There are chocolates in a box, all identically shaped. There are 8 filled with nuts, 16 with caramel, and 14 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting 2 solid chocolates in a row.

Answers

Answer 1

Answer:

P = [tex]\frac{91}{703}[/tex] ≅ 12.95%.

Step-by-step explanation:

The total amount of chocolates in the box is 8 + 16 + 14 = 38, 14 of which are solid.

Let's calculate the probability of getting a solid chocolate in the first selection:

[tex]P(1S) = \frac{14}{38} = \frac{7}{19}.[/tex]

Given that the first piece was solid, there are now 37 pieces of chocolate in the box, 13 of which are solid. Let's now calculate the probability of selecting another solid chocolate:

[tex]P(2S\,|\,1S) = \frac{13}{37}.[/tex]

Thus, the probability of selecting two solid chocolates in a row is the product of the two probabilities calculated above:

[tex]P = \frac{7}{19}\,.\,\frac{13}{37} = \frac{91}{703}.[/tex]


Related Questions

there 56 people invited to marks family reunion. each table at the park where the reunion is held can hold 7 people

Answers

If there is 56 people at the reunion and each table holds 7 people, you need 8 tables to be enough for everyone

8 tables for everyone at the park

GIVING BRAINLIEST TO THE FIRST PERSON WHO CAN SOLVE THESE QUESTIONS. :)

Answers

Answer:

1) y = 2(x+3)^2 -4

2) x+6/x-4

3) 2x^2 + 6x +20 = 0

Step-by-step explanation:

Help me with this question please!! :)

Answers

Answer:

60 ways

Step-by-step explanation:

 combination C 4 and 6= (6*5*4*3)/1*2*3=360/6=60 ways

Longhorn Corporation provides low-cost food delivery services to senior citizens. At the end of the year on December 31, 2021, the company reports the following amounts:


Cash $ 1,300 Service revenue $ 65,700
Equipment 27,000 Cost of goods sold (food expense) 53,000
Accounts payable 4,000 Buildings 36,000
Delivery expense 2,200 Supplies 3,000
Salaries expense 5,100 Salaries payable 900

In addition, the company had common stock of $36,000 at the beginning of the year and issued an additional $3,600 during the year. The company also had retained earnings of $17,400 at the beginning of the year.


Prepare the statement of stockholders’ equity for Longhorn Corporation.

Answers

The statement of stockholders’ equity for Longhorn Corporation is: $62,800

                                                           

Statement of stockholders’ equity

                        Common stock   Retained earning Total stakeholder equity

Beginning balance           $36,000    $17,400        $53,400              

Issuance of common stock  $4,000        -                $4,000

Add net income                          -        $5,400            $5,400

[65,700-(53,000+2,200+5,100)]

Ending balance                      $40,000    $22,800      $62,800

Therefore the statement of stockholders’ equity for Longhorn Corporation is: $62,800.

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I was able to get the first two parts and now I am stumped.

Answers

The correct response that would be expected based on the probability information is 164

How to depict the values?

From the information, there were 352 trials that were made and we're correct 164 times.

Therefore, the correct response that would be expected is 164.

The success rate will be:

= 164/352

= 0.466

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Longhorn Corporation provides low-cost food delivery services to senior citizens. At the end of the year on December 31, 2021, the company reports the following amounts:


Cash $ 1,300 Service revenue $ 65,700
Equipment 27,000 Cost of goods sold (food expense) 53,000
Accounts payable 4,000 Buildings 36,000
Delivery expense 2,200 Supplies 3,000
Salaries expense 5,100 Salaries payable 900

In addition, the company had common stock of $36,000 at the beginning of the year and issued an additional $3,600 during the year. The company also had retained earnings of $17,400 at the beginning of the year.

Required:
Prepare the income statement for Longhorn Corporation.

Answers

The preparation of the income statement for Longhorn Corporation for the year ended December 31, 2021, is as follows:

Longhorn Corporation

Income Statement

For the year ended December 31, 2021

Service revenue                             $ 65,700

Cost of goods sold (food expense) 53,000

Gross profit                                      $12,700

Delivery expense     $2,200

Salaries expense        5,100            $7,300

Net Income                                     $5,400

What is the income statement?

The income statement also called income summary is a financial statement that shows the financial performance of a business for a defined financial period.

Thus, from the income statement, the net income and the gross profit, which represent the gains achieved by the entity, are derived.

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Can you help me I need to send this to my teacher like TODAY

Answers

Coordinates when you see t

A: Three collinear points are A, T, and B

B: Line BA is another name for line AB

C: Line L is in plane Z

D: line AB is the intersection of planes Z and W

(2x-1)²+8√2xy=4
4y-√8xy-1=1​

Answers

Answer:

Step-by-step explanation:

(2x-1)²+8√2xy=4

4y-√8xy-1=1

4y-2√2 x=2

multiply by 4

16y-8√2xy=8

add to first eq.

(2x-1)²+16y=12

or

16y=-(2x+1)²+12

which gives us a downward parabola.

Write the equation of a sine or cosine function to describe the graph.

Answers

Step-by-step explanation:

The equation of a trigonometric function is

[tex]y = a \sin(bx + c) + d[/tex]

or

[tex]y = a \: cos(bx + c) + d[/tex]

Let define some variables,

D is the midline, this refers to the midpoint of the highest y value and lowest y value. Some textbooks call it the vertical translations but it is the same thing.

A is the amplitude. The amplitude is the distance from the midline to the highest y value. Some distance is non negative, the formula for the amplitude is

[tex] |a| [/tex]

The period is how often the wave repeats itself on a interval.

Period can't be negative so the formula for period is

[tex] \frac{2 \pi}{ |b| } [/tex]

To find the period, look at the extreme points.

The phase shift tells us if the sinusoid have been shifted to the right or left. The formula for the phase shift

[tex]bx + c = 0[/tex]

Solving for x gives us

[tex]x = \frac{ - c}{b} [/tex]

If our x is negative, we have a phase shift to the right

If our x is Positve, we have a phase shift to the left.

Let solve this equation, Let use Sine since sin(0)=0,

The smallest y value here is 0, and the highest is 2, so the amplitude is 1.

[tex]d = 1[/tex]

Next, the distance from the max to the midline is 1, as well the min to the midline is also 1.

So

[tex]a = 1[/tex]

We have minimum at 0, and 8, so our period is 8.

[tex] \frac{2\pi}{b} = 8[/tex]

Solve for b,

[tex] \frac{\pi}{4} = b[/tex]

Plug this in the equation.

[tex]1 \sin( \frac{\pi}{4} x) + [/tex]

[tex]y = \sin( \frac{\pi}{4} x) + 1[/tex]

The graph passes through (4,2) so let see if that holds true for our equation

[tex]2 = \sin( \frac{\pi}{4} (4)) + 1[/tex]

[tex]2 = \sin(\pi) + 1[/tex]

[tex]2 = 0 + 1[/tex]

[tex]2 = 1[/tex]

This doesn't hold true, so we must have a phase shift

Notice that

[tex] \sin( \frac{\pi}{2} ) = 1[/tex]

So if we shift this pi/2 to the right, we can get our equation to be true.

[tex]y = \sin( \frac{\pi}{4} x - \frac{\pi}{2} ) + 1[/tex]

This equation works so our equation is

[tex]y = \sin( \frac{\pi}{4} x - \frac{\pi}{2} ) + 1[/tex]

a rectangle is a parallelogram with 4 equal sides true or false

Answers

Answer:

False

Step-by-step explanation:

A rectangle does not have 4 equal sides, it has 2 sets of equal sides.

False a rectangle just 4 sides

Assuming you are a business owner with different shareholders. How may zero growth stock valuation and constant stock valuation affect your business operations?

Answers

The ways that zero growth stock valuation can affect business operations is that:

When zero-growth model states that the dividend is at the same rate, it shows that one has no measure of growth in terms of dividends. This therefore  shows that stock price is equal to the annual dividends and divided also by the needed  rate of return.

What ways does constant stock valuation affect business operations?

The Constant  stock valuation  is known to be a kind of share evaluation as it states that the dividends paid by a firm will consistently increase at a constant growth rate.

This will help one to know especially investors on how to set or know the fair price that one needs to pay for a stock on daily basis today by due to future dividend payments.

The overall statement is that  stock value affect one's business operations as  the company's stock price is one that shows an investor perception of their capability to get profit and also if they can grow their profits in terms of future times.

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yoo if you passed algebra one help me with these questions please should be pretty easy u dont have to explain or anything.

1) Find the domain of the function f ( x ) = 3 ( 3 ) x - 1
options: a. ( 0, ∞ ) b. ( − ∞, ∞ ) c. ( − ∞, 0 ) d. ( 0, 10 )

2) What is the range of the function f ( x ) = 2 x.
options: a.( 0, ∞ )b.( − ∞, 0 )c.( − ∞, ∞ )d.( − ∞, 1 ]

3) What is the range of the function f ( x ) = 2 x.
options: a. ( 0, ∞ ) b. ( − ∞, 0 ) c. ( − ∞, ∞ ) d. ( − ∞, 1 ]

4) What is the domain of the function f ( x ) = 2 x.
options: a. ( 0, ∞ ) b. ( − ∞, 0 ] c. ( − ∞, 0 ) d. ( − ∞, ∞ )

5) What is the range of the function f ( x ) = 2 x − 2.
options: a. [ 1, 5 ] b. ( − ∞, 0 ) c. ( − ∞, ∞ ) d. ( 0, ∞ )

6) What is the domain of the function f ( x ) = -2 x
options: a. ( − ∞, 0 ) b. [ − 1, 5 ] c. ( − ∞, ∞ ) d. ( 0, ∞ )

7) Find the range of the function f ( x ) = -.5 ( 3 ) x-1
options: a. ( 1, ∞ ) b. ( − ∞, 0) c. ( − ∞, ∞ ) d. ( − ∞, -1 )

thanks :)

Answers

See below for the domain and the range of the functions.

How to determine the domain and the range?

As a general rule, all linear functions have a domain and a range of all set of real numbers i.e.  (−∞, ∞)

The functions (2), (3), (4), (5) and (6) are linear functions.

So, their domain and range are  (−∞,∞)

For function (1), we have:

f(x) = 3(3)^x - 1

The above is an exponential function.

The domain of an exponential function is all set of real numbers i.e.  (−∞, ∞)

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4x=-3y+12 I don't know the answer to this please help.

Answers

Answer: y = -4x/3 + 4

Step-by-step explanation:

Assuming you want to solve for y:

4x = -3y + 12

-4x/3 = y - 4

y = -4x/3 + 4

65 people took a clarinet exam. Before the exam, 23 people predicted that they would pass, and the rest predicted they would fail. Of the people who predicted they would pass, 18 actually did. In total, 31 people passed the clarinet exam. What fraction of those who thought that they would fail actually did fail?​

Answers

Answer:

The answer is 29/42

Step-by-step explanation:

First, let's calculate how many people predicted they would fail. The question states that 65 people took the exam and 23 predicted they would pass, so we can find the number of people that predicted they would fail by the following calculation:

Let FP be the people who predicted they'd fail

65 = 23 + FP

65 - 23 = FP

42 = FP

Now, let's move on to the next part. The question states that a total of 31 people passed the test, from those 18 being the people who predicted they would pass and the rest are people who had predicted they would fail but ended up passing.

Let's set x as the number of people who predicted they would fail but have passed.

31 = 18 + x

31 - 18 = x

13 = x

Since 13 of the 42 FP have passed, we can calculate how many of them failed. Let y be the number of people that predicted to fail and ended up failing:

13 + y = 42

y = 42 - 13

y = 29

Finally, now we have the fraction of those who predicted that they would fail actually did fail and that's 29/42

The five evidence-based recommendations addressed in the practice guide include all of the following except:
A. Teach math using a developmental progression and monitor progress to ensure math instruction builds on what each child knows.
B. Teach children to view and describe their world mathematical and integrate math instruction throughout the school day.
C. Make sure you have strong curriculum so that all the math skills are addressed.

Answers

Answer:

I would say b since this defintally usally you aren't expeced to use math ouside of math class at school

Hope This Helps!!!

Answer:

The correct answer is C.

Step-by-step explanation:

How much interest will Brian earn on $875 in his savings account after 3 months if the annual interest rate is 5.5%?

Answers

The interest that Brain would receive is $12.03.

How much interest would Brain receive?

The interest received is a function of the amount saved, interest time and the length of time the money was saved.

Interest = amount saved x number of months x (annual interest rate / 12)

$875 x 3 x (0.055 / 12) = $12.03

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Which rule describes the composition of transformations that maps figure PQRS to figure P"Q'R"S"?

Answers

The transformation is R₁R_Q ₁₈₀° option second is correct if the quadrilateral PQRS transformed into P"Q'R"S"

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a quadrilateral PQRS shown in the picture.

From the transformation:

The image of Q(x, y) = Q'(-x, -y) will be the highest and leftmost point following the rotation since Point S is the lowest and farthest point to the right of Point Q.

The same applies to points P P' and R R'.

Thus, the transformation is R₁R_Q ₁₈₀° option second is correct.

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Answer:

Option B is the correct answer

Please help with these 2 questions. I got 73.0 for question 12

Answers

The height of the tower based on the angle of elevation given is

How to calculate the height?

From the information given, the tower is 45m, the clinometer is set at 1.3m above the ground, and the angle of elevation is 32°.

This can be illustrated as:

tan 32° = (45 - 1.3)/x

tan 32° = 43.7/x

x = 43.7/tan 32°

x = 69.93m.

Also, for triangle ACD,

tan 47° = (43.7 + y)/x

x × tan 47° = 43.7 + y

74.49 = 43.7 + y

y = 31.29

The height of the tower will be:

= 43.7 + 31.29

= 74.99m

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I need help with my homework

Answers

The required points of x where the slope of tangent and secant is equal at boundary points 4 and 9.

What is slope?

Slope is defined as the rate of change or angle at which curve is having inclination or declination.

Since, the curve of 1/2√x defined for interval [4,9]
The curve is of increasing order so the tangent and secant having equal slope only possible at the boundaries of the curve.

Boundary conditions = (4,1) and (9, 1.5)


Equation can be given as,
y = 0.1x + 0.5

Thus, the  required points of x where the slope of tangent and secant is equal at boundary points 4 and 9.

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The graph of f(x)=x2 is shown. Use the parabola tool to graph the function g(x)=(15x)2 . To graph a parabola, first plot the vertex then plot another point on the parabola

Answers

The graph of the parabola can be seen in the image below.

How to plot the parabola?

Here we have the function:

g(x) = (15x)^2

Notice that this is a contraction of scale factor 15 of the function f(x) = x^2

To graph this, we can just evaluate the function in 3 points, the vertex and two other ones.

for x = 0.

g(0) = (15*0)^2 = 0

So we have the point (0, 0).

Evaluating in x = 1 and x = -1 (give the same value) we get:

g(±1) = (±15)^2 = 225

So we have the points (1, 225) and (-1, 225).

Now we can just connect these 3 points with a parabola. The graph can be seen below.

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please can you hurry

What is the truth value for the following conditional statement?


p: true


q: false


p → q

ANSWERS

T F → T

F F → T

T F → F

F T → T

Answers

In the case above,  the truth value for the following conditional statement is  Option B: F F → T.

What is the conditional statement about?

The truth value that was given in the statements are:

p : trueq : true

So one can write that the truth values of :

p : false

q : false

Then, one need to find the truth value of (p → q)

Note that when as it is written, it means or implies that the truth value of any two statements is false.

If P is true and Q is false then one can say that in every condition, the truth value holds true. So we can then say that p → q: True

In the case above,  the truth value for the following conditional statement is  Option B: F F → T

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2. A point A (x, y) is translated 10 units to the right and 3 units down. What is the mapping to the new point A'?

Answers

Answer:

(x+10,y-3)

Step-by-step explanation:

Cedric applied the rule to figure WXYZ.

Figure W X Y Z is reflected across the line of reflection m to form W prime X prime Y prime Z prime. Figure W prime X prime Y prime Z prime is rotated 180 degrees about point P to form W double-prime X double-prime Y double-prime Z double-prime.
What mistakes did he make? Select two options.

He applied the reflection to the pre-image first.
He applied the rotation to the pre-image first.
He changed the size of the figure instead of just applying a rotation.
He used point P as the center of rotation.
He used an incorrect angle of rotation around point P

Answers

The mistakes that were made regarding the transformation are:

He applied the reflection to the pre-image first.He used an incorrect angle of rotation around point P

How to illustrate the information?

It should be noted that a transformation simply means the changing of the position of an object

In this case, the transformation is incorrect as he applied the reflection to the pre-image first and used an incorrect angle of rotation around point P.

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Evaluate.
—4 1/2+3(6.4+3/4)

Answers

The answer is 16 19/20, or 16.95 in decimal form. The improper fraction is 339/20

Answer:

16.95

Step-by-step explanation:

use a calculator

please help me i don’t get it will send extra points

Answers

The value is 1/2

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts.

Given:

(5 +(2-1.5)/1*(2))/12

=(5+ 0.5*2)/12

=(5+1)/12

=6/12

=1/2

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If 10 inches on a map represents an actual distance of 100 feet, then what
actual distance does 25 inches on the map represent?

Answers

According to the given conditions, state:

10 × 100 = 25 ÷ x

If the fraction is defined, then the denominator cannot equal 0:

x≠0

Attach the inequality as the domain: x≠0

Reduce the fraction to the smallest term, canceling the greatest common factor: 1/10 = 25/x.

Multiply both sides of the equation by the common denominator:

10x/10 = 25 × 10x / x

Simplify the fractions: x = 250

Find the intersection: x = 250

get the result: x = 250

Answer: x = 250

the actual distance would be 250 feet.

{ Pisces04 }

length
AT=5,
3 In right triangle ABC shown below, point D is on
AB and point E is on CB such that AC || DE.
C
D
E
B
If AB= 15, BC = 12, and EC = 7, what is the
length of BD?
1) 8.75
2) 6.25
3) 5
4) 4
id or create
k as done
nments
Assi
to Susan Guha

Answers

Answer:

6.25

Step-by-step explanation:

BE = BC - EC = 12 - 7 = 5

BE/BC = BD/AB

5/12 = BD/15

BD = 15(5/12) = 6.25

Content attribution
QUESTION 5
.
1 POINT
Find the mode(s) of

1, 8, 6, 2, 5, 5, 3, 6, 6, 2, 7,2

Answers

Answer:

6

Step-by-step explanation:

The mode of a data set, is the value that occurs the most often. There can be multiple modes, if two values have the same amount of frequency in a data set as well as having the highest frequency. So in this case case it appears there is only 1 mode with that being 6, since it appears 3 times.  with no other value appearing this much in the data set.

^
The graph below shows the graphs of the linear function = 7x and the exponential function y =
Which statement is true?
HURRY TIMED

Answers

Answer:

its D

Step-by-step explanation:

Consider the problem: Jasmine wants to buy a brand new pair of headphones that cost $99. While she already has $40 saved up, she is planning on working at a local grocery store for $8 an hour to make up the extra cash. Which of the following inequalities will help her determine values of h, the number of hours that Jasmine can work so she can afford the new headphones?

Answers

The number of hours that Jasmine can work so she can afford the new headphones x = 6 weeks.

let x represent the number of weeks it will take to save enough money.

If she saves $11 each week, then in x weeks she will save  11x dollars.

Add this to the 107 she has already saved, and at the end of 11 weeks she will have

  11x + 107 dollars.

We want the amount saved to be equal to the price of the bike, so our equation is

11x + 107 = 173

In a word problem, writing the equation is usually the hardest part. Now we solve the equation.

Subtract 107 from both sides to get

11x = 66

Divide both sides by 11 to get

x = 6 weeks.

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Use numerals instead of words.Functions f and g are represented in the table and the graph. Which of the following is an example of a positive feedback mechanism? A. Body temperature is increased if skeletal muscles move quickly and cause a person to shiver. B. During childbirth, the baby's head pushing on the cervix encourages uterine contractions. C. The kidneys retain more water if the organism's water level is low. D. Insulin causes cells to absorb glucose. A uniform rod with a mass of m = 1.94 kg and a length of l = 2.10 m is attached to a horizontal surface with a hi=nge. The rod can rotate around the hi=nge without friction. (See figure.)Initially the rod is held at rest at an angle of = 70.4 with respect to the horizontal surface. Then the rod is released.What is the angular speed of the rod, when it lands on the horizontal surface?1.61 rad/s is incorrect.What is the angular acceleration of the rod, just before it touches the horizontal surface?1.06 rad/s^2 is incorrect. Write an equation in slope intercept form for the line with slope -1/2 and y-intercept -5 The country with the least number of casualties was A. Austria-HungaryB. GermanyC. the Ottoman EmpireThe country with the highest casualty rate was A. GermanyB. Austria-HungaryC. the Ottoman Empire What does Antony say in this excerpt from Shakespeares Julius Caesar to portray himself as a patriot?ANTONYThe noble Brutus Hath told you Caesar was ambitious:If it were so, it was a grievous fault,And grievously hath Caesar answer'd it.Here, under leave of Brutus and the rest--For Brutus is an honourable man;So are they all, all honourable men--Come I to speak in Caesar's funeral.He was my friend, faithful and just to me:But Brutus says he was ambitious;And Brutus is an honourable man.He hath brought many captives home to RomeWhose ransoms did the general coffers fill:Did this in Caesar seem ambitious?When that the poor have cried, Caesar hath wept:Ambition should be made of sterner stuff:Yet Brutus says he was ambitious;And Brutus is an honourable man.You all did see that on the LupercalI thrice presented him a kingly crown,Which he did thrice refuse: was this ambition? (3.2.87-100)Group of answer choicesAntony insults Brutus and explains how Brutus is actually the evil one.Antony points out that Caesar cant be ambitious if he wept with the poor and turned down the crown three times.Antony insists that Brutus was much more immoral than Caesar ever was.Antony shows all of Caesars stab wounds in this speech, which spurs the Plebians to mutiny. PLEASE HELP!!!!!!!!!!!!!! Two different cubes of the same size are to be painted, with the color of each face being chosen independently and at random to be either black or white. What is the probability that after they are painted, the cubes can be rotated to be identical in appearance Summary of which way?