In regression analysis, which statements are true?
I. Data sets that include an influential point are nonlinear.
II. Influential points always reduce the coefficient of determination.
III. All outliers are influential data points.
A) I only
B) II only
C) III only
D) None are true

Answer:

1 hour (60 minutes)

Step-by-step explanation:

If his speed remains the same, that means that this is a linear relationship.  y increases at the same rate as x increases.  Direct variation and all of that.  Because this is a linear relationship, it can be solved using proportions.  Set up the given info in a ratio with miles on the top and minutes on the bottom:

[tex]\frac{miles}{minutes}:\frac{4}{20}[/tex]

Now we want to know how long (unknown number of minutes) it will take him to go 12 miles.  Keep miles with miles and minutes with minutes:

[tex]\frac{miles}{minutes}:\frac{4}{20}[/tex]=[tex]\frac{12}{x}[/tex]

We can cross multiply now to get 4x = 12(20) and 4x = 240.  That means that x=60.  It will take him 60 minutes (1 hour) to go 12 miles.

Answer: 60 minuites

Step-by-step explanation: actully the dude thats on top of me its only 60 mins not 1hr and 60 mins

Hopefully I read the question right, if not I'm sorry

Koen ran for 4 and a half hours, which is also 4.5 hours

Since he averaged a speed of 6 mph, I multiply the number of hours by speed each hour, which is 4.5*6

4.5*6=27

Koen ran 27 miles.

Answer:

38 miles

Step-by-step explanation:

study island

Answer:

  10 and 1

Step-by-step explanation:

Let x and y represent the two numbers. The problem statement lets us write two equations describing their relationships:

  x + y = 11

  x - y = 9

Adding these equations together, we have ...

  (x +y) +(x -y) = (11) +(9)

  2x = 20

  x = 10 . . . . . . . . . you will notice this is the average of the two given numbers

Then ...

  10 + y = 11 . . . . substitute for x in the first equation

  y = 1 . . . . . . . subtract 10

The two numbers are 10 and 1.

Answer: OPTION A.

Step-by-step explanation:

We know that a circle measures 360 degrees. Then, to determine the size of a section, we need to multiply the percent of the category by 360 degrees.

First, we need to write 65 out of a hundred in decimal form:

[tex]\frac{65}{100}=0.65[/tex]

Now, let be "x" the degrees of the section representing 65 out of a hundred. We need to multiply 360 degrees by 0.65. Therefore, we get this result:

[tex]x=360\°*0.65\\x=234\°[/tex]

This matches with the option A.

The degree measurement for a section representing 65 out of 100 on a circle graph is 234 degrees. This is obtained by forming a ratio of the data point to the total data and multiplying by 360 (the total degrees in a circle).

To determine the degree measurement for a section on a circle graph, we must understand that a full circle consists of 360 degrees. The proportion that every bit of data takes in that circle is found by making a ratio of the data point to the total data multiplied by 360 degrees. Therefore, to find the proportion of 65 out of 100, we would make a ratio of 65 to 100 and multiply that by 360. Which comes out to: (65/100) * 360 = 234 degrees. So the correct answer would be 234 degrees (Option A).

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Answer:

x = 29.91

Step-by-step explanation:

Cos (53) = 18/x

x = 18 / Cos(53)

x = 18/ 0.6018

x = 29.91

For this case we have that by definition of trigonometric relations of a rectangular triangle, that the cosine of an angle is given by the leg adjacent to the angle on the hypotenuse of the triangle. Then, according to the figure we have:

[tex]cos (53) = \frac {18} {x}[/tex]

Clearing x:

[tex]x = \frac {18} {cos (53)}\\x = \frac {18} {0.60181502}\\x = 29,9095226969[/tex]

Rounding:

[tex]x = 29.91[/tex]

Answer:

29.91

ANSWER

Step 2

EXPLANATION

The system of equations are:

Equation A:

[tex]y = 4 - 2z[/tex]

Equation B:

[tex]4y=2 - 4z[/tex]Step 1: Multiply equation A by -4.

Equation A:

[tex] - 4(y) = - 4(4 - 2z)[/tex]

Equation B:

[tex]4y=2 - 4z[/tex]

Step 2: Simplify equation A in step 1,

Equation A:

[tex] - 4y= - 16 + 8z[/tex]

This is where the student made the first error.

He didn't expand the second parenthesis correctly.

Answer:

The student made the first mistake in step 2.

