Watch help video
In the diagram below of triangle MNO, P is the midpoint of MO and Q is the
midpoint of NO.If PQ = 49 – 8x, and MN = 41 + 3x, what is the measure of
MN?
O
N
P
M M

Watch Help VideoIn The Diagram Below Of Triangle MNO, P Is The Midpoint Of MO And Q Is Themidpoint Of

Answers

Answer 1

Answer:

MN = 50

Step-by-step explanation:

Given:

PQ = 49 – 8x

MN = 41 + 3x

Required:

Measure of MN

Solution:

PQ = ½(MN) => Mid-segment theorem of a triangle

Substitute

49 - 8x = ½(41 + 3x)

Multiply both sides by 2

2(49 - 8x) = 41 + 3x

98 - 16x = 41 + 3x

Collect like terms

98 - 41 = 16x + 3x

57 = 19x

57/19 = 19x/19

3 = x

x = 3

Find MN:

MN = 41 + 3x

Plug in the value of x

MN = 41 + 3(3) = 41 + 9

MN = 50


Related Questions

Fractions are hard... Or I'm just to lazy to try and do them.

Answers

Answer: C) 3/2

Explanation: In math, the reciprocal is the inverse of a number or value. Simply, the number when flipped. Knowing this, one can flip the fraction to find the reciprocal, in this case turning 2/3 into 3/2.

Hope this helps :)

Marlene is trying to estimate v 42. She uses this table of values:
Square 6.02 6.12 6.22 6.32 6.42 6.52
Value
36.0 37.2 38.4 39.7 41.0 42.3
Square 6.62 6.72 6.82 6.92 7.02
Value
43.6 44.9 46.2 47.6 49.0
What should she do next to find 42 to the nearest hundredth?
A. She should find the squares of numbers between 6.4 and 6.5.
ООО
B. She should find the average of 6.4 and 6.5.
C. She should find the squares of numbers between 6.5 and 6.6.
O D. She should estimate that 42 is 6.50,

Answers

B. She should find the average of 6.4 and 6.5 fry us soshdnsaohsxjx

Answer:

A

Step-by-step explanation:

Did the quiz

Can you help me with this question? 15 points and brainliest if right!

Answers

Answer:

3/4

Step-by-step explanation:

because it is a linear function it means it has the same slope in every point

so you have to take 2 points and find the slope

I take points (0,1) and (4,4)

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

note that it does not matter which points you chose to be second or first

m = (4-1) / (4-0) = 3/4

you can solve it from the graph too 3/4 is y/x it means for every 4 unit right move 3 units up

Evaluatef(x) = 2.5x-11 when x = 4

Answers

Answer:

-1

Step-by-step explanation:

f(4) = 2.5(4) -11

f(4) = 10 -11

f(4) = -1

What is the greatest common
factor of the expression?
2x^2y^3+4x^2y^5

Answers

Answer:

[tex]2x^2y^3[/tex]

Step-by-step explanation:

The given expression is :

[tex]2x^2y^3+4x^2y^5[/tex]

We need to find the greatest common  factor of the expression.

The first term is [tex]2x^2y^3[/tex]

The other term is [tex]4x^2y^5[/tex]

[tex]2x^2y^3[/tex] is common in both terms. So,

[tex]2x^2y^3(1+2y^2)[/tex]

Hence, the greatest common factor of the expression is equal to [tex]2x^2y^3[/tex].

A country's population in 1993 was 204 million. In 2000 it was 208 million. Estimate the population in 2015 using the exponential growth formula. Round your answer to the nearest million. P- Aekt​

Answers

Answer:

217

Step-by-step explanation:

Allison works at a Bank. Her employer offers her a retirement pension plan which will be 1.75% of her average salary for the last five years of employment for every year worked. Allison is planning on retiring after working at the Credit Union for 32 years. Her salaries over the last five years are $70,000; $73,100; $75,200; $77,500; and $79,000. Calculate Allison's annual pension.​

Answers

9514 1404 393

Answer:

  $41,977.60

Step-by-step explanation:

Allison's average salary for the last 5 years is ...

  (70 +73.1 +75.2 +77.5 +79)/5 = 74.96 . . . . thousand dollars

Then her annual pension is ...

  1.75% × $74,960 × 32 = $41,997.60

what is the solution​

Answers

Answer:

c 13 over 12

Step-by-step explanation:

it help I makeit

Find the value of x

Answers

Answer:

x = 40

Step-by-step explanation:

Two triangles are similar so we can use similarity ratio to find x

x/16 = 35/14 cross multiply expressions

14x = 560 divide both sides by 14

x = 40

write a recursive formula for the following sequence 25,43,61,79,97
F(1)= 25
F(n)= F (n-1) +18

Answers

Given:

The sequence is:

25,43,61,79,97

To find:

The recursive formula for the given sequence.

Solution:

We have,

25,43,61,79,97

Here, the first term is 25. Now, the differences between the two consecutive terms are:

[tex]43-25=18[/tex]

[tex]61-43=18[/tex]

[tex]79-61=18[/tex]

[tex]97-79=18[/tex]

The differences between the two consecutive terms is common, i.e., 18. So, the given sequence is an arithmetic sequence.

The recursive formula of an arithmetic sequence is:

[tex]F(n)=F(n-1)+d[/tex]

Where, d is the common difference and F(1) is the first term.

Putting [tex]d=18[/tex], we get

[tex]F(n)=F(n-1)+18[/tex], where [tex]F(1)=25[/tex].

Therefore, the required recursive formula is [tex]F(n)=F(n-1)+18[/tex], where [tex]F(1)=25[/tex].

Which score is better in terms of percentages: 12 out of 15 or 23 out of 26?

Answers

Answer:

23/26 is a greater percentage, it equals around 88% while 12/15 equals 80%

Step-by-step explanation:

Executives from Six Flags, a well-known amusement park chain, had interest in constructing a Six Flags theme park in a location near Ames city limits. Experts believed that approximately 15% of the surrounding population would be interested in becoming season ticket holders. A random sample of 500 residents of Story County was collected (of the approximately 80,000 residents of Story County). Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames. The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to ___________.

Answers

Answer:

The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to 0.248.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames.

This means that [tex]p = \frac{124}{500} = 0.248[/tex]

The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to

By the Central Limit Theorem, it is equal to the sample proportion of 0.248.

Somebody else has to comment for me to Mark u as BRAINLIEST!! It won't let me

Answers

Answer:

7.5 is the difference

Step-by-step explanation:

basketball mean

(13+22+23+24+36+37+42+43+58+69) ÷10 = 36.7

tennis mean

(14+23+24+38+47+48+57+58+66+67) ÷10 = 44.2

tennis mean - basketball mean

44.2 - 36.7= 7.5


Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

Answers

Answer:

The relationship between the above two triangles is SAS and they are congruent

What is the domain of the function graphed below?​

Answers

Answer:

x < 7

Step-by-step explanation:

the domain of a function defines the valid x values for the function.

as we go from left to right through all possible values of x, we see all values incl. x=-1 are creating a valid function result (y) for this function. until we reach x=7.

the empty ball indicates that there is no y value defined here. and for any value x>7 there is no y value defined.

so, x < 7 is the right one.

Answer: A

Step-by-step explanation:

A rectangular area is to be enclosed using an existing

wall as one side 100m of fencing are available for the

three side. It is desire to make the areas as large as

possible. Find the necessary dimension of the

enclosure and the maximum area.​

Answers

Answer:

[tex]\text{Dimensions: 25 x 50},\\\text{Area: }1,250\:\mathrm{m^2}[/tex]

Step-by-step explanation:

Let the one of the side lengths of the rectangle be [tex]x[/tex] and the other be [tex]y[/tex].

We can write the following equations, where [tex]x[/tex] will be the side opposite to the wall:

[tex]x+2y=100,\\xy=\text{Area}[/tex]

From the first equation, we can isolate [tex]x=100-2y[/tex] and substitute into the second equation:

[tex](100-2y)y=\text{Area},\\-2y^2+100=\text{Area}[/tex]

Therefore, the parabola [tex]-2y^2+100y[/tex] denotes the area of this rectangular enclosure. The maximum area possible will occur at the vertex of this parabola.

The x-coordinate of the vertex of a parabola in standard form [tex]ax^2+bx+c[/tex] is given by [tex]\frac{-b}{2a}[/tex].

Therefore, the vertex is:

[tex]\frac{-100}{2(-2)}=\frac{100}{4}=25[/tex]

Plug in [tex]x=25[/tex] to the equation to get the y-coordinate:

[tex]-2(25^2)+100(25)=\boxed{1,250}[/tex]

Thus the vertex of the parabola is at [tex](25, 1250)[/tex]. This tells us the following:

The maximum area occurs when one side (y) of the rectangle is equal to 25The maximum area of the enclosure is 1,250 square meters The other dimension, from [tex]x+2y=100[/tex], must be [tex]50[/tex]

And therefore, the desired answers are:

[tex]\text{Dimensions: 25 x 50},\\\text{Area: }1,250\:\mathrm{m^2}[/tex]

Plz help i need a correct answer

Answers

Answer:-244

Step-by-step explanation:

I think you subtract -290 from -46.

Sorry If I am wrong.

Answer:  244 feet

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

Explanation:

Imagine reflecting everything so that location A is above location B. Effectively all you're doing is erasing the negative signs.

That would place A at 290 feet and B would be at 46 feet. The difference in elevation is 290-46 = 244 feet

Instead of reflecting, you can turn the page upside down and just ignore the negative signs, and then subtract like normal.

This trick only works if both elevations A and B are below sea level.

--------

Or you could subtract like so:

|A-B| = |-290-(-46)| = |-290+46| = |-244| = 244

The absolute value is used to ensure the result is not negative. A negative difference makes no sense. In this case, "difference" and "distance" mean the same thing more or less.

I need this math problem to be solved ASAP!!! Solve for X.
-8x + 3 ≥ 27 AND −13x + 5 ≥ 57
Choose ONE and ONLY the CORRECT answer.
A: x ≤ −4
B: x ≤ −3
C: −4 ≤ x ≤ −3
D: There are NO solutions.
E: All values of X are solutions.

Answers

Answer:

A: x ≤ −4

Step-by-step explanation:

Hi there!

We're given the two inequalities -8x + 3 ≥ 27 and  −13x + 5 ≥ 57

we need to find the set of solutions that make the two inequalities true (the intersection)

First, let's solve the two inequalities, starting with -8x + 3 ≥ 27

-8x + 3 ≥ 27

subtract 3 from both sides

-8x≥24

divide both sides by -8 and remember to FLIP the inequality sign, as we're dividing with a negative

x ≤ -3

now for the other inequality:

−13x + 5 ≥ 57

subtract 5 from both sides

-13x ≥ 52

divide both sides by -13 and remember to FLIP the sign

x ≤ -4

please see below for the graph to find the intersection, as well as the final answer

Hope this helps! :)

A shoreline observation post is located on a cliff such that the observer is 280 feet above sea level. The observer spots a ship approaching the shore and the ship is traveling at a constant speed.

Requried:
a. When the observer initially spots the ship, the angle of depression for the observer's vision is 6 degrees. At this point in time, how far is the ship from the shore?
b. After watching the ship for 43 seconds, the angle of depression for the observer's vision is 16 degrees. At this point in time, how far is the ship from the shore?

Answers

Using the slope concept, it is found that the distances from the shore at each moment are given by:

a) 2664 feet.

b) 976 feet.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

Item a:

The vertical distance is of 280 feet, with an angle of . The distance from the shore is the horizontal distance of x. Hence:

[tex]\tan{6^\circ} = \frac{280}{x}[/tex]

[tex]x = \frac{280}{\tan{6^\circ}}[/tex]

x = 2664.

Item b:

The vertical distance is of 280 feet, with an angle of 16º. The distance from the shore is the horizontal distance of x. Hence:

[tex]\tan{16^\circ} = \frac{280}{x}[/tex]

[tex]x = \frac{280}{\tan{16^\circ}}[/tex]

x = 976.

More can be learned about the slope concept at https://brainly.com/question/18090623

In ΔIJK, the measure of ∠K=90°, KJ = 65, IK = 72, and JI = 97. What is the value of the cosine of ∠J to the nearest hundredth?

Answers

Answer:

[tex]\cos(J) = 0.67[/tex]

Step-by-step explanation:

Given

[tex]\angle K = 90^o[/tex]

[tex]KJ = 65[/tex]

[tex]IK = 72[/tex]

[tex]JI = 97[/tex]

Required

[tex]\cos(J)[/tex]

The question is illustrated with the attached image.

From the image, we have:

[tex]\cos(J) = \frac{KJ}{JI}[/tex]

This gives:

[tex]\cos(J) = \frac{65}{97}[/tex]

[tex]\cos(J) = 0.67010309278[/tex]

[tex]\cos(J) = 0.67[/tex] --- approximated

The function y = sin 2 (x – π∕2) has a period of Question 2 options: A) 4π. B) π. C) 2π. D) π∕2.

Answers

Answer:

B) π

Step-by-step explanation:

y = sin 2 (x – π∕2)

y = sin (2x -π)

=> 2x = 2π

x = π

The period of function sin(2x−π) is π, which is correct option(B).

What is the period of the function?

The period of the function is defined as the interval between repetitions of any function. A trigonometric function's period is the length of one one completed cycle.

What is the Trigonometric functions?

The trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

Given the function as :

y = sin 2 (x – π/2)

y = sin (2x − π)

Use the form asin(bx−c) + d to determine the variables used to find the amplitude, period, phase shift, and vertical shift.

a = 1

b = 2

c = π

d = 0

Determine the period of sin(2x−π).

y = sin (2x -π)

So, the period = c = π

Hence, the period of function sin(2x−π) is π.

Learn more about  period of the function here:

https://brainly.com/question/26369761

#SPJ2

Is the triangle a right angle? Pythagorean Theorem.​

Answers

Answer:

yes it is

Step-by-step explanation:

hopefully that helps

195ft i think because 10 x 19.5

because 39 divided by 2 is 19.5

so then 19.5 x 10 = 195ft

i believe that it is

In 24.736, which digit is in the thousandths place?​

Answers

Answer:

6

Step-by-step explanation:

The third digit to the right of decimal point is in the thousandths place. The fourth digit to the right of decimal point is in the ten thousandths place and so on.

In the decimal number 24.736, the digit which is at the thousandth place will be 6.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We know that the number starts from the tenths after the decimal.

....123.456..

The expansion of the number is given as,

... + 100 + 20 + 3 + 0.4 + 0.05 + 0.006 + ......

The expansion is written in form of words. Then

Hundreds + Tens + Ones + Tenths + Hundredths, Thousandths, and so on.

In the decimal number 24.736, the digit which is at the thousandth place will be 6.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Write the point-slope form of the equation for a line that passes through (-1, 4) with a slope of 2.
The value of xt is
The value of yn is
The point-slope form of the equation is

Answers

Answer:

67 f

Step-by-step explanation:

What is the answer to this equation

Answers

Answer:

[tex]x = - \frac{494}{3}[/tex] [tex]= - 164\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]75 + \frac{3}{8} x = 13\frac{1}{4}\\\\75 + \frac{3}{8} x = \frac{53}{4}\\\\\frac{3}{8}x = \frac{53}{ 4} - 75\\\\\frac{3}{8}x = \frac{53-300}{4}\\\\\frac{3}{8}x = - \frac{247}{4}\\\\x = -\frac{247 \times 8}{4 \times 3} \\\\x = -\frac{494}{3}[/tex]

In triangle ABC, AC = 4, BC = 5, and 1 < AB < 9. Let D, E and F be the
midpoints of BC, CA, and AB, respectively. If AD and BE intersect at G
and point G is on CF, how long is AB?
A. 2
B. 3
C. 4
D. 5

Answers

the answer would be 4
The answer will be C.4

What is the slope of the linear relationship shown in this table of values?​

Answers

Answer: -2 (b)

Step-by-step explanation:

So the slope of the line is the amount that the line changes as it goes along the x or y axis. Think of it like a ramp- goes up or down, steep or flat.

Take a pair of points like (-4, 11) and (2, -1)

{But you can use other points in the chart too. }

-4 to 2 is a distance of 6 --> that is the x

11 to -1 is a distance of -12 --> that is the y

We want the change in y over (or divided by) change in x.

-12 / 6 = -2

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 11) and (x₂, y₂ ) = (2, - 1) ← 2 ordered pairs from the table

m = [tex]\frac{-1-11}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2 → B

The height of a triangle is 4 m more than twice the length of the base. The area of the triangle is 35 m^2 . Find the height of the triangle

Answers

Answer:

Step-by-step explanation:

Let the Base of the  △  be  x

Then the Height will be  2 x + 4

Area of △ = 1 2 b h

Where, b = b a s e , h = h e i g h t , A r e a = 35

(in this case)

Substitute the values into the equation → 35 = 1 2 ( 2 x + 4 ) ( x ) → 35 = ( 2 x + 4 ) 2 ( x ) →

35 = ( x + 2 ) ( x ) → 35 = x 2 + 2 x

Subtract  35  both sides

→ 0 = x ^2 + 2 x − 35

Rewrite the equation in the Standard form

x ^2 + 2 x − 35 = 0

Factor the equation

→ ( x + 7 ) ( x − 5 ) = 0

So we have  

x = − 7 , 5

numbers So  x = 5

They have asked us to find the Height

So, ⇒ H e i g h t = 2 x + 4 = 2

Which of the following describes the end behavior of the function ƒ(x) = –5x3 + 3x2 + x – 9?

A)

As x → –∞, y → +∞ and as x → +∞, y → –∞

B)

As x → –∞, y → –∞ and as x → +∞, y → +∞

C)

As x → –∞, y → –∞ and as x → +∞, y → –∞

D)

As x → –∞, y → +∞ and as x → +∞, y → +∞

Answers

Answer:

A

Step-by-step explanation:

f(x)=-5x³+3x²+x-9

leading coefficient is negative and it is of odd degree.

so it starts from above onthe left  and ends at the bottom ont he right.

The in center is the center of the circle of a triangle

1) circumscribed
2) centralized
3) cocentric
4) inscribed

Answers

Answer:

inscribed

Step-by-step explanation:

For any given triangle, the circle inside of it is called the Inscribed circle

Other Questions
By the distributive law, 49 * 17 + 49 * 3 = Transaction Analysis and Financial Statements, Including Dividends(Alternates are 2-47, 2-48, 2-50, and 2-52.) Consider the following balance sheet of a wholesalerof childrens toys:Gecko Toy CompanyBalance Sheet, December 31, 20X0Assets Liabilities and Stockholders EquityLiabilitiesCash $ 400,000 Accounts payable $ 800,000Accounts receivable 400,000 Stockholders equityMerchandise inventory 860,000 Paid-in capital $360,000Prepaid rent 45,000 Retained earnings 645,000Equipment 100,000 Total stockholders equity 1,005,000Total $1,805,000 Total $1,805,000The following is a summary of transactions that occurred during 20X1:a. Acquisitions of inventory on open account, $1 million.b. Sales on open account, $1.5 million; and for cash, $200,000. Therefore, total sales were$1.7 million.c. Merchandise carried in inventory at a cost of $1.3 million was sold as described in b.d. The warehouse 12-month lease expired on October 1, 20X1. However, the company immediatelyrenewed the lease at a rate of $84,000 for the next 12-month period. The entire rent waspaid in cash in advance.e. Depreciation expense for 20X1 for the warehouse equipment was $20,000.f. Collections on accounts receivable, $1.25 million.g. Wages for 20X1 were paid in full in cash, $200,000.h. Miscellaneous expenses for 20X1 were paid in full in cash, $70,000.i. Payments on accounts payable, $900,000.j. Cash dividends for 20X1 were declared and paid in full in December, $100,000.Required1. Prepare an analysis of transactions, employing the balance sheet equation approach demonstratedin Exhibit 2-3 (p. 49 ) . Show the amounts in thousands of dollars.2. Prepare an ending balance sheet, a statement of income, and the retained earnings column ofthe statement of stockholders equity for 20X1.3. Reconsider transaction j. Suppose the dividends were declared on December 15, 20X1,payable on January 31, 20X2, to shareholders of record on January 20. Indicate whichaccounts and financial statements in requirement 2 would be changed and by how much. Becomplete and specific. When determining the human resources needs for a well-known engineering firm, the HR director realized that the company lacked a critical mass of engineers under the age of 30. The company could not afford to get caught short in this competitive business climate. An important recruitment strategy for the HR director's department was to start attending college fairs as well as considering hiring interns. We define his recruitment efforts as developing relationships with A) external sources B) median sources C) internal sources D) civilian sources Hiii you can help me pliss How did Chinese communism differ from Soviet communism ? On July 15, Piper Co. sold $16,000 of merchandise (costing $8,000) for cash. The sales tax rate is 4%. On August 1, Piper sent the sales tax collected from the sale to the government. Record entries for the July 15 and August 1 transactions. On November 3, the Milwaukee Bucks sold a six game pack of advance tickets for $480 cash. On November 20, the Bucks played the first game of the six game pack (this represented one-sixth of the advance ticket sales). Record the entries for the November 3 and November 20 transactions.Required:Record the entry for cash sales and its sales taxes. Will Give Brainlist Check pic for question the length of a rectangle is 5 less than twice the width. if the perimeter of the rectangle is 14 centimeters, find the dimensions of the rectangle Time sensitive!!Which of the following sentences does not have a nominative absolute?Hint: The nominative absolute can be positioned either at the beginning or end of the main clause.Since water was plentiful, the lawns were green all summer. Water being plentiful, the lawns were green all summer.The hurricane season being over, people returned to the cottages on the beach. help meee it's pythagorean theorem, just need answers plsssssss Paul rides his bike for 2 hours at a constant rate of 20 mph. He then bikes for 3 hours at a constant rate of 25 mph. How far did Paul travel in the 5 hours? A. 15 mi. B. 52 mi. C. 115 mi. D. 165 mi. do you think being humorous is always right in every situation In the 1800s, the term "Native American" was used to describe:A. Runaway slaves who lived among tribes.B. White Catholics.C. White Protestants.D. Immigrants who lived among tribes. As apart of her physical fitness training, Kaylee cycled at 30km/h and then jogged at 8 km/h. She spent 2 hours working out and covered a distance of 49 km. How long did Kaylee spend at each activity? To test for protein, you added Biuret solution and observed color changes. Suppose that the color data below was observed.A 3-column table has 1 rows. The first column is labeled Gelatin (+ control) with entry pink/purple. The second column is labeled Water (negative control) with entry pink/purple. The third column is labeled Mystery food sample with entry blue.The data above indicate an error. How do you know? What might have caused the error? HELP PLEASECombine the following sentences to make a simple sentence. a) He stood beside the road. He saw a boy. The boy was very little. He was crying forhis mother.b) The man went to a bank. He wanted to open a bank account. He wanted to savesome money. The theoretical probability of selecting a consonant at random from a list of letters in the alphabet is 21/26. Wayne opens a book, randomly selects a letter on the page and records the letter. He repeats the experiment 200 times. He finds p(consonant) = 60%. How does the theoretical probability differ from the experimental probability? What are some possible sources for this discrepancy. I will mark brainlest Which force pulls earth and the sun toward each other? When a spaceship full of scientists landed on Planet Q, they found that 3/8 of the 160 aliens had 3 eyes. The rest of the aliens had 5 eyes. How many eyes total do the 160 aliens have? How does the author use structure to create tension in the excerpt for A Christmas Carol by Charles Dickens.