Question: There are 60% of students currently taking AP Biology who have taken previous AP courses. Carver High School has 9 of 15 students who have taken previous AP courses. Design a simulation to determine the probability of getting this number of students, who have taken previous AP courses, in a group this size. Which of the following assignments of the digits 0 through 9 would be appropriate for modeling this situation? (2 points)

Options:
A. Assign 0, 1, and 2 as having taken previous AP courses and 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
B. Assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.
C. Assign 0 and 1 as having taken previous AP courses and 2, 3, 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
D.Assign 0, 1, 2, and 3 as having taken previous AP courses and 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
E. Assign 7, 8, and 9 as having taken previous AP courses and 0, 1, 2, 3, 4, 5, and 6 as not having taken previous AP courses.

Answer:

xy = 450

Step-by-step explanation:

The relationship will be xy=450.

The area defines the extent of the region in which we are working.

As we know,

The area of a rectangle is given by xy=A

Where x, and y are the sides and A is the area.

So, the relation will be xy=450.

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Answer:

Weight of Smaller Bag = 7kg

Weight of Larger Bag = 22kg

Step-by-step explanation:

x = weight of smaller bag

x + (x + 15) = 29

2x + 15 =29

2x = 14

x = 7

Answer: it would be 100 plus 65 = 165 hope this helped

Step-by-step explanation:

As per transformation of graph, h(x) = ([tex]\frac{1}{5}[/tex])x² + 12 represents that the graph of f(x) is horizontally compressed by a factor of 5 and shifted up 12 units.

"Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It's a common type of problem in algebra, specifically the modification of algebraic equations.

Given, the graph is f(x) = x².

We know that, at the time of horizontally compressing a graph we need to multiply it by a factor of ([tex]\frac{1}{a}[/tex]).

Again, at the time of shifting a graph up we need to add a positive number of (b).

Therefore, a = 5 and b = 12.

Now, if we horizontally compress f(x) it by a factor of ([tex]\frac{1}{5}[/tex]) then it be ([tex]\frac{1}{5}[/tex])x².

Again,  if we shifted up f(x) by 12 units, then it be ([tex]\frac{1}{5}[/tex])x² + 12.

Therefore, h(x) = ([tex]\frac{1}{5}[/tex])x² + 12 represents that the graph of f(x) is horizontally compressed by a factor of 5 and shifted 12 units up.

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Answer:  f(x) = 2x - 3

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

We're given f(-1) = -5 and f(5) = 7

This means we know the two points (-1,-5) and (5,7) are on the line.

Find the slope

m = (y2-y1)/(x2-x1)

m = (7-(-5))/(5-(-1))

m = (7+5)/(5+1)

m = 12/6

m = 2

The slope is 2.

Use this along with (x1,y1) to find the equation. We'll use point slope form

y - y1 = m(x - x1)

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

y + 5 = 2(x + 1)

y = 2x + 2 - 5

y = 2x - 3

f(x) = 2x - 3

Answer:

Step-by-step explanation:

given data

fixed cost= $14,000

variable cost function

[tex]V(x) = 0.000001x^3 - 0.01x^2 + 50x[/tex]

revenue function

[tex]R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500)[/tex]

a. we know that total cost C=fixed cost plus variable cost

C=14000+0.000001x^3 - 0.01x^2 + 50x

[tex]C=14000+0.000001x^3 - 0.01x^2 + 50x[/tex]

profit is given as revenue minus the total cost

P=R(x)-C   (x=2600)

[tex]P=-0.02x^2 + 150x -(14000+0.000001x^3 - 0.01x^2 + 50x)[/tex]

substitute x=2600

[tex]P=-0.02(2600)^2 + 150(2600) -(14000+0.000001(2600)^3 - 0.01(2600)^2 + 50(2600))[/tex]

[tex]P=-135200+390000-(1400+17576-67600)[/tex]

[tex]P=-254800-(48624)\\\\P=-254800-48624\\\\P=-303,424[/tex]

Answer:

x = 25

Step-by-step explanation:

Given:

Amount invest p = Tk.x

Number of year t = 4

Rate r = x%

Profit = Tk.x

Find:

Value of x

Computation:

Profit = prt / 100

Tk.x = [(Tk.x)(x)(4)] / 100

x = 100 / 4

x = 25

Answer:

y = 4/3x - 6

Step-by-step explanation:

The slope of the 1st line is -3/4

So for the perpendicular line it has to be the exact opposite.

That looks like this ---> 4/3x

And the y-intercept is -6 because if you make a straight line where the x intercept is it matches.

The equation would look like this

y = 4/3x - 6

Hope this helps! Have a blessed day!

