What is the measure of

3 + 7 + 5 = 15 total marbles.

3 red, picking a red would be 3/15, reduced to 1/5

5 blue, picking a blue would be 5/15, reduced to 1/3

7 white, picking a white would be 7/15

Picking all 3 would be: 1/5 x 1/3 x 7/15 = 7/225

Answer:

7/225

Step-by-step explanation:

To find probability, we take the number of ways the specific event can occur and divide it by the number of ways any event can occur.

The probability of drawing a red marble is: (# of red marbles) / (total # of marbles) = 3/(3 + 7 + 5) = 3/15 = 1/5.

The probability of drawing a blue marble is: (# of blue marbles) / (total # of marbles) = 5/(3 + 7 + 5) = 5/15 = 1/3.

The probability of drawing a white marble is: (# of white marbles) / (total # of marbles) = 7/(3 + 7 + 5) = 7/15.

Now, we want these events to all occur for us. So, we must multiply them by each other: (1/5) * (1/3) * (7/15) = 7/225.

Thus, the probability is 7/225.

Hope this helps!

Answer:

54

Step-by-step explanation:

multiply 9 x 6 to get the answer above

The area of the picture frame, after subtracting the area of the displayed picture, is 30 square inches.

To find the area of the picture frame, we need to subtract the area of the picture it displays from the area of the entire frame.

The area of the entire frame can be calculated by multiplying its length by its width:

[tex]\[ \text{Area of frame} = \text{Length} \times \text{Width} \][/tex]

Given that the frame is 9 inches long and 6 inches wide:

[tex]\[ \text{Area of frame} = 9 \times 6 = 54 \text{ square inches} \][/tex]

Now, we need to subtract the area of the picture it displays. Since the picture is 6 inches long and 4 inches wide:

[tex]\[ \text{Area of picture} = \text{Length} \times \text{Width} = 6 \times 4 = 24 \text{ square inches} \][/tex]

So, the area of the picture frame is:

[tex]\[ \text{Area of frame} - \text{Area of picture} = 54 - 24 = 30 \text{ square inches} \][/tex]

Therefore, the area of the picture frame is 30 square inches.

Answer:

Step-by-step explanation:

Answer:

82.5

Step-by-step explanation:

I'm assuming you have to find the area of the triangle to find out how much cardboard she needs so you need the formula:

A =[tex]\frac{1}{2}[/tex]bh

A =[tex]\frac{1}{2}[/tex] 11 x 15

A =[tex]\frac{1}{2}[/tex] 165

A = 82.5

Sorry if its wrong

Answer:

52 square feet

Step-by-step explanation:

We are given that

Length,l=6 feet

Width,b=[tex]1\frac{1}{3}=\frac{4}{3}[/tex] feet

Depth,h=3 feet

Area of all painted sides  except bottom=[tex]lb+2(bh+hl)[/tex]

Using the formula

Area of all painted sides  except bottom=[tex]6\times \frac{4}{3}+2(\frac{4}{3}\times 3+3\times 6)[/tex]

Area of all painted sides  except bottom=[tex]8+2(4+18)[/tex]

Area of all painted sides  except bottom=[tex]8+44[/tex]

Area of all painted sides  except bottom=52 square feet

Answer:

The correct answer is C! I just got it right:)

Answer:

Coordinate D would be (1,3)

Step-by-step explanation:

The difference between B and C is 2 up and 3 right, so that means the difference between A and D would be the same

D = -2+3, 1+2

D = 1, 3

Answer:

180 calendars  

Step-by-step explanation:

Given that in one workday he can make 4 calendars

Nine weeks (working five days per week)

=> the total number of days he works is: 9*5 = 45 days

=> the  total number of calendars he can make in nine weeks is:

the total number of days he works * the number of calendars he make in one day

= 45* 4 = 180 calendars  

Hope it will find you well.

Answer:

False.

Step-by-step explanation:

All the sides of an equilateral triangle are equal.

None of the sides of a scalene triangle are equal to each other.

Therefore, an equilateral triangle is not similar to a scalene triangle.

Answer:

Square

Step-by-step explanation:

If its 4 sided and two measures are 90 degrees then that means the other two must be 90 degrees. That means its a square or a rectangle. Now since the 4 sides arent all the same and two sides being 6 and two sides being 5, you can rule out it being a square.

Answer:

( C ) "none above"

Step-by-step explanation:

first you start by combining like terms

-2y-8+4y-2y-8+4y

-8+2y-2y-8+4y

-16+4y or 4y-16 would be the max simplification!

hope that helps  

Answer:

x= -3,-9

Step-by-step explanation:

Answer: 9,3

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

Solution:-

- The demand function of a certain brand is given as price P a function of x quantity of goods ( in hundred ) demanded per month. The relation is:

                           P ( x ) = 50 Ln ( 50 / x ).

- The point price elasticity ( E ) of demand is given by:

                           [tex]E = \frac{P}{x}*\frac{dP}{dx}[/tex]  

- Where, dP / dx : is the rate of change of price ( P ) with each hundred unit of good ( x ) is demanded.

- To determine the " dP / dx " by taking the first derivative of the given relation:

                          P ( x ) = 50 Ln ( 50 / x ).

                          d P ( x ) / dx = [ 50*x / 50 ] * [ -1*50 / x^2 ]

                                              = - 50 / x

- Hence the point price elasticity of demand is given by:

                          E = - ( P / x ) * ( 50 / x )

                          E = -50*P / x^2    

- For an inelastic demand, ! E ! is < 1:

                          ! -50*P / x^2 ! < 1

                          50*P / x^2 < 1

                          P < x^2 / 50

- For an unitary demand, ! E ! is =  1:

                          ! -50*P / x^2 !  = 1

                          50*P / x^2 = 1

                          P = x^2 / 50

- For an inelastic demand, ! E ! is > 1:

                          ! -50*P / x^2 ! > 1

                          50*P / x^2 > 1

                          P > x^2 / 50

2)

If the unit price is increased slightly from $50, will the revenue increase or decrease?

- We see from the calculated demand sensitivity d P / dt:

                          d P ( x ) / dx = - 50 / x

- We see that as P increases the from P = $50, the quantity of goods demanded would be:

                          50 = 50 ln(50/x)

                           1 = Ln ( 50 / x )

                           50/x = e

                           x = 50 / e

Then,

                          d P ( x ) / dx = - 50 / ( 50 / e )

                          d P ( x ) / dx = - e

- We see that if price slightly increases from $ 50 then the quantity demanded would decrease by e (hundreds ) goods.

- The decrease in the quantity demanded is higher than the increase in price. The revenue is given by the product of price P ( x ) and x:

                Revenue R ( x ) = P ( x ) * x

                                = 50*x*ln(50/x)

Then the product of price and quantity goods also decreases; hence, revenue decreases.

Answer:

D: C = 4π

Step-by-step explanation:

The formula for circumference is C = 2πr

The diameter is 4 which means the radius is 2.

Plug the value of r into the formula.

C = 2π2

C = 4π

D: C = 4π

Answer:

Is the surface a rectangle?? If so, then the surface area would be 35

Step-by-step explanation:

5 * 7 = 35

Hope this helped!!  :)

Answer:

35 inches

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

To solve, we need to isolate the variable, x

5x-18=2(3x-12) +4

Distribute the 2

5x-18=2*3x + 2*-12 +4

5x-18=6x-24+4

Combine like terms (add -24 and 4)

5x-18=6x-20

Add 18 to both sides

5x=6x-2

Subtract 6x from both sides

-x=-2

Divide both sides by -1

x=2

Answer: [tex]x=2[/tex]

Step-by-step explanation:

1. Get rid of the parenthesis. You can do this by multiplying.

[tex]5x-18=2(3x-12)+4[/tex]

[tex]5x-18=6x-24+4[/tex]

2. Move the variables to the left and the numbers to the right. If one of the numbers is not on its side (left or right) and you need to move it, change the sign.

[tex]5x-6x=-24+4+18[/tex]

Solve: Since the result is -1 and we have a variable, we can omit it.

[tex]-x=-24+22[/tex]

[tex]-x=-2[/tex]

Divide both sides by -1 to isolate the x

[tex]\frac{-(1)x}{-1} =\frac{-2}{-1}[/tex]

Solve:

[tex]x=2[/tex]

3. Proof: Replace the result in the original equation and both sides should be equal. (this step is for you to make sure that your answer is correct.

[tex]5x-18=2(3x-12)+4[/tex]

[tex]5(2)-18=2[3(2)-12]+4[/tex]

[tex]10-18=2(6-12)+4[/tex]

[tex]-8=2(-6)+4[/tex]

[tex]-8=-12+4[/tex]

[tex]-8=-8[/tex]

As you can see, both sides are equal to each other; which proves that [tex]x=2[/tex] is correct.

Answer:

70°

Step-by-step explanation:

Minor angle at the centre:

360 - 250 = 110

Two tangents make an angle of 90° each

90 + 90 + 110 + x = 360

x = 360 - 290

x = 70°

Answer:

D

Step-by-step explanation:

The outcomes of events. A and B are dependent on each other.

The question relates to probability in Mathematics, specifically the probability of selecting a red (event A) or a mystery novel (event B) from Chloe's bookshelf. Both probabilities are 7/10 as 7 out of 10 books are red or mysteries. The probability of both A and B occurring simultaneously is 5/10, as 5 out of 10 of the books are red mysteries.

The subject of this question is the calculation of probabilities in Mathematics. Here we have two events: event A, defined as selecting a red book, and event B, defined as selecting a mystery novel. Considering Chloe's bookshelf, she has 7 red books out of a total of 10, meaning that the probability of event A is 7/10. In addition, she has 7 mystery novels out of a total of 10 books, meaning that the probability of event B is 7/10 also.

It can be said that both events A and B are independent, because the colour of the book does not affect what genre it is. Also, it's worth mentioning that the likelihood of both A and B occurring, meaning the selection of a red mystery novel is (5/10) as 5 out of 10 books are red and mysteries.

https://brainly.com/question/22962752

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Answer:

Cathy is asked to find the length of AC. She could use the Pythagorean Theorem and AC^2 = 3^2 + 2^2. What other formula could she use?

A) (0 + 3)^2 - (1 + 3)^2

B) (0 + 1)^2 - (3 + 3)^2

C) (0 - 3)^2 + (1 - 3)^2

D) (0 - 1)^2 + (3 - 3)^2

Option C is the right choice.

Step-by-step explanation:

Given:

Cathy have used Pythagoras formula to find the hypotenuse.

Hypotenuse of the right angled triangle = AC

We know that:

In right angled triangle:

Hypotenuse square (h)^2 = Square of one side (p)^ + Square of another sides (b)^

⇒ [tex]h^2=p^2+b^2[/tex]

In Cathy's calculation:

⇒ [tex]AC^2=3^2+2^2[/tex]

⇒ [tex]AC^2=9+4[/tex]

⇒ [tex]AC^2=13[/tex]

We have to look for another equation.

Lets see the options individually.

A. [tex]AC^2=(0 + 3)^2 - (1 + 3)^2= 9-16 = 7[/tex]

B. [tex]AC^2=(0 + 1)^2 - (3 + 3)^2=1-0 =1[/tex]

C. [tex]AC^2=(0 - 3)^2 + (1 - 3)^2 =9+4=13[/tex]

D. [tex]AC^2=(0 - 1)^2 + (3 - 3)^2=1+0 =1[/tex]

So,

The other formula Cathy can use is, C i.e. (0 - 3)^2 + (1 - 3)^2 .

Option C is the right choice.

The correct answer is option  C) (0 - 3) + (1 - 3)

If AC is the hypotenuse, and the lengths of the other two sides are 3 and 2, then AC = 3 + 2.

 However, Cathy can also use the distance formula, which is derived from the Pythagorean Theorem. The distance formula calculates the distance between two points in a coordinate plane. If we have two points (x1, y1) and (x2, y2), the distance d between these points is given by:

d = (x2 - x1) + (y2 - y1)

Given that one endpoint of AC, let's call it A, is at (0, 3) and the other endpoint, let's call it C, is at (1, -3), we can apply the distance formula to find AC:

AC = (1 - 0) + (-3 - 3)

AC = (1) + (-6)

AC = 1 + 36

AC = 37

Therefore, the length of AC is the square root of 37, which is 37.

Let's evaluate the other options to see why they are incorrect:

A) (0 + 3) - (1 + 3): This formula would calculate the difference between the squares of the distances from the origin to two points, which does not correspond to the distance between two points.

B) (0 + 1) - (3 + 3): Similar to option A, this formula calculates the difference between the squares of the distances from the origin to two points, which is not the correct application of the Pythagorean Theorem for finding the distance between two points.

D) (0 - 1) + (3 - 3): This formula incorrectly calculates the distance by subtracting the y-coordinates instead of the x-coordinates and does not account for the difference in x-coordinates properly.

Thus, the correct formula to use, other than the direct application of the Pythagorean Theorem, is the distance formula, which in this case is option C) (0 - 3) + (1 - 3).

