Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.

If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer 1

Answer:

  0.2601

Step-by-step explanation:

There are 19C16 = 969 ways for Lester to choose 16 of the 19 objects.

There are 12C11 = 12 ways to choose 11 vases, and 7C5 = 21 ways to choose a non-vase, for a total of (12)(21) = 252 ways to choose exactly 11 vases in 16 objects.

So, the probability of interest is ...

  252/969 ≈ 0.2601

_____

nCk = n!/(k!(n-k)!) ... the number of ways to choose k objects from n


Related Questions

NO ONE HELPED ME WITH MY LAST QUESTION PLS HELP WITH THISSSS, I DONT WANNA GET A BAD GRADE AND I HAVE 2 MINUTES LEFTT!!

Answers

Answer:

Step 2.

-11/12 > -1.5

1.6 > 5/4

1 < 5/4

Step-by-step explanation:

Eval should have swapped the numerator and denominator of 4/9 when she replaced division by multiplication.

Please help! Correct answer only, please!

Given matrix A and B both have dimensions 2 x 2 and are the inverse of one another what should be the following product?




A · B



A.



B.



C.



D.

Answers

Answer:

B)

Step-by-step explanation:

If two square matrix, with same dimensions, are inverse of one another, their product will always be the identity matrix with the same dimensions.

The matrix A and B are 2x2, so the result of the product A * B is a 2x2 identity matrix, that is represented as follows:

I = [1 0 ; 0 1]

(First line: 1 0, second line: 0 1)

So the correct option is B)

anyone can help me figure this out ?

Answers

Answer:

The inverse is 1/4x

Step-by-step explanation:

f(x) = 4x

y = 4x

Exchange x and y

x = 4y

Solve for y

Divide each side by 4

1/4x = 4y/4

1/4x = y

The inverse is 1/4x

Answer:

y=(1/4)*x

Step-by-step explanation:

to inverse set f(x)=4x

as y=4x

next, change places y and x

4y=x

now, solve for y

4y=x

y=(1/4)*x

Based on an architectural drawing, a roof slopes to a drain
along the function represented in the table that defines the
edge of slope, where x is the horizontal distance in feet and
f(x) is the vertical distance in feet.
If the drain is at the minimum point, how far is it from the wall
defined by the y-axis?
0 feet
8 feet
80 feet
160 feet

Answers

Answer:

  80 feet

Step-by-step explanation:

The smallest value of f(x) in the table is f(x) = 0. It occurs where x = 80.

Since x is the horizontal distance in feet from the wall, the minimum point (drain) is 80 feet from the wall.

Answer:

c

Step-by-step explanation:

edge2020

Convert the fraction

103

7497

to an equivalent percentage.

Report your answer accurate to one decimal place.

Answers

Answer:

1.4

Step-by-step explanation:

We need to convert 103/7497 into a percentage.

All we have to do is multiply the fraction by 100:

103/7497 * 100 = 1.37

To one decimal place, the equivalent fraction is 1.4

Jasmine is traveling at 45 miles per hour. At that same rate, how long will it take her to travel 135 miles?

1. 1/3 hours
2. 3 hours
3. 3.5 hours
4. 5 hours

Answers

Answer:the answer is 2 it will take jasmine 3hrs to travel 135 miles

Step-by-step explanation:

Carolyn is searching online for tickets to a concert. Two weeks ago, the cost was $50. Now the cost is $59. What is the percent increase

Answers

Answer: 18%

Step-by-step explanation: Percentage of 9 in 50=

9/50 × 100= 0.18×100= 18%

PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)

(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)

Which function is graphed on the right? y = 2x+3 – 2 y = 2x–3 + 2 y = 2x–2 + 3 y = 2x–2 – 3

Answers

Answer:

y=2x-2-3

Step-by-step explanation:

First you will need graphing paper. Go ahead and locate the y intercept on each of these equations. Then locate the slope. (y=mx+b). If the slope is positive count the amount of blocks up the slope's value is. And if negative count down. Then count to the right depending on the denominator. (2/1) You will make a triangle draw the line on the hypotenuse of the triangle. Then you have the line. You can also just use desmos.

The equation of the graphed function is [tex]y = 2^{x-2} + 3[/tex]

What are functions?

Functions are used to represent equation, graphs and tables

The parent function of the graph is an exponential function represented by

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

First, the function is shifted 2 units right.

So, we have:

[tex]y = 2^{x - 2}[/tex]

Next, the function is shifted 3 units up.