Answer:

Wheres the picture that gose with it ?

Step-by-step explanation:

Answer:

x= 17

Step-by-step explanation:

Go to

so whats the question to me its feels like your tell us

Answer:

m∠1 = 112°

Step-by-step explanation:

To solve for m∠1, we need to find the supplementary angle and subtract from 180°.  We also know that m∠2 = 44° and the remaining two angles inside the triangle are the same because of the congruent sides, let's call each angle x.

Therefore m∠2 + x + x = 180; combine x's

m∠2 + 2x = 180; substitute m∠2 = 44°

44 + 2x = 180; subtract 44 from both sides

2x = 136; divide by 2

x = 68°

Therefore using the supplementary angle

x + m∠1 = 180 (because it is supplementary)

68 + m∠1 = 180; subtract 68 from both sides

m∠1 = 112°

Answer:

the answer is E. hope this helps

Step-by-step explanation:

Answer:

its in progress so tell ur teacher.

Step-by-step explanation:

Step-by-step explanation:

in one month , it runs for 52/12 weeks

that is 4 weeks

Answer:

42%

Step-by-step explanation:

100% - 58% = 42%

Answer:

x = 10

Step-by-step explanation:

x x 2 + x - 30 = 0          use the commutative property to reorder the terms

2x + x - 30 = 0             collect like terms

3x - 30 = 0                move constant to the right hand side and change its sign

3x = 30                      divide both sides of the equation by 3

x = 10

Answer:

i dont know how to leave from this....

Step-by-step explanation:

someone else answered your question sorry i just dont know how to leave fromthis

Answer/Step-by-step explanation:

10 is between the perfect squares of 9(3) and 16(4).

This means the square root of 10 is between 3 and 4.

The square root of 10 is about 3.162

So, it is less than 5.

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

Explanation:

Let's use numbers in place of the variables

Let's say Anna is 25 years old and her sister Jane is 5 years younger.

This means Anna was 25-5 = 20 years old when Jane was born.

-------------------------

As another example:

Anna = 37 years old

Jane = 10 years younger

Anna was 37-10 = 27 when her sister was born

--------------------------

The examples show that all we do is subtract the x and y values to figure out how old Anna was when her sister was born.

For the first example, we basically did x-y = 25-5 = 20

The second example was x-y = 37-10 = 27

A variable is placeholder for a number. Think of it as a box where a single number will go inside.

Answer:

0+y

Step-by-step explanation:

When Jane was born, Anna was y years old because Jane was 0 years old. That is why the Answer if y or 0+y. But I think the 0+y is more accurate.

Answer:

80%

Step-by-step explanation:

you just move the decimal over twice have a great day

Answer:

EF = 7 + 39 = 46

Step-by-step explanation:

EF = FG

x + 39 = 7x - 3

39 + 3 = 7x - x

42 = 6x

x = 42/6

x = 7

hope this helps :)

Answer: x = -4 or x = 7

Step-by-step explanation:

x^2 - 3x - 28 =/>

(factor)

(x^2 + 4)(x-7) = 0

x + 4 = 0 or x - 7 = 0

(subtract -4 from 0 and 7 from 0)

x = -4 or x =7

Answer:

(infinity, -4] or [7, infinity).

Step-by-step explanation:

right on edge

Answer:

65

Step-by-step explanation:

Answer:

Since the ratios are not equal the triangles are not similar

Step-by-step explanation:

Triangle Similarity

For both triangles to be similar, their corresponding side lengths should be proportional by the same scale factor.

Triangle BAK has side lengths: BA=60, AK=38, and KB=36

Triangle JOL has side lengths: JO=50, OL=28, and LJ=26.

Calculating the ratios of the corresponding side lengths:

BA/JO=60/50=1.2

AK/OL=38/28=1.36

KB/LJ=36/26=1.38

Since the ratios are not equal the triangles are not similar

Answer:

56

Step-by-step explanation:

Answer:

#5 x=8, #6 x=5

Step-by-step explanation:

Theyre vertical so for number 5 you would have the equation

5x+15=55

    -15   -15 from both sides

5x=40

divide by 5 from both sides and you get

x=8

Same thing vertical so you would have  

16x+7=87

    -7    -7 from both sides

16x=80

divide by 16 from both sides

x=5

Answer:

7 pieces

Step-by-step explanation:

21 yards have 63/3 of rope

2 2/3 yards are 8/3 yards

63/3 devided by 8/3 is almost 7 and 7/3

Translate this to english

Por favor ayúdame, no puedo tener constante y> -2x + 1

y≤ x + 3 caca es 6 pies arriba en la jaula de mi perro