The width of a rectangular rug is 6 feet if the perimeter is 24 feet what is the area of the rug?

Answers

Answer 1

Answer:

36 feet squared

Step-by-step explanation:

Finding the perimeter of an object is adding all of the sides together. If the width of the rug is 6 feet then we know that there are two sides that length. Add those together.

6 feet + 6 feet = 12 feet

You would subtract the number you get from the perimeter.

24 feet - 12 feet = 12 feet

And then divide the number by the number of sides left, 2, to get each of their lengths.

12 feet / 2 feet = 6 feet

To find the area of a rectangle you multiply length times width, which in this case both are 6 feets.

6 feet x 6 feet = 36 feet squared


Related Questions

79. Revenue. The revenue (in dollars) from the sale of x infant car seats is given by R1x2 = 60x - 0.025x2 0 ... X ... 2,400 (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (B) Use the four-step process to find R′1x2. (C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and write a brief verbal interpretation of these results.

Answers

Question:

59 Revenue. The revenue (in dollars) from the sale of x infant car seats for infants is given by

R(x) =60·x - 0.025·x² 0 ≤ x ≤ 2400

(A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats.

(B) Use the four-step process to find

(C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and write a brief verbal interpretation of these results

Answer:

(A) $437.5

(B) R'(x) = 60 - 0.05·x

(C) $10

Step-by-step explanation:

(A) Here we have the change in revenue when production is increased from 1,000 car seats to 1,050 car seats is given as follows;

R(1050) - R(1000) = 60×1050 - 0.025×1050² - (60×1000 - 0.025×1000²)

R(1050) - R(1000) = 63000 - 27562.5 - 35000 = $437.5

(B) R'(x) is given by

Step 1. R(x + h) = 60·(x+h) - 0.025·(x+h)²

Step 2  R(x + h) - R(x) = 60·(x+h) - 0.025·(x+h)² -  60·x - 0.025·x² = [tex]-\frac{h^2+(2x-2400)h}{40}[/tex]

Step 3

[tex]\frac{R(x+h)- R(x)}{h} = -\frac{h^2+(2x-2400)h}{40 \times h} = -\frac{h +2x - 2400}{40}[/tex]

Step 4

[tex]\lim_{h \to 0} \frac{R(x+h)- R(x)}{h} = \lim_{h \to 0} -\frac{ h +2x - 2400}{40}[/tex]

∴  R'(x) = 60 - 0.05·x

(c) The revenue at a production level of 1000 car seats is

R(1000) = (60×1000 - 0.025×1000²) = $35,000

The instantaneous rate of change of revenue is given as follows

R'(x) = 60 - 0.05·x = 60 - 0.05×1000 = $10.

Final answer:

A) The average change in revenue when production is changed from 1,000 car seats to 1,050 car seats is $8.75. B) The derivative of the revenue function R1(x) with respect to x is R′1(x) = 60 - 0.05x. C) At a production level of 1,000 car seats, the revenue is $35,000 and the instantaneous rate of change of revenue is $10.

Explanation:

(A) To find the average change in revenue, we need to calculate the change in revenue and divide it by the change in the number of car seats produced. Let's calculate:

For 1,000 car seats, the revenue is R1(1000) = 60(1000) - 0.025(10002) = $60,000 - $25,000 = $35,000.For 1,050 car seats, the revenue is R1(1050) = 60(1050) - 0.025(1050x2) = $63,000 - $27,562.50 = $35,437.50.The change in revenue is $35,437.50 - $35,000 = $437.50.The change in the number of car seats produced is 1,050 - 1,000 = 50.The average change in revenue is $437.50/50 = $8.75.

(B) To find R′1(x), we need to calculate the derivative of the revenue function R1(x) with respect to x. Let's differentiate:

R′1(x) = d/dx(60x - 0.025x2) = 60 - 0.05x

(C) At a production level of 1,000 car seats, the revenue is $35,000. The instantaneous rate of change of revenue (also known as the marginal revenue) at this production level can be found by substituting x = 1,000 into R′1(x):

R′1(1000) = 60 - 0.05(1000) = 60 - 50 = $10. The revenue at this production level is $35,000 and the instantaneous rate of change of revenue is $10, which represents the additional revenue obtained from producing one additional car seat.