This is represented as:

[tex]y = 2^{x - 2} + 3[/tex]

Hence, the equation of the graphed function is [tex]y = 2^{x-2} + 3[/tex]

Read more about exponential functions at:

https://brainly.com/question/11464095

Solve the proportion 4/x=8/(x-3)

Answers

Answer:

x=-3

Step-by-step explanation:

4/x=8/(x-3)

We can solve this using cross products

4 ( x-3) = 8x

Distribute

4x -12 = 8x

Subtract 4x from each side

4x-4x-12 = 8x-12-4x

-12 =4x

Divide each side by 4

-12/4 = 4x/4

-3 =x

Answer:

X=-3

Step-by-step explanation:

Solve it like any other two step equation.

But first we have to have x on its own to get what the x value is

I dont understand B and C in this question so there are a deck of cards 1-10 i already got A right but B and C i dont understand
B: what is the probability of choosing a card that has a digit 1 on it
C: what is the probability that does not have a digit 1 on it? give both answers as a fraction here are the numbers to help
1 2 3 4 5 6 7 8 9 10

Answers

Answer:

see below

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10  = 10 cards

9 of them have 1 digit on them  ( 10 has 2 digits)

P( 1 digit) = number with 1 digit) / total = 9/10

P(  not have 1 digit)= number not  with 1 digit) / total = 1/10

Eduardo had 18 candies. 2/3 of the candies were butterscotch discs. How many were butterscotch discs?

Answers

Answer:

is 12

Step-by-step explanation:

2/3=18

18:3= 6

6 x 2=12

[tex]answer \\12 \\ solution \\ \\ \frac{2}{3} \times 18 \\ = 12 \\ \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

HELPPPPP
What are the coordinates of the hole in the graph of the function?

f(x)=x^2−3x−10/x−5
Enter your answer in the boxes.

Answers

Answer: If the function is: f(x) = (x^2−3x−10)/(x−5) The function has no holes.

If the function is f(x) = x^2−3x−10/x−5 then the hole is at x = 0 (the left side goes up, and the right side goes down, as the numerator is a negative number)

Step-by-step explanation:

I am not shure of what is the function, as you used no parentheses in it, so i will solve it for two different functions:

We have the function:

f(x) = (x^2−3x−10)/(x−5)

We want to find the "hole", this means that we want to find the value of x where the denominator is equal to zero.

If you look at the function, is easy to think that in x = 5 the denominator will be equal to zero, but we need to prove it.

First, we need to see if the numerator part is also zero when x = 5.

so

5^2 - 3*x - 10 = 25 -15 - 10 = 0

Ok, let's find the other root of the quadratic function:

x^2 - 3*x - 10 = (x - 5)*(x - b) = x^2 - (b + 5)*x + (b*5)

then we have: (b + 5) = 3 and b*5 = -10

then b = -2, this means that we can write the numerator part as:

x^2 - 3*x - 10 = (x - 5)*(x + 2)

then our function is:

f(x) =   (x - 5)*(x + 2)/(x - 5) = x + 2

This function has no holes.

Now, if the function actually is:

f(x) = x^2−3x−10/x−5

Then we have an x on the denominator of the third term of the equation, this denominator is 0 only when x = 0

In the given figure, values of x and y, are 1. 40°, 25° 2. 30°, 40° 3. 30°, 20° 4. 40°, 35°

Answers

Answer:

1. 40°, 25°

Step-by-step explanation:

The sum of opposite angles of a quadrilateral inscribed in a circle is 180°.

2x + 4 + 4y - 4 = 180

x+ 10 + 5y + 5 = 180

2x + 4y = 180

x +5y + 15 = 180

x + 2y = 90

x + 5y = 165

x = 90 - 2y

x = 165 - 5y

90 - 2y = 165 - 5y

5y - 2y = 165 - 90

3y = 75

y = 25

x = 90- 2y = 90 - 2*25 = 40

x= 40, y = 25

4. Al restar 5 x ᶺ 2 – 8 x + 9 con – 9 + 16 x – 25 x ᶺ 2 se obtiene como resultado (Procedimiento)

Answers

Step-by-step explanation:

SE RESTAN ENTRE LOS NÚMEROS QUE TIENEN LA MISMA VARIAVLE.

[tex](5x^{2} + 25x^{2})[/tex] - (8x - 16x) + (9 + 9) = [tex]30x^{2}[/tex] - 24x + 18

Triangle P Q R is shown. Angle R P Q is 99 degrees and angle P Q R is 31 degrees. The length of Q R is 11. Determine the measures of all unknown angles and side lengths of ΔPQR. Round side lengths to the nearest hundredth.

Answers

Answer:

[tex]\angle PRQ = 50^\circ[/tex]

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

[tex]\angle RPQ =99^\circ[/tex]

[tex]\angle PQR =31^\circ\\\text{Side QR} = 11\ units[/tex]

To find:

[tex]\angle PRQ =?\\Side\ PR = ?\\Side\ PQ = ?[/tex]

We know that the sum of all the angles of a triangle is equal to [tex]180^\circ[/tex]

i.e.

[tex]\angle PQR +\angle PRQ +\angle RPQ =180^\circ\\\Rightarrow 31^\circ +\angle PRQ +99^\circ =180^\circ\\\Rightarrow \angle PRQ = 180-130\\\Rightarrow \angle PRQ = 50^\circ[/tex]

To find the sides, we can use Sine rule:

As per Sine rule:

[tex]\dfrac{a}{sin A} =\dfrac{b}{sin B} =\dfrac{c}{sin C}[/tex]

Where a, b and c are the sides opposite to [tex]\angle A,\angle B,\angle C[/tex] respectively.

Using Sine rule in given triangle:

[tex]\dfrac{11}{sin 99} =\dfrac{b}{sin 31} =\dfrac{c}{sin 50}\\\\\text{Solving }\dfrac{11}{sin 99} =\dfrac{b}{sin 31} \\\Rightarrow b = \dfrac{11}{sin 99} \times sin31\\\Rightarrow b =5.74\ units\\\\\text{Now, Solving }\dfrac{11}{sin 99} =\dfrac{c}{sin 50} \\\Rightarrow c = \dfrac{11}{sin 99} \times sin50\\\Rightarrow c =8.53\ units[/tex]

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Answer:

Answer:

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

To find:

We know that the sum of all the angles of a triangle is equal to

i.e.

To find the sides, we can use Sine rule:

As per Sine rule:

Where a, b and c are the sides opposite to  respectively.

Using Sine rule in given triangle:

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

Write an equation for the line that is parallel to the given line and that passes through the given point. y= 1/2x - 8; (-6,-17)

Answers

Answer:

y = x/2 -14

Step-by-step explanation:

Since the lines are parallel, their slopes are equal

For the first line, we have

y = 0.5x -8

so comparing this with the standard form y = mx + c

Our m is the slope which is 0.5 here

kindly recall that 1/2 is same as 0.5

so the slope of the line we want to form also is 0.5

Now, we use the point slope form to find the equation of this new line

Mathematically that would be;

y-y1 = m(x-x1)

So;

y-(-17) = 0.5(x-(-6)

y + 17 = 0.5(x + 6)

y + 17 = 0.5x + 3

y = 0.5x + 3-17

y = 0.5x -14

or y = x/2 -14

find the volume of prism
pls!! show how you got the volume ​

Answers

Answer:

7.5

Step-by-step explanation:

Add each number then divide at the end

I'm in summer school and need help. The situation that is best modeled by a discrete graph is
the daily records of the distance of each hotel from home during a cross-country trip.
the height of a wave over time.
the speed of a motorcycle over the distance it travels.
the body temperature of an athlete during a workout.

Answers

Answer:

A. The daily records of the distance of each hotel from home during a cross country trip.

Step-by-step explanation:

A discreet graph is one that is composed of unconnected, "scattered" points. The best option is A because B,C and D would all be graphed to show the increase or decrease in values, (function) while the distances of the hotels are not something that you would have to measure!

Answer:

A

Step-by-step explanation:

Because I have big brain and also y’all know what edge is I got it correct

Using the midpoint method (show your work), calculate the price elasticity of demand when the price of a barrel of gosum berries rises from $10 to $20. What kind of elasticity is this value that you computed for the price elasticity of demand and what does it mean for how demand will change based on a change in price within this price range?

Answers

Answer:

0.18

Step-by-step explanation:

Given that:

P₁ = $10, P₂ = $20

From the tables Q₁ = 900, Q₂ = 800

Using midpoint method:

Percentage change in quantity = [tex]\frac{Q_2-Q_1}{(Q_1+Q_2)/2} *100\%=\frac{800-900}{(900+800)/2}*100\%= -11.76\%\\[/tex]

Percentage change in price =

[tex]\frac{P_2-P_1}{(P_1+P_2)/2} *100\%=\frac{20-10}{(20+10)/2}*100\%= 66.67\%\\[/tex]

Price of elastic demand = Percentage change in quantity/ Percentage change in price = -11.76% / 66.67% = 0.18

The Price of elastic demand is positive because we took the absolute value and elasticity are always positive

Therefore since Price of elastic demand < 1, the demand is inelastic in this interval.

