Of the last 24 balloons sold at a party store 6 were white. Find the experimental probability that the next balloon sold will be white.

Answers

Answer 1
Answer:

Answer: 1 out of 4

Step-by-step explanation:

If you divided the total amount of balloons that were sold by the amount of white balloons, it would be 4. The 1 comes from 1 in 4 being the probability of them being white. You can check this by multiplying the 1 and 4 by 6 and it would be 6 out of 24, which shows our answer is correct.

Answer 2
Answer:

Answer:4/15 i'm doing it and that was the answer

Step-by-step explanation:


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Solve: the quantity 3x minus 15 divided by 2 = 4x

Answers

Answer:

x=-3

Step-by-step explanation:

(3x-15)/2 = 4x

Multiply each side by 2

(3x-15)/2 *2= 4x*2

3x-15 = 8x

Subtract 3x from each side

3x-15-3x = 8x-3x

-15 = 5x

Divide each side by 5

-15/5 = 5x/5

-3 =x

Answer:

X=-3

Step-by-step explanation:

The cost of advertising in a local paper for one week is:28 cents per word plus 75 cents
a) What is the cost of an advertisement of 15 words for one week?
b) What is the greatest number of words in an advertisement costing up to $8 for one week?
c) If an advertisement is run for two weeks, the cost for the second week is reduced by 30%. Calculate the total cost for an advertisement of 22 words for two weeks.

Answers

Answer:

a) 495 cents

b) 25 words

c) 1174.7 cents

Step-by-step explanation:

a) The cost is equal to 28 x 15 + 75 which equals 420 + 75 which equals 495 cents.

b) (800 cents - 75) divided by 28

= 725 / 28

= 25.9

Since you cannot have 0.9 of a word it is rounded down to 25.

c) 22 words in the first week will cost 22 x 28 + 75 = 616 + 75 = 691 cents

In the second week it will cost 30% less which means it will only cost 70% of the ordinary price. Therefore the second week will cost:

0.7 x 691 = 483.7 cents

Total = 483.7 + 691

        = 1174.7 cents

Hope this helps :)

50 points!!What are the factors of the following polynomial: x^2−x−56
Do not include any spaces in your answer. Use parentheses to separate your factors. A sample answer might be (x+1)(x-4).

Answers

Answer:

(x-8) (x+7)

Step-by-step explanation:

x^2 -x-56

We want to factor this problem.

What two numbers multiply to negative 56 and add to -1

-8 *7 = -56

-8+7 = -1

We can use -8 and 7

(x-8) (x+7)

Check:

FOIL

first: x*x =x^2

outer: 7x

inner:-8x

last: -8*7 = -56

Add this together

x^2 +7x-8x -56 = x^2 -x-56

Evaluate
4(x+3)(x+1)/(x+5)(x-5) x=3

Answers

The value of the given expression will be equal to -3.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The solution to the expression is:-

=  4(  x  +  3  ) (  x + 1  )  /  (  x  +  5  )  (  x  -  5  )

=  4(  3 +  3  ) (  3  + 1  )  /  (  3  +  5  )  (  3  -  5  )

=  (  4  x  6  x  4 )  /  (  8  x   -2  )

=  -3

Therefore the value of the given expression will be equal to -3.

To know more about Expression follow

brainly.com/question/723406

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Sketch the region R defined by 1 ≤ x ≤ 2 and 0 ≤ y ≤ 1/x^3 .a. Find (exactly) the number a such that the line x = a divides R into two parts of equal area.
b. Then find (to 3 decimal places) the number b such that the line y = b divides R into two parts of equal area.

Answers

For part (a), you're looking to find a such that

\displaystyle\int_1^a(\mathrm dx)/(x^3)=\int_a^2(\mathrm dx)/(x^3)

You have

\displaystyle\int_1^a(\mathrm dx)/(x^3)=-\frac1{2x^2}\bigg|_(x=1)^(x=a)=-\frac12\left(\frac1{a^2}-1\right)

and

\displaystyle\int_a^2(\mathrm dx)/(x^3)=-\frac1{2x^2}\bigg|_(x=a)^(x=2)=-\frac12\left(\frac14-\frac1{a^2}\right)

Setting these equal, you get

\displaystyle-\frac12\left(\frac1{a^2}-1\right)=-\frac12\left(\frac14-\frac1{a^2}\right)\implies a=2√(\frac25)

For part (b), you have

y=\frac1{x^3}\implies x=\frac1{\sqrt[3]y}

and you want to find b such that

\displaystyle\int_0^(1/8)\mathrm dy+\int_(1/8)^b(\mathrm dy)/(\sqrt[3]y)=\int_b^1(\mathrm dy)/(\sqrt[3]y)

You have

\displaystyle\int_0^(1/8)\mathrm dy+\int_(1/8)^b(\mathrm dy)/(y^(1/3))=\frac18+\frac32y^(2/3)\bigg|_(y=1/8)^(y=b)=-frac14+\frac32b^(2/3)

and

\displaystyle\int_b^1(\mathrm dy)/(y^(1/3))=\frac32y^(2/3)\bigg|_(y=b)^(y=1)=\frac32-\frac32b^(2/3)

Setting them equal gives

-\frac14+\frac32b^(2/3)=\frac32-\frac32b^(2/3)\implies b=\frac7{24}√(\frac73)\approx0.446

Gas prices went up this week from $4.00 a gallon to $4.20. What is the percent increase of the price?

Answers

Answer:5%  increase

Step-by-step explanation: