Which movie had a greater range of ages of the audience? (Hint: The range is the difference between the max and min values)

Movie A

Movie B

Both about the same

C.

Because the marble is not replaced and that affects the next event where another marble is chosen.

Dependent events:

It is the event where one event outcome is dependent on the other event outcome.

Independent events:

It is the event where one event outcome is not dependent on the other event outcome.

You choose a marble from a bag, don't replace it, and then choose another marble.

This is a dependent event.

Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.

Option C is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Dependent events:

It is the event where one event outcome is dependent on the other event outcome.

Independent events:

It is the event where one event outcome is not dependent on the other event outcome.

Now,

A. Rolling an odd number, and then rolling an even number.

This is an independent event.

B. You choose a number from 1 to 50 from a hat, replace it, and then draw a second number.

This is an independent event.

C. You choose a marble from a bag, don't replace it, and then choose another marble.

This is a dependent event.

Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.

D. You roll a 4 and then spin yellow on a spinner.

This is an independent event.

Thus,

You choose a marble from a bag, don't replace it, and then choose another marble.

This is a dependent event.

Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.

Option C is the correct answer.

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Answer:  [tex]5x-5 \ge 0[/tex]

This is the same as [tex]x-1 \ge 0[/tex]

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

Explanation:

We have [tex]f(x) = \sqrt{5x-5}+1[/tex]

The stuff under the square root (this stuff is called the radicand) is what we'll focus on (the +1 at the end does not affect the domain at all). We want this to be 0 or larger. This is to avoid applying the square root to negative values, which leads to complications.

So 5x-5 must be 0 or larger meaning we write [tex]5x-5 \ge 0[/tex]

Optionally we can divide all three terms (5x, -5 and 0) by 5 to go from [tex]5x-5 \ge 0[/tex] to [tex]x-1 \ge 0[/tex]

If you wanted to solve for x, you would get [tex]x \ge 1[/tex] to set up the domain. Meaning that x = 1 is the smallest x value you can plug into the function. The x value can be anything larger than 1 as well.

Answer:

Slope = 3

Step-by-step explanation:

Slope is rise (vertical distance) over run (horizontal distance).

Our rise is equal to 3

Our run is equal to 1

So, slope = 3/1 = 3

Answer:   [tex]\dfrac{49}{99}[/tex]

Step-by-step explanation:

There are 61 boys --> 38 girls

A) 19 chose football: 5 are girls --> 14 are boys

B) 38 girls: 28 chose running, 5 chose football --> 5 girls chose tennis

C) 31 students chose tennis: 5 are girls --> 26 are boys.

D) 61 boys: 14 chose football, 26 chose tennis --> 21 boys chose running.

[tex]\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&14&5&19\\Tennis&26&5&31\\\underline{Running}&\underline{\quad 21\quad}&\underline{\quad 28\quad}&\underline{\quad 29\quad}\\Total&61&38&99\end{array}}[/tex]

Total running = 21 boys + 28 girls = 49

Total students = 99

[tex]\dfrac{\text{Total running}}{\text{Total students}}=\large\boxed{\dfrac{49}{99}}[/tex]

Answer:

we can calculate it by applying trigonometric ratios

Step-by-step explanation:

tan 45 = length of wall/distance between ladder and wall

1 = length of wall/15

length of wall = 15m

(length of wall[tex])^{2}[/tex] + (distance between ladder and wall[tex])^{2}[/tex] = (length of ladder[tex])^{2}[/tex]

length of ladder = [tex]\sqrt{15^{2} + 15^{2} }[/tex]

                           = [tex]\sqrt{450}[/tex]

                           = 21.21 m

Hey there! :)

Answer:

Slope = 2/5.

Step-by-step explanation:

Use the slope formula to solve for the slope of the line:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in the coordinates of each point into the equation:

[tex]m = \frac{8 - 6}{10 - 5}[/tex]

Simplify:

m = 2/5. This is the slope of the line.

Answer:

55

Step-by-step explanation:

35+90=125

180-125=55

The interior angles of a triangle should always add up to 180 degrees

Answer:

B=55 degrees

Step-by-step explanation:

if the shape is a triangle then the sum of the angles of the triangle is 180

angles :A+B+C=180

35+B+90=180

B=180-125

B=55 degrees

Answer:

Angle:

When two lines/rays intersect at a point, they form an angle.

=> Angles may be in radians and degrees.