Step-by-step explanation:

Answer:

A. 7.07 units

Step-by-step explanation:

Use the distance formula for coordinates:

[tex]d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2   }[/tex]

Fill in the coordinates accordingly:

[tex]d=\sqrt{(1-(-4))^2+(-3-2)^2}[/tex]

which simplifies down to

[tex]d=\sqrt{25+25}[/tex]

which is of course

[tex]d=\sqrt{50}[/tex]

Plug that into your calculator and you'll get the answer

Answer:

The exact value of [tex]\sin(60\degree)[/tex] is [tex]\frac{\sqrt{3} }{2}[/tex].

Step-by-step explanation:

Recall that   [tex]\sin(60\degree)[/tex]  is a special angle that can be obtained using an equilateral triangle.

The right triangle obtained using one of the lines symmetry was used to find the exact value of  [tex]\sin(60\degree)[/tex]  using SOH-CAH-TOA

The exact value of [tex]\sin(60\degree)[/tex] is [tex]\frac{\sqrt{3} }{2}[/tex].

Answer:

48 ft³

Step-by-step explanation:

The volume (V) of the pyramid is

V = [tex]\frac{1}{3}[/tex] area of base × perpendicular height (h)

Calculate h using the right triangle formed by a segment from the vertex to the midpoint of the base and across to the slant face ( the hypotenuse )

Using Pythagoras' identity on the right triangle then

h² + 3² = 5²

h² + 9 = 25 ( subtract 9 from both sides )

h² = 16 ( take the square root of both sides )

h = [tex]\sqrt{16}[/tex] = 4

area of square base = 6² = 36, hence

V = [tex]\frac{1}{3}[/tex] × 36 × 4 = 12 × 4 = 48 ft³

Answer:

$7.15/hour

Step-by-step explanation:

Find Janie's unit rate of pay:  Amount per Hour:

$35.75 / (5 hours) = $7.15/hour

In each hour of working on Saturday morning, Janie earns $7.15.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Each Saturday morning Janie works five hours and earned $35.75.

So, To obtain the amount of money she earns each hour can be obtained by dividing the total amount she earned by the total number of hours she worked which is,

= $(35.75/5).

= $7.15.

So, Each hour Janie earns $7.15 by working in Saturday morning.

learn more about the unitary method here :

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Let X = the number.

You have 21 more than 3 times the number which is:

3x +21 = -15

Subtract 21 from both sides:

3x = -36

Divide both sides by 3:

x = -36 /3

x = -12

The answer is B.

Answer:

-13

Explanation:

Rewrite Equation:

(3 · x) + 21 = -15

Subtract 21 From Both Sides:

(3 · x) + 21 - 21 = -15 - 21

Simplify:

3x = -36

Divide Both Sides By 3:

[tex]\bold{\frac{3x}{3} \ = \ \frac{-36}{3} }[/tex]

Simplify:

x = -12

Mordancy.

Answer:

A. 196 m²

Step-by-step explanation:

The two similar solids have volumes 1728 m³ and 343 m³.

The ratio of their side lengths is :

[tex]\sqrt[3]{1728}:\sqrt[3]{343}[/tex]

This simplifies to:

[tex]12:7[/tex]

If the surface area of the larger solid is  576 m², then the surface area of the smaller solid is given by:

[tex]\frac{7^2}{12^2}\times 576=196[/tex]

The correct answer is A

(X+5)^2+(y+6)^2=61 and then to find the radius take the square root of both sides

Answer:

[tex]r=\frac{1}{3+2cos\theta}[/tex]

Step-by-step explanation:

Let us write the equations in standard form:

[tex]r=\frac{1}{3+2cos\theta} \implies r=\frac{\frac{1}{3} }{1+\frac{2}{3}\cos \theta }[/tex]

We have

[tex]e=\frac{2}{3}\:<\:1[/tex] and

 [tex]ep=\frac{1}{3}[/tex]

Since the eccentricity  of this conic is less than 1, the conic represents an ellipse.

The second equation is [tex]r=\frac{3}{2+3\sin \theta}[/tex].

This is a hyperbola, because eccentricity is more than 1.

The third equation is [tex]r=\frac{5}{2+2\sin \theta}[/tex].

This is a parabola, because eccentricity is  1.

The fourth equation is [tex]r=\frac{2}{2-3\sin \theta}[/tex].

This is also a hyperbola, because eccentricity is more than 1.

