Look at the frequency table below. Of all the people surveyed, what is the probability of someone selecting dog?

y = 2x+1 and y = 2x-2 have the same slope, but different y intercepts. This means the lines are parallel. So the boundary lines are parallel.

y > 2x+1 indicates we'll shade above the y = 2x+1 boundary line

y < 2x-2 tells us to shade below the y = 2x-2 boundary line

Both boundary lines are solid lines (and not dashed line) because of the "or equal to" portion

What results is similar to what you see in choice A. However, the red boundary line should go through (0,1) and not (0,2). The blue boundary line should go through (0,-2) and not (0,-1)

Basically take the graph of choice A and shift everything down 1 unit and you'll have your final answer.

This graph shows the solution to the system of linear inequalities

y ≥ 2x + 1

y ≤ 2x - 2

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Graph is y ≥ 2x + 1 and is the red shaded area and dotted means inequality

Graph is y ≤ 2x - 2 and is the blue shaded area and dotted means inequality

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Answer:

5

Step-by-step explanation:

Due to the direction the line is facing it can be concluded that its slope is positive.

You need two definite points on the line to find the slope.

(x¹,y¹) ( x²,y²)

Points (5,20) (0, -5)

Slope = (y² - y¹) ÷ (x² - x¹)

= (-5 - 20) ÷ (0 -5)

= (-25) ÷ (-5)

= 5

Have a great day!

[tex](x-2)^2+(y-3)^2=25[/tex]

We are given this equation. The equation of a circle with radius r and center (h,k) takes the following form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

The center of the circle in the given equation is (2,3). Up 2 units would increase the y-value of the center by 2.

Thus, the center of the new circle will be (2,5). Putting this new center into the equation gives us:

[tex](x-2)^2+(y-5)^2=25[/tex]

Let me know if you need any clarifications, thanks~!

Answer:

False

Step-by-step explanation:

Given

A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( divide both sides by b )

[tex]\frac{2A}{b}[/tex] = h

Answer:

3. 8.60 units

Step-by-step explanation:

Distance from point M(-2, 4) to point N(5, -1) can be calculated using the distance formula, [tex]d = \sqrt{(x_{2} - x_1)^2 + (y_2 - y_1)^2}[/tex]

M(-2, 4) => (x1, y1)

N(5, -1) => (x2, y2)

Plug in the values into the formula

[tex] d = \sqrt{(5 - (-2))^2 + (-1 - 4)^2} [/tex]

[tex] d = \sqrt{(7)^2 + (-5)^2} [/tex]

[tex] d = \sqrt{49 + 25} [/tex]

[tex] d = \sqrt{74} [/tex]

[tex] d = 8.60 units [/tex]

Answer:

Step-by-step explanation:

Answer:

Dilation factor of 3

Step-by-step explanation:

First you wil want to find out the the coordinates for each of the shapes:

Regular:

P =9,6

Q =3,6

R =6,3

S =3,3

Prime notation:

P' =3,2

Q' =1,2

R' =2,1

S' =1,1

Then using great old common sense in the picture you will see 3 units go down to 1 unit which will indicate Dilation factor of 3 as the answer!

Hope this helps!

Answer:

The Dilation of the polygon would be 3

Step-by-step explanation:

The reason the answer shall be three is because if you look at both polygons and then look at their angles you should come to notice that the angle coordinates for the polygon that has been used for dilation multiplied by 3 would be congruent to the dilated shape, so in short look at lets say... the top right angle of both polygons, look at both of them and multiply the shape that has not been dilated and multiply that top right angle by whatever equals the dilated shapes angle value, for example (3,3)x3 = (9,9), thus the answer would be that the dilation is equal to 3.

Hope this helps, have a great day, and please consider giving me a Brainliest!!! ;)

Answer:

Triangle klm

Step-by-step explanation:

edg 2020

Answer:

<B = 32°

c = 9.43

Step-by-step explanation:

To find the measure of <B, add up the measures of the two angles that you know and subtract from 180°.

58° + 90° = 148°

180° - 148° = 32°

The measure of <B is 32°.

To find the length of side c, use the Pythagorean Theorem.

a² + b² = c²

5² + 8² = c²

25 + 64 = c²

89 = c²

c = √89

c = 9.433981132 ⇒ 9.43 (rounded to two decimal places)

The length of side c = 9.43.

Hope that helps.

Answer:

- (x - 3y)(3x + y)

Step-by-step explanation:

Given

(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL

= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute

= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms

= - 3x² + 8xy + 3y² ← factor out - 1 from each term

= - 1(3x² - 8xy - 3y²) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.

product = 3 × - 3 = - 9 and sum = - 8

The factors are - 9 and + 1

Use these factors to split the xy- term

3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )

= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term

= (x - 3y)(3x + y)

Thus

(x + 2y)² - (2x - y)² = - (x - 3y)(3x + y)

Answer:

A

Step-by-step explanation:

What as |x|= infinity, then p(x)=2 mean is that,

as x get bigger on either side of +ve or -ve, you get really close to 2.