See the attached file in which two rays intersect to form an angle.

Answer:

[tex]\boxed{\mathrm{view \: explanation \: and \: attachment}}[/tex]

Step-by-step explanation:

Two lines (arms/rays) intersect at one point (vertex) creating an angle.

Answer:

IT'S D

Step-by-step explanation:

LOOK AT THE PATTERN AND YOU WILL UNDERSTAND.

Answer:

ii honestly think d

Step-by-step explanation:

Answer:

1) A'(8, -10)

B'(10, -8)

C'(2, -4)

2) A''(8, -4)

B''(10, -6)

C''(10, -10)

Step-by-step explanation:

1) For reflection across the line y = -1, given that the lowest point is of ABC which is point C with coordinates (2, 2), we have;

The vertical distance from the point C to the line y = -1 is 3 units down, therefore, the coordinate of the reflection of C will be 3 units below the line y = -1 at C'(2, -4)

The coordinates of the point A(8, 8) will be A'(8, -10)

The coordinate of the point B(10, 6) will be B'(10, -8)

2) Given that we have A'(8, -10), B'(10, -8), and C'(2, -4), we have reflection over y = -7, we have;

The coordinates of the point A'(8, -10) will be A''(8, -4)

The coordinate of the point B'(10, -8) will be B''(10, -6)

The coordinate of the point C'(2, -4)will be C''(10, -10)

Which gives, a total translation of -12 units down as follows;

A''(8, -4) - A(8, 8) = (0, -12)

B(10, 6) - B''(10, -6) = (0, -12)

C(2, 2) - C''(10, -10) = (0, -12).

Answer:

  20 km/hr

Step-by-step explanation:

The boat's still-water speed is the average of its speeds against and with the current:

  (15 +25)/2 = 20 . . . km/hr

__

If you want to write equations, you can let b and c represent the speeds of the boat and current in km/hr.

  b - c = 15 . . . . upstream speed

  b + c = 25 . . . . downstream speed

Add these two equations, and you get ...

  (b -c) +(b +c) = (15) +(25)

  2b = 40

  b = 20 . . . . divide by 2

The speed of the boat in still water is 20 km/hr.

Answer:

20 km/hr

Step-by-step explanation:

To solve this, you have to find the average speed it is going. To find this, you just add up all of the speeds mentioned and divide it by the number of speeds you added.

15 +25=40

40/2=20

20km/hr!!!

Good luck on what you are doing I hope you do well! Brainliest would be great :)

Answer:

[tex] r = 17.5 [/tex]

Step-by-step explanation:

Given ∆TRS,

Where,

m < R = 105°

TR = s = 15

RS = t = 6

ST = r = ?

Find r using the Law of Cosines.

[tex] r^2 = s^2 + t^2 - 2*s*t*cos(R) [/tex]

Plug in the values stated above into the formula

[tex] r^2 = 15^2 + 6^2 - 2*15*6*cos(105) [/tex]

[tex] r^2 = 225 + 36 - 180*(-0.2588)[/tex]

[tex] r^2 = 261 + 46.584 [/tex]

[tex] r^2 = 307.584 [/tex]

[tex] r = \sqrt{307.584} [/tex]

[tex] r = 17.5 [/tex] (to the nearest tenth)

Answer: Degree of polynomial (highest degree) =4

Maximum possible terms =9

Number of terms in the product = 5

Step-by-step explanation:

A trinomial is a polynomial with 3 terms.

The given product of trinomial: [tex](x^2 + x + 2)(x^2 - 2x + 3)[/tex]

By using distributive property: a(b+c+d)= ab+ac+ad

[tex](x^2 + x + 2)(x^2 - 2x + 3)=(x^2 + x + 2) x^2+(x^2 + x + 2) (-2x)+(x^2 + x + 2)(3)\\\\=x^2(x^2)+x(x^2)+2(x^2)+x^2 (-2x)+x (-2x)+2 (-2x)+x^2 (3)+x (3)+2 (3)\\\\\\=x^4+x^3+2x^2-2x^3-2x^2-4x+3x^2+3x+6[/tex]

Maximum possible terms =9

Combine like terms

[tex]x^4+x^3-2x^3+3x^2-4x+3x+6\\\\=x^4-x^3+3x^2-x+6[/tex]

Hence, [tex]\left(x^2\:+\:x\:+\:2\right)\left(x^2\:-\:2x\:+\:3\right)=x^4-x^3+3x^2-x+6[/tex]

Degree of polynomial (highest degree) =4

Number of terms = 5

Answer:

Sample Response: To determine the degree of the product of the given trinomials, you would multiply the term with the highest degree of each trinomial together. Both trinomials are degree 2, and when you multiply x2 by x2, you add the exponents to get x4. Thus, the degree of the product is 4. If the product is degree 4, and there is only one variable, the maximum number of terms is 5. There can be an x4 term, an x3 term, an  x2 term, an x term, and a constant term.

The degree of the product of the trinomials is 4 because the degree of each trinomial is 2.

The maximum number of terms in the product of the trinomials is 5.

There can be an x4 term, an x3 term, an x2 term, an x term, and a constant term.

Explanation:

This is the response on Edge 2020-21. Hope this helps, have a great day!

Answer:

128 Apples

Step-by-step explanation:

Answer:

128 apples

Elaborated:

Your first multiple 16 and 7 which is 112. Your than multiply 2 and 8 since the remaining boxes are half full which is 16. 112+16 is 128. Hope this helps!

Answer:

B. Te procedure for constructing the confidence interval is robust. The larger the sample size, the more resistance the mean. Therefore, the confidence interval is more robust.

Step-by-step explanation:

Misentered data illustrates the concept that if the sample size is larger it will be more resistance to mean. This means confidence interval is more robust. In statistics, robust is a modification of confidence interval. It refers to strength of statistical model. Robust statistics is resistant to errors in statistical model.

Answer:

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given function;

y = 5 + x - x²

To find the maximum value, follow these steps

(i) Find the first derivative (which is the slope) of the given function with respect to x. i.e;

[tex]y^{'}[/tex] = [tex]\frac{dy}{dx}[/tex] = [tex]\frac{d(5 + x - x^2)}{dx}[/tex]

[tex]y^{'}[/tex] = [tex]1 - 2x[/tex]

(ii) From the result in (i) determine the value of x for which the slope is zero. i.e.

x for which

1 - 2x = 0

=> 1 = 2x

=> x = [tex]\frac{1}{2}[/tex]

Therefore, the value of x for which the function is maximum is [tex]\frac{1}{2}[/tex]

Answer:

x = 1/2

Step-by-step explanation:

The standard equation of a quadratic function is given by:

y = ax² + bx + c, If a > 0 then the graph has a minimum but if a < 0, then the graph has a maximum. To find the maximum or minimum, we differentiate the function with respect to x and equate to zero that is y'(x) = 0.

For the function y = 5 + x - x², a = -1 < 0, therefore it has a maximum.

Differentiating with respect to x:

y'(x) = 1 - 2x

Equating to zero

-2x + 1 = 0

-2x = -1

x = -1/ -2

x = 1/2

The function has a maximum at x = 1/2

Answer:

0.16

Step-by-step explanation:

See the picture attached for reference.

As you see the best points are the green areas which covers 2 out of 5 zones.

Since it is same for both broken points, the probability of  this is:

Answer is 0.16

__♥__♥_____♥__♥___ Put This

_♥_____♥_♥_____♥__ Heart

_♥______♥______♥__ On Your

__♥_____/______♥__ Page If

___♥____\_____♥___ You Had

____♥___/___♥_____ Your Heart

______♥_\_♥_______ Broken

________♥_________…………….

Answer:

(-4,-7)

Step-by-step explanation:

Use the online graphing calculator called Desmos. That's what I did. Just input the two equations and it'll show you the completed graph. I hope this help you:)

Answer:

The term inside the box should be 3 x.

Step-by-step explanation:

Given the equation:

- (x - 1) + 5 = 2 (x + 3) - T

(where T is the missing term in Leonardo's equation)

we can work with the given terms and accumulate all of them on one side of the equal sign (let's pick the right side for that, and move the tremt T to the left):

- x + 1 + 5 = 2 x + 6 - T

- x + 6 = 2 x + 6 - T

0 = 3 x - T

T = 3 x

For such equation to render infinite number of solutions, the term T on the left must equal "3 x". that way, the equation would be verified for any possible value x.

Answer:

3x

Step-by-step explanation:

i did the test and got it right, hope this helps!

The homework completed by Eric will be equal to 13/21.

The fraction is defined as the division of the whole part into an equal number of parts.

To add fractions, you first have to set the denominators equal to each other. To do this, you find the LCD (least common denominator) of the two fractions until you find a shared number.

