On average, Margo scores a goal for her field hockey team every 2 out of 3 shots. Margo uses a number cube to simulate her next three shots. She assigns 1 to 4 as goals and 5 and 6 as missed shots. Why does this assignment of numbers on the number cube make it a valid simulation?

Answer:

5. % increase in user base per month (g) = 10% Users at t0 (P) = 10000

Step-by-step explanation:

Answer:

nice

Step-by-step explanation:

very cool - crispin

Answer:

f(x) = -(x + 8)(x -14)

= -(x2 - 112 - 6x)

= -x2 + 6x + 112 --- (1)

We know the graph of an equation y = ax2 + bx + c where a ≠ 0 is a parabola. The parabola opens upwards if a > 0 and opens downwards if a < 0. The vertex of the parabola is the point where the axis and parabola intersect. Its x coordinate x = -b/2a and its y coordinate is found out by substituting x = -b/2a in the parabola equation.

The parabola given in the problem statement has a negative coefficient of x2 and hence it is a parabola which opens downwards. Also for the equation

a = -1, b = 6 and c = 112. Therefor the x-coordinate of the vertex is

x = -b/2a

= -(6)/[2(-1)]

= 3

Substituting the value of x = 3 in equation (1) we get,

Now y = -(3)2 + 6(3) + 112

= -9 + 18 + 112 = 121

So the vertex point coordinates are (3, 121) and the y value is 121.

The graph below verifies the vertex point.

vertex of the graph

What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)?

Summary:

The y-value of the vertex of the function f(x) = -(x + 8)(x - 14) is 121.

Answer:

I think A is the best answer

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

A. Perpendicular Bisector Theorem :)

If a point is the perpendicular bisector of a segment, it splits the segment equally in half, meaning that the endpoints are equidistant from the bisector!

Answer:

Step-by-step explanation:

Here are the examples:

In this case, a X coordinate will increase by 2.

Correct choice is C.

Step-by-step explanation:

3x - 5x - 4 - x^2 + 12x - 17x^2 - 16

= -2x - 20 - 18x^2 + 12x

= 10x - 20 - 18x^2

Hope it helpz~ uh..

The total number of students that asked questions can be determined by counting the total answers. The total number of students that were asked is 10

The sample size is defined as the total number of respondents present in a sample.

If several students in Ashton's class were randomly selected and asked how many text messages they sent yesterday and their answers are 2, 0, 7, 8, 5, 8, 4, 0, 3, 6

The total number of students that asked questions can be determined by counting the total answers.

From the data given, the total number of students that were asked is 10

Learn more on sample size here: https://brainly.com/question/14470673

[tex]Q_3-Q_1=Q_i[/tex]Answer:

The answer is 10. Frank has done more than Marquis by10.

Step-by-step explanation:

From the internet, the interquartile is Q_3-Q_1=Q_inter

From Marquis his Q_3 = 40 and Q_1 = 20

[tex]Q_3-Q_1=Q_i[/tex]

40-20=20

From Frank his Q_3 = 40 and Q_1 = 10

[tex]Q_3-Q_1=Q_i[/tex]

40-10=30

Frank's interquartile is 30 and Marquis interquartile is 20.

Differences between the both of them.

30-20=10

Transforming the rectangle WXYZ involves changing the location of the rectangle

The algebraic representation of the transformation is (x, y) → (x, -y)

From the complete question, we have the coordinates of points W and Z to be:

W = (-3,1)

Z = (2,1)

And the new points are:

W = (-3,-1)

Z = (2,-1)

Notice that the x-coordinates remain the same, while the y-coordinates are negated.

This is represented as:

(x, y) → (x, -y)

Hence, the algebraic representation of the transformation is (x, y) → (x, -y)

Read more about translation at:

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Answer:

410.7 cm^3

Step-by-step explanation:

volume = (l*w*h)/3

volume = (14*8*11)/3

volume = 410.667

The weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs

The given parameters are:

The weights within 2 standard deviation is represented as:

μ - 2σ ≤ x ≤ μ + 2σ

Substitute known values

9.5 - 2(0.5) ≤ x ≤ 9.5 + 2(0.5)

Evaluate the product

9.5 - 1 ≤ x ≤ 9.5 + 1

Evaluate the sum

8.5 ≤ x ≤ 10.5

This means that the weights are between 8.5 and 10.5 (inclusive)

Hence, the weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs

Read more about standard deviation at:

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Answer:

B C D

Step-by-step explanation:

I got it right on the quiz. :)

Answer:

[tex]( - 41) + ( - 40) \\ - 41 - 40 \\ 81[/tex]

Step-by-step explanation:

I hope I helped you! :)

Answer:

option (A) —Permutation.

Step-by-step explanation:

this is because permutation comes in this form and looks like that and I have learnt permutation in the past.

so yeah;

examples of permutations:

²⁰p9 ( 20 upper case, 9 lower case and p in-between)

we can solve it by

Formula: n!/(n-r)!

soooo

20!/(20-9)!

= 20!/(11)!

=20x19x18x17x16x15x14x13x12x11!/11!

we cancel out the 11!s (for easier solving)

and multiply or cancel out the remaining ( if you can't cancel out yet just multiply)

we get,

6.09493248 x 10¹⁰

~ 6 x 10¹⁰

there you go.( I know I did a little bit too much)

Hope this helps

Good luck.