[tex]\bf x^{-1}-1\div x-1\implies \implies \cfrac{1}{x}-1\div x-1\implies \cfrac{\frac{1}{x}-1}{~~x-1~~}\implies \cfrac{~~\frac{1-x}{x}~~}{\frac{x-1}{1}} \\\\\\ \cfrac{1-x}{x}\cdot \cfrac{1}{x-1}\implies \cfrac{-(\begin{matrix} x-1 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix})}{x}\cdot \cfrac{1}{\begin{matrix} x-1 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies -\cfrac{1}{x}\implies -x^{-1}[/tex]

Answer:

The measure of angle LJC is [tex]m\angle LJC=43\°[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc LC

we know that

[tex]arc\ LC+arc\ JC=180\°[/tex] ----> because the diameter divide the circle into two equal parts

substitute the given values

[tex]arc\ LC+94\°=180\°[/tex]

[tex]arc\ LC=180\°-94\°=86\°[/tex]

step 2

we know that

The inscribed angle measures half that of the arc comprising

so  

[tex]m\angle LJC=\frac{1}{2}[arc\ LC][/tex]

substitute

[tex]m\angle LJC=\frac{1}{2}[86\°]=43\°[/tex]

Answer:

6 pairs of supplementary (when perpendicular)

a pair of complementary(0 for perpendicular)

4 pairs of adjacent

4 pairs of linear

2 pairs of vertical

Answer:

B) 15/91

Step-by-step explanation:

Probability of a girl as first choice is ...

number of girls / total number of students = 6/14 = 3/7

Probability of a girl as second choice (given a girl as first choice) is ...

number of girls / remaining number of students = 5/13

Then the probability of the two events is the product of their individual probabilities:

(3/7)·(5/13) = 15/91 . . . . . matches choice B

Step-by-step explanation:

0 = x² - 6x - 27

a = 1, b = -6, c = -27  Factor using AC method.

ac = (1)(-27) = -27

Factors of -27 that add up to -6 are -9 and 3.

Therefore:

0 = (x - 9) (x + 3)

x = -3, x = 9

The x-intercepts are (-3, 0) and (9, 0).

Answer:

  D)  x² + (y − 2)² = 52

Step-by-step explanation:

The center of the circle is the midpoint of the diameter, so is the average of the end points:

  (h, k) = ((-6, 6) +(6, -2))/2 = (0, 4)/2 = (0, 2)

Then the distance between the center and an end point is the radius. It is found using the distance formula:

  r = √((x2 -x1)² +(y2 -y1)²) = √((-6 -0)² +(6 -2)²) = √(36 +16) = √52

Putting these values into the standard form equation for a circle ...

  (x -h)² +(y -k)² = r²

gives ...

  (x -0)² +(y -2)² = (√52)²

  x² +(y -2)² = 52 . . . . . matches choice D

Answer:

1.  0.75

2. -0.8

mark me brainlyest

First when looking at dialations, ignore the negative signs. They do not affect the expansion or contraction.

An expansion is any number greater than 1 and a contraction is any number less than 1.

Expansion: b) -2 and d) 2

Contraction: b) - 0.8 and d) 0.8

Answer:

117

Step-by-step explanation:

182/14=13

13x9=117

Check the picture below.

so the top and bottom segments are simply 7 units, we can read that off the grid.  Let's find the length of the other two segments, "c".

[tex]\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{2}\\ b=\stackrel{opposite}{3}\\ \end{cases} \\\\\\ c=\sqrt{2^2+3^2}\implies c=\sqrt{13} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{perimeter of the parallelogram}}{7+7+\sqrt{13}+\sqrt{13}}\qquad \approx \qquad 21.21[/tex]

Answer:

C: 30 units

Step-by-step explanation:

on edge 2021! hope this helps!!~ d=(´▽｀)=b

Both x² and mx + b are differentiable functions of x (they are both polynomials), so if f(x) is also differentiable, we need to pay special attention at x = 2 where the two pieces of f meet.

Continuity means that the limit

[tex]\displaystyle \lim_{x\to2} f(x)[/tex]

must exist.

From the left side, we have x < 2 and f(x) = x², so

[tex]\displaystyle \lim_{x\to2^-} f(x) = \lim_{x\to2} x^2 = 4[/tex]

From the right, we have x > 2 and f(x) = mx + b, so

[tex]\displaystyle \lim_{x\to2^+} f(x) = \lim_{x\to2} (mx+b) = 4m+b[/tex]

It follows that 4m + b = 4.

Differentiability means that the limit

[tex]\displaystyle \lim_{x\to2} \frac{f(x) - f(2)}{x - 2}[/tex]

must exist.