To do this, list out the multiples of each number (3x1=3,3x2=6,3x3=9, and so on. Do this also with 7) The LCD for 3 and 7 is 21. 3x7=21, and 7x3=21. You want to set each fraction’s denominator equal to 21.

You want to multiply each side of 1/3 by 7. 1/3 would become 7/21. You’d do this because 3x7=21, and if you multiply the bottom by you need to multiply the top by. 7x3=21 so you multiply both sides by 3 to get 6/21.

Now you have 7/21 and 6/21 and can add them. Now that they are equal, you can ignore the denominator and just add the numerators. 7+6=13 so Eric completed 13/21 of his homework.

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Answer:

Length 37 cm, width 25 cm.

Step-by-step explanation:

Let the original dimensions be length x and width x - 12 cms.

The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.

So , from the areas, we have:

x(x - 12) - (x - 2)(x - 14) = 120

x^2 - 12x  - (x^2 - 16x + 28) = 120

-12x + 16x - 28 = 120

4x = 148

x = 37 cms

So the length was 37 cm and the width was 37-12 = 25 cm.

Answer:

Step-by-step explanation:

To calculate the horizontal distance d we use cosine

cos ∅ = adjacent / hypotenuse

From the question

d is the adjacent

the hypotenuse is 145m

So we have

cos 55 = d / 145

d = 145 cos 55

d = 83.16

d is 83.2 meters to 3 significant figures

Hope this helps you

Answer: 24

Expenation:  

Left handed females = x

right handed females = 348 - x

right handed males = y

left handed males = 204 - y

204 - y = 4x

348 - x = 3y

4x + y = 204  . . . . . . . (1)

x + 3y = 348  . . . . . . . (2)

From (2),  x = 348 - 3y

subsituting for x in (1), we have

4(348 - 3y) + y = 204

1392 - 12y + y = 204

12y - y = 1392 - 204

11y = 1188

y = 1188/11 = 108

x = 348 - 3y = 348 - 3(108) = 348 - 324 = 24

Answer:

24

Step-by-step explanation:

i got it right

Answer:

x is less than or equal to -18

Step-by-step explanation:

When doing this problem, I had to do -6 x 3 and x/3 x 3. This should cancel out the 3 in x/3, leaving you with just x. -6 x 3 is less or equal to -18. To check, I converted -18/3 into a whole number, which gave me -6. This is true to the original inequality. Hope this helped!

Answer:

y=3/10;X=-7/10

Step-by-step explanation:

put y=x+1 into where you find y.

solve for X which is -7/10

and put -7/10 into the second equation and solve for y. which is also =3/10

Answer: D

Step-by-step explanation:

In synthetic division, if the divisor is an expression like x+3, you should always switch it to if x+3 were equal to 0.

[tex]x+3=0\\x=-3[/tex]

So, you should use -3. The only options with -3 are B and D.

The coefficients for the dividend are 7, -2, and 4, so D is the correct answer.

Hope this helps! If you still have questions, please ask.

Answer:

-4x

Step-by-step explanation:

5x - 9x

Factor out x

x( 5-9)

x ( -4)

-4x

Answer:

Step-by-step explanation:

ABC is a right angle triangle.

Therefore,

[tex]cos \: (75) = \frac{ab}{ac} [/tex]

Plug the values

[tex]cos \: (75) = \frac{x}{21} [/tex]

Apply cross product property

[tex]x = 21 \times cos(75)[/tex]

Calculate

[tex]x = 5.435[/tex]

After rounding to the nearest tenth, the answer will be:

[tex]x = 5.4[/tex]

Hope this helps...

Best regards!!

Answer:

15

1

yes

Step-by-step explanation:

took the thingy on edge 2020

Answer:

agree with the other person

Step-by-step explanation:

Answer:

x = 74°

Step-by-step explanation:

The diagram shown in this question, is a Quadrilateral inscribed in a circle

It is important to note that

The sum of opposite angles in a Quadrilateral = 180°

93° + z = 180°

z = 180° - 93°

z = 87°

In a cyclic quadrilateral,

Intercepted angle = 1/2(Intercepted arc)

Intercepted angle = 93°

Intercepted arc = x + 112°

Hence,

93° = 1/2(x + 112)°

93° × 2 = x + 112°

186° = x + 112°

x = 186° - 112°

x = 74°

Answer:

It’s 87° for mine

Step-by-step explanation: