Please help! Correct answer only!
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.

Please Help! Correct Answer Only!Lester Teaches A Ceramics Class On The Weekends. In Sunday's Class,

Answers

Answer 1

Answer:

The probability that exactly 11 of the chosen clay objects are vases

P(X = 11 ) = 0.16472

Step-by-step explanation:

Step(i):-

Given students created 19 clay objects, 12 of which were vases

probability of successes

                            [tex]p = \frac{x}{n} = \frac{12}{19} = 0.6315[/tex]

q  = 1 - p = 1 - 0.6315 = 0.3685

Step(ii):-

Given  n = 16

Let 'X' be the random variable in binomial distribution

[tex]P(X = r) = n _{C_{r} } p^{r} q^{n-r}[/tex]

The probability that exactly 11 of the chosen clay objects are vases

[tex]P(X = 11) = 16 _{C_{11} } (0.6315)^{11} (0.3585)^{16-11}[/tex]

we will use formula

[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!}[/tex]

[tex]n_{C_{r} } =n_{C_{n-r} }[/tex]

[tex]16_{C_{11} } =16_{C_{16-11} }= 16_{C_{5} } = \frac{16 X 15 X 14 X 13 X 12}{5 X 4 X 3 X 2 X 1} = 4368[/tex]

[tex]P(X = 11) = 4368 (0.006369)(0.005921)[/tex]

P(X = 11 ) = 0.16472

Conclusion:-

The probability that exactly 11 of the chosen clay objects are vases

P(X = 11 ) = 0.16472


Related Questions

For what values of m does the graph of y = mx?- 5x-2 have no
5x - 2 have no x-intercepts?​

Answers

Answer:

no

Step-by-step explanation:

It does.

5x-2=0

5x=2

x=2/5

(2/5, 0)

is an x-intercept

Answer:

m<-25/

Step-by-step explanation:

The chart below shows the prices at different stores for bags of chips. ​ Store A has 2 for $4 Store B has 3 for $5 Store C has 5 for 8$ and Store D has $1.25 each ​At what store will it be the least expensive to buy 30 bags of chips?

Answers

The answer to you question is D

What value of b with cause the system to have an infinite number of solutions?
A.
B.
C.
or
D.

Answers

Step-by-step explanation:

-3x+3x-(b÷2)=-3

0-(b÷2)=-3

-(b÷2)=-3

b=-2×-3=+6

=> b=6

What is the common denominator method. Pls explain with detail

Answers

Answer:

when both bottom numbers on a fraction are the same at the lowest form

Step-by-step explanation:

example: 2/4 + 6/8 the common denomenator is 8 as both numbers go into it and you only have to times by 2 so answer would be 10/8 which is also 1 2/8

identify the domain and range of y = 4x - 5 + 3

Answers

Answer:

[tex]\huge\boxed{\text{Domain:}\ D=\mathbb{R}=(-\infty;\ \infty)}\\\boxed{\text{Range:}\ R=\mathbb{R}=(-\infty;\ \infty)}[/tex]

Step-by-step explanation:

y = 4x - 5 + 3 = 4x - 2

It's an equation of a line in the slope-intercept form.

y = 4x - 2 → f(x) = 4x - 2 - it's a lienar function.

The domain of a linear function is the set of all real numbers.

If a slope of linear function is different than 0, then the range is the set of all real numbers.

Answer: negative infinity to infinity and 3 to infinity

Step-by-step explanation:

edge 2023

A school band decides to hold a bake sale to raise money. They withdrew $50 from the band's account for ingredients. The deposit they made back into the account from the sale was $140. What was the overall increase or decrease in the band's account?

Answers

Answer:

90

Step-by-step explanation:

140-50

this is because the band took 50 and got 140 to remove 50 from 140

What is the value of x if:
-0.1x + 3/10 = 4/10
Solve as linear equation.
NEED HELP ASAP

Answers

Answer:

x= -1

Step-by-step explanation:

Solving through linear equation,

-0.1x + 3/10= 4/10

Bring 3/10 to the other side making it minus

-0.1x = 4/10 - 3/10

-0.1x = (4-3)/10

-0.1x= 1/10

Bring -0.1 to the other side n divide

x= 1/10 ÷ -0.1

( Note that -0.1 is the same as -1/10)

x = 1/10 ÷ -1/10

= 1/10*-10/1

= -10/10

= -1

PLEASE HELP WILL MARK BRAINLIEST

Eight students were asked how many books they read last summer. Their answers are shown in the line plot below.



Find the range and the mode for the data.

(a)range:
(b)mode:

Answers

Answer:

(a). Range is 6 (b). Mode is 5.75

Step-by-step explanation:

Finding range: Subtract the smallest value (2) from the largest value (8).

Finding mode: Add all the values (for each "x" you add the value that it corresponds to) and then divide them by the number of x's.

I need help with how to solve things like this. The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you would travel between each the Elm and Symphony Stations. Round your answer to the nearest tenth of a mile. the distance between the Elm and Symphony Stations is how many miles?

Answers

Answer:

8 miles OR 8.0 miles

I will mark you brainliest! How much money did Nikki orginally invest?

Answers

Answer:D

Step-by-step explanation:

The Answer will be- D

Which question should you expect to be answered with variable data?

How many seventh graders are at school today?
How tall is the Empire State Building?
What is the age of my science teacher?
In what months were my family members born?

Answers

Answer:

The correct answer is the last one.

Step-by-step explanation:

Variable data is any kind of information gathered that can be made into a chart or graph representing what was collected. In other words, the data collected must vary.

The first, second, and third answers cannot be made into a chart/graph as it would be a singular number, and not provide varying data (which is required to produce a graph/chart).

The last answer would be correct as one can create a chart as the data collected from that question would vary. For example, five family members could be born in July, six in August, and ten in October. The variable that is "varying" would be these months.

Hope this helps!

the answer is D.

here is proof

Will give BRAINLIEST cuz ion know how to do this yall :)


Describe, in detail, the sequence of transformations for figure 1 to form Figure 3 put slide, flip and turn in the right order as the picture shows

Answers

Step-by-step explanation:

1 to 2. object 1 is moved 6 units down, and rotated 180° towards the left

2 to 3. object 2 is moved 6 units right

whats the formula of an rectangle

Answers

Answer:

Perimeter: 2l+2w

Area: lw

Step-by-step explanation:

Let l=length, and w=width

Answer:

For Perimeter its  2times length + 2times width

and for Area its: length times width

Hope this helps :)

What’s 4x^2+28x+24 factored?

Answers

Answer:

[tex](4x + 4)(x + 6) \\ [/tex]

Step-by-step explanation:

[tex]4 {x}^{2} + 28x + 24 \\ 4 {x}^{2} + 24x + 4x + 24 \\ 4x(x + 6) + 4(x + 6) \\ (4x + 4)(x + 6)[/tex]

hope this helps you.

brainliest appreciated

good luck!

have a nice day!

Which model represents a fraction greater than Three-fifths? A circle divided into 5 equal parts. One part is shaded. A circle divided into 10 equal parts. 5 parts are shaded. A circle divided into 6 equal parts. 2 parts are shaded. A circle divided into 10 equal parts. 8 parts are shaded.

Answers

Answer: A circle divided into 10 equal parts with 8 parts shaded

Step-by-step explanation:

Alright, there are a lot of words here so lets write them down as fractions so its easier to compare.

A circle divided into 5 parts with 1 part shaded = 1/5

A circle divided into 10 parts with 5 parts shaded = 5/10

A circle divided into 6 parts with 2 parts shaded = 1/3

A circle divided into 10 parts with 8 parts shaded = 8/10

Okay so looking at this we can see that they don't have a common denominator so lets fix that

1/5 = 6/30

5/10 = 15/30

1/3 = 10/30

8/10 = 24/30

3/5 = 18/30

Now lets find which one is greater than 3/5

Only the 24/30 one is greater, and looking back that is the circle divided into 10 parts with 8 of them shaded.

Answer: B for short

Step-by-step explanation:

All credit to the person above me! <3

if x^4x^2/3=X^a what is the value of a?

Answers

Answer:

x^(4+2/3)=x^a

a=4+2/3=(12/3)+(2/3)=14/3

Step-by-step explanation:

Brian, Krutika and Peter share £77 in a ratio 2:2:3. How much money does each person get?

Answers

_______________________________

Hey!!!

Solution,

2x+2x+3x=77

or,7x=77

or,X=77/7

X=11

Replacing value,

2x=2*11

=22

3x=3*11

=33

So, Brian gets £ 22.

Kritika gets £ 22

Peter gets £ 33

Hope it helps...

Good luck on your assignment

_____________________________

Solve for x.
Your answer must be simplified.
-x < -29

Answers

Answer:

x=29

Step-by-step explanation:

isolate x, and multiply the 29 by -1

Please help! Correct answer only please! I need to finish this assignment by today.

City Donuts recently sold 12 donuts, of which 6 were maple donuts. What is the experimental probability that the next donut sold will be a maple donut?

Simplify your answer and write it as a fraction or whole number.

P(maple donut) =

Answers

Answer:

1/2

Step-by-step explanation:

Out of a total 12 donuts, 6 of them are maple. Assuming this ratio stays constant, the experimental probability that the next one sold is a maple donut is 6/12=1/2. Hope this helps!

Answer:

P(maple donut) = 0.5

Step-by-step explanation:

If they sold 12 donuts, of which 6 of them were Maple Donuts.

The experimental probability of donuts sold that were maple donuts is:

[tex]\frac{6}{12}=\frac{1}{2}=0.5[/tex]

Therefore donuts sold in the future, would follow this probability, so our answer is 0.5.

What percent of 660 is 99?

Answers

Answer:

15%

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

[tex]\frac{99}{660} =\\\\\frac{3}{20} =\\\\\frac{15}{100}[/tex]

99 is 15% of 660

Expand and simplify ( √2 + 3)to the power of 2

Answers

Answer:

Step-by-step explanation:

[tex](\sqrt{2}+3)^2=(\sqrt{2})^2 + 6\sqrt{2}+9 = 6\sqrt{2} +9+2=6\sqrt{2}+11[/tex]

hope this helps

the two-way table below shows the intended careers among the incoming class of first-year college students, divided by gender. If a student is chosen and random, what is the probability of the student is female who intends to be a research scientist?​

Answers

Answer:

c. 2.2%

Step-by-step explanation:

The total number of all students in all fields, male and female is 4663.

There are 103 female research scientists.

p(female scientist) = 103/4663 = 0.022 = 2.2%

In △XYZ, m∠X = 27° and m∠Y = 48°. Which gives the sides of the triangle in order from shortest to longest?

Answers

Answer:

z, y and x

Step-by-step explanation:

Now, to answer this question, what we must know is that the side facing the largest angle is the largest while the side facing the smallest is the smallest.

What i’m saying in essence is that the bigger the angle faced, the larger the side.

Now since we have 3 angles in a triangle that adds up to 180

we have 27 and 48 already, the third side would be 180-27-48 = 105

So which side faces which angle?

Let’s have a diagrammatic representation of the said triangle.

Check this in the attachment please

The longest side is thus z, followed by y and lastly x

The measure of the angle from shortest to longest will be ∠z, ∠y, and ∠x.

What is angle measurement?

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Given data;

m∠X = 27°

m∠Y = 48°

The sum of the angle of the triangle is 180°

m∠X+m∠Y+m∠Z = 180°

27° +48° + m∠Z  =  180°

m∠Z = 105°

The order of the angle measurement;

m∠Z > m∠Y > m∠X

Hence, the measure of the angle from shortest to longest will be ∠z, ∠y, and ∠x.

To learn more about the angle measurement, refer to the link;

https://brainly.com/question/14684647

#SPJ5

Please help with this question​

Answers

Answer:

  a) 50π cm^2

  b) π/8

Step-by-step explanation:

a) The formula for the area of a semicircle is ...

  A = (1/2)πr^2 = (1/2)π(d/2)^2 = (π/8)d^2

For a diameter of 20 cm, the area is ...

  A = (π/8)(20 cm)^2 = 50π cm^2 . . . . . the area of the semicircle

__

The formula for the area of a quarter circle is ...

  A = (1/4)πr^2

For a radius of 20 cm, the area is ...

  A = (π/4)(20 cm)^2 = 100π cm^2 . . . . . the area of the quarter circle

__

The shaded area is the difference of the areas of the quarter circle and semicircle:

  shaded area = (100π cm^2) -(50π cm^2)

  shaded area = 50π cm^2

__

b) The ratio of the shaded area to the square area is ...

  shaded area / square area = (50π cm^2)/(20 cm)^2 = π/8

help please i’ll give u brianliest

Answers

Answer:

I guess the answer is c.... I guess it must be c

LMN is a right triangle. True or False

Answers

Answer:

False

Step-by-step explanation:

Let us check using Pythagorean Theorem

[tex]c^2 = a^2 + b^2[/tex]

Where c is the hypotenuse (14), a is the base (13) and b is the perpendicular (5)

Putting in the above formula

[tex]14^2 = 13^2 + 5^2[/tex]

196 = 169+25

196 ≠ 194

So, It is not a right angled triangle

Hi can anyone please help me I really need help please help me

Answers

Answer:

3811.2 cubic cm

Step-by-step explanation:

Formula for sphere volume: 4/3πr^3 and since r=10, then plugging it in will be 1000*4/3π≈4188.79. The cube has side length 10*2=20 and has a volume of 20^3=8000. 8000-4188.79=3811.21≈3811.2

classify the number as rational or irrational 2√5​

Answers

m2.24

Step-by-step explanation:

I did the math and got 2.236 and rounded it and got 2.24.

irrational, the number doesn’t end and doesn’t repeat a pattern

(02.03)At a dog shelter, a 26-pound bag of dog food will feed 40 dogs. How many dogs would you expect to feed with a 13-pound bag of dog food? (Input only whole numbers.)

Answers

Answer: 20 dogs





Explanation: The quickest way is to make a fraction of 26/40. 26 divided by 2 is 13 and 40 divided by 2 is 20.



The best way is to set up a proportion: 26 lbs/40 dogs=13 lbs/x dogs.

Cross multiplying (26*x and 13*40) leaves us with 520=26x.

When we divide both sides by 26, we find that 20 dogs is the answer.

The numbers 1, 2, ... ,10 are to be entered into the 10 boxes shown below, so that each number is used exactly once: P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square). What is the maximum value of P? What is the minimum value of P?

Answers

Answer:

Maximum: 756

Minimum: 600

Step-by-step explanation:

A square is the shape that has the maximum area out of all possible rectangles of a given perimeter. This means that to create the maximum value of P, you will want the two parentheses to be as close in value as possible, and to create the minimum value, for them to have the biggest difference. 1+2+3...+10=55, which is not even, but can be divided as closely as possible into 27 and 28, which have a product of 756. This can be done in this problem in several ways, one of which is:

(1+3+5+8+10)(2+4+6+7+9)

For the minimum, the largest difference can be made when one term is full of the smallest numbers, and the other is full of the largest, or:

(1+2+3+4+5)(6+7+8+9+10)=600

Hope this helps!

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