Graph A could be p(x).

The answer is option A.

A function is defined as a relation between a fixed of inputs having one output every. In easy words, a function is dating between inputs in which every entry is associated with precisely one output. Each function has a site and codomain or range.

A function can then be defined as a set of ordered pairs: Example: {(2,4), (3,5), (7,3)} is a function that says. "2 is related to 4", "3 is related to 5" and "7 is related 3". Also, notice that: the domain is {2,3,7} (the input values).

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Answer:  1) c    2) a     3) d

Step-by-step explanation:

[tex]\cos \theta = \dfrac{adjacent}{hypotenuse}\quad \\\\\\\cos 42.1=\dfrac{4.7}{x}\\\\\\x=\dfrac{4.7}{\cos 42.1}\\\\\\\large\boxed{x=6.33}\\[/tex]

******************************************************************************************

Reference angle is the angle measurement from the x-axis.  There is no such thing as a negative reference angle.

-183°  is 3° from the x-axis so the reference angle is  [tex]\large\boxed{3^o}[/tex]

*******************************************************************************************

Coterminal means the same angle location after one or more rotations either clockwise or counter-clockwise.

To find these angles, add or subtract 360° from the given angle to find one rotation, add or subtract 2(360°) from the given angle to find two rotations, etc.

To find ALL of the coterminals, add or subtract 360° as many times as the number of rotations.  Rotations can only be integers. In other words, you can only have ± 1, 2, 3, ... rotations. You cannot have a fraction of a rotation.

Given: 203°

Coterminal angles: 203° ± k360°, k ∈ I

Answer: C) 17

Step-by-step explanation:

Let x be the number of large boxes

As per given,

Number of small boxes= 3 × (number of large boxes)

i.e. Number of small boxes= 3x

Allie is transporting boxes of two sizes: 12 cubic feet and 5 cubic feet.

Total volume = 12  (number of large boxes) + 5(Number of small boxes)

= 12 x+ 5 (3x)

= 12x+15x

= 27x

A moving van’s cargo area has a maximum volume of 480 cubic feet.

[tex]\Rightarrow\ 27x \leq480[/tex]

Divide both sides by 27 , we get

[tex]x\leq17.78[/tex]

i.e. maximum value x can take = 17

So, the maximum number of larger boxes that she can fit in the van = 17.

Hence, the correct option is C) 17 .

Answer:

  [tex]\textbf{A. }F(x)=\dfrac{1}{(x-3)^2}[/tex]

Step-by-step explanation:

The parent function 1/x² is shifted 3 units to the right. That means x has been replaced by x-3:

  F(x) = 1/(x -3)²

Answer:

a. 12 / 50 = 0.24 or 24%; b. 21 / 50 = 0.42 or 42%

Step-by-step explanation:

1. to find the estimated probability that it will take at least 5 patients to find who it isn't effective on, count the outcomes of EEEE. this means that it was effective on 4 patients, therefore requiring a 5th patient to find the noneffective person.

a. 12 / 50 = 0.24 or 24%

2. to find the estimated probability that it will be effective on exactly 3/4, look for boxes with 3 E's and 1 N (in any order)

b. 21 / 50 = 0.42 or 42%

hope this helps :)

Answer:

24 cm

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

2304 pi = 4/3 pi r^3

Divide each side by pi

2304 = 4/3 r^3

Multiply each side 3/4

2304 * 3/4 = 4/3 r^3 * 3/4

1728 = r^3

Take the cube root of each side

1728 ^ 1/3 = r^3 ^ 1/3

12 = r

We want the diameter

d = 2*r

d = 2*12

d = 24

Answer:

24 centimeters

Step-by-step explanation:

A basketball is a sphere. The volume of a sphere can be found using the following formula:

V= 4/3 π r^3

We know that the volume is 2304 π cm^3, therefore we can substitute 2304π in for V.

2304π = 4/3 π r^3

We want to find out what r is. Therefore, we must get r by itself. First, divide both sides by pi.

2304π/π=4/3πr^3/π

2304π/π=4/3r^3

2304=4/3r^3

Next, divide both sides by 4/3, or multiply by the reciprocal of 4/3. The reciprocal of 4/3 is 3/4 (flip the numerator and denominator).

2304*3/4=4/3r^3*3/4

2304*3/4=r^3

1728=r^3

Now, take the cube root of both sides.

∛1728=∛r^3

∛1728=r

12=r

r= 12 cm

The radius is 12 centimeters, but the question asks us to find the diameter. The diameter is twice the radius.

d= 2r

d= 2* 12 cm

d= 24 cm

The diameter of the basketball is 24 centimeters.

Here is your answer!!!

Cube root of 10648 is 22.

Answer:

22

Step-by-step explanation:

[tex]\sqrt[3]{10648}[/tex] factors into [tex]\sqrt[3]{22^{3} }[/tex]

You then apply the radical rule: [tex]\sqrt[n]{a^{n} }[/tex]=a

In in this case a = 22

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

Explanation:

Writing [tex]P \to Q[/tex] is another way of saying "if P, then Q".

