Divide these numbers in the given ratios

36 in the ratio 4:5

The only correct option that is minimized by the least squares regression line is. Option B the sum of the squared residuals.

lets check all the option -

Option A - This claim is untrue because the residuals' summation would provide a value of 0.

Option B - Because error must be kept to a minimum, the residuals must sum to zero and the line must be as close to the points as possible. Prior to summing them, we must first square the residuals, which will always result in a positive value. This option is accurate since the Least Square Regression Line minimizes the total of residuals.

Option C - This choice is incorrect because the least squares regression line cannot be created by adding the absolute values of the residuals.

Option D - This alternative is incorrect since the influence of outliers has nothing to do with the subject at hand.

Option E - Due to slope's lack of relevance to the subject at hand, this choice is also incorrect.

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Equation in slope-intercept form of the line that passes through the given points is y = 2x - 1/2.

Given points:

(1, 1.5) and (2, 3.5)

slope m = 3.5 - 1.5 / 2 - 1

= 2/1

m = 2

substitute m and (1,1.5) in y = mx + c

1.5 = 2*1 + c

1.5 - 2 = c

c = -0.5

c = -1/2

y = mx + c

y = 2x - 1/2.

Therefore equation in slope-intercept form of the line that passes through the given points is y = 2x - 1/2.

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The required key features of [tex]g(x) = x^{2}[/tex] including domain is (-∞, ∞) (i.e. all real values), range = [0,∞), x-intercept = (0,0), y-intercept = (0,0), interval of increasing = (0,∞) and interval of decreasing = (-∞, 0)

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function.

The graphs of quadratic functions are frequently curved or nonlinear. A parabola, a kind of U-shaped curve, is the particular type of curve that makes up the graph of a quadratic function.

Given, [tex]g(x) = x^{2}[/tex]

The graph of the given function is given below:

From the graph,

Domain = (-∞, ∞) (i.e. all real values)

Range = [0,∞)

x-intercept = (0,0)

y-intercept = (0,0)

Interval of increasing = (0,∞)

Interval of decreasing = (-∞, 0)

Hence, these are the required key features of  [tex]g(x) = x^{2}[/tex].

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The values indicated trigonometric functions are cot(β) = 0.14, cos(β) = 0.14, tan(90-β) =  0.14 and csc(β) = 1.01

Trigonometric functions are the periodic functions that denote the relationship between angle and sides of a right-angled triangle e.g sine, cosine, tangent, etc.

Given: tan(β) = 7

Thus, β = arc tan 7 = 81.87

(a) cot(β) = 1/tan(β) = 1/7 = 0.14

(b) cos(β) = cos 81.87 = 0.14

(c)  tan(90-β) =  tan(90-81.87) = tan 8.13 = 0.14

(d) csc(β) = 1/sinβ = 1/sin(81.87) = 1.01

Therefore, the value of the trigonometric functions are cot(β) = 0.14, cos(β) = 0.14, tan(90-β) =  0.14 and csc(β) = 1.01

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Answer: 76

Step-by-step explanation:

Based on the given conditions, formulate: 6+10*7

Calculate the product or quotient: 6+70

Calculate the sum or difference: 76

The simple regression line is used to estimate the population regression line.

We are asked about, the simple regression line

We have options:

a. is estimated by the population regression line.

b. maximizes the sum of the squared differences between the data points in a sample and the sample regression line.

c. shows the actual (or true) relation between the dependent and independent variables.

d. is used to estimate the population regression line.

e. connects the data points in a sample.

From the above options, Option (d) is the correct one i.e. is used to estimate the population regression line.

The simple regression line is used to estimate the population regression line.

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In a multiple regression problem involving two independent variables, if b1 is computed to be 2.0, it means that For every unit increase in x1, the predicted mean of Y rises by 2 units holding [tex]x_{2}[/tex] constant.

Given data,

Slope b1 = +2

Mutiple regression which means,

Use multiple linear regression to determine the relationship between two or more independent variables and one dependent variable.

The value of the dependent variable at a specific level of the independent variables (For instance, the crop's anticipated yield at specific levels of temperature, rainfall, and fertilizer application).

[tex]y = b_{0} +b_{1}x_{1}+b_{2}x_{2}+b_{3}x_{3}+....[/tex]

[tex]b_{1}[/tex]=2 means

The estimated mean of Y increases by 2 units for each increase of 1 unit of [tex]x_{1}[/tex], holding [tex]x_{2}[/tex] constant.

Hence, the expected mean of Y increases by two units for every unit increase in x1.

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Answer:

Step-by-step explanation:

I think this is the answer you were looking for but im not 100% sure

The equation of the graph given in the diagram which represents an absolute value function is: y = |x - 3| + 5.

The equation that represents the absolute value function is expressed in in vertex form as y = a|x – h| + k, here, the vertex of the graph of the absolute value function is (h, k), while the value of a determines if the graph opens up or opens down.

The point (3, 5) is the vertex of the graph, therefore:

(h, k) = (3, 5)

Plug in h = 3 and k = 5 into, y = a|x – h| + k:

y = a|x - 3| + 5

Find the value of a, by substituting the values of the coordinates of a point on the graph, (x, y) = (5, 7), into the equation y = a|x - 3| + 5:

7 = a|5 - 3| + 5

7 = 2a + 5

2 = 2a [subtraction property]

1 = a [division property of equality]

a = 1

Substitute the value of a into the equation y = a|x - 3| + 5:

y = |x - 3| + 5 [equation of the graph].

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Step-by-step explanation:

to create a vertical asymptote (a tangent of the curve in infinity) at x = n we define e.g.

f(x) = 1/(x - n)

the cost x gets to n, the much closer the function gets to 1/0 and infinity.

so, the part to get us the asymptote at x = -4 is

1/(x + 4)

the part to get us the asymptote at x = 2 is

1/(x - 2)

and the part that gives us a zero solution at x = 3 is

(x - 3)

because that is what the point (3, 0) is : when x = 3. then y = 0.

now we only need to multiply all 3 parts to combine them :

f(x) = 1/(x + 4) × 1/(x - 2) × (x - 3)

Answer:

496.5714285714

Step-by-step explanation:

82+79+85+100+46+92+88

7

=496.5714285714

Answer:

8/2 or 4/1

Step-by-step explanation:

To find the slope, you simply count how high up one point is from another (0,0 to 2,8) and then how far over. Since 2,8 is 8 points up from 0,0 the numerator of our slope would be 8; and since 8,2 is two over from 0,0 the denominator is 2. Simplify this to 4/1.

Answer:

41 pounds of raspberries and 25 pounds of grapes

Step-by-step explanation:

x = pounds of raspberries
y = pounds of grapes

1.50x + 2.75y = 130.25
x + y = 66 --> y = -x + 66

Substitute and solve for x:
 1.50x +2.75(-x +66) = 130.25
1.50x - 2.75x + 181.5 = 130.25
150x - 275x + 18150 = 13025
           -125x +18150 = 13025
                       -125x = -5125
                              x = 41

Substitute x to find y:
41 + y = 66
y = 25

Answer:

There were 41 pounds of raspberries sold and 25 pounds of grapes sold.

Step-by-step explanation:

For the specified requirements, 97 sample size are required.

Given that,

Confidence Interval = 95

Margin of error (m) =0.099

We know , to find Sample size for  estimating a population proportion

n = (Z*/m)² P(1-P)

where , m is margin of error

             P is estimated proportional value.

If we have no preconceived of the value of the  population proportion

, then we use P= 0.50 because it is most conservative and it will give use the largest sample size calculation.

for a 95% confidence interval ,

Z* = 1.960 , m=0.099

Using equation we get

n = (1.96/0.099)²(0.5)( 1 - 0.5 )

By solving,

n = 97.02≅ 97

The necessary sample size is 97

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It takes almost 5.7 hours the same hose to fill an aquarium measuring 26 inches by 33 inches by 35 inches.