This means that, along the demand curve between $10 to $20, if the price changes by 1%, the quantity demanded will change by 0.18%. A change in the price will result in a smaller percentage change in the quantity demanded. For example, a 10% increase in the price will result in only a 1.8% decrease in quantity demanded and a 10% decrease in the price will result in only a 1.8% increase in the quantity demanded

which graph shows the line y=-3x+1? graph a graph b

Answers

Answer:
This is what your graph would look like...

The graph of y = - 3x + 1 has a slope of -3 and a y-intercept of 1

How to determine the graph?

The equation is given as:

y = - 3x + 1

The above equation is a linear function

A linear function is represented as:

y = mx + c

Where m represents the slope and c represents the y-intercept

This means that the graph of y = - 3x + 1 has a slope of -3 and a y-intercept of 1

Read more about linear equations at:

https://brainly.com/question/4025726

What is the following product? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0

StartRoot 5 x Superscript 8 Baseline y squared EndRoot times StartRoot 10 x cubed EndRoot times StartRoot 12 y EndRoot
3 x Superscript 5 Baseline y StartRoot 3 x y EndRoot
10 x Superscript 5 Baseline y StartRoot 6 x y EndRoot
3 x cubed y StartRoot 3 x squared y squared EndRoot
10 x cubed y StartRoot 6 x squared y squared EndRoot

Answers

[tex]answer \\ = 10 {x}^{5} y \sqrt{6xy} \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps[/tex]

The product of the given expression is;

B: 10x^(5) • y√(6xy)

Laws of Exponents

We are given the expression;

√(5x^(8) • y²) × √(10x³) × √(12y)

Now, according to laws of exponents, we know that; √(a⁴) × √(b³) = √(a⁴ × b³)

Thus, our given expression will be;

√(5x^(8) • y²) × √(10x³) × √(12y) = √[(5x^(8) • y²) × (10x³) × (12y)]

Collecting like terms, we will have;

√[(5x^(8) × 10x³) × (y² × 12y)]

This now gives;

√(50x¹¹ × 12y³)

>> √(600x¹¹y³)

Now, further break down of this gives;

10x^(5) • y√(6xy)

Read more about Laws of exponents at; https://brainly.com/question/11761858

is (1,8) a solution of the equation 3x + 5 = y ?

A True
B False

Answers

Answer:

A.

Step-by-step explanation:

Plug it in:

3 + 5 = 8

TRUE

The answer to this question is true I don’t know why but it is soooo ya pick a

−38d−57≥−19d+76 i need this asap

Answers

X is greater than or equal to -7

How?

Add -19d to both sides.

-38d + 19d -57 is greater than or equal to 76

Add 57 to both sides.

-38d +19d is greater than or equal to 76 + 57

Collect like terms.

-19d is greater than or equal to 133

Divide both sides by -19

X is greater than or equal to -7

−57≥−19d+76+38d

−57≥19d+76

−57−76≥19d

−133≥19d

-133/19 ≥ d

−7≥d

d≤−7

This is a continuous set of points in the coordinate plane. It can be, but is not always, straight.

Answers

Answer:

Linear. While all linear equations produce straight lines when graphed, not all linear equations produce linear functions. In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).

The radius of a circle is 7.1 cm. Find the circumference to the nearest tenth.

Answers

Answer:44.61?

Step-by-step explanation:

Please I need help
With this question thank you for your help me

Answers

Answer:

Using CPCTC we can derive that WM = 8 and OL = 10.

Investigate the relationship between the T-total and the T-number.​

Answers

Answer:

feed me brainly points

Step-by-step explanation:

brainliest?

A flow chart has 4 boxes. The top box is labeled given and contains angle A is-congruent-to angle B, angle C is congruent to angle B. The second box is labeled symmetric property and contains angle B is-congruent-to angle C. The third box is labeled question mark and contains angle A is congruent to angle C. The fourth box is labeled definition of congruent to angle x and contains m angle A = m angle C. What is the missing justification? transitive property reflexive property symmetric property substitution property

Answers

Answer:

  transitive property

Step-by-step explanation:

The transitive property tells you that ...

  ∠A ≅ ∠B  and  ∠B ≅ ∠C

means you can conclude ...

  ∠A ≅ ∠C . . . . transitive property of congruence

Answer:

transitive property

Step-by-step explanation:

on Edguenity quiz

What is the base of a triangle that has an area of 60 square centimeters and a height of 8 centimeters?
A 7.5 cm
B 30 cm
C 52 cm
D 15 cm

Answers

Answer:

I think its (A)

Step-by-step explanation:

To find the area you have to multiply (b*w)*h

and if the area is 60 you just have to divide by the height to get the base area.