Step-by-step explanation:

if i pick (3,4) and (6,10)

the formula for gradient is difference in y divided by difference in x . therefore

10-4 divided by 6 - 3 equals to 6 divided by 3 = 2

the gradient is 2

Answer: X/3

Step-by-step explanation:

Asher = 3 Camilla

If Asher is X, then X is 3C and C= X/3

Answer:

Step-by-step explanation:

Answer:

25.25

Step-by-step explanation:

3y-1 (y) = 102

4y-1 = 102

4y = 101

y = 25.25

Answer:

It takes 10 groups of 7 to make 7 tens

Step-by-step explanation:

I’m smart

Answer:

7.5 cups of sugar

Step-by-step explanation:

3 cups /12 cupcakes    *   30 cupcakes = 7.5 cups

Answer:

9

Step-by-step explanation:

let's assume ;

12=a

15=c

?=b

so;

a2+b2=c2

(12)2+b2=(15)2

144+b2=225

b2=225-144

b2=81 (square root both sides)

You'll get

b=9

NB; 2 is used as squared

Answer:

ITS 9

Step-by-step explanation:

Trust me i just finished the quiz (credit to dude on top)

Answer:

>

Step-by-step explanation:

3/6 and 1/4

3/6 = 1/2

1/2 = 2/4

2/4 > 1/4

Answer:

false

Step-by-step explanation:

as a guy who studied calculus, a lot of things were done that are just mathematically incorrect. for instance,

infinity - infinity is not 0.

0÷0 is undefined. so you cant just equate it to ( 2 × infinity)

to sum up this proof is entirely false.

if you still have any doubts make sure to ask.

Answer:

Refer to the attachment .

_______

Hope it helps ⚜

The horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

The complete question is:

" For a typical human height of 2 meters, what is the horizon distance on A) Earth (R=6378 km); B) Mars ( 3,374 km); C) The Moon ( 1,738 km); Mars' moon Diemos ( 6 km) "

Radius touching the line which passes touching the circle (tangent) is perpendicular(to 90°) to it.

Consider the diagram attached below:

The distance D is the distance of horizon from the eyesight of viewer.

The value of h is the height of the observer.

For the triangle ABC, the length of the hypotenuse is: h + R

Other two sides which are mutually perpendicular are of length R and D.

Thus, by using Pythagoras theorem, we get:

[tex]R^2 + D^2 = (h+R)^2\\D = \sqrt{h^2 + R^2 + 2hR -R^2}\\\\D = \sqrt{h^2 + 2hR}\\[/tex]

(positive root as D is representing length, a non-negative quantity).

We're given h = 2, so we get:

[tex]D = \sqrt{4+4R} = 2\sqrt{1+R} \: \rm m[/tex]

6378 km = 6378000 m

[tex]D = 2\sqrt{6379001} \approx 5051 \: \rm m \approx 5 \: km[/tex]

3374 km = 3374000 m

[tex]D = 2\sqrt{3374001} \approx 3674 \: \rm m \approx 3.7 \: km[/tex]

C) The Moon ( 1,738 km);

1738 km = 1738000 m

[tex]D = 2\sqrt{1738001} \approx 2637 \: \rm m \approx 2.6 \: km[/tex]

D)Mars' moon Diemos ( 6 km)

6 km = 6000 m

[tex]D = 2\sqrt{6001} = 154.93 \: \rm m \approx 0.15 \: km[/tex]

Thus, the horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).

Learn more about Pythagoras theorem here:

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Answer:c x=13

Step-by-step explanation:

straight line =180

180-50=130

7x+3x=10x

130/10=13

So the answer is x=13

Answer:

4. y = |x| + 2

Step-by-step explanation:

"g(x) = |x| + k" means that f(x) will be translated however many units up or down depending on k. If k is positive, the graph will translate up. If k is negative, the graph will translate down. Because we need to translate up, the value of k needs to be positive. The best answer choice is choice 4, y = |x| + 2.

We can eliminate choices 1 and 2 because the way the equations are set up are for the horizontal translations.

g(x) = |x - h| are for horizontal translations.

g(x) = |x| + k are for vertical translations.

The third choice is wrong as well because k is negative, not positive.

hope this helps!

Answer:

4. y = |x| + 2

Step-by-step explanation:

Answer:

33.3%

Step-by-step explanation:

$2 on nachos and $2 on candy will get you $4 spent on them both.

You then have a fraction (4/12)which is 1/3.

1/3=33.3%

The most likely next step in the series is 5 rows with 4 dots in each row and 4 columns.

Option C is the correct answer.

A series of patterns is a sequence of recurring designs or motifs that follow a particular order or progression.

Patterns can be found in many different fields, such as mathematics, science, art, and literature.

We have,

From the series of patterns,

We see that,

In the first pattern, there are 3 rows with 2 dots in each row and 2 columns.

In the second pattern, there are 4 rows with 3 dots in each row and 3 columns.

This means,

In the third pattern, there must be 5 rows with 4 dots in each row and 4 columns.

Thus,

The most likely next step in the series is 5 rows with 4 dots in each row and 4 columns.

Learn more about series of patterns here:

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Answer:

6mph

Step-by-step explanation: