Ron randomly pulls a pen out of a box that contains 1 red, 2 black, and 3 blue pens. He does
this 4 times, replacing the pen each time, but pulls out a blue pen only 1 time. Ron concludes
that the observed frequency of pulling a blue pen will eventually be closer to the expected
frequency based on the theoretical probability of pulling a blue pen. Which reasoning best
supports his conclusion?
Is it A, B, C, or D
PLEASE HELP ME :)

1. (16x² + 48x) ÷ 8x

[tex]\implies \sf{\dfrac{8x(2x + 6)}{8x}}[/tex]

[tex]\implies \sf{2x + 6}[/tex]

2. (56x² - 14x) ÷ 7x

[tex]\implies \sf{\dfrac{7x(8x - 2)}{7x}}[/tex]

[tex]\implies \sf{8x - 2}[/tex]

3. (20x² - 32x) ÷ 4x

[tex]\implies \sf{\dfrac{4x(5x - 8)}{4x}}[/tex]

[tex]\implies \sf{5x - 8}[/tex]

4. (18x² + 15x) ÷ 3x

[tex]\implies \sf{\dfrac{3x(6x + 5)}{3x}}[/tex]

[tex]\implies \sf{6x + 5}[/tex]

Answer:

504

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

100/8 = 12.5

Answer:

12<x<26

Step-by-step explanation:

7 + 19 = 26

19 - 7 = 12

Always put the larger number before the smaller one while subtracting like I just did.

The inequality to represent the range of lengths for the third side as

{x} < 26.

A triangle is a two - dimensional figure with three sides and three angles.

The sum of the angles of the triangle is equal to 180 degrees.

∠A + ∠B + ∠C = 180°

Given is that two sides of a triangle measure 7 feet and 19 feet.

It is aske to write an inequality to represent the range of lengths for the third side. It is given that two sides of a triangle measure 7 feet and 19 feet.

For a inequality, the sum of the lengths of the two smaller sides is greater than the length of the maximum side. So, write an inequality to represent the range of lengths for the third side as -

19 + 7 > x

x < 19 + 7

x < 26

So, we can conclude that the inequality to represent the range of lengths for the third side as {x} < 26.

Therefore, the inequality to represent the range of lengths for the third side as {x} < 26.

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Answer:

The cylinder has the larger volume. this is because the formula for the volume of a cone and cylinder are the same but the cone has the fraction 1/3.

So, three cones can fit into the cylinder, so it is less then one half

Answer:

p≤ -9

Step-by-step explanation:

4p-1≤ 3p-10

4p-3p≤ 1-10

p≤ -9

If this helps please mark as brainliest would really appreciate it

Answer:

See the image below:)

Step-by-step explanation:

Answer:

The volume and area ones you just multiply the 2 numbers

if you cant multiply or is too la z. y to do so like me just g o o g l e it

Step-by-step explanation:

Answer:

[tex]b = \sqrt{ \frac{ {c}^{2} }{2 {\pi}^{2} } - {a}^{2} } [/tex]

The single expression that represents the surface area of the rectangular prism is :

S= 2lw + 2lh + 2wh

Let us assume the l is length, width is w and h is the height of the rectangular prism.

What is the rectangular prism?

In geometry, a rectangular prism can be stated as a 3-dimensional solid shape that has 6 faces with its base as rectangles.

So, the surface area S would be :

S = surface area

S= 2lw + 2lh + 2wh

where,

l= length

w= width

h = height

Therefore, the surface area of the rectangular prism is :

S= 2lw + 2lh + 2wh

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Answer:

b

Step-by-step explanation:

Answer:

3 cookies

Step-by-step explanation:

After he gave nine cookies to teachers,he have 39 cookies left.He shared 36 cookies to his 18 classmates at the rate of 2 cookies per person.Then,3 cookies remained.I may be wrong but,it is answer according to me.

hope it helps u and keep smiling :)

Given:

Consider the below picture attached with this question.

The given expression is:

[tex]\dfrac{9m^2}{3m}-\dfrac{4m}{3m}-\dfrac{6}{3m}[/tex]

To find:

The next step.

Solution:

We have,

[tex]\dfrac{9m^2}{3m}-\dfrac{4m}{3m}-\dfrac{6}{3m}[/tex]

Cancel out the common factors.

[tex]=3m-\dfrac{4}{3}-\dfrac{2}{m}[/tex]

Therefore, the correct option is D.

