A bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is 2 over 25 . How many blue marbles are in the bag?

Answers

Answer 1

Given:

Total number of marbles = 15

Probability of randomly selecting a green marble = [tex]\dfrac{1}{5}[/tex].

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble = [tex]\dfrac{2}{25}[/tex].

To find:

The number of blue marbles.

Solution:

Let the number of blue marbles be x.

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]P(Blue)=\dfrac{x}{15}[/tex]

It is given that,

[tex]P(Green)=\dfrac{1}{5}[/tex]

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is [tex]\dfrac{2}{25}[/tex]. So,

[tex]P(Green)\times P(Blue)=\dfrac{2}{25}[/tex]

[tex]\dfrac{1}{5}\times \dfrac{x}{15}=\dfrac{2}{25}[/tex]

[tex]\dfrac{x}{75}=\dfrac{2}{25}[/tex]

Multiply both sides by 75.

[tex]\dfrac{x}{75}\times 75=\dfrac{2}{25}\times 75[/tex]

[tex]x=2\times 3[/tex]

[tex]x=6[/tex]

Therefore, the number of blue marbles in the bag is 6.


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Answer:

1296m^2

Step-by-step explanation:

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Answer:

21 yard line

Step-by-step explanation:

Ok we start out on the 20 yard line, we need to add the yards together.

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20+6=26

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Answer:

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Step-by-step explanation:

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Calculate 39 × 63 + 39 × 37

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Answers

Answer:

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Step-by-step explanation:

Not really sure how to explain this one.

Factor 125q^6 − r^6s^3.

Answers

Answer:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)

Step-by-step explanation:

Factor the following:

125 q^6 - r^6 s^3

Hint: | Express 125 q^6 - r^6 s^3 as a difference of cubes.

125 q^6 - r^6 s^3 = (5 q^2)^3 - (r^2 s)^3:

(5 q^2)^3 - (r^2 s)^3

Hint: | Factor the difference of two cubes.

Factor the difference of two cubes. (5 q^2)^3 - (r^2 s)^3 = (5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2):

(5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Distribute exponents over products in (5 q^2)^2.

Multiply each exponent in 5 q^2 by 2:

(5 q^2 - r^2 s) (5^2 q^(2×2) + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Multiply 2 and 2 together.

2×2 = 4:

(5 q^2 - r^2 s) (5^2 q^4 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Evaluate 5^2.

5^2 = 25:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Distribute exponents over products in (r^2 s)^2.

Multiply each exponent in r^2 s by 2:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^(2×2) s^2)

Hint: | Multiply 2 and 2 together.

2×2 = 4:

Answer: (5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)

A playgroup class has 80 students, and 20 teachers.
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SIMPLIFY THIS RATION DOWN>

Answers

Answer: 4:1

Step-by-step explanation:

Divide by two to get in simplest form.

80 ÷ 2 = 40

20 ÷ 2 = 10

Make a ration with 40 and 10.

40:10

Make 40:10 simpler by dividing by 10.

40 ÷ 10 = 4

10 ÷ 10 = 1

Make 4 and 1 into a ration.

4:1

Answer:

4 : 1

Step-by-step explanation:

Given the ratio

80 : 20 ← divide both parts by 20

= 4 : 1 ← in simplest form

1.

p: you pass the class

q: you go to the next grade

p -> ~q:_______________________________



~p->~q:_______________________________

Answers

Answer:

P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.

Step-by-step explanation:

In order to got to the next grade, you need to pass the class.

or

If you pass the class, you go to the next grade.

A triangle has sides with lengths of 7 millimeters, 8 millimeters, and 10 millimeters. Is it a
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Answers

Answer:

Depends if you are averaging C or not.

Step-by-step explanation:

Use the pythagorean theorem to solve this.

c = √a^2 + b^2

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Answers

Answer:

The number that she will substitute is 7

Step-by-step explanation:

Mathematically, simple interest can be calculated using the formula ;

S.I = PRT/100

where P is the principal which is the amount invested = $12,876

T is the time which is 3 years

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Answer:

Answer:

The number that she will substitute is 7

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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You will need to explain what z is or put the image of the question so we can help you

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Answers

Answer:

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Step-by-step explanation:

Sales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150?

Answers

Answer:

$160.50

Step-by-step explanation:

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You add the values to get $160.50

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What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that Sales tax is calculated as a percentage of the sales price.

sales tax is 7%

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0.07×150

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Answers

Answer:

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Step-by-step explanation:

For a table to represent a function the x value has to be different number. Such as, the other tables one has two -5, two -2, two -4 and etc. Do you get it

Answer: the first box

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Step-by-step explanation:  the x value can not repet it self but the y value can

15 points!!!
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Answers

Answer:

x ≥ [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given equation:

     4x² -20x + 25≥0​

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   factorize;

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The legend on a map states that 1 cm is 50 km. If you measure 7 cm on the map, how many kilometers would the actual distance be?​

Answers

Answer:

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Step-by-step explanation:

The legend states that 1 cm = 50 km

So if you do 7cm times 50

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Part: 2

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(3, 4)

Answers

Answer:

Part 1:

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Part 2:

R’ = (-3, -4)

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is y=5x proportional or non proprtional.