Learn more about Revenue and production changes here:

https://brainly.com/question/32240714

#SPJ3

Which ordered pair is a solution of the equation y-4=7(x-6)

Answers

Answer:

y=7x-38

Step-by-step explanation:

(0, -38) (-7, -31) (-14, -24) (-21, -17) are a few ordered pairs that are solutions to the equation “y - 4 = 7(x - 6)”.

A company specializing in foreign language lessons sells one set of lessons for $199, but all five sets of lessons purchased upfront sell for $499, a discount of nearly 50%. The company is offering this large discount in hopes that its consumers experience:

Answers

Answer:

Overconfidence

Step-by-step explanation:

In this question we have a company that is offering a certain higher discount when a customer purchases its wares at bulk rather than in bits, we want to know what exactly the customer wants its company to experience.

The correct answer to this is overconfidence. The company wants its customers to experience overconfidence by going for the second option which shows a massive reduction in value of what they should pay

find the value of sin(θ) for an angle θ in standard position with a terminal ray that passes through the point (-5, -12)

Answers

Answer:

c. -12/13

Step-by-step explanation:

it will be the y-coordinate divided by the distance from the origin, or (-12) / [tex]\sqrt{5^2+12^2}[/tex] = -12/13

Answer:

C. -12/13

Step-by-step explanation:

(-5,-12) is in the third quadrant

So sin would be negative

Hypotenuse = sqrt(5² + 12²)

sqrt(169)

13

sin(theta) = -12/13

Just Logarithms! 80 points!

1. Evaluate: log216
Select the appropriate response
A) 0
B) -1
C) 7

2. Express as a simple logarithm 2loge2+3logen.
Select the appropriate response:

A) Ln 2n2
B) ln 4n3
C) 4Ln 2n2

3. Solve log3 (27)
Select the appropriate response
A) 1
B) 2
C) 3
D) 8

4. Solve log2 (64)
Select the appropriate response:
A) 6
B) 5
C) 4
D) 13

5. Solve: log5 (625)
Select the appropriate response
A) 4
B) 6
C) 9
D) 2

6. Evaluate: log216
Select the appropriate response
A) 5
B) 8
C) 4

7. Solve log3 (81)

Select the appropriate response
A) 8
B) 6
C) 4
D) 72

8. Solve log4 (1)
Select the appropriate response
A) 0
B) 3
C) 1
D) 5

Also I don’t know why there is one two times with different answers

Answers

1. A) 0 (I’m not totally sure since there are two of the same thing, but with different answers.)

2. (Not sure)

3. C) 3

4. A) 6

5. A) 4

6. C) 4 (I’m pretty sure it’s 4 if it’s in the way I think it should be in to get 4.)

7. C) 4

8. A) 0

(I tried my best, I’m probably wrong, because I don’t exactly know how to do logarithms yet. Sorry if I got some wrong.)

Answer:

1) B

2) B

3) C

4) A

5) A

6) C

7) C

8) A

antiderivative of Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = 6 x 5 − 8x4 − 9x2.) f(x) = 6x5 − 8x4 − 9x2 the function.

Answers

Answer:

x^6 - (8/5)x^5 - 3x^3 + C.

Step-by-step explanation:

f(x) = 6x^5 - 8x^4 - 9x^2.

Using the general form antiderivative of Ax^m = Ax(m+1) / (m+1)+ C:

Antiderivative = 6 * x^(5+1) / 6 - 8 * x^(4+1) / 5 - 9 * x^(2+1) / 3 + C

=  6x^6/6  - 8x^5/5 - 9x^3/3 + C

= x^6 - (8/5)x^5 - 3x^3 + C.

Differentiating:

f'(x) = 6x^(6-1) - 8 x^(5-4) - 9x^(3-1) + 0

f'(x) = 6x^5 - 8x^4 - 9x^2.