Answer:

x = -1

y = 2

Step-by-step explanation:

6x + 5y = 4

6x - 7y = -20

__________ -

____12y = 24

______y = 24/12

______y = 2

6x + 5y = 4

6x + 5(2) = 4

6x + 10 = 4

6x = 4 - 10

6x = -6

x = -6/6

x = -1

Make as the brainliest answer

Answer:

x = -1

y = 2

Step-by-step explanation:

6x + 5y = 4

6x - 7y = -20

____________--

12y = 24

y = 24/12

y = 2

6x + 5y = 4 | ×7 |

6x - 7y = -20 | ×5 |

42x + 35y = 28

30x - 35y = -100

______________+

72x = -72

x = -72/72

x = -1

Answer:

The parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12 pounds

Standard Deviation, σ = 3.5 pounds

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

We have to find the value of x such that the probability is 0.99

[tex]P( X < x) = P( z < \displaystyle\frac{x - 12}{3.5})=0.99[/tex]  

Calculation the value from standard normal z table, we have,  

[tex]\displaystyle\frac{x - 12}{3.5} = 2.326\\\\x = 20.141\approx 20.14[/tex]  

Thus, parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.

Answer:

The Correct answer:

$799.06

Final answer:

To find out how much Andy will have in his account after 10 years with a 4.8% interest compounded continuously, we use the formula A = Pe^{rt}. Substituting the values, we find that the amount will be approximately $808.85.

Explanation:

To calculate how much Andy will have in his account in 10 years with an initial investment of $500 at a 4.8% interest rate compounded continuously, we use the formula for continuous compounding, which is A = Pert, where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate (decimal), and t is the time in years.

Using the given values:

P = $500

r = 4.8% or 0.048

 t = 10 years

Let's compute the final amount:

A = 500 * e^0.048 * 10

Now we calculate the exponent:

e^0.48 (approximately 1.6177)

And then the final amount:

A = 500 * 1.6177 ≈ $808.85

After 10 years, the amount in Andy's account, compounded continuously at a rate of 4.8%, will be approximately $808.85.

Answer:

y = 3x - 1

Step-by-step explanation:

The slope of this line is 3x and the y-intercept is -1.

I graphed the equation and the point along with the new equation below.

If this answer is correct, please make me Brainliest!

Answer:

5:15

Step-by-step explanation:

Split the 30 mins in half. 45+15 = 60 (a new hour) Now, its 5:00. Add 15 and you get the answer.

Answer:

Step-by-step explanatio

Answer:

1/3 or 3/6 they are the same thing

Step-by-step explanation:

Answer:

The probability of rolling an odd number is 5/6

Step-by-step explanation:

probability: desired/all

Let's find the possible outcomes of rolling odd.

1,3,5 are all odd. We have 3 outcomes.

Now find the possible outcome of a power of 2.

2 is

2

1

, 4 is

2

2

. We have 2 DIFFERENT outcomes.

(If these outcomes overlapped, we would have to subtract to get unique outcomes. In this case, these outcomes are different)

Now, we find the total number of possible outcomes.

A dice has 6 different outcomes.

Now add up the desired outcomes,

3 + 2 = 5

and so the probability is

5/6

Answer:

The correct answer is the solution of the system of equations are w = 10 and m = -8. The answer is not at all reasonable.

Step-by-step explanation:

The two system of equations are m + 2w = 12 and m + 3w = 22 where m and w represent the number of men and women working in an office.

We subtract both the sides with each other in order to solve the system of equation.

⇒ m + 3w - m - 2w = 22 - 12

⇒ w = 10.

⇒ m = -8.

The values of w and m are not reasonable at all. Since m and w represent the number of men and women in an office, they cannot be less than zero.

Answer:

7.5 gallons

Step-by-step explanation:

Given:

The Thomas family went for a Sunday drive.

Before they left, Mr. Thomas noticed the gas tank was ¾ full.

When they returned home the gas tank was ⅓ full.

Total capacity of the gas tank = 18 gallons

Question asked:

How many gallons of gas did the car use on the drive?

Solution:

Before they left, quantity of gas in the tank = [tex]\frac{3}{4} \times18=\frac{54}{4} =13.5\ gallons[/tex]

When they returned, quantity of gas in the tank = [tex]\frac{1}{3} \times18=\frac{18}{3} =6\ gallons[/tex]

Quantity of gas used on the drive = 13.5 - 6 = 7.5 gallons

Therefore, 7.5 gallons of gas used on the drive by Thomas family.

The television station can show 1 full 45-second commercial during the 13/12 minutes of advertising time allocated each hour.

The question involves calculating how many 45-second commercials can be shown during the 13/12 minutes of advertising time allocated by a television station each hour. To solve this, we first need to convert the minutes to seconds and then divide by the length of one commercial.

13/12 minutes is equal to 13/12 × 60 seconds, which gives us 65 seconds of advertising time per hour. One commercial is 45 seconds long. Therefore, the number of 45-second commercials that can be shown is 65 divided by 45.

Divide the total advertising seconds by the duration of one commercial: 65 / 45 = approximately 1.44.

Since we cannot show a fraction of a commercial, the television station can show 1 full 45-second commercial per hour.