First, we must determine how quickly the hose operates.

By dividing the volume of the first aquarium by the length of time it took to fill it, we may determine that.

The following formula can be used to determine the volume of the first aquarium: V =L*B*H

where the aquarium's length is L and its width is B

Its height is H.

Thus, the first aquarium's volume is:

V =L*B*H = 3*8*11 = 264 inches^3

We have the filling rate as:

264/3 inches ^3 per minute,

Let's now determine the second aquarium's volume.

The first formula is what we employ.

The volume is as follows:

V =L*B*H = 26*33*35 = 30030 inches ^3

Now, we divide the capacity of the second aquarium by the pace of the first aquarium to obtain the amount of time.

According to mathematics, that is:

30030 * 3/264 = 341.25 minutes = 5.7 hours approximately

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Answer:  [tex](g \circ f)(x)=9\text{x}^2-36\text{x}+50\\\\[/tex]

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

Explanation:

The notation (g∘f)(x) is the same as g(f(x))

We'll start with the outer function g(x). Then replace each x with f(x). Afterward plug in f(x) = -3x+5 for the right hand side only.

This is what the steps look like

[tex]g(\text{x})=\text{x}^2+2\text{x}+15\\\\g(f(\text{x}))=(f(\text{x}))^2+2f(\text{x})+15\\\\g(f(\text{x}))=(-3\text{x}+5)^2+2(-3\text{x}+5)+15\\\\g(f(\text{x}))=9\text{x}^2-30\text{x}+25-6\text{x}+10+15\\\\g(f(\text{x}))=9\text{x}^2-36\text{x}+50\\\\[/tex]

Therefore,

[tex](g \circ f)(x)=9\text{x}^2-36\text{x}+50\\\\[/tex]

You can use tools like WolframAlpha, GeoGebra, and Desmos as ways to confirm the answer.

Answer:

70%

Step-by-step explanation:

Answer:

Unclassified

Step-by-step explanation:

Which questions would you like answered?

Sean drew a letter (b)F.

What is Geometry construction?

Drawing precise shapes, angles, or lines is referred to in geometry as "construction." These structures only require a compass, a straightedge (a ruler), and a pencil.

according to the question, WX is a straight line having a midpoint at Y.

YZ is drawn perpendicular to WX. And parallel to YZ  a line segment is drawn After this Geometrical construction, a letter is drawn which is F.

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There are two lakes that have crocodiles and alligators in the same proportion.The two lakes are Lake Winnipeg and Lake Champlain.

This is the only lakes where this is the case, making them the only lakes with a proportional relationship between the number of crocodiles and the number of alligators. crocodiles and alligators have been known to live in the same body of water, but they are usually not found in the same proportion. In these two lakes, however, they are found in equal numbers.

Crocodiles and alligators are both reptiles that belong to the same order, which is why they can live in the same environment and in the same proportion.It is most likely because these lakes have a warm climate which is suitable for these reptiles.

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0.5  is the p-value for this Z -test .

What is the Z test's p-value?

For a lower tail test, the test statistic z is determined to be zero that means

P(z<0)

Then p-value is

p-value = P(z<0) = 0.5 (From z score table )

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Using the relation between standard deviation and variance it is concluded that the standard deviation for the population for the given variance is 7.1

In statistics, the two most crucial metrics are variance and standard deviation. While the variance is a measurement of how data points vary from the mean, standard deviation is a measure of the distribution of statistical data.

The square root of the variance yields the standard deviation, i.e.

Standard deviation = [tex]\sqrt{variance[/tex]

Given that sample, the variance is 49.7 and we have to calculate the standard deviation.

Standard deviation (σ) = [tex]\sqrt{variance[/tex]

= [tex]\sqrt{49.7}[/tex]

= 7.0498

=7.1

Hence, the standard deviation for the population for the given variance is 7.1

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The graph of the equation y = 2x - 3 at the interval of -3 to 5 is attached below.

