function, y = x², where a=1, b=0, and c=0.

Therefore, the correct answer is C.

What is the polynomial equation?

A polynomial equation is an equation in which the variable is raised to a power, and the coefficients are constants. A polynomial equation can have one or more terms, and the degree of the polynomial is determined by the highest power of the variable in the equation.

The function y = x² is a second-degree function because it contains a variable, x, raised to the second power.

Option A, y = x, is a first-degree function because it contains a variable, x, raised to the first power.

Option B, y = 3x - 7, is a first-degree function because it contains a variable, x, raised to the first power.

Option D, y = 3, is a constant function because it does not contain any variable raised to any power.

Therefore, the answer is option C, y = x² has the form of a second-degree function.

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Answer:

Step-by-step explanation:

Given:

Rational numbers are those in the form of p/q

All the given numbers are rational but √3

Correct option is

Answer:

Square root of 3

Step-by-step explanation:

Answer:

What technology devices do you use everyday?

Step-by-step explanation:

Christian is trying to see which technology device is the most popular. The first question doesn't ask about different types of technology devices, but rather the amount of time spent on them. The second asks what they are used for and the third asks if you have a technology device. Neither of these questions answers which device is the most popular, except for the fourth or last option. Which technology devices are used everyday can help him see which one is the most popular.

Answer:

What technology devices do you use everyday?

Step-by-step explanation:

Christian is trying to see which technology device is the most popular. The first question doesn't ask about different types of technology devices, but rather the amount of time spent on them. The second asks what they are used for and the third asks if you have a technology device. Neither of these questions answers which device is the most popular, except for the fourth or last option. Which technology devices are used everyday can help him see which one is the most popular.

The area of the triangle T is approximately 12.165 square units.

To find the area of the triangle T with vertices O(0,0,0), P(1,2,4), and Q(6,5,4), we can use the formula for the area of a triangle in three-dimensional space.

The area of a triangle can be calculated as half the magnitude of the cross product of two of its sides.

Let's take the vectors OP and OQ as two sides of the triangle T. The vector OP is given by:

OP = P - O = <1, 2, 4> - <0, 0, 0> = <1, 2, 4>

The vector OQ is given by:

OQ = Q - O = <6, 5, 4> - <0, 0, 0> = <6, 5, 4>

Now, we calculate the cross product of OP and OQ:

N = OP x OQ

N = | i j k |

| 1 2 4 |

| 6 5 4 |

Expanding the determinant:

N = i * (24 - 54) - j * (14 - 64) + k * (15 - 62)

N = i * (-12) - j * (-20) + k * (-7)

N = <-12, 20, -7>

The magnitude of the vector N is given by:

|N| = \(\sqrt{(-12)^2 + 20^2 + (-7)^2}\)

|N| = \(\sqrt{(144 + 400 + 49)}\)

|N| = \(\sqrt{593}\)

|N| ≈ 24.33

Finally, the area of the triangle T is half the magnitude of N:

Area = \(\frac{1}{2}\) * |N|

Area ≈  \(\frac{1}{2}\)  * 24.33

Area ≈ 12.165

Therefore, the area of the triangle T is approximately 12.165 square units.

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The standard deviation for the population is d) 10.

Standard deviation is the parameter that measures how the number spread. Standard deviation can be determined as standard error multiplied by the square root of the population. It can be written as

σ = SE x √n

where σ is standard deviation, SE is standard error and n is the number of populations.

From the question above, we know that :

n = 25

SE = 2

By using the standard deviation formula, we get

σ = SE x √n

σ = 2 x √25

σ = 2 x 5

σ = 10

Hence, the standard deviation for the population is 10.

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Answer:

138 feets

Step-by-step explanation:

Given that :

Angle of depression (α) = 16°

Elevation = height = 450 feets

Appling trigonometry :

From the picture attached :

Height / elevation = 450 feets (Adjacent)

Distance = d (opposite)

Tan α = opposite / Adjacent

Tan 17 = d / 450

450 tan17 = d

450 * 0.3057306 = d

d = 137.57880

Hence, distance between a point on the ground directly below the helicopter and the landing pad 138 feets

The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.

Given that,

The helicopter is flying at an elevation of 450 feet.

It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘.

We have to determine,

The distance between a point on the ground directly below the helicopter and the landing pad.

According to the question,

The angle of depression =  16°,

Elevation = height = 450 feet

And d is the distance,

The angle of depression is an important component used in trigonometric operations.

The angle of depression is formed when the observer stands on a ground higher than the object which he is trying to observe.

Therefore, The angle of depression is,

\(Tan16 = \dfrac{d}{450}\\\\0.28 = \dfrac{d}{450}\\\\d = 450 \times 0.28\\\\d = 129.03 \ feet\)

Hence, The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.

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The national average for energy usage per home in BTU is approximately 90 BTU.