Final answer:

The most general antiderivative of the given function f(x) = 6x5 − 8x4 − 9x2 is F(x) = x^6 - 8/5 * x^5 - 3x^3 + C, where C is the constant of the antiderivative.

Explanation:

To find the most general antiderivative of the given function f(x) = 6x5 − 8x4 − 9x2, we need to perform the process of integration, which is the reverse of differentiation. The antiderivative F(x) will be found by integrating each term of the function separately.
The antiderivative of f(x) will then be:  

F(x) = ∫6x5 dx - ∫8x4 dx - ∫9x2 dx,

Transitioning to the next step by applying the power rule for integration, we add 1 to the exponent and divide by the new exponent, we obtain

F(x) = 6/6 * x^(5+1) - 8/5 * x^(4+1) - 9/3 * x^(2+1) + C

Simplified, the antiderivative F(x) becomes:  

F(x) = x^6 - 8/5 * x^5 - 3x^3 + C,

where C is the constant of the antiderivative.

Learn more about Antiderivative here:

https://brainly.com/question/31396969

#SPJ2

4+35=23+43-23+46-34-34+6

Answers

Answer:

4+35=39, 23+43-23+46-34-34+6=27. So it is a no solution question.

Step-by-step explanation:

Both of the equations do not equal

Answer:

69

Step-by-step explanation:

I love the number 69, and tbh it's the answer to everything

Bryan is asked to write an inequality to represent the graph.

A number line going from negative 16 to negative 10. An open circle is at negative 14. Everything to the right of the circle is shaded.
He writes Negative 14 less-than-or-equal-to x.

Which error did Bryan make?

Answers

Answer:

c

Step-by-step explanation:

The error was to include the number -14 in the inequality.

What is an Inequality?

An inequality is a statement that is formed when two expressions are joined using an inequality operator.

The inequality that represents the statement is

x  > -14

Bryan wrote the inequality as x ≥ -14 , which is wrong as there is an open circle at -14 on the number line.

An open circle depicts that the number is not included.

To know more about Inequality

https://brainly.com/question/20383699

#SPJ2

Weekend Curfews
Determine the values of the letters to complete the
conditional relative frequency table by column.
16 Years
Old
17 Years
Old
Total
0.9
b
0.88
Before
10 p.m.
After
10 p.m.
0.15
0.12
1
Total |
1.0
1.0

Answers

Answer: therefore A= 0.1 and B=0.85

Step-by-step explanation:

The values of 'a' and 'b' in the frequency table are 0.1 and 0.1

We have,

To complete the conditional relative frequency table, we need to find the values of the letters 'a' and 'b'.

We know that the total for each row and column should add up to 1.

So, we can use this information to set up two equations and solve for the values of 'a' and 'b'.

Equation 1:

0.9 + b = 0.88

This equation represents the total percentage of students aged 16 years who finish homework before 10 pm.

We subtract 0.9 and 0.88 from both sides to get:

b = 0.88 - 0.9

b = -0.02

This means that the value of 'b' is negative, which doesn't make sense.

So, we made an error in setting up the equation.

We can check the table to find the correct value of 'b'.

We know that the total for the column "Before 10 pm" should be 1.

This means that the sum of the percentages 0.9 and 'b' should be equal to 1.

So,

Equation 2:

0.9 + b = 1

Solving for 'b', we get:

b = 1 - 0.9

b = 0.1

Now, we can use Equation 2 to solve for 'a':

0.15 + a = 0.12

Subtracting 0.15 from both sides, we get:

a = 0.12 - 0.15

a = -0.03

Again, we get a negative value for 'a', which doesn't make sense.

So, we need to check our work again.

We know that the total for the row "16 years" should be 1.

This means that the sum of the percentages 0.9 and 'a' should be equal to 1.

So,

0.9 + a = 1

Solving for 'a', we get:

a = 1 - 0.9

a = 0.1

Therefore,

The values of 'a' and 'b' in the frequency table are 0.1 and 0.1

Learn more about the frequency table here:

https://brainly.com/question/29084532

#SPJ7

simplify 48x^7-(-8x^7)

Answers

Answer:

56x^7

Step-by-step explanation:

48x^7-(-8x^7) = 48x^7 + 8x^7 = 56x^7

What is the diagonal length of the suitcase

Answers

Answer: The diagonal length of the suitcase is 30 inches. Assuming that the length and height of the suitcase form a right angle (90 degree angle), you can use the Pythagorean Theorem ( a2+b2 = c2) to solve this problem. The diagonal length is equal to the square root of the sum of the length squared and the height squared.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

if you think about a rectangle cut by its diagonal then yoou can see that its just 2 right triangles and youre looking for the long end

Using pythagorean theorem you put in the numbers

[tex]24^{2} + 18^2 = c^2[/tex]

solving gives you

[tex]900 = c^2[/tex]

[tex]\sqrt{900} = c[/tex]

30 = c

Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades? Express your first answer as a fraction in simplest form

Answers

Answer:

Hence  the probability of getting 2 spades will be 1/16

Step-by-step explanation:

Given:

Two deck if playing cards

To Find:

Probability that will get two spades

Solution:

As we know that ,there 52 playing cards in a deck

and 13 of that are spades

So probability of getting spade from a deck is ,

P(spades)=total number of spades /Total number of cards.

P=13/52

P=1/4

Similar for the second deck of card,

Required probability is that , getting spades from each deck

It is given by,

Required probability =Probability of spades in 1st AND Probability  of spade in 2nd deck

As there is use of AND operator there should multiplication of two events,

Required probability =1/4*1/4

=1/16

Vicente se gasta 20 euros en un pantalón y una camisa. No sabe el precio de cada prenda, pero sí sabe que la camisa vale dos quintas partes de lo que vale el pantalón. ¿Cuánto vale el pantalón?

Answers

Answer:

14.3€

Step-by-step explanation:

Let:

[tex]C=Price\hspace{3}of\hspace{3}the\hspace{3}shirt\\P=Price\hspace{3}of\hspace{3}the\hspace{3}pants\\T=Total\hspace{3}cost[/tex]

Now, let's write the data provided by the problem, using algebraic notation.

The total cost of the clothes is 20€, so:

[tex]P+C=T\\\\P+C=20[/tex]

The price of the shirt is :

[tex]C=\frac{2}{5} P[/tex]

Replacing this value into the first equation:

[tex]P+\frac{2}{5} P=20[/tex]

Solving for P:

[tex]\frac{7}{5} P=20\\\\P=\frac{100}{7} \approx 14.3[/tex]

So, the price of the pants is 14.3€ and the price of the shirt is:

[tex]C+14.3=20\\\\C=20-14.3=5.7[/tex]

Translation:

Deja que:

[tex]C=Precio\hspace{3}de\hspace{3}la\hspace{3}camisa\\P=Precio\hspace{3}del\hspace{3}pantalon\\T=Costo\hspace{3}total[/tex]

Ahora, escribamos los datos proporcionados por el problema, usando notación algebraica.

El costo total de la ropa es de 20 €, entonces:

[tex]P+C=T\\\\P+C=20[/tex]

El precio de la camisa es:

[tex]C=\frac{2}{5} P[/tex]

Reemplazando este valor en la primera ecuación:

[tex]P+\frac{2}{5} P=20[/tex]

Resolviendo para P:

[tex]\frac{7}{5} P=20\\\\P=\frac{100}{7} \approx 14.3[/tex]

Entonces, el precio del pantalón es de 14.3 € y el precio de la camisa es:

[tex]C+14.3=20\\\\C=20-14.3=5.7[/tex]

The price of the pants is 14.3€ and the price of the shirt is: [tex]C+14.3=20\n\nC=20-14.3=5.7[/tex].

Let:

[tex]C=Price\hspace{3}of\hspace{3}the\hspace{3}shirt\nP=Price\hspace{3}of\hspace{3}the\hspace{3}pants\nT=Total\hspace{3}cost[/tex]

Now, let's write the data provided by the problem, using algebraic notation.

The total cost of the clothes is 20€, so:

P+C=T\n\nP+C=20

The price of the shirt is :

C=(2)/(5) P

Replacing this value into the first equation:

P+(2)/(5) P=20

Solving for P:

[tex](7)/(5) P=20\n\nP=(100)/(7) \approx 14.3[/tex]

So, the price of the pants is 14.3€ and the price of the shirt is:

[tex]C+14.3=20\n\nC=20-14.3=5.7[/tex].

Complete question :-

Vicente spends 20 euros on a pair of pants and a shirt. He doesn't know the price of each item, but he does know that the shirt costs two-fifths of what the pants cost. How much do the pants cost?

Which equation can be used to find the surface area of the cylinder?

A cylinder with a diameter of 6 centimeters and height of 14 centimeters.
S = 2 pi (14) squared + 2 pi (14) (6)
S = 2 (3) squared + 2 (3) (14)
S = 2 pi (6) squared + 2 pi (6) (14)
S = 2 pi (3) squared + 2 pi (3) (14)

Answers

Answer:

  S = 2 pi (3) squared + 2 pi (3) (14)

Step-by-step explanation:

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

  A = πr²

The cylinder has two circular bases with radius 3 cm, so their combined area in square centimeters is ...

  A = 2π(3²) . . . . . . matches a term in the last choice

__

The lateral area of the cylinder is the product of the height and the circumference of the base. That is ...

  A = 2πrh

For the given radius and height, the lateral area in square centimeters is ...

  A = 2π(3)(14) . . . . . . matches a term in the last choice

__

The total surface area is the sum of the areas of the bases and the lateral area, so is ...

  S = 2π(3²) +2π(3)(14) . . . . . matches the last choice

_____

Comment on answer choices

We could choose the correct answer based solely on the area of the bases of the cylinder.

Answer:

S = 2 pi (3) squared + 2 pi (3) (14)

Step-by-step explanation:

To pass science, a student must earn at least a grade of 70. How many failed this science class?

Answers

In order to pass the class kids must have a 70 or higher and looking at the graph only 5 kids did not pass the class.

can you plz help me on this?

Answers

Answer:

B 2x-31 = -2x-31

Step-by-step explanation:

A is exactly the same on the left side as the right so it has infinite solutions

B 2x-31 = -2x-31

 Add 2x on each side

2x+2x-31 = -2x+2x-31

4x -31 = 31

Add 31

4x =62

This has one solution

C 2x+31 = 2x-31

Subtract 2x from each side

31 = -31

This is never true so it has no solutions

D 2x-2 = 2x-31

Subtract 2x from each side

-2 = -31

This is never true so it has no solutions

Answer:

B)

Step-by-step explanation:

2x - 31 = -2x - 31

4x = 0

x = 0

x = 0 is the only solution

Which expression is equivalent to 5(c + d) + 2(c + d)?


Question 5 options:


7(c + d)



7 + (c + d)



7c + d



7 + 7d

Please I will give brainliest

Answers

Answer:

A) 7(c + d)

Step-by-step explanation:

5(c + d) + 2(c + d)

5c + 5d + 2c + 2d

7c + 7d

7(c + d)

Answer:

A

Step-by-step explanation:

Distribute the 5

5(c + d) + 2(c + d)

5*c+5*d  +2(c + d)

5c+5d +2(c + d)

Distribute the 2

5c+5d+ 2*c+2*d

5c+5d+2c+2d

Combine like terms (combine the ds and the cs)

5c+2c +5d+2d

7c+7d

A is equivalent to this answer

7(c + d)

Distribute the 7

7*c+7*d

7c+7d

So, A is the answer

The wheels on a car have a diameter of 28 inches. How many full
revolutions will the wheels need to make to travel 200 feet? Round to the
nearest whole number.
Remember 12 inches=1 foot.
8 revolutions

27 revolutions
88 revolutions
15 revolutions

Answers

Answer:

27

Step-by-step explanation

14 is the radius so multiply by pi to get 87.96

then turn 200 fee into in which is 2400in

and divide 2400 by 87.96

A terminating decimal is a decimal that​

Answers

Answer:A terminating decimal is a decimal that ends. It's a decimal with a finite number of digits

Step-by-step explanation:

Answer: A terminating decimal is a decimal that ends. It's a decimal with a fixed number of digits.

Explanation: A decimal numeral (also often just decimal or, less correctly, decimal number), refers generally to the notation of a number in the decimal numeral system. Decimals may sometimes be identified by a decimal separator (usually "." or "," as in 25.9703 or 3,1415). Decimal may also refer specifically to the digits after the decimal separator, such as in "3.14 is the approximation of π to two decimals". Zero-digits after a decimal separator serve the purpose of signifying the precision of a value.

The numbers that may be represented in the decimal system are the decimal fractions. That is, fractions of the form a/10n, where a is an integer, and n is a non-negative integer.

What expression represents the profit, and what is the profit
if 240 cell phones are sold?
O 40x – 30; $2,400
40x - 30; $9,570
O 70x + 50; $16, 850
O 70x + 50; $28,800

Answers

Answer:

C: 70x+50; $16,850

Step-by-step explanation:

I just took the test don’t fail :)

can you guys please help me with number 13 and with shown work

Answers

Answer:

Step-by-step explanation:

Let's solve for c.

6c−9d=111

Step 1: Add 9d to both sides.

6c−9d+9d=111+9d

6c=9d+111

Step 2: Divide both sides by 6.

6c

6

=

9d+111

6c=3/2 d+37/2

Answer:

c= 3/2 d+37/2

Second one

Let's solve for c.

5c−9d=103

Step 1: Add 9d to both sides.

5c−9d+9d=103+9d

5c=9d+103

Step 2: Divide both sides by 5.

5c

5

=

9d+103

5c =9/5 d+103/5

Answer:

c=8, d = -7

Step-by-step explanation:

6c - 9d = 111

5c - 9d = 103

Multiply the second equation by -1

-5c + 9d = -103

Add this to the first equation to eliminate d

6c - 9d = 111

-5c + 9d = -103

------------------------

c        = 8

Now we need to find 9

6c - 9d = 111

Substitute in c=8

6(8) -9d = 111

48 - 9d = 111

Subtract 48 from each side

49-48 -9d = 111-48

-9d =63

Divide each side by -9

-9d/-9 = 63/-9

d = -7

I need to go 1,373 miles but the plane travels at 575 miles per hour. how long would it take me to get to my destination?

Answers

Answer:2.38782608695652173913043478260869565217

Step-by-step explanation:

you divide 1373 by 575

find the length of the third side to the nearest tenth

Answers

Answer:

7.1

Step-by-step explanation:

You can use the Pythagorean Theorem to solve this:

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

All you need to do is plug in the numbers (in this case, they've already given you the hypotenuse, which is c in the formula, are you're solving for the leg).

[tex]7^{2} + b^{2} = 10^{2}[/tex]

49 + [tex]b^{2}[/tex] = 100

Subtract 49 from both sides:

49 + [tex]b^{2}[/tex] = 100

-49          -49

___________

[tex]b^{2}[/tex] = 51

Square root both sides:

[tex]\sqrt{b^2} = \sqrt{51}[/tex]

b = 7.14

b = 7.1

hey guys:) how can one solve this?

x⁴ - 2x + 2

please with an explanation​

Answers

Answer:

81x+2

Step-by-step explanation:

2x+x=3x

3×3×3×3=81x

Scott sets up a volleyball net in his backyard. One of the poles, which forms a right angle with the ground, is 12 feet high. To secure the pole, he attached a rope from the top of the pole to a stake 10 feet from the bottom of the pole. Find the length of the rope, rounded to the nearest tenth.

Answers

Answer:

Length of the rope = 15.6 ft.

Step-by-step explanation:

Given:

Height of the pole from the ground = 12 ft

Adjacent distance from the pole = 10 ft

We have to find the length of the rope attached by Scott to secure the pole.

According to the question :

In forma  right angled triangle as shown in the figure.

We have to find the measure of the hypotenuse.

Length of rope = Hypotenuse measure

Let the length of the rope = "h" ft

Using Pythagoras formula.

⇒ [tex](hypotenuse)=\sqrt{opposite^2+ adjacent^2}[/tex]

⇒ Plugging the values.

