The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered
paintings, what is the probability that Tim's and Abby's paintings are in the 6th and 7th positions?

Answers

Answer 1

The probability is the ratio of the favorable event to the total number of events. Then the probability is 0.76%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered paintings.

Then the probability that Tim's and Abby's paintings are in the 6th and 7th positions will be

[tex]P = \dfrac{1}{^{12}P_2} \\\\\\P = \dfrac{1}{\dfrac{12!}{(12-2)!}}\\\\\\P = \dfrac{1}{132}\\\\\\P= 0.007575 \approx 0.0076 \ or \ 0.76 \%[/tex]

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Related Questions

The yearbook club had a meeting. The meeting had 8 people, which is one-fourth of the club. How many people are in the club?

Answers

Answer:

32

Step-by-step explanation:

Since we know 8 = 1/4

We can convert the 1/4 into a percentage:

8 = 25%

To get to 100% which is the full club we have to multiply both sides by 4:

8×4 = 25% ×4

32 = 100%

So there are 32 people in the club.

how do you slove this question i know the answer but don't know how to get it ;A quart of milk costs $0.35. A case of 12 quarts cost $4.08. How much is saved per quart buying the case?

Answers

Answer:

$0.01 or 1 cent.

Step-by-step explanation:

Case: 12 quarts = $4.08

1 quart for case= $0.34

A quart normal= $0.35

0.35-0.34=$0.01

A company makes wax candles in the shape of a rectangular prism. Each Candle is 6 inches long, 4 inches wide and 7 inches tall. how much wax will they need to make 336 candles

Answers

Answer:

168

Step-by-step explanation:

LxWxH

L=6

W=4

H=7

6x4=24

24x7=168

Answer:

63,168 square inches

Step-by-step explanation:

A=2(wl+hl+hw)

A= 2{(4*6)+(7*6)+(7*4)}

A= 188

188 square inches for each candle

188 square inches times 336 candles= 63,168 square inches in total.

Hope this helped <3 Brainliest? :)

4. Solve the inequality and graph the solution. Show work
3k > 5k + 12

Answers

Answer:

Your answer is k< -6

Step-by-step explanation:


Which of the following is the graph of
y = |x – 1 – 4?

Answers

The answer is C. Sends

walking the speed of 5km per hour, a boy hikes a distance of d km in t hours. Find the formula which describes d as a function of t.

Answers

Answer:

F(t) = 5t

Step-by-step explanation:

velocity = distance/time

distance = velocity × time

v - velocity

t - time

d - distance

v = 5

Distance as a function of time:

F(t) = 5×t

where F(t) represents distance

A boy hikes a distance of d km in t hours. The formula describes d as a function of t, F(t) = 5t.

What is the formula for velocity?

velocity = distance/time

v - velocity

t - time

d - distance

v = 5

distance = velocity × time

Distance as a function of time

Therefore, F(t) = 5×t

Where F(t) represents the distance.

To learn more about the distance visit:

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Find the solutions to the rational equation:
x+2 2x-4
3
2
(2 pts)
A
X = 2
B
x = 6
с
x = -2
D
x = 4

Answers

Answer:

D

Step-by-step explanation:

[tex]\frac{x+2}{3}[/tex] = [tex]\frac{2x-4}{2}[/tex] ( cross- multiply )

3(2x - 4) = 2(x + 2) ← distribute parenthesis on both sides

6x - 12 = 2x + 4 ( subtract 2x from both sides )

4x - 12 = 4 ( add 12 to both sides )

4x = 16 ( divide both sides by 4 )

x = 4

Question : -

[tex] \longrightarrow \frac{x + 2}{3} = \frac{2x - 4}{2} [/tex]

What to Find : -

In this question we have to find the value of x .

Let's Get start Solving : -

[tex]\longrightarrow \frac{x + 2}{3} = \frac{2x - 4}{2} [/tex]

So , by cross multiplying :

[tex] \longrightarrow \: 2(x + 2) = 3(2x - 4)[/tex]

Now , calculation left hand side as well as right hand side :

[tex]\longrightarrow \: 2x + 4 = 6x - 12[/tex]

Now , transposing 6x to left hand side and 4 to right hand side :

[tex]\longrightarrow \: 2x - 6x = - 12 - 4[/tex]

Now , solving left hand side and right hand side :

[tex]\longrightarrow \: - 4x = - 16[/tex]

As negative sign is present on both the side , so it will cancel out :

[tex]\longrightarrow \: \cancel - 4x = \cancel- 16[/tex]

Now we have :

[tex]\longrightarrow \: 4x = 16[/tex]

Now we are transposing 4 to right side and it will change into division from multiplication :

[tex]\longrightarrow \: x = \cancel \frac{16}{4} [/tex]

So we get :

[tex]\longrightarrow \: \green{ \boxed{ \bold x = 4}}[/tex]

Therefore value of x is 4 .

Verification : -

We are verifying our answer by putting value of x in given question :

[tex]\longrightarrow \frac{4 + 2}{3} = \frac{2(4) - 4}{2} \: [/tex]

Solving ,

[tex]\longrightarrow \: \frac{6}{3} = \frac{8 - 4}{2} [/tex]

Now subtracting 8 and 4 :

[tex]\longrightarrow \: \frac{6}{3} = \frac{4}{2} [/tex]

Now , dividing 6 by 3 and 4 by 2 :

[tex]\longrightarrow \cancel{\frac{6}{3} } = \cancel{\frac{4}{2} }[/tex]

We get :

[tex]\longrightarrow \: \bold{2 = 2}[/tex]

That means ,

[tex]\longrightarrow L.H.S = R.H.S[/tex]

Hence Verified .

Therefore our answer is correct .

#[tex] \sf{Keep \: Learning}[/tex]

How do i solve this?

Answers

[tex]\text{Given that, f(x) = 2x+5}\\\\f(-1) = 2(-1)+5 = -2+5= 3\\\\f(2) = 2(2)+5 = 4+5 = 9\\\\f(0) =2(0)+5 = 0+5=5\\\\f(z) = 2z+5[/tex]

Please help!!
Sorry for the bad quality

Answers

Answer:

For the table I got 18 for the 5, 36 for the ten and not sure on the last one for the table and for the last one I got approx 5 mins but I’m not too sure

Step-by-step explanation:

Answer:

A.

5 mins = $5.20

10 = $7.20

M - i can't calculate that without having more info but the equation would be (M × 0.40) + 3.20 = Total amount in dollars.

B. 42 minutes

Step-by-step explanation:

Use the equation I listed before for A.

For B. 20.00 - 3.20 = 16.80. 16.80/0.40 = 42.

you should give me brainliest if im right

Find the measure of each missing side length. Round to the nearest tenth.

Answers

Answer:

x = 24.0

Step-by-step explanation:

We will need to use one of the trigonometric ratios to find x.  

If we use 58 as the reference angle, we can use tan to find x, as [tex]tan=\frac{opposite}{adjacent}[/tex]

[tex]tan (58)=\frac{x}{15}\\ 15*tan(58)=x\\x=24.005\\x=24.0[/tex]

I need help on this ​

Answers

Answer:

a) 1/8

b) 8

Step-by-step explanation:

a) 1/2 x 1/2 x 1/2 = 1/8

b) since the exponent is negative it becomes positive when placed in the denominator

so 1/2 ^-1 is equal to 1/1 ÷ 1/2 which is equal to 2

therefore, (1/2)^-3 is equal to 2 x 2 x 2 or 8

A company made 189,909 stuffed animals in 2009 in 2010 the company made 198,909 stuffed animals which statement correctly compares the number of stuffed animals that were there CHOICES : A 189,909 > 198,909 B 198,909 < 189,909 C 189,909 < 198,909 D 198,909 = 189,909 and can you please tell me what to do and the answer PLEASEEEEEE

Answers

The comparison of the number of stuffed animals in both years is an illustration of inequalities

The statement that compares the number of stuffed animals is 189909 < 198909

How to compare the stuffed animals?

The given parameters are:

Stuffed animals in 2009 = 189,909Stuffed animals in 2010 = 198,909

By comparing the number of stuffed animals in both years, we have:

198909 > 189909 or 189909 < 198909

Hence, the statement that compares the number of stuffed animals is 189909 < 198909

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Solve for x:
A. 37
B. 19.25
C. 10.375
D. 41

(4x-6)
71

Answers

Answer:

Answer = B.19.25

Step-by-step explanation:

(4x-6)=71

4x=71+6

4x=77

x=77÷4

x=19.25

solve for the exact values of x and y above

Answers

Answer:

x = 14.14 and y = 10

Step-by-step explanation:

Using trigonometric ratios;

10/x = cos 45

x = 10/(cos 45)

x = 14.14

y/10 = tan 45

y = 10 * tan 45

y = 10

Sage borrowed $4500 from her parents to buy a new car. So far she has repaid $2740. If sage repays her parents $110 a month, how much time will it take her to pay back the full amount of the loan?

Answers

Answer:

16 months

Step-by-step explanation:

Hey there!

This would be the correct answer because first you need to subtract the amount she paid from the amount she owes.

[tex]4500-2740[/tex]

[tex]=1760[/tex]

After that divide that answer from 110

This is because she will be paying 110 each month

[tex]1760/110[/tex]

Once you calculate that you will get 16.

A car dealership sells cars that were made in 2015 through 2020. Let the cars for sale be the domain of a relation R where two cars are related if they were made in the same year. (a) Prove that this relation is an equivalence relation. (b) Describe the partition defined by the equivalence classes.

Answers

The given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.

How is the equivalence relation depicted?

Let the domain of the relation is car(x) belongs to 2015 , 2016, 2017, 2018, 2019, 2020

To prove equivalence relation, we need to prove reflexive, symmetric, transitive properties.

Reflexive relation: x is related to x

Here car(x) is made in 2015, so, car(x)) is in R where R is reflexive relation.

Symmetric relation: x is related to y implies y is related to x

Here (car(x) , car(y)) is in R , i.e car(x) and car(y) are made in same year. R obeys symmetric property

Transitive property: x is related to y and y is related to z then x is related to z. Here (car(x),car(y)), (car(y), car(z)) is in R. Therefore (car(x) , car(z)) is in R

Therefore, the given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.

B. The cars which are made in the same year are in one equivalence class all cars are made in overall 6 years. We get 6 equivalence classes. These classes are partitions, so we have six partitions

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Wayne designed the table shown below for an x-ray room. He wants to cover the shaded rectangular surfaces of the table, marked A, B and C, with a sheet of soft foam padding.

What is the total area of the 3 rectangular surfaces to be covered with foam padding?

Answers

The total surface area of surface 3 rectangular surfaces to be covered with foam padding is 36 ft²

What is an area?

The area is the amount of space occupied by a two dimensional shape or object.

Area of rectangle = length * width

Area of surface A = 1 ft * 4.5 ft = 4.5 ft²

Area of surface B = 0.5 ft * 4.5 ft = 2.25 ft²

Area of surface C = 6.5 ft * 4.5 ft = 29.25 ft²

Total area = 29.25 + 2.25 + 4.5 = 36 ft²

The total surface area of surface 3 rectangular surfaces to be covered with foam padding is 36 ft²

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Im stuck on this problem. Please explain how you got your answer​

Answers

The function [tex]y=0.3^x[/tex] represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.

Population Growth Equation

The formula for the Population Growth Equation is:

[tex]P_f=P_o*(1+\frac{R}{100}) ^t[/tex]

           

Pf= future population

Po=initial population

r=growth rate

t= time (years)

growth or decay factor =  (1 ±r)

When 1+R  > 1, the equation represents growth, while 1+R < 1 the equation represents decay.

The question gives:

[tex]y=0.3^x[/tex], then

Pf=y

Po= 1  

[tex](1+\frac{R}{100}) =0.3[/tex] , thus

[tex](100+R}) =30\\ \\ R=-100+30\\ \\ R=-70[/tex]

r= -70%= -0.7

decay factor= (1-0.7)=0.3

Therefore,

1+R will be = 1+(-0.7)=1 - 0.7 =0.3

When 1+R >1, the function represents exponential growth.

Read more about the exponential function here:

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A collection of nickels and quarters in a jar is worth
$8.05. If there are a total of 45 nickels and quarters
in the jar, how many nickels are there?

Answers

Answer:

16 nickels

Step-by-step explanation:

Let "n" be the number of nickels

Let "q" be the number of quarters

We know that,

1 nickel = $ 0.05 or 5 cent

1 quarter = $ 0.25 or 25 cent

Anna has a collection of 45 nickels and quarters

Therefore,

n + q = 45

q = 45 - n --------- eqn 1

Anna has a collection of 45 nickels and quarters worth $8.05

$ 8.05 is worth 805 cents

Thus we frame a equation as:

number of nickels x 5 cents + number of quarters x 25 cents = 805

5n + 25q = 805 ----- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

5n + 25(45 - n) = 805

5n + 1125 - 25n = 805

20n = 1125 - 805

20n = 320

n = 16

Then there are 16 Nickels

solve a simplify ( no exponent )
need the answer …

Answers

Answer:

  1/3

Step-by-step explanation:

Your choice of answer must be consistent with the instructions.

The only answer with no exponent is the correct one:

  1/3

__

The rules of exponents tell you ...

  (a^b)(a^c) = a^(b+c)

  3^(-4) × 3^3 = 3^(-4+3) = 3^-1

and

  a^-b = 1/a^b

so

  3^-1 = 1/3^1 = 1/3 . . . . written without an exponent

Please help I will give brainliest.

Answers

Answer:

a and -b is the answer

Step-by-step explanation:

(x-a)(x+b) = 0

x-a = 0 and x+b = 0

then

x = a and x = -b

Prove that AABE = ADCE, given that AE = DE, BE CE, with the same vertex measure ZE.​

Answers

Answer:

I don't understand the question

YOOOO can somebody help me with this

Answers

Answer:

Area= MULTIPLICATION

So, 13x9x4x15x10=70200

70200 Square inches.

There are two rectangles in the idiosyncratic shape. In order to find the area of the figure, we need to solve for one rectangle first.

The formula for solving the area of a rectangle is [tex]A = lw[/tex]. For the smaller rectangle on the left, we have both the length and width, so we can just multiply after plugging in the numbers into the equation; [tex]A = 13 * 4[/tex]. The 13 represents the length and the 4 represents the width. After solving, we get 52 inches squared for the first rectangle.

The larger rectangle, we already have the length and width as well, so we can just plug the numbers into the formula, [tex]A = 15 *10[/tex], as 15 represents the length and the 10 represents width. 15 × 10 = 150.

After doing this, we need to add up the two rectangles together, which we get a sum of 202. The total area of the figure is 202 inches squared.

Are the triangles similar? How do you know?

Answers

Answer:

They are similar because triangle AMY has sides double the size of CED. If you divide AMY's triangle sides by 2, you will have a triangle that is the exact size of CED. :)

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

The triangles are similar

Step-by-step explanation:

To tell whether the triangles are similar or not we can compare their side lengths

if the triangle are similar then their side lengths' will be proportional:

MY/CD = AY/ED

10/5 = 8/4 cross multiply expressions

40 = 40 as we can see from this result, the side lengths are proportional so we can say these triangles are similar

An oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches. what is the volume of the oblique cone? round to the nearest tenth. 142.4 cubic units 142.4 square units 196.0 cubic units 196.0 square units

Answers

The volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches

Volume of a cone

The formula for calculating the volume of an oblique cone is expressed as:

V = (1/3) * π * r² * h.

where

r is the radius

h is the height

Given the following parameters

r = 4 units

h = 8.5 units

Substitute

V = (1/3) * 3.14 * 4² * 8.5.

V = 142.4 cubic inches

Hence the volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches

Learn more on volume of cone here: https://brainly.com/question/1082469

Answer: 142.4

Step-by-step explanation:

Year 7 > T.12 Find what percent one number is of another: word problems
Frank's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 30
caffeinated teas and 10 decaffeinated teas. What percentage of the teas served were
caffeinated?
Write your answer using a percent sign (%).
Submit

Answers

Answer:

8995{c-(-12)4} valva a 2 b 5 c -7

1&5<y x=(2,0)

A stadium can seat `16000` people at full capacity.if there are `13920` people in the stadium, what percent of the stadium is full?

Answers

Answer:

87%

Step-by-step explanation:

13920/16000=0.87=87%

17. Which quotient will be larger? Explain
how you can tell without dividing.
3,444 : 42
4,368 : 42

Answers

Answer:

4,368 / 42

Step-by-step explanation:

I can tell without answering the problems because if you have a larger amount to divide by, it would lead to people having a higher amount. Meanwhile having a smaller amount to divide by.

Find (fog)(x) given f(x) = 2x2-x+1 and g(x) = 4x +3

Answers

Answer:

fg(x) = 32x²+44x+16

Step-by-step explanation:

fg(x) = f[g(x)]

= f(4x+3)

= 2(4x+3)²-(4x+3)+1

= 2(4x+3)²-(4x+3)+1

= 2(16x²+24x+9)-4x-3+1

= 32x²+44x+16

I’m in need of help

Answers

Answer: 196 degrees

Step-by-step explanation:

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