BTU stands for British Thermal Unit, which is the amount of energy required to raise the temperature of one pound of water by one degree Fahrenheit. It is used to quantify the amount of energy consumed by heating or cooling equipment.In California, people use 63 BTU of energy per home, which is 30% less than the national average. Therefore, to calculate the average BTU consumption for American households, we will use the following formula: National average BTU = California BTU / (1 - 30%)

Let's solve for the national average BTU: National average BTU = 63 BTU / (1 - 0.30)

National average BTU = 63 BTU / 0.70National average BTU = 90 BTU

Therefore, the average American household uses 90 BTU of energy per home.

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===================================================

Explanation:

Problem 1

If we had the two vectors u = <a,b> and v = <c,d>, then adding them gives us

u+v = <a+c,b+d>

The corresponding coordinates pair up and add together.

In this case we have

u = <-3,4>

v = <6,8>

So,

u+v = <-3+6,4+8>

u+v = <3,12>

---------------------

Problem 2

We follow the same idea as the previous problem.

w = <8,-1>

g = <-1,1>

w+g = <8+(-1),-1+1>

w+g = <7,0>

---------------------

Problem 3

Similar to addition, subtracting vectors has us subtract the corresponding coordinates.

The general template is:

u = <a,b>

v = <c,d>

u-v = <a-c,b-d>

With this in mind, we can say the following:

g = <-1,1>

z = <-3,-3>

g-z = <-1-(-3),1-(-3)>

g-z = <-1+3,1+3>

g-z = <2,4>

---------------------

Problem 4

Follow the same idea as problem 3 above.

v = <6,8>

u = <-3,4>

v-u = <6-(-3),8-4>

v-u = <6+3,8-4>

v-u = <9,4>

---------------------

Problem 5

Refer to problem 1.

y = <1,1>

v = <6,8>

y+v = <1+6,1+8>

y+v = <7,9>

---------------------

Problem 6

u = <-3,4>

h = v+y = y+v = <7,9>

u+v+y = u + h

u+v+y = <-3,4> + <7,9>

u+v+y = <-3+7,4+9>

u+v+y = <4,13>

Notice how I built off the result of problem 5 when I used h = v+y. The vector v+y is the same as y+v because the order of addition doesn't matter. Also, the idea mentioned in problem 1 can be extended for more than two vectors.

Answer:

19/15 is the answer

Answer:

a*(20-a)

Step-by-step explanation:

Let's assume that the length of the garden is a the width is b and the area is s.

b = 40/2 - a = 20-a

s =a*(20-a)=-a^2+20a=-(a-10)^2+100

then,

when a=10, max(-(a-10)^2) =0, max(s)=100

To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer: (0, 5/7)

Step-by-step explanation:

The y intercept is when x = 0

\(10*0+7y=5\\7y=5\\y=5/7\)

Question: Which is an equivalent form of the expression 1800(1.2)-t?

Answer: 1800 (5/6)-t

Answer:

You should keep them!

Step-by-step explanation:

You must have worked hard, so you deserve those points!

Answer:

keep it :)

Step-by-step explanation:

Yes, frequency distributions are a useful way to organize and summarize data.

A frequency distribution shows how often each value or category occurs in a dataset. It is often presented as a table or chart that displays the counts or percentages of each value or category.

Frequency distributions can help us to understand the distribution and patterns in the data.

They can be used to identify the most common or rare values or categories, and to detect outliers or unusual patterns. They can also be used to compare different datasets or subsets of a dataset.

For example, in a survey of students' ages, a frequency distribution can be used to show how many students fall into each age group, such as 18-21, 22-25, etc. This can help us to understand the age distribution of the student population and identify any trends or patterns.

In another example, a frequency distribution can be used to summarize the number of sales made by a salesperson in a month. This can help us to identify the most and least successful salespeople, and to understand the distribution of sales across the team.

Frequency distributions can also be used to summarize categorical variables, such as gender or occupation. For example, a frequency distribution can be used to show how many people fall into each category, such as male or female, or doctor or engineer.

In summary, frequency distributions are a useful tool for organizing and summarizing data, and can provide insights into patterns and trends in the data. They are commonly used in data analysis and can be used to compare different datasets or subsets of a dataset.

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A column chart is an excellent tool for comparing values side by side, broken down by category. With its clear and concise display of data, it is an invaluable asset for businesses, researchers, and anyone looking to understand complex information quickly and easily.

To compare values side by side, broken down by category, a column chart is an effective tool. Column charts are ideal for comparing data across different categories or groups, as they clearly display the differences between values. When creating a column chart, the categories are listed on the horizontal axis, and the values are listed on the vertical axis. Each column represents a different category, and the height of the column corresponds to the value of that category. Column charts can be customized to fit specific needs, such as adding colors or labels to each category. They are also versatile and can be used to display a wide range of data, from sales figures to survey results. You should use a bar chart to compare values side by side, broken down by category. Bar charts are a helpful visualization tool that allows you to compare data across different categories in an easy-to-read format.

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