⇒ [tex]h=\sqrt{12^2 + 10^2}[/tex]

⇒ [tex]h=\sqrt{144 + 100}[/tex]

⇒ [tex]h=\sqrt{244}[/tex]

⇒ [tex]h=15.62[/tex] ft

The length of the rope, rounded to the nearest tenth is 15.6 ft.

Question Help A manufacturer ships toasters in cartons of 1010. In each​ carton, they estimate a 1010​% chance that any one of the toasters will need to be sent back for minor repairs. What is the probability that in a​ carton, there will be exactly 33 toasters that need​ repair?

Answers

Answer:

The probability that there will be repair exactly 3 toaster is 0.0574.

Step-by-step explanation:

Binomial Distribution:

A discrete random variable X having the set {0,1,2,3......,n} as the spectrum, is said have a binomial distribution with parameter n= number of trials and p=probability of number of success on an individual trial, if the p.m.f (probability mass function) of X given by,

[tex]P(X=x)=C(n,x)p^x(1-p)^{n-x}[/tex]    x=0,1,2,......,n

               =0                                   elsewhere

where 0<p<1 and n is a positive integer.

Total number of toaster in cartons(n) = 10.

Probability of number of success on an individual trial p= 10% = 0.10

[tex]\therefore P(X=3)= C(10,3)(0.10)^3(1-0.10)^{10-3}[/tex]

                    [tex]=\frac{10!}{3!(10-3)!}(0.10)^3)(0.90)^7[/tex]

                    =0.0574

The probability that there will be repair exactly 3 toaster is 0.0574.

6x-9=y
Y=-3x
I don’t understand this and need the answers to this equation

Answers

Answer:

It is one

Step-by-step explanation:

what’s the 2nd term in the sequence?

Answers

Answer:a fgbvffjnfv

Step-by-step explanation:

A yearbook company was investigating whether there is a significant difference between two states in the percents of high school students who order yearbooks. From a random sample of 150 students selected from one state, 70 had ordered a yearbook. From a random sample of 100 students selected from the other state, 65 had ordered a yearbook. Which of the following is the most appropriate method for analyzing the results?A. A one-sample zz-test for a sample proportionB. A one-sample zz-test for a population proportionC. A two-sample zz-test for a difference in sample proportionsD. A two-sample zz-test for a difference in population proportionsE. A two-sample zz-test for a population proportion

Answers

Answer:

D. A two-sample z-test for a difference in population proportions

Step-by-step explanation:

There are two samples, and we want to test for the difference between the proportions of two different populations.

Determine whether the sampling method described below appears to be sound or is flawed. In a survey of 540 ​subjects, each was asked how often he or she ate bananas. The survey subjects were internet users who responded to a question that was posted on a news website.a. It is flawed because it is a voluntary response sample.b. It apppears to be sound because the data are not biased in any way.c. It is flawed because it is not statistically significant.d. It is flawed because it is a census.

Answers

Answer:

a. It is flawed because it is a voluntary response sample

Step-by-step explanation:

Sampling method:

The process of selecting the samples from the population to conduct investigation is called sampling method. The sampling method must not be biased, meaning that the samples must be selected randomly.

In the given problem, 540 ​subjects were chosen for this survey. These subjects were internet users who responded to a question that was posted on a news website. This suggests that the subjects volunteered for the survey so that means their selection was not random at all, therefore, the sampling method is flawed because it is a voluntary response sample.

Note: A voluntary response sample is a sample where subjects decide themselves whether to be a participate in the survey or not.

The sampling method is flawed because it is a voluntary response sample, potentially leading to bias as it relies on self-selected internet users. The correct option is a.

The sampling method described in the survey appears to be flawed because it is a voluntary response sample, making option (a) the correct choice.

In this survey, the participants are self-selecting internet users who chose to respond to a question on a news website. This type of sampling is known as a voluntary response sample. It is flawed because it introduces bias into the data. Those who voluntarily respond may not represent the broader population accurately. People who eat bananas regularly or have strong opinions about bananas may be more likely to respond, leading to an overrepresentation of certain groups and potentially skewing the results.