Graph:

Graph means the diagram that shows the variation of a variable in comparison with that of one or more other variables.

Given,

Here we have the equation y = 2x - 3

Now, we need to plot the graph of the given equation at the interval of -3 to 5..

To plot the graph for the given function,

The given interval is taken as the value of x and we have to calculate the value of y from it,

Now, we have to take the given interval  -3, -2, -1, 0, 1, 2, 3, 4, 5 are the samples value for x.

So, we have to apply the values on the equation,

Then we get the value of the function as,

x = -3 => y = 2(-3) - 3 = -6 - 3 = 9

x = -2 => y = 2(-2) - 3 = -4 - 3 = -7

x = -1 => y = 2(-1) - 3 = -2 - 3 = -5

x = 0 => y = 2(0) - 3 = 0 - 3 = -3

x = 1 => y = 2(1) - 3 = 2 - 3 = -1

x = 2 => y = 2(2) - 3 = 4 - 3 = 1

x = 3 => y = 2(3) - 3 = 6 - 3 = 3

x = 4 => y = 2(4) - 3 = 8 - 3 = 5

x = 5 => y = 2(5) - 3 = 10 - 3 = 7

The completed table is attached below.

Now, we have to plot the graph through the derived table, then we get the graph like the following.

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The blanks in this two-column proof should be completed (filled) as follows:

Statements                                             Reasons_______________

m∠RST = 5x° and m∠UVW = 7x°                Given

∠RST and ∠UVW are supplementary

m∠RST = 5x° + m∠UVW = 180           definition of supplementary angles

5x + 7x = 180                                       substitution property of equality

12x = 180                                              addition property of equality

x = 15                                                    division property of equality

In Mathematics, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.

Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this context, we can logically deduce that the sum of angles RST and UVW are supplementary angles:

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The system of linear equations which is used to find number of 7 -inch plates ,x and 12- inch plates y is

x+y = 15 ---(1)

7x+12y = 144 ---(2)

In the given question we have following informations,

total number of plates in kitchen cabinet = 15

diameter of each plate either 7-inch or 12-inch.

let the number of plates in kitchen cabinet with Diameter 7-inch = x

and number of plates in kitchen cabinet with Diameter 12-inch = y

the diameter of all 15 plates combined = 144 inches

from the above details we can make a system of linear equations for two variables say x and y

x + y = 15 -----(1)

7x + 12y = 144 ---(2)

equation (1), (2) made the required system of equations.

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Answer:

Probability = A. 2 / 5

Step-by-step explanation:

Probability = ( Number of Favorable Outcomes ) / (Total Number of Outcomes )

So the Total Number of Students = 20

Number of Students ( Dots ) scored more than 15 = 3+2+1+2 = 8

Probability = 8 / 20 = 2 / 5

Glad to Help

Answer: 12/20= 3/5

Step-by-step explanation:

you have to count all the dots on the dot plot to find your denominator which is 20.

then you count all the dots that are fifteen or more and there are 12 so 12/20 is the probability which is simplified into 3/5.

The solution for the given expression -0.5x-3.69=x-1.9-2.3 is x= 0.34

The given problem is related to an algebraic expression which is the thought of expressing numbers utilizing letters or letter sets without indicating their real values, which is made up of factors and constants, at the side of logarithmic operations (expansion, subtraction, etc.). Expressions are made up of terms.

since the  given expression is :

-0.5x-3.69=x-1.9-2.3

=>-0.5x-x=-1.9-2.3+3.69

=>-1.5x=-0.51

=>x=0.34

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Answer:

d = 3h - 6

Step-by-step explanation:

h = [tex]\frac{d}{3}[/tex] + 2 ( multiply through by 3 to clear the fraction )

3h = d + 6 ( subtract 6 from both sides )

3h - 6 = d

Answer: 55.56%

Step-by-step explanation:

To find the percentage, we need to do part over whole. Part being the females and the total marathon runners being the total. So that would be 95/95+125, then 95/225, then 55.555555 and repeating. Then we would round that to 55.56%.