Suppose you have a bag containing 2 black marbles and 3 red marbles. You reach into the bag, select a marble, see what color it is and replace it in the bag. Then you repeat this process a second time. What is the probability of picking a red marble both times?

Answers

Answer 1

Answer:

[tex]\dfrac{9}{25}[/tex]

Step-by-step explanation:

Given that the bag contains black and red marbles.

Number of black marbles in the bag = 2

Number of red marbles in the bag = 3

Total number of marbles in the bag = Number of black marbles + Number of red marbles = 2 + 3 = 5

Let us have a look at the formula for probability of an event E, which can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(\text{First red marble}) = \dfrac{\text{Number of red marbles}}{\text{Total number of marbles}} = \dfrac{3}{5 }[/tex]

Now, the marble chosen at first is replaced.

Therefore, the count remains the same.

[tex]P(\text{Second red marble}) = \dfrac{\text{Number of red marbles}}{\text{Total number of marbles}} = \dfrac{3}{5}[/tex]

Now, the required probability can be found as:

[tex]P(\text{First red marble})\times P(\text{Second red marble}) = \dfrac{3}{5}\times \dfrac{3}{5} = \bold{\dfrac{9}{25} }[/tex]


Related Questions

Khalid and Jesse took different overnight trains. The graph shows the relationship between the total distance Khalid traveled and the time in hours. The distance Jesse traveled after x hours is given by the equation y = 150x. Who, if anyone, traveled at a faster speed? Use the drop-down menus to explain your answer.

Khalid’s rate is ____ miles per hour. Jesse’s rate is ____ miles per hour. So, ____ train traveled at a faster speed.

Answers

Answer:

Khalid’s rate is 140 mi/h. Jesse’s rate is 150 miles per hour

So, Jesse’s train traveled at a faster speed

Step-by-step explanation:

Here, we want to compare speeds

For Jesse’s train, the speed is 150 mi/h

we got this from the fact that the equation of a straight line is represented as;

y = mx + b

where m which is the slope represents the rate of change

m here is 150

For Khalid’s;

we can get his own rate from the graph

This can be obtained using the slope

We can simply have this as ;

m = (y2-y1)/(x2-x1)

Let us have two points

(4,560) and (0,0)

Thus;

m = 560/4 = 140 mi/h

Hence;

Khalid’s rate is 140 mi/h. Jesse’s rate is 150 miles per hour

So, Jesse’s train traveled at a faster speed

Suppose you want to go to the ice skating rink and it costs $8 to rent ice skates and $3.75 per hour to skate, write an equation that models this situation

Answers

Answer:

c=8+3.75x, where:

c is the cost to go to the ice skating ring

x is the number of hours

Step-by-step explanation:

From the information given, the cost to go to the ice skating ring is equal to the cost to rent ice skates plus the result of multiplying the cost to skate per hour for the number of hours and the equation would be:

c=8+3.75x, where:

c is the cost to go to the ice skating ring

x is the number of hours

Are you study of a population of 1200 frogs you feel that sold out of every 180 frogs in the population has spots on the back based on the results of the other study how many frogs in the population do not have spots in the back

Answers

Answer: 1,120 frogs

Step-by-step explanation:

If 12 out of every 180 frogs in the population have spots on their backs, the number that do not are;

= 180 - 12

= 168 frogs

168 frogs out of every 180 do not have spots. Out of 1,200 that would be;

= 168/180 * 1,200

= 1,120 frogs

Determine the number of terms n in each geometric series.
13) a1 = 0.75, r = 4, Sn =1023.75

Answers

Answer:

Number of terms: n=6

Step-by-step explanation:

We are given:

a₁ = 0.75

r = 4

Sₙ = 1023.75

We need to find number of terms i.e n

The formula used will be:[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]

Putting values and fining n

[tex]S_n=\frac{a(r^n-1)}{r-1}\\1023.75=\frac{0.75(4^n-1)}{4-1}\\ 1023.75=\frac{0.75(4^n-1)}{3}\\3\times 1023.75=0.75(4^n-1)\\3071.25=0.75(4^n-1)\\4^n-1=\frac{3071.25}{0.75}\\4^n-1=4095\\4^n=4095+1\\4^n=4096[/tex]

We know that [tex]4^6= 4096[/tex]

[tex]4^n=4^6[/tex]

Using Exponent rule: [tex]a^n=a^b => n=b[/tex]

[tex]n=6[/tex]

So, Number of terms: n=6

8x - 3 = 16x - 33 find x

Answers

Answer:

The answer is x=15/4

Step-by-step explanation:

8x - 3 = 16x - 33

8x−3−16x=16x−33−16x

−8x−3=−33

−8x−3+3=−33+3

−8x=−30

−8x/-8=−30/-8

x=15/4

The value of the x for the equation 8x-3=16x-33 is 3.75.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

8x-3=16x-33

Simplify the equation,

⇒33-3 = 16x-8x

⇒30 = 8x

⇒8x = 30

⇒x = 3.75

The value of x is 3.75.

To know more about Equation on:

https://brainly.com/question/187506

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What is 40% of 160???

Answers

40% of 160 is 65
Hope this helps :D

Answer:

64

Step-by-step explanation:

Cups are sold in packages of 8. Napkins are sold in packages of 12. What is the fewest number of packages of cups and the fewest number of packages of napkins that can be purchased so there will be the same number of cups as napkins? Hint**- What will you need to find GCF or LCM?

Answers

Answer:

24 packages

Step-by-step explanation:

Given

Represent Napkins with N and Cups with C

[tex]C = 8's[/tex]

[tex]N = 12's[/tex]

Required

Determine the smallest amount of N and C that will be equal

To do this, we simply calculate the LCM of N and C as follows:

List out the multiples of each..

[tex]C = 8,16,24,30....[/tex]

[tex]N = 12,24,36,48...[/tex]

The common multiple between both is 24.

Hence, 24 packages of N and C answers the question

Simplify 4a^2(a^3)/16b(b^2) edge

Answers

Answer;
B. a^5/4b^3
Explanation:
Steps

Remove parentheses: (a) = a
Cancel the common factor:4

Answer: Above answer is correct

Step-by-step explanation:

What is pm ⋅ pn equal to?

pm − n
pm + n
pm ⋅ n
pm ÷ n

Answers

Answer: pm • pn = p(m • n)

Step-by-step explanation:

8. A restaurant bill before tax is $15.60. How much is a 15% tip for this bill?

Answers

Answer:

Step-by-step explanation:

the tip would be = 2.325 which rounds up to 2.33$ in total this would be17.83

Solve the formula B=(R+M)/2 for R

Answers

Answer:

2B-M=R

Step-by-step explanation:

2(3v-5)=2(v-11)-4 can someone help me out ?


Answers

Answer:

v = -4

Step-by-step explanation:

2(3v - 5) = 2(v - 11) - 4

6v - 10 = 2v - 22 - 4

     +10          +10

6v = 2v -12 - 4

-2v   -2v

4v = -16

divide both sides by 4

v = -4

Hope this helps!!

The value of v = - 4.

We have the following equation -

2(3v - 5) = 2(v - 11) - 4

We have to find out the value of the variable v.

What is the solution of a equation in one variable?

The solution of an equation is the value of variable for which the left hand side is equal to right hand side.

We have the following equation -

2(3v - 5) = 2(v - 11) - 4

2 x 3v - 2 x 5 = 2v - 2 x 11 - 4

6v - 10 = 2v - 22 - 4

6v - 10 = 2v - 26

6v - 2v = - 26 + 10

4v = -16

v = - 4

Hence, the value of v = - 4.

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what is 3(5x-6)+2(x+8)?

A. 13x - 2
B. 13x+2
C. 17x+2
D. 17x-2

PLEASE PROVIDE A EXPLANATION WHY!! (I’m stuck on this question so I’m trying to figure out how to get the answer).

ASAP!

Answers

Answer:

I believe it's D. 17x-2

Answer:

D

Step-by-step explanation:

3(5x-6)+2(x+8)

=15x-18+2x+16

=15x+2x-18+16

=17x-2

What is the value of the Square Root of 625?