60/8=7.5

Hope this helps :3

Solve for x in the diagram below.
3a
80°
2z
د 2

Answers

Answer:

[tex]x = 20[/tex]

Step-by-step explanation:

[tex]3x + 2x + 80 = 180 \\ 5x + 80 = 180 \\ 5x = 180 - 80 \\ 5x = 100 \\ \\ x = \frac{100}{5} \\ \\ x = 20[/tex]

Answer:

x=20

Step-by-step explanation:

The 3 angles are on a straight line together. Therefore, they are supplementary. This means they must add to 180 degrees.

Therefore,

3x+80+2x=180

Combine like terms by adding 3x and 2x

(3x+2x)+80=180

5x+80=180

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

80 is being added to 5x. The opposite of addition is subtraction, so subtract 80 from both sides.

5x+80-80=180-80

5x=180-80

5x=100

x is being multiplied by 5. The opposite of multiplication is division, so divide both sides by 5.

5x/5=100/5

x=100/5

x=20

x is equal to 20.

Other Questions
A local theater company sells 1,500 season ticket packages at a price of $250 per package. The first show in the 10-show season starts this week. (a) The sale of the season tickets before the first show. (b) The revenue from fulfilling the performance obligation by putting on the first show. Solve the equation.2/3-4x+7/2=-9x+5/6 im a story who is the protagonist The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2008, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the calendar year in which the number of new cases would reach 543 NEED GEOMETRY HELP ASAP PLEASE (11 POINTS) what is the function of the pancreas A stack of 4 identical books is 6.28 inches high. What is the heigh of 30 of these books? C'est le livre de Robert. C'est ___________ livre. -3x^2+6x+9=WHY JUST WHY !!!! ? What region of the United States was most directly affected by theOrder? The alien leader approached cautiously, raising a carefulhand to shake the president's hand as he had practiced somany times.Which of the following sentences most clearly has the same tone as thesentence above?A. The young man confidently walked up to the object of his crushand asked her out on a date.B. He felt the restorative sun on his face for the first time in years,like a newborn foal experiencing everything for the first time.C. Our new puppy surveyed the kitchen, and then gingerly steppedforward, sniffing uncertainly.D. Despondent, Brian stared vacantly out the window after the cruelfigure of his former girlfriend. 7. A similarity between New Zealand and Australia is that- *the native populations in both countries are the Aboriginies.the monarch for both countries is Queen Elizabeth II.neither country depends on tourism to boost their economy.the nickname "Kiwi" refers to both Australians and New Zealanders. A firm sells 1000 units per week. It charges $15 per unit, the average variable costs are $10, and the average costs are $25. In the long run, the firm should a.Shut-down because it is cost effective to pay off the remaining fixed costs b.Continue operating as the firm is covering all the variable costs and some of the fixed costs c.Shut-down as the firm is making a loss of $10,000 per week d.Shut-down as price is lower than average cost Explain how the Quotient of Powers Property was used to simplify this expression.three to the fourth power all over nine equals three squared By simplifying 9 to 32 to make both powers base three and adding the exponents By simplifying 9 to 32 to make both powers base three and subtracting the exponents By finding the quotient of the bases to be one third and simplifying the expression By finding the quotient of the bases to be one third and cancelling common factors You have been asked to share with a group of learners in a health course why it is important to protect their skin from the sun's rays. While you are explaining sunburns and the importance of sunscreen, one of the group members asks, "If the sun is so harmful, why does it not cause radiation burns?" Classify the following triangle based on its shape.A. Right B. Isosceles C. Equilateral D. ScalenePlease answer this I need help please help me URGENT!! EASY IM DUMB MY LAST 2 QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!16. Which sentence would be a good counterexample to this statement?A line can exist in only one plane.A) A line intersects one plane and then another.B) A line that is coplanar exists in more than one plane.C) A line is the intersection of two planes.D) A line is parallel to one plane at a time.17. Which statement is needed to complete this syllogism?If the angles of a triangle are all equal, then the sides of a triangle are all equal.If the sides of a triangle are all equal, then the triangle is equilateral.Therefore, if the angles of a triangle are all equal,then________________________.A) the sides of a triangle are all equalB) the angles of a triangle are all equalC) the triangle is equiangularD) the triangle is equilateral "Give a man a fish, he will eat for a day. Teach a man to fish, he will eat for a lifetime." What does it mean? MULTIPLE CHOICE / Will Impact On Other Homeschoolers / Will Mark BrainliestWhich three words from the excerpt best demonstrate sensory words?The pathway was narrow, dry, and deserted. A row of towering Laburnumssheltered it from prying eyes. There were no other trees. Wild azaleas intertwinedwith the posts of the fence that ran along the path. The ground was damp beneath the shady canopy.