P and Q are placeholders. Instead of holding numbers, they hold statements. The statements can be anything you want (generally they should be something that can be verified).

The two statements are

P: x = 5

Q: 2x = 10

So the format "if P, then Q" turns into "if x = 5, then 2x = 10" after replacing P and Q with the proper definitions.

Side note: it might help to think of the "search and replace" feature in many word documents.

Answer:

2850

Step-by-step explanation:

We know that only 19% of people prefer the sedans, so we have to find 19% of 15,000. Set up a proportion: [tex]\frac{19}{100}=\frac{x}{15000}[/tex], cross multiply and get 2850.

Answer:

2850 sedans per month

Step-by-step explanation:

19 % want sedans

They expect to sell 15000 cars

Take the number of cars and multiply by the percent sedans

19% * 15000

Change to decimal form

.19*15000

2850

Answer:

A = 9x² + 48x + 65

Step-by-step explanation:

Area of a Square Formula: A = lw

Since a square's length is equal to its width, we simply plug it into the formula:

A = (3x + 8)(3x + 8)

Then we simply use FOIL to expand the distribution)

First - 3x(3x) = 9x²

Outside - 8(3x) = 24x

Inside - 8(3x) = 24x

Last - 8(8) = 64

Lastly, we combine like terms

9x² + 24x + 24x + 64

9x² + 48x + 64

Answer:

825 or 500

Step-by-step explanation:

Depends, if it is talking about just an up-down, it is 500, but if it is just distance in general, it would be 825 because 325+500=825

Hope this will help

Answer:

5

Step-by-step explanation:

The initial value is when x=0

When x=0, y =5

The initial value is 5

Answer:

86.7

Step-by-step explanation:

Answer:

86.7%

Step-by-step explanation:

Correct on Edge2020

Answer:

25°

Step-by-step explanation:

Since ∠DBC = 130°, ∠DBC + ∠ABD = 180° (sum of angles on a straight line is 180°). Solving for ∠ABD:

∠DBC + ∠ABD = 180°

130 + ∠ABD  = 180°

∠ABD = 180° - 130°

∠ABD = 50°

∠ABD  is bisected by line BE, therefore ∠ABD = ∠EBA + ∠DBE (angle addition postulate).

The angle addition postulate states that if w is the interior of xyz then ∠XYZ = ∠XYW + ∠ZYW

Since E is the interior of ∠ABD, then:

∠ABD = ∠EBA + ∠DBE

But ∠EBA = ∠DBE

∠ABD = 2∠EBA

50 = 2∠EBA

∠EBA = 25°

Answer:

Answer:

340 liters

Step-by-step explanation:

357/1.05=340

Answer:

Option B

Step-by-step explanation:

Hope it is right

The value of equation describes the line graphed is,

⇒ y = -1/5x - 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, -4) and (5, -5).

Now,

Since, The equation of line passes through the points (0, -4) and (5, -5).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 5 - (-4)) / (5 - 0)

m = - 1 / 5

Thus, The equation of line with slope - 1/5 is,

⇒ y - (-4) = -1/5 (x - 0)

⇒ y + 4 = -1/5x

⇒ y = -1/5x - 4

Therefore, The equation of line passes through the points (0, -4) and

(5, -5). will be;

⇒ y = -1/5x - 4

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Answer:

720 ways

Step-by-step explanation:

At first their are six books, that means that there are six different positions to put them. The first book to be placed would have 6 position, when the first book is placed, to place the second book there would be 5 position since one position has been used by the first book. After placing the second book, to place the third book there would 4 available position, and it follows this manner i.e for the fourth book 3 available position, for the fifth book 2 available position and for the sixth book, one available position.

Therefore the number of ways to arrange the books on the shelf from left to right = 6 × 5 × 4 × 3 × 2 × 1 = 6! = 720 ways

Answer:

5

Step-by-step explanation:

Since y equals 200 + 10x and y also equals 5x, then

200 + 10x = 50x

Subtract 10x from both sides.

200 = 40x

Divide both sides by 40.

5 = x

Answer: He must sell 5 sculptures.

by bargaining with the owner, vying for discounts or insisting on multiple products for a complimentary value deal

Answer:

A 99% confidence level is saying that you are 99% positive that you null hypothesis will not be rejected. The critical value that comes with the confidence level is the Z-score. The Z-score can usually be found using the Z-score table found online. The Z-score for 99% confidence is 2.575. If they give you the Z-score and tell you to find it on a right tail graph you subtract the given z-score from alpha which is .5 and find what you got on the z-score table.

Ex: Given Z-score- 0.0079

.0079 - .5(alpha)=  0.4921.

The closest area to 0.4921 is 0.4922 at z = 2.42.

Hope this helps

Answer:

p < 2

Step-by-step explanation:

9p + 23 < 41

p < 2

Answer:

p < 2

Step-by-step explanation:

9p + 23 < 41

9p < 18

p < 2