From the left side, we again have x < 2 and f(x) = x². Then

[tex]\displaystyle \lim_{x\to2^-}\frac{f(x)-f(2)}{x-2} = \lim_{x\to2} \frac{x^2-4}{x-2} = \lim_{x\to2} (x+2) = 4[/tex]

From the right side side, we have x > 2 so f(x) = mx + b. Then

[tex]\displaystyle \lim_{x\to2^+}\frac{f(x)-f(2)}{x-2} = \lim_{x\to2} \frac{(mx+b)-(2m+b)}{x-2} = \lim_{x\to2} \frac{mx-2m}{x-2} = \lim_{x\to2}m = m[/tex]

The one-sided limits must be equal, so m = 4, and from the other constraint it follows that 16 + b = 4, or b = -12.

Answer:

slope = 5

Step-by-step explanation:

To calculate the slope m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (2, 8) ← ordered pairs from the table

m = [tex]\frac{8-3}{2-1}[/tex] = 5

The slope of a line can be calculated using the formula (y2-y1) / (x2-x1) using any two points on the line. The result you get from this calculation is the slope of the line.

To find the slope of a line from a set of coordinates, you need two points from the line. Let's consider these two points as (x1, y1) and (x2, y2). The formula for the slope is (y2-y1) / (x2-x1). This formula shows the change in y-values divided by the change in x-values, often referred to as 'rise over run'.

If, for instance, from your table the two points are (3,4) and (5,8), substitute these values into the formula: Slope = (8-4) / (5-3) = 4/2 = 2. So the slope of the line is 2.

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Step-by-step explanation:

[tex] { \sin(x) }^{2} + { \cos(x) }^{2} = 1 \\ { \cos(theta) }^{2} = \frac{9}{16} \\ \: { \sin(theta) }^{2} = \frac{6}{16} = \frac{3}{8} \\ \: \sin(theta) = \frac{ \sqrt{3} }{ \sqrt{8} } \\ \sin(theta ) = \frac{ \sqrt{24} }{8}

= \frac{ 2\sqrt{6} }{8} = \frac{ \sqrt{6} }{4}

[/tex]

Answer:

[tex]\frac{\sqrt{7} }{4}[/tex]

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1, then

sinx = [tex]\sqrt{1-cos^2x}[/tex]

sinΘ = [tex]\sqrt{1-(3/4)^2}[/tex]

        = [tex]\sqrt{1-\frac{9}{16} }[/tex] = [tex]\sqrt{\frac{7}{16} }[/tex] = [tex]\frac{\sqrt{7} }{4}[/tex]

Answer:

$6

Step-by-step explanation:

$15.50 is $3.50 more than $12. And $12 is twice $6. The cost of the screwdriver is $6.

Answer:

375

Step-by-step explanation:

So first you would want to divide 1,500 by 4 because the ratio is 4:7. The answer you get if you divide 1,500 by 4 is 375. This is your answer because if you divide 1,500 by 4 you are seeing out of how many 'dentist' would recomend this product.

1500/4

375

Use a calculator

Very helpful

Answer:

288 ft.

Step-by-step explanation:

Find the perimeter. 50+50+94+94 = 288

Answer:

The tall of the tree is about 109.85 feet

Step-by-step explanation:

* Lets study the situation in the problem

- The tree and its shadow formed a right angle triangle with legs

  x the tall of the tree and 125 feet the shadow of the tree

- Ellie and her shadow formed a right triangle with legs 4 feet and

 10 inches the tall of Ellie and 5.5 feet the shadow of Ellie

- The two triangles are similar

- There is an equal ratio between the corresponding sides of the

 similar triangles

# Ex: If triangles ABC and XYZ are similar

∴ AB/XY = BC/YZ = AC/XZ

* Lets use this rule to solve the problem

∵ The tall of the tree is x

∵ The tall of Ellie is 4 feet and 10 inches

- Lets change the tall of Ellie to feet only

∵ 1 foot = 12 inches

∴ 10 inches = 10/12 = 5/6 foot

∴ The tall of Ellie is 4 feet and 5/6 foot = 4 + 5/6 = 29/6 feet

∵ The shadow of the tree is 125 feet

∵ The shadow of Ellie is 5.5 feet

- By using similarity ratio

∴ Tall of tree/tall of Ellie = shadow of tree/shadow of Ellie

∴ x/(29/6) = 125/5.5 ⇒ using cross multiplication

∴ 5.5(x) = 125(29/6) ⇒ divide both sides by 5.5

∴ x ≅ 109.85 feet

* The tall of the tree is about 109.85 feet

Answer:

The tall tree is about 109.85

Step-by-step explanation:

Hope this helps!