Which are the base and height of the triangle?

Answer: If 10 and 15 are base and height, then answer is 75 cm squared. If 15 and 18 are base and height, then answer is 135 cm squared. If 10 and 18 are base and height, then answer is 90 cm squared.

Answer:75

Step-by-step explanation:

Answer:

2x = 140  x = 70

Step-by-step explanation:

If you add the other 2 angles together, you get 150. Subtract 150 from 360 to get 210. Divide that by 3 and you get 70. Because QRS is 2 times the size of PQR, it is equal to 140.

Hope that this helps!

Explanation:

The sum of the interior angles of a quadrilateral is 360°.

x + 2x + 80 + 70 = 360

3x + 150 = 360

3x = 210

or

x = 70°

Therefore

angle Q = 70°

angle R = 2x = 140°

x = 242.7 m

Step-by-step explanation:

First we need to find the angle at one of the parachutists:

180 - 57 - 43 = 80°

We then use sine law to find the distance between the parachutists

[tex] \frac{x}{ \sin(57) } = \frac{285 \: m}{ \sin(80) } [/tex]

Solving for x

[tex]x = (\frac{ \sin(57) }{ \sin(80) } )(285 \: m) = 242.7 \: m[/tex]

Answer:

72π feet

Step-by-step explanation:

circumference of circle= 2πr

Diameter= 2(radius)

radius of circle

= 72 ÷2

= 36 ft

Circumference

= 2(π)(36)

= 72π ft

Answer:

The Answer is 69.27

Step-by-step explanation:

Complete question :

The average daily volume of a computer stock in 2011 was p = 35.1 million shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of 40 trading days in 2014, he finds the sample mean to be 30.9 million shares, with a standard deviation of s = 11.8 million shares. Test the hypotheses by constructing a 95% confidence interval. Complete parts (a) through (c) below. State the hypotheses for the test. Construct a 95% confidence interval about the sample mean of stocks traded in 2014.

Answer:

H0 : μ = 35.1 ;

H1 : μ < 35.1 ;

(26.488 ; 35.312)

Step-by-step explanation:

The hypothesis :

H0 : μ = 35.1

H1 : μ < 35.1

The confidence interval :

Xbar ± Margin of error

Xbar = 30.9

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 95% = 1.96

Margin of Error = 1.96 * (11.8/sqrt(40))

Margin of Error = 4.412

Lower boundary :

30.9 - 4.412 = 26.488

Upper boundary :

30.9 + 4.412 = 35.312

Confidence interval = (26.488 ; 35.312)

Since the population mean value exists within the interval, the we fail to reject the Null.

Answer:

it's 10 but i do'nt know the rule i'm sorry

Step-by-step explanation:

Answer:

8 in.

Step-by-step explanation:

The ratio of the surface areas is equal to the square of the ratio of the heights

Let h = the height of the smaller dodecagonal pyramid

So,  [tex]\frac{2080}{130} = \frac{32^{2}}{h^{2} }[/tex]

[tex]h^{2} = \frac{32^{2} * 130 }{2080}[/tex]

[tex]h^{2} = 64[/tex]

h = 8 in.

Answer:

most is neighbor b

Step-by-step explanation:

1 yard is 3 feet

Answer:

Which neighbor's fencing project will take the least amount of time to complete?  Neighbor B

Which neighbor's fencing project will take the most amount of time to complete?  Neighbor C

Answer:

70degrees

Step-by-step explanation:

Using the theorem;

Angle at the vertex is the half of the difference of the angles at its intercepted arcs

Angle at the vertex = 24 degrees

difference of the angles at its intercepted arcs = 118 - x

According to the theorem;

24 = 1/2(118 - x)

Cross multiply

24 * 2 = 118 - x

48 = 118 - x

x = 118 - 48

x = 70degrees

Hence the value of x is 70degrees

Answer:

The answer is letter B. the second one

Answer:

feel like its C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1. Rhombus

2. Square

3. Rectangle

4. Quadrilateral

5. Parellelogram

6. Trapezoid

7. Rhombus

8. Rectangle

9. Rhombus

Answer:

Step-by-step explanation:

1. Rhombus

2. Square

3. Rectangle

4. Kite (?)

5. Parallelogram

6. Trapezoid

7. Rhombus (?)

8. Rectangle

9. Rhombus