Statistical significance (option c) and being a census (option d) are not the primary issues in this case. Statistical significance depends on the sample size and how well it represents the population, and a census surveys the entire population, which is not the case here.

In summary, the sampling method used in this survey is flawed because it relies on voluntary responses and may not provide a representative view of the population's banana-eating habits.

The correct option is a. It is flawed because it is a voluntary response sample.

For more such questions on sample

https://brainly.com/question/29368683

#SPJ3

Complete question below :

What is the soundness of the sampling method used in the survey described below?

In a survey of 540 subjects, each was asked how often he or she ate bananas. The survey subjects were internet users who responded to a question that was posted on a news website.

a. It is flawed because it is a voluntary response sample.

b. It appears to be sound because the data are not biased in any way.

c. It is flawed because it is not statistically significant.

d. It is flawed because it is a census.

Other Questions
What bodie is outside the solar system Find the GCF of 10 and 35.A: 3B: 4C: 5D: 6i will give brainliest hi what is 9times 30 divided by 9 What are some of the phenotypic plant traits that scientists are investigating? Why do you think these traits were chosen? Silvia has developed a working thesis and collected a large amount of information related to it for her research paper. what is the most useful next step the in the writing process for silvia __________ score allows a researcher to compare scores across different scales.A.rawB.distributedC.standardD.deviated An individual sustained a closed head injury in a rock climbing accident. In the ER the RN elevates the head of the bed at 30 degrees and keeps his head in a straight position. What is the physiologic rationale for the positioning? What happens when you hear or see a strong speech? What about the opposite? How does the quality of the speech affect how you feel about the message? I will give who ever answers this brainliest but it has to be right Shore Co. sells two products, kayaks and motors. Last year, Shore sold 12,600 units of kayaks and 23,400 units of motors. Related data are as follows: Product Unit Selling Price Unit Variable Cost Unit Contribution Margin Kayaks $120 $80 $40 Motors 80 60 20 Assuming that last year's fixed costs totaled $910,035, what was Shore Co.'s break-even point in units To make a 4.00 M solution, how many moles of solute will be needed if 12.0 liters of solution are required? A: 6 molB: 12 molC: 48 molD: 120 mol What is the best way to combine two sentences from the passage? A. It also features her mom, dad, and older brother, her best friends are Bernice and Delta. B. Another topic discussed in the strip was the sometimes deadly consequences of underage drinking, however, Luann and her friends start a school chapter of Students Against Drunk Driving (SADD) as a result. C. One of Luann's best friends, Delta, has a kind of cancer called Hodgkins Lymphoma and another topic discussed was the consequences of underage drinking. D. Gunther is a nerdy boy who has the biggest crush on Luann, but she only has eyes for the most popular boy in schoolAaron Hill. As a teacher, Richard wants his students to think rationally and rigorously. He feels that he should prepare his brightest students for future leadership and responsibility, while providing vocational training to the rest of the students. Richard's approach to education is indicative of _____. The process of hydrogen bonding involves hydrogen atoms bonding with blankA. Either oxygen, carbon, or siliconB. Either nitrogen, Boron, or hydrogenC. Either fluorine, oxygen, it nitrogenD. Either fluorine, hydrogen, or sodium In the essay, the narrator knows that he shouldnt kill the elephant, but does so anyway. Why does he do this? Describe a time when you knew something was wrong, but you did it anyway. What was the motivation behind your actions? The owner of a small but thriving software company decides to sell her business and devote herself to meditation and spiritual awakening. According to Webers theory of religion and commerce, which religious tradition does this decision represent? A 2.05 kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0390 m. The spring has force constant 830 N/m. The coefficient of kinetic friction between the floor and the block is 0.380. The block and spring are released from rest and the block slides along the floor.What is the speed of the block when it has moved a distance of 0.0200 m from its initial position? How is Mary able to get rid of the evidence(the murder weapon)? What is ironic (unexpected) about the manner in which she disposes of the weapon? What is an example of a key difference between DNA and RNA In line 1-6 what honors does the narrator suggest for Mr.Perfect