Answers

Answer:

Yes, y=5x is proportional. Hope this helps!

y=5x is proportional

What is the equation of this line?
Y= 2x - 3
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Answers

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Step-by-step explanation:

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Determining the Value of the Slope from a Table
A 2-column table with 5 rows. Column 1 is labeled x with entries 1000, 1000, 1000, 1000, 1000. Column 2 is labeled y with entries 20, 23, 26, 29, 32.

What can you conclude about the slope of the values in the table? Check all that apply.
The slope is 3.
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The slope is undefined.
The graph will be a horizontal line.
The graph will be a vertical line.
The graph will have a line with a positive slope.

Answers

Answer:

3 and 5

Step-by-step explanation:

Hope this helped :)

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Answer:

here is the answer

Step-by-step explanation:

Point Q' is the image of (-5,1) under a translation by 6 units to the right and 2 units down

Answers

Answer:

The object coordinate Q is (-11,3 )

Step-by-step explanation:

The translation is given as : ( 6,-2 )

The image coordinates for Q' is ( -5,1 )

So, to get the coordinates of object point Q (x,y), will be;

 Q (x,y)  + ( 6,-2 )---translation --------------⇒image Q' ( -5,1 )

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x+6 = -5

x= -5-6= -11

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4(2x-3)=52
Solve please sends fast

Answers

Answer:

[tex]\boxed {x = 8}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]4(2x - 3) = 52[/tex]

-Divide both sides by [tex]4[/tex]:

[tex]2x - 3 = \frac{54}{4}[/tex]

[tex]2x - 3 = 13[/tex]

-Add both sides by [tex]3[/tex]:

[tex]2x - 3 + 3 = 13 + 3[/tex]

[tex]2x = 16[/tex]

-Then, divide both sides by [tex]2[/tex]:

[tex]\frac{2x}{2} = \frac{16}{2}[/tex]

[tex]\boxed {x = 8}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]8[/tex].

Chris is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is

10 1/2 inches long, how many pieces can he make?

Answers

Answer:

5.25

Step-by-step explanation:

According to.the order of operation, which of the following operations should be completed first in the following expression 2(5-3)^3+6^2

Answers

Answer:

Step-by-step explanation:

PEDMAS

P - Parenthesis

E - Exponents

D - Division

M - Multiplication

A - Addition

So, 2(5-3)^3+6^2  

5 - 3 should be completed first as it is inside parenthesis

2(5-3)^3+6^2 = 2 *2^3 + 6^2

                     = 2 * 8 + 36            {exponents}

                     = 16 + 36              {Multiplication}

                    = 52

helpp ill mark u as brainlist​

Answers

Answer:

Proportional graph

Step-by-step explanation:

It is proportional because as the x increases, the y also increases. It maintains the same rate of change.

Answer:

non pro becuase it dont pass the origin

Step-by-step explanation:

how would a one-fifth in numbers be?​

Answers

It’s in many different forms:20 or .20 or 20%

On Monday at 1 p.M., when the ocean's surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean's surface. At 7 p.M. When the ocean's surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean's surface.What was the distance between the deck and the ocean's surface at 1 p.M.?

Answers

Answer:

5.4 feet

Step-by-step explanation:

Let the reference line [tex]A_0B_0[/tex] represents the sea level without any elevation.

At 1 P.M. the ocean surface was at an elevation of 2.2 feet along the line [tex]A_1B_1[/tex] in the figure and the surf shop was  8.2 feet above of this elevated ocean's surface along the line [tex]A_2B_2[/tex] in the figure.

Similarly, at 7 P.M. the ocean surface was at an elevation of -2.4 feet along the line [tex]A_3B_3[/tex] in the figure and the deck in the restaurant was  8.2 feet above of this elevated ocean's surface along the line [tex]A_4B_4[/tex] in the figure.

From the figure, the distance between the deck and the ocean's surface at 1 P.M.= The distance between the lines [tex]A_1B_1[/tex] and [tex]A_4B_4[/tex].

[tex]d= 10- (d_1+d_2)[/tex]

[tex]=10-(2.2+2.4)[/tex]

=5.4 feet

Hence, the distance between the deck and the ocean's surface at 1 P.M. is 5.4 feet.

The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.

This is a problem of relative and absolute distances. First, we determine the absolute elevation of the surf shop at 1 P.M.:

[tex]x_{1} = 8.2\,ft + 2.2\,ft[/tex]

[tex]x_{1} = 10.4\,ft[/tex]

Now we determine the absolute elevation of the deck at 7 P.M.:

[tex]x_{2} = 10\,ft - 2.4\,ft[/tex]

[tex]x_{2} = 7.6\,ft[/tex]

Lastly, we calculate the elevation of the deck relative to the ocean surface at 1 P.M.:

[tex]x' = 7.6\,ft - 2.2\,ft[/tex]

[tex]x' = 5.4\,ft[/tex]

The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.

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