Answers

Answer:

25

Step-by-step explanation:

By prime factorisation, we get:

5 | 625

5 | 125

5 | 25

5 | 5

| 1

. So the prime factors are:

625 = 5 x 5 x 5 x 5

625 = 25 x 25

√625 = 25

Stewie wants to rent a moving truck.Suppose company a charges a rate of $40 per day band company b charges a $60 fee plus has a rate of $20 per day.For what number of days is the cost same?

Answers

Answer:

The indifference point is 3 days.

Step-by-step explanation:

Company A:

Total cost= 40*x

Company B:

Total cost= 60 + 20*x

x= number of days

To calculate the indifference point, we need to equal both formulas. and isolate x:

40x = 60 + 20x

20x= 60

x= 60/20

x= 3

The indifference point is 3 days.

Prove:

Company A:

Total cost= 40*3= $120

Company B:

Total cost= 60 + 20*3= $120

HELPP ASAP OR I WILL FAIL PLEASE

Answers

Step-by-step explanation:

The given equation is :

[tex]\dfrac{14+10x}{12}=-3[/tex]

Cross multiply,

[tex]14+10x=-3\times 12\\\\14+10x=-36\\\\10x=-36-14\\\\10x=-50\\\\x=-5[/tex]

This equation will have only one solution.

We can check the solution as follows :

Put x = -5 in LHS of the the given equation.

[tex]\text{LHS}=\dfrac{14+10x}{12}\\\\=\dfrac{14+10(-5)}{12}\\\\=\dfrac{14-50}{12}\\\\=\dfrac{-36}{12}\\\\=-3[/tex]

= RHS

Hence, this is the required solution.

The sum of any two number is 21and the sum of their squares is 261.find the numbers.​

Answers

Answer:

The two numbers are 6 and 15.

Step-by-step explanation:

[tex]x+y=21\\y=21-x\\x^{2} +y^{2} =261\\x^{2} +(21-x)^{2}=261\\x^{2} +441-42x+x^{2} =261\\2x^{2} -42x+180=0\\x^{2} -21x+90=0\\(x-6)(x-15)=0\\[/tex]

x=6 and x=15

How many different ways can you write a ratio?

Answers

Answer:

3 different ways

Step-by-step explanation:

Answer:

3 different ways

Step-by-step explanation:

hope this helps

example of the diffrent way to write a ratio :

5 to 10

5 : 10

[tex]\frac{5}{10}[/tex]

hey guys I really need help and it also asks to give my answer as a decimal!​

Answers

Answer:

(1,5)  is your answer

Step-by-step explanation:

You would have to divide the

2 and 10 by 2 and you would get (1,5)

Hope that help!Have a GREAT day!!

And Brainiest is needed!

At an electronic store, an air-conditioner marked $280 was on
sale at $259. What was the percentage of discount for the air-
conditioner?
986

Answers

Answer: maybe this will help

Step-by-step explanation:

Use the formula:

Discount = Marked Price – Selling Price

Percent Discount = Discount/Marked Price × 100%

Discount: 280 – 259 = 21

The marked price: 280

Which expression results in a sum or difference of five and six fifty fourths? (3 points) a eight and seven ninths minus three and four sixths b six and eight ninths minus one and five sixths c four and one sixths plus one and one ninth d three and three sixths plus two and four ninths

Answers

Answer:

a)  eight and seven ninths minus three and four sixths

Step-by-step explanation:

The required result is [tex]5\frac{6}{54}[/tex]

a)

[tex]8\frac{7}{9} -3\frac{4}{6}\\\\=\frac{79}{9} -\frac{22}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{474-198}{54} \\\\=\frac{276}{54}\\\\=5\frac{6}{54}[/tex]

b)

[tex]6\frac{8}{9} -1\frac{5}{6}\\\\=\frac{62}{9} -\frac{11}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{372-99}{54} \\\\=\frac{273}{54}\\\\=5\frac{3}{54}[/tex]

c)

[tex]4\frac{1}{6} +1\frac{1}{9}\\\\=\frac{10}{9} +\frac{25}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{60+225}{54} \\\\=\frac{285}{54}\\\\=5\frac{15 }{54}[/tex]

d)

[tex]3\frac{3}{6} +2\frac{4}{9}\\\\=\frac{22}{9} +\frac{21}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{132+189}{54} \\\\=\frac{321}{54}\\\\=5\frac{51 }{54}[/tex]

Answer: A

Step-by-step explanation: I did the assesment

PLS HELP im in a timededeedd teststs
Which is the graph of g(x) = ⌈x + 3⌉?

Answers

The answer to this question is B the second graph picture.

Is there a proportional relationship between time and the cost of the cell phone plan? Explain how you know.

Answers

Answer:

yes, phone companies, are only allowed to charge for the amount of data you use

Step-by-step explanation:

Please can I have an explanation, I am terrible at these kinds of questions! Q- A bag contains red, yellow and blue beads. The ratio of red beads to yellow beads is 2:3 The ratio of yellow beads to blue beads is 5:4 Work out what fraction of the beads are red.

Answers

Answer:

[tex]Red = \frac{10}{37}[/tex]

Step-by-step explanation:

Given

[tex]Red:Yellow = 2 : 3[/tex]

[tex]Yellow: Blue = 5 : 4[/tex]

Required

Determine the fraction of Red

First, we need to link the given ratios.

Since yellow is present in both ratios, we start by making the ratio of yellow equal in both ratios

Multiply this ratio by 5

[tex]Red:Yellow = 2 : 3[/tex]

This becomes

[tex]Red:Yellow = 10 :15[/tex]

Similarly, multiply this ratio by 3

[tex]Yellow: Blue = 5 : 4[/tex]

This becomes

[tex]Yellow:Blue =15:12[/tex]

At this point, we have:

[tex]Red:Yellow = 10 :15[/tex] and [tex]Yellow:Blue =15:12[/tex]

Combine

[tex]Red:Yellow:Blue = 10:15:12[/tex]

The fraction is then calculated as:

[tex]Red = \frac{Red}{Red +Yellow + Blue}[/tex]

This gives

[tex]Red = \frac{10}{10+15+12}[/tex]

[tex]Red = \frac{10}{37}[/tex]

Melissa works for a florist. She used her employee discount to purchase 10 roses at $1.00 each. If melissa saved $4.00 by using her employee discount, what is the regular price if one rose purchased from the florist?

Answers

Answer: $1.4

Step-by-step explanation:

Given that:

Discounted price roses = $1

Amount saved = $4

Regular price - discounted price = amount saved

x - 10(1) = 4

x - 10 = 4

x = 4 + 10

x = $14

Regular price of 10 roses = $14

Regular price per rose = $14 / 10 = $1.4

What is
1/6
as a decimal?
Give your answer rounded to 3 decimal places.

Answers

Answer:

I think it is 0.167

Answer:

.167

Step-by-step explanation:

[tex]1 \div 6 = 0.16666666 \\ repeating \: so \: you \: round \: to \: the \: thousandths \: making \: it \: .167[/tex]

Let u = (1,5), v = (-3, 3), and w = (2, 3). What is the direction angle of 4w - (2u + v)?
O= 59.0°
O = 173.7°
O=276.3°
O=353.7°

Answers

Answer:

D - 353.7

Step-by-step explanation:

Edge 2020

Answer:

option d

Step-by-step explanation:

edge 2023

I'LL MARK BRANLIST. A box contains 3 plain pencils and 3 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction in simplest form.

Answers

Answer:

First Box: 3/6 --- 1/2

Second Box: 3/10

The circumference of a circle is 30 centimeters. What is the approximate diameter of a circle

Answers

Answer:

the answer is: 9.55cm.

Answer:

10cm

Step-by-step explanation:

9.55 is the same thing , but rounded its 10

how to drawing a houses

Answers

You could find a You tube video


Just göögle how to draw a house easy and one should come up :